Official Paper

IBPS PO Prelims Memory Based Paper (Held On: 23 August 2025 Shift 2) (Previous Year Paper)

100 questions · 60 minutes · with answers · free

Reasoning Ability (35 questions)

Direction: Read the following information carefully and answer the questions based on given information.

Seven persons K, L, M, N, O, P and Q born in the same year and date but on different months which are March, April, May, June, July, August and November and each person is involve in seven different profession which are Artist, Accountant, Doctor, Designer, Engineer, Lawyer and Teacher. All the given information is not necessarily in the same order. L had born three months before the one who is Engineer. N who is an Artist born in the month which has even number of days. Only two persons born between the one who is Doctor and the one who is Accountant. K who is an Engineer born in the month which has odd number of days. O born four months after M. P is an Accountant. M is either Teacher or Lawyer. No one born before Q. The one who is Doctor born before Teacher who was not born after the one who is Lawyer. L is not the Designer.

1

Who among the following person is Designer?

  1. ((a))

    The one who is born on August.

  2. ((b))

    Q

  3. ((c))

    The one who is born in May.

  4. ((d))

    O

  5. ((e))

    None of these

Show Answer
Answer: ((d))

O

Here, persons are K, L, M, N, O, P and Q; given professions are Artist, Accountant, Doctor, Designer, Engineer, Lawyer and Teacher and months are March, April, May, June, July, August and November.

  1. L had born three months before the one who is Engineer.

  2. No one born before Q.

  3. K who is an Engineer born in the month which has odd number of days.

MonthsCase – 1Case – 2
PersonsProfessionsPersonsProfessions
MarchQQ
AprilL
MayL
June
JulyKEngineer
AugustKEngineer
November

 

  1. O born four months after M. Therefore, case 1 is eliminated.

  2. N who is an Artist born in the month which has even number of days.

MonthsCase – 2(a)Case – 2(b)
PersonsProfessionsPersonsProfessions
MarchQQ
AprilNArtist
MayLL
JuneNArtist
JulyMM
AugustKEngineerKEngineer
NovemberOO

 

  1. Only two persons born between the one who is Doctor and the one who is Accountant.

  2. P is an Accountant.

  3. M is either Teacher or Lawyer. Therefore, case 2(b) is eliminated.

  4. The one who is Doctor born before Teacher who was not born after the one who is Lawyer.

  5. L is not the Designer. Hence, the final arrangement is as follows

MonthsPersonsProfessions
MarchQDoctor
AprilNArtist
MayLTeacher
JunePAccountant
JulyMLawyer
AugustKEngineer
NovemberODesigner

 

Hence, O is the designer.

2

Who among the following person born two months before the one who is Lawyer?

  1. ((a))

    The one who is an Artist.

  2. ((b))

    Q

  3. ((c))

    P

  4. ((d))

    L

  5. ((e))

    The one who is Doctor.

Show Answer
Answer: ((d))

L

Here, persons are K, L, M, N, O, P and Q; given professions are Artist, Accountant, Doctor, Designer, Engineer, Lawyer and Teacher and months are March, April, May, June, July, August and November.

  1. L had born three months before the one who is Engineer.

  2. No one born before Q.

  3. K who is an Engineer born in the month which has odd number of days.

MonthsCase – 1Case – 2
PersonsProfessionsPersonsProfessions
MarchQQ
AprilL
MayL
June
JulyKEngineer
AugustKEngineer
November

 

  1. O born four months after M. Therefore, case 1 is eliminated.

  2. N who is an Artist born in the month which has even number of days.

MonthsCase – 2(a)Case – 2(b)
PersonsProfessionsPersonsProfessions
MarchQQ
AprilNArtist
MayLL
JuneNArtist
JulyMM
AugustKEngineerKEngineer
NovemberOO

 

  1. Only two persons born between the one who is Doctor and the one who is Accountant.

  2. P is an Accountant.

  3. M is either Teacher or Lawyer. Therefore, case 2(b) is eliminated.

  4. The one who is Doctor born before Teacher who was not born after the one who is Lawyer.

  5. L is not the Designer. Hence, the final arrangement is as follows

MonthsPersonsProfessions
MarchQDoctor
AprilNArtist
MayLTeacher
JunePAccountant
JulyMLawyer
AugustKEngineer
NovemberODesigner

 

Since, L born two months before M who is a Lawyer.

Hence, the correct answer is L.

3

In a certain way L is related to Accountant and Q is related to Artist then who among the following person is related to Engineer?

  1. ((a))

    N

  2. ((b))

    The one who is Teacher.

  3. ((c))

    M

  4. ((d))

    The one who is Lawyer.

  5. ((e))

    More than one option.

Show Answer
Answer: ((e))

More than one option.

Here, persons are K, L, M, N, O, P and Q; given professions are Artist, Accountant, Doctor, Designer, Engineer, Lawyer and Teacher and months are March, April, May, June, July, August and November.

  1. L had born three months before the one who is Engineer.

  2. No one born before Q.

  3. K who is an Engineer born in the month which has odd number of days.

MonthsCase – 1Case – 2
PersonsProfessionsPersonsProfessions
MarchQQ
AprilL
MayL
June
JulyKEngineer
AugustKEngineer
November

 

  1. O born four months after M. Therefore, case 1 is eliminated.

  2. N who is an Artist born in the month which has even number of days.

MonthsCase – 2(a)Case – 2(b)
PersonsProfessionsPersonsProfessions
MarchQQ
AprilNArtist
MayLL
JuneNArtist
JulyMM
AugustKEngineerKEngineer
NovemberOO

 

  1. Only two persons born between the one who is Doctor and the one who is Accountant.

  2. P is an Accountant.

  3. M is either Teacher or Lawyer. Therefore, case 2(b) is eliminated.

  4. The one who is Doctor born before Teacher who was not born after the one who is Lawyer.

  5. L is not the Designer. Hence, the final arrangement is as follows

MonthsPersonsProfessions
MarchQDoctor
AprilNArtist
MayLTeacher
JunePAccountant
JulyMLawyer
AugustKEngineer
NovemberODesigner

 

Since, L born just before the one who is Accountant and Q born just before the one who is an Artist in the same way M who is a Lawyer born just before K who is an Engineer.

Hence, the correct answer is more than one option.

4

Find the odd one out.

  1. ((a))

    Q

  2. ((b))

    The one who is Designer.

  3. ((c))

    K

  4. ((d))

    The one who is Lawyer.

  5. ((e))

    The one who is Teacher.

Show Answer
Answer: ((b))

The one who is Designer.

Here, persons are K, L, M, N, O, P and Q; given professions are Artist, Accountant, Doctor, Designer, Engineer, Lawyer and Teacher and months are March, April, May, June, July, August and November.

  1. L had born three months before the one who is Engineer.

  2. No one born before Q.

  3. K who is an Engineer born in the month which has odd number of days.

MonthsCase – 1Case – 2
PersonsProfessionsPersonsProfessions
MarchQQ
AprilL
MayL
June
JulyKEngineer
AugustKEngineer
November

 

  1. O born four months after M. Therefore, case 1 is eliminated.

  2. N who is an Artist born in the month which has even number of days.

MonthsCase – 2(a)Case – 2(b)
PersonsProfessionsPersonsProfessions
MarchQQ
AprilNArtist
MayLL
JuneNArtist
JulyMM
AugustKEngineerKEngineer
NovemberOO

 

  1. Only two persons born between the one who is Doctor and the one who is Accountant.

  2. P is an Accountant.

  3. M is either Teacher or Lawyer. Therefore, case 2(b) is eliminated.

  4. The one who is Doctor born before Teacher who was not born after the one who is Lawyer.

  5. L is not the Designer. Hence, the final arrangement is as follows

MonthsPersonsProfessions
MarchQDoctor
AprilNArtist
MayLTeacher
JunePAccountant
JulyMLawyer
AugustKEngineer
NovemberODesigner

 

Since, each person born in the month which has odd number of days except the one who is Designer.

Hence, the odd one is the one who is Designer.

5

Which of the following statement(s) is/are correct?

A) L born in May.

B) Q is a Doctor.

C) K born just before the one who is Designer.

  1. ((a))

    Both A and C

  2. ((b))

    Both B and C

  3. ((c))

    Only A

  4. ((d))

    All of these

  5. ((e))

    None of these

Show Answer
Answer: ((d))

All of these

Here, persons are K, L, M, N, O, P and Q; given professions are Artist, Accountant, Doctor, Designer, Engineer, Lawyer and Teacher and months are March, April, May, June, July, August and November.

  1. L had born three months before the one who is Engineer.

  2. No one born before Q.

  3. K who is an Engineer born in the month which has odd number of days.

MonthsCase – 1Case – 2
PersonsProfessionsPersonsProfessions
MarchQQ
AprilL
MayL
June
JulyKEngineer
AugustKEngineer
November

 

  1. O born four months after M. Therefore, case 1 is eliminated.

  2. N who is an Artist born in the month which has even number of days.

MonthsCase – 2(a)Case – 2(b)
PersonsProfessionsPersonsProfessions
MarchQQ
AprilNArtist
MayLL
JuneNArtist
JulyMM
AugustKEngineerKEngineer
NovemberOO

 

  1. Only two persons born between the one who is Doctor and the one who is Accountant.

  2. P is an Accountant.

  3. M is either Teacher or Lawyer. Therefore, case 2(b) is eliminated.

  4. The one who is Doctor born before Teacher who was not born after the one who is Lawyer.

  5. L is not the Designer. Hence, the final arrangement is as follows

MonthsPersonsProfessions
MarchQDoctor
AprilNArtist
MayLTeacher
JunePAccountant
JulyMLawyer
AugustKEngineer
NovemberODesigner

 

Since, L born in May. Therefore, statement A is correct.

Q is a Doctor. Therefore, statement B is correct.

K born just before the one who is Designer. Therefore, statement C is correct.

Hence, the correct answer is all of these.

6

Direction: In the question below are given three statements followed by two conclusions I, II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

Only trees are green.

Some blue are tree.

All blue are red.

Conclusions:

I. No green is red.

II. Some red are tree.

  1. ((a))

    Only conclusion (I) follows

  2. ((b))

    Only conclusion (II) follows

  3. ((c))

    Both conclusion (I) and (II) follows

  4. ((d))

    Either conclusion (I) or (II) follows

  5. ((e))

    Neither conclusion (I) nor (II) follows

Show Answer
Answer: ((c))

Both conclusion (I) and (II) follows

The least possible Venn diagram for the given statements is as follows,

Conclusions:

I. No green is red → True (It is definite because only trees are green)

II. Some red are tree → True (It is true because there is definite relation between tree and red)

Hence, Both conclusion (I) and (II) follows.

7

Directions: In the following questions three statements are given below followed by two conclusions. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read both the conclusions and decide which of the given conclusions logically follows from the given statements. 

 

Statements:

Only few Pen is Car.

A few Car is Table. 

Few Table is box.

 

Conclusions:

I. Some Car is box.

II. All Pen being Car is a possibility.

  1. ((a))

    Only conclusion 1 follow

  2. ((b))

    Only conclusion 2 follow

  3. ((c))

    Both conclusion 1 and 2 follows 

  4. ((d))

    No conclusion follows

  5. ((e))

    None of these

Show Answer
Answer: ((d))

No conclusion follows

The least possible Venn diagram for the given question is as follows,

Conclusions:

I. Some Car is box → False (it is possible but not definite because there is no direct/definite relation between car and box, so all the possibilities are true)

II. All Pen being Car is a possibility → False ( Only few Pen is Car)

Hence, No conclusion follows.

Note: Only few → As in the above question only few Pen is Car that means some part of Pen is Car but there is some part of Pen that is definitely not Car

8

Directions: In the question below are given three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

Only fanta are frooti.

No frooti is fan.

Some fan are foolish.

Conclusions: 

I. Some foolish are not frooti.

II. Some fanta are not fan.

  1. ((a))

    Only I follow

  2. ((b))

    Only II follow

  3. ((c))

    None follows

  4. ((d))

    Neither I nor II follow

  5. ((e))

    Both I and II follow

Show Answer
Answer: ((e))

Both I and II follow

The least possible Venn diagram for the given statements is as follows:

Conclusions: 

I. Some foolish are not frooti. → True (As we can see clearly in the diagram that some part of foolish is in Fan and no part of fan is frooti).

II. Some fanta are not fan. → True (As we can see clearly in the diagram that some fanta are frooti and no frooti are fan).

Hence, Both I and II follows.

Additional Information      

Only A are B means → All B are A (A and B can be any object) but no other element can be B.

Only Fanta is Frooti means all Frooti are Fanta but other elements (like Fan and Foolish) can never be Frooti.

9

Directions: In the question below are given three statements followed by three conclusions I, II, and III. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

Some keys are locks.

All locks are steel.

No steel is metal.

Conclusions:

I. No metal is a key.

II. No key is steel.

  1. ((a))

    Only I follows

  2. ((b))

    Either I or II follows

  3. ((c))

    Only II follows

  4. ((d))

    Both I and II follow

  5. ((e))

    None follow

Show Answer
Answer: ((e))

None follow

The least possible Venn diagram for the given statements is as follows,

Conclusions:

I. No metal is a key → false (it is possible but not definite because there is no relation between metal and key)

II. No key is steel → false (because Some keys are locks and All locks are steel. So, Some keys are steel.)

Hence, neither conclusion I nor conclusion II follows.

Directions: Read the information and answer the given questions.

Eight people, K, M, P, R, T, V, X, Z, work in three different IT departments: Cybersecurity, Data Analytics, and Cloud Services. At least two but not more than three persons work in each department. All of them celebrate different festivals: Diwali, Holi, Eid, Christmas, Navratri, Pongal, Onam, Baisakhi, but not in the same order.

The person who celebrates Christmas and M do not work in the same department. K celebrates Diwali but does not work in Data Analytics. P works in Cloud Services only with the person who celebrates Eid. Z does not celebrate Onam or Eid. Neither R nor M works in Cloud Services. The person who celebrates Holi works in Cloud Services. The person who celebrates Navratri does not work in Cybersecurity. R does not celebrate Pongal or Onam. The person who celebrates Onam works in Cybersecurity. Neither T nor X celebrates Eid and Navratri. M does not celebrate Navratri or Baisakhi. Z does not work in Cybersecurity. Neither T nor M works in Cybersecurity. M does not celebrate Christmas.

10

Who among the following works in Cybersecurity?

  1. ((a))

    The one who celebrates Holi

  2. ((b))

    The one who celebrates Eid

  3. ((c))

    The one who celebrates Onam

  4. ((d))

    The one who celebrates Navratri

  5. ((e))

    The one who celebrates Baisakhi

Show Answer
Answer: ((c))

The one who celebrates Onam

Given: Eight people, K, M, P, R, T, V, X, Z, work in three different IT departments: Cybersecurity, Data Analytics, and Cloud Services. At least two but not more than three persons work in each department. All of them celebrate different festivals: Diwali, Holi, Eid, Christmas, Navratri, Pongal, Onam, Baisakhi, but not in the same order.

1. P works in Cloud Services only with the person who celebrates Eid. (i.e., Only 2 people work in Cloud services and 3 each in Data Analytics and Cybersecurity)

Departments (No. of persons)Persons - Festivals
Cybersecurity (3)
Data Analytics (3)
Cloud Services (2)P, - Eid

 

2. K celebrates Diwali but does not work in Data Analytics. 

Departments (No. of persons)Persons - Festivals
Cybersecurity (3)K - Diwali
Data Analytics (3)
Cloud Services (2)P, - Eid

 

3. The person who celebrates Holi works in Cloud Services. 

Departments (No. of persons)Persons - Festivals
Cybersecurity (3)K - Diwali
Data Analytics (3)
Cloud Services (2)P - Holi, - Eid

 

4. The person who celebrates Navratri does not work in Cybersecurity.  5. The person who celebrates Onam works in Cybersecurity. 

Departments (No. of persons)Persons - Festivals
Cybersecurity (3)K - Diwali, - Onam, _
Data Analytics (3)- Navratri, _, _
Cloud Services (2)P - Holi, - Eid

 

6. Z does not work in Cybersecurity.  7. Z does not celebrate Onam or Eid. (i.e., Z works in Data Analytics)

Here, we have 2 Cases, i.e., Case 1 and Case 2.

Departments (No. of persons)Persons - Festivals
Case 1Case 2
Cybersecurity (3)K - Diwali, - Onam, _K - Diwali, - Onam, _
Data Analytics (3)Z - Navratri, _, _- Navratri, Z - , _
Cloud Services (2)P - Holi, - EidP - Holi, - Eid

 

8. M does not work in Cybersecurity.  9. M does not celebrate Christmas. 10. M does not celebrate Navratri or Baisakhi.  11. M does not work in Cloud Services. 12. The person who celebrates Christmas and M does not work in the same department.

Departments (No. of persons)Persons - Festivals
Case 1Case 2
Cybersecurity (3)K - Diwali, - Onam, - ChristmasK - Diwali, - Onam, - Christmas
Data Analytics (3)Z - Navratri, M - Pongal, - Baisakhi- Navratri, Z - Baisakhi, M - Pongal
Cloud Services (2)P - Holi, - EidP - Holi, - Eid

 

13. Neither T nor X celebrates Eid and Navratri. (i.e., X either celebrates Onam or Christmas) 14. T does not work in Cybersecurity. 

Now, we can eliminate Case 2. (Because in Case 2, T celebrates Navratri).

Departments (No. of persons)Persons - Festivals
Case 1
Cybersecurity (3)K - Diwali, - Onam, - Christmas
Data Analytics (3)Z - Navratri, M - Pongal, T - Baisakhi
Cloud Services (2)P - Holi, - Eid

 

15.  R doesn't work in Cloud Services. 16. R does not celebrate Pongal or Onam. 

This is our final arrangement,

Departments (No. of persons)Persons - Festivals
Case 1
Cybersecurity (3)K - Diwali, X - Onam, R - Christmas
Data Analytics (3)Z - Navratri, M - Pongal, T - Baisakhi
Cloud Services (2)P - Holi, V - Eid

 

Hence, the correct answer is The one who celebrates Onam.

11

Which of the following statements is true?

  1. ((a))

    X and Z work in the same department

  2. ((b))

    M works in Cloud Services

  3. ((c))

    R celebrates Christmas

  4. ((d))

    The one who works in Data Analytics celebrates Christmas

  5. ((e))

    None is true

Show Answer
Answer: ((c))

R celebrates Christmas

Given: Eight people, K, M, P, R, T, V, X, Z, work in three different IT departments: Cybersecurity, Data Analytics, and Cloud Services. At least two but not more than three persons work in each department. All of them celebrate different festivals: Diwali, Holi, Eid, Christmas, Navratri, Pongal, Onam, Baisakhi, but not in the same order.

1. P works in Cloud Services only with the person who celebrates Eid. (i.e., Only 2 people work in Cloud services and 3 each in Data Analytics and Cybersecurity)

Departments (No. of persons)Persons - Festivals
Cybersecurity (3)
Data Analytics (3)
Cloud Services (2)P, - Eid

 

2. K celebrates Diwali but does not work in Data Analytics. 

Departments (No. of persons)Persons - Festivals
Cybersecurity (3)K - Diwali
Data Analytics (3)
Cloud Services (2)P, - Eid

 

3. The person who celebrates Holi works in Cloud Services. 

Departments (No. of persons)Persons - Festivals
Cybersecurity (3)K - Diwali
Data Analytics (3)
Cloud Services (2)P - Holi, - Eid

 

4. The person who celebrates Navratri does not work in Cybersecurity.  5. The person who celebrates Onam works in Cybersecurity. 

Departments (No. of persons)Persons - Festivals
Cybersecurity (3)K - Diwali, - Onam, _
Data Analytics (3)- Navratri, _, _
Cloud Services (2)P - Holi, - Eid

 

6. Z does not work in Cybersecurity.  7. Z does not celebrate Onam or Eid. (i.e., Z works in Data Analytics)

Here, we have 2 Cases, i.e., Case 1 and Case 2.

Departments (No. of persons)Persons - Festivals
Case 1Case 2
Cybersecurity (3)K - Diwali, - Onam, _K - Diwali, - Onam, _
Data Analytics (3)Z - Navratri, _, _- Navratri, Z - , _
Cloud Services (2)P - Holi, - EidP - Holi, - Eid

 

8. M does not work in Cybersecurity.  9. M does not celebrate Christmas. 10. M does not celebrate Navratri or Baisakhi.  11. M does not work in Cloud Services. 12. The person who celebrates Christmas and M does not work in the same department.

Departments (No. of persons)Persons - Festivals
Case 1Case 2
Cybersecurity (3)K - Diwali, - Onam, - ChristmasK - Diwali, - Onam, - Christmas
Data Analytics (3)Z - Navratri, M - Pongal, - Baisakhi- Navratri, Z - Baisakhi, M - Pongal
Cloud Services (2)P - Holi, - EidP - Holi, - Eid

 

13. Neither T nor X celebrates Eid and Navratri. (i.e., X either celebrates Onam or Christmas) 14. T does not work in Cybersecurity. 

Now, we can eliminate Case 2. (Because in Case 2, T celebrates Navratri).

Departments (No. of persons)Persons - Festivals
Case 1
Cybersecurity (3)K - Diwali, - Onam, - Christmas
Data Analytics (3)Z - Navratri, M - Pongal, T - Baisakhi
Cloud Services (2)P - Holi, - Eid

 

15.  R doesn't work in Cloud Services. 16. R does not celebrate Pongal or Onam. 

This is our final arrangement,

Departments (No. of persons)Persons - Festivals
Case 1
Cybersecurity (3)K - Diwali, X - Onam, R - Christmas
Data Analytics (3)Z - Navratri, M - Pongal, T - Baisakhi
Cloud Services (2)P - Holi, V - Eid

 

Hence, the correct answer is R celebrates Christmas.

12

Which of the following is true about V?

  1. ((a))

    V celebrates Eid

  2. ((b))

    V works with the one who celebrates Baisakhi

  3. ((c))

    V and X work in the same department

  4. ((d))

    V and M work in Data Analytics

  5. ((e))

    None is correct

Show Answer
Answer: ((a))

V celebrates Eid

Given: Eight people, K, M, P, R, T, V, X, Z, work in three different IT departments: Cybersecurity, Data Analytics, and Cloud Services. At least two but not more than three persons work in each department. All of them celebrate different festivals: Diwali, Holi, Eid, Christmas, Navratri, Pongal, Onam, Baisakhi, but not in the same order.

1. P works in Cloud Services only with the person who celebrates Eid. (i.e., Only 2 people work in Cloud services and 3 each in Data Analytics and Cybersecurity)

Departments (No. of persons)Persons - Festivals
Cybersecurity (3)
Data Analytics (3)
Cloud Services (2)P, - Eid

 

2. K celebrates Diwali but does not work in Data Analytics. 

Departments (No. of persons)Persons - Festivals
Cybersecurity (3)K - Diwali
Data Analytics (3)
Cloud Services (2)P, - Eid

 

3. The person who celebrates Holi works in Cloud Services. 

Departments (No. of persons)Persons - Festivals
Cybersecurity (3)K - Diwali
Data Analytics (3)
Cloud Services (2)P - Holi, - Eid

 

4. The person who celebrates Navratri does not work in Cybersecurity.  5. The person who celebrates Onam works in Cybersecurity. 

Departments (No. of persons)Persons - Festivals
Cybersecurity (3)K - Diwali, - Onam, _
Data Analytics (3)- Navratri, _, _
Cloud Services (2)P - Holi, - Eid

 

6. Z does not work in Cybersecurity.  7. Z does not celebrate Onam or Eid. (i.e., Z works in Data Analytics)

Here, we have 2 Cases, i.e., Case 1 and Case 2.

Departments (No. of persons)Persons - Festivals
Case 1Case 2
Cybersecurity (3)K - Diwali, - Onam, _K - Diwali, - Onam, _
Data Analytics (3)Z - Navratri, _, _- Navratri, Z - , _
Cloud Services (2)P - Holi, - EidP - Holi, - Eid

 

8. M does not work in Cybersecurity.  9. M does not celebrate Christmas. 10. M does not celebrate Navratri or Baisakhi.  11. M does not work in Cloud Services. 12. The person who celebrates Christmas and M does not work in the same department.

Departments (No. of persons)Persons - Festivals
Case 1Case 2
Cybersecurity (3)K - Diwali, - Onam, - ChristmasK - Diwali, - Onam, - Christmas
Data Analytics (3)Z - Navratri, M - Pongal, - Baisakhi- Navratri, Z - Baisakhi, M - Pongal
Cloud Services (2)P - Holi, - EidP - Holi, - Eid

 

13. Neither T nor X celebrates Eid and Navratri. (i.e., X either celebrates Onam or Christmas) 14. T does not work in Cybersecurity. 

Now, we can eliminate Case 2. (Because in Case 2, T celebrates Navratri).

Departments (No. of persons)Persons - Festivals
Case 1
Cybersecurity (3)K - Diwali, - Onam, - Christmas
Data Analytics (3)Z - Navratri, M - Pongal, T - Baisakhi
Cloud Services (2)P - Holi, - Eid

 

15.  R doesn't work in Cloud Services. 16. R does not celebrate Pongal or Onam. 

This is our final arrangement,

Departments (No. of persons)Persons - Festivals
Case 1
Cybersecurity (3)K - Diwali, X - Onam, R - Christmas
Data Analytics (3)Z - Navratri, M - Pongal, T - Baisakhi
Cloud Services (2)P - Holi, V - Eid

 

Hence, the correct answer is V celebrates Eid.

13

Who among the following celebrates Onam?

  1. ((a))

    The one who works in Cloud Services

  2. ((b))

    T

  3. ((c))

    X

  4. ((d))

    The one who works in Data Analytics

  5. ((e))

    K

Show Answer
Answer: ((c))

X

Given: Eight people, K, M, P, R, T, V, X, Z, work in three different IT departments: Cybersecurity, Data Analytics, and Cloud Services. At least two but not more than three persons work in each department. All of them celebrate different festivals: Diwali, Holi, Eid, Christmas, Navratri, Pongal, Onam, Baisakhi, but not in the same order.

1. P works in Cloud Services only with the person who celebrates Eid. (i.e., Only 2 people work in Cloud services and 3 each in Data Analytics and Cybersecurity)

Departments (No. of persons)Persons - Festivals
Cybersecurity (3)
Data Analytics (3)
Cloud Services (2)P, - Eid

 

2. K celebrates Diwali but does not work in Data Analytics. 

Departments (No. of persons)Persons - Festivals
Cybersecurity (3)K - Diwali
Data Analytics (3)
Cloud Services (2)P, - Eid

 

3. The person who celebrates Holi works in Cloud Services. 

Departments (No. of persons)Persons - Festivals
Cybersecurity (3)K - Diwali
Data Analytics (3)
Cloud Services (2)P - Holi, - Eid

 

4. The person who celebrates Navratri does not work in Cybersecurity.  5. The person who celebrates Onam works in Cybersecurity. 

Departments (No. of persons)Persons - Festivals
Cybersecurity (3)K - Diwali, - Onam, _
Data Analytics (3)- Navratri, _, _
Cloud Services (2)P - Holi, - Eid

 

6. Z does not work in Cybersecurity.  7. Z does not celebrate Onam or Eid. (i.e., Z works in Data Analytics)

Here, we have 2 Cases, i.e., Case 1 and Case 2.

Departments (No. of persons)Persons - Festivals
Case 1Case 2
Cybersecurity (3)K - Diwali, - Onam, _K - Diwali, - Onam, _
Data Analytics (3)Z - Navratri, _, _- Navratri, Z - , _
Cloud Services (2)P - Holi, - EidP - Holi, - Eid

 

8. M does not work in Cybersecurity.  9. M does not celebrate Christmas. 10. M does not celebrate Navratri or Baisakhi.  11. M does not work in Cloud Services. 12. The person who celebrates Christmas and M does not work in the same department.

Departments (No. of persons)Persons - Festivals
Case 1Case 2
Cybersecurity (3)K - Diwali, - Onam, - ChristmasK - Diwali, - Onam, - Christmas
Data Analytics (3)Z - Navratri, M - Pongal, - Baisakhi- Navratri, Z - Baisakhi, M - Pongal
Cloud Services (2)P - Holi, - EidP - Holi, - Eid

 

13. Neither T nor X celebrates Eid and Navratri. (i.e., X either celebrates Onam or Christmas) 14. T does not work in Cybersecurity. 

Now, we can eliminate Case 2. (Because in Case 2, T celebrates Navratri).

Departments (No. of persons)Persons - Festivals
Case 1
Cybersecurity (3)K - Diwali, - Onam, - Christmas
Data Analytics (3)Z - Navratri, M - Pongal, T - Baisakhi
Cloud Services (2)P - Holi, - Eid

 

15.  R doesn't work in Cloud Services. 16. R does not celebrate Pongal or Onam. 

This is our final arrangement,

Departments (No. of persons)Persons - Festivals
Case 1
Cybersecurity (3)K - Diwali, X - Onam, R - Christmas
Data Analytics (3)Z - Navratri, M - Pongal, T - Baisakhi
Cloud Services (2)P - Holi, V - Eid

 

Hence, the correct answer is X.

14

Who among the following works in Data Analytics?

  1. ((a))

    Z

  2. ((b))

    The one who celebrates Pongal

  3. ((c))

    The one who celebrates Baisakhi

  4. ((d))

    Both a and b

  5. ((e))

    All A, B, and C

Show Answer
Answer: ((e))

All A, B, and C

Given: Eight people, K, M, P, R, T, V, X, Z, work in three different IT departments: Cybersecurity, Data Analytics, and Cloud Services. At least two but not more than three persons work in each department. All of them celebrate different festivals: Diwali, Holi, Eid, Christmas, Navratri, Pongal, Onam, Baisakhi, but not in the same order.

1. P works in Cloud Services only with the person who celebrates Eid. (i.e., Only 2 people work in Cloud services and 3 each in Data Analytics and Cybersecurity)

Departments (No. of persons)Persons - Festivals
Cybersecurity (3)
Data Analytics (3)
Cloud Services (2)P, - Eid

 

2. K celebrates Diwali but does not work in Data Analytics. 

Departments (No. of persons)Persons - Festivals
Cybersecurity (3)K - Diwali
Data Analytics (3)
Cloud Services (2)P, - Eid

 

3. The person who celebrates Holi works in Cloud Services. 

Departments (No. of persons)Persons - Festivals
Cybersecurity (3)K - Diwali
Data Analytics (3)
Cloud Services (2)P - Holi, - Eid

 

4. The person who celebrates Navratri does not work in Cybersecurity.  5. The person who celebrates Onam works in Cybersecurity. 

Departments (No. of persons)Persons - Festivals
Cybersecurity (3)K - Diwali, - Onam, _
Data Analytics (3)- Navratri, _, _
Cloud Services (2)P - Holi, - Eid

 

6. Z does not work in Cybersecurity.  7. Z does not celebrate Onam or Eid. (i.e., Z works in Data Analytics)

Here, we have 2 Cases, i.e., Case 1 and Case 2.

Departments (No. of persons)Persons - Festivals
Case 1Case 2
Cybersecurity (3)K - Diwali, - Onam, _K - Diwali, - Onam, _
Data Analytics (3)Z - Navratri, _, _- Navratri, Z - , _
Cloud Services (2)P - Holi, - EidP - Holi, - Eid

 

8. M does not work in Cybersecurity.  9. M does not celebrate Christmas. 10. M does not celebrate Navratri or Baisakhi.  11. M does not work in Cloud Services. 12. The person who celebrates Christmas and M does not work in the same department.

Departments (No. of persons)Persons - Festivals
Case 1Case 2
Cybersecurity (3)K - Diwali, - Onam, - ChristmasK - Diwali, - Onam, - Christmas
Data Analytics (3)Z - Navratri, M - Pongal, - Baisakhi- Navratri, Z - Baisakhi, M - Pongal
Cloud Services (2)P - Holi, - EidP - Holi, - Eid

 

13. Neither T nor X celebrates Eid and Navratri. (i.e., X either celebrates Onam or Christmas) 14. T does not work in Cybersecurity. 

Now, we can eliminate Case 2. (Because in Case 2, T celebrates Navratri).

Departments (No. of persons)Persons - Festivals
Case 1
Cybersecurity (3)K - Diwali, - Onam, - Christmas
Data Analytics (3)Z - Navratri, M - Pongal, T - Baisakhi
Cloud Services (2)P - Holi, - Eid

 

15.  R doesn't work in Cloud Services. 16. R does not celebrate Pongal or Onam. 

This is our final arrangement,

Departments (No. of persons)Persons - Festivals
Case 1
Cybersecurity (3)K - Diwali, X - Onam, R - Christmas
Data Analytics (3)Z - Navratri, M - Pongal, T - Baisakhi
Cloud Services (2)P - Holi, V - Eid

 

Hence, the correct answer is All A, B, and C​.

15

How many pairs of digits in the number 985553 have as many numbers between them as in the series of natural numbers both in backward and forward directions?

  1. ((a))

    Four

  2. ((b))

    Three

  3. ((c))

    Two

  4. ((d))

    Five

  5. ((e))

    One

Show Answer
Answer: ((a))

Four

Given number: 985553

Backward: (5, 9), (5, 8), (8, 9), (3, 5).

Hence, we can see that four such pairs are there.

Direction: Study the information given below carefully and answer the questions that follow.

Ankit starts walking from point A in west direction, after walking 5m he turns left from point B and walks for 2m to reach point C. Then, he turns right and walks for 10m to reach point D and he turns right from point D and walks for 6m to reach point E. Finally, he turns left and walks for 8m to reach point F.

16

If Ankit walks 4m from point F in south direction to reach point G, then what is the distance between G and B?

  1. ((a))

    23 m

  2. ((b))

    20 m

  3. ((c))

    15 m

  4. ((d))

    18 m

  5. ((e))

    21 m

Show Answer
Answer: ((d))

18 m

According to the given information, we get the following figure,

According to the given information, we get the following figure,

The distance between G and B = GH + HB = 8 + 10 = 18m

Hence, the distance between G and B is 18m.

17

What is the direction of E with respect to A?

  1. ((a))

    North

  2. ((b))

    West

  3. ((c))

    North-West

  4. ((d))

    South

  5. ((e))

    East

Show Answer
Answer: ((c))

North-West

According to the given information, we get the following figure,

Hence, E is in the north-west of A.

18

What is the shortest distance between F and D?

  1. ((a))

    10 m

  2. ((b))

    6 m

  3. ((c))

    8 m

  4. ((d))

    11 m

  5. ((e))

    12 m

Show Answer
Answer: ((a))

10 m

According to the given information, we get the following figure,

By using Pythagoras theorem,

The distance between F and D = √62 + 82 = √36 + 64 = √100 = 10m

 Hence, the distance between F and D is 10m.

Directions: Read the information and answer the following questions.

Eight officers, namely, J, K, L, M, T, U, V, and W, are serving in the Indian Air Force in different ranks in the following seniority order: Air Chief Marshal, Air Marshal, Air Vice Marshal, Air Commodore, Group Captain, Wing Commander, Squadron Leader and Flight Lieutenant. Air Chief Marshal is the senior-most rank, and Flight Lieutenant is the junior-most rank. Each officer will depart to visit a nearby base at a rounded hour.

Note: Every rank is held by exactly one of the eight officers; no two officers share the same departure hour.

V is neither ranked junior to T nor does V occupy a rank immediately adjacent to U. M departs 2 hours after L. L is exactly two ranks senior to K and exactly three ranks junior to W. Only two officers are ranked between J and K; K does not hold any rank senior to Wing Commander. V departs 1 hour before W. L leaves at around 4 hours before J, while W leaves at about 2 hours after J. K departs about six in the evening, while J departs half the time of K departs. The number of officers senior to W is one more than the number of officers junior to M. Only one officer is ranked between T and U. T departs 1 hour before L, while U departs 2 hours after T.

19

How many people designated before U?

  1. ((a))

    None

  2. ((b))

    One

  3. ((c))

    Two

  4. ((d))

    Three

  5. ((e))

    Four

Show Answer
Answer: ((d))

Three

Given: Eight officers, namely, J, K, L, M, T, U, V, and W, are serving in the Indian Air Force in different ranks in the following seniority order: Air Chief Marshal, Air Marshal, Air Vice Marshal, Air Commodore, Group Captain, Wing Commander, Squadron Leader and Flight Lieutenant. Air Chief Marshal is the senior-most rank, and Flight Lieutenant is the junior-most rank. Each officer will depart to visit a nearby base at a rounded hour.

  1. Only two officers are ranked between J and K; K does not hold any rank senior to Wing Commander.

Here, we have 2 Cases, i.e., Case 1 and Case 2.

DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air Marshal
Air Vice Marshal
Air CommodoreJ
Group CaptainJ
Wing Commander
Squadron LeaderK
Flight LieutenantK

 

  1. K departs about six in the evening, while J departs half the time of K departs. (i.e., K departs at 6 pm and J departs at 3 pm)
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air Marshal
Air Vice Marshal
Air CommodoreJ - 3 pm
Group CaptainJ - 3 pm
Wing Commander
Squadron LeaderK - 6 pm
Flight LieutenantK - 6 pm

 

  1. L is exactly two ranks senior to K and exactly three ranks junior to W.
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air MarshalW -
Air Vice MarshalW -
Air CommodoreJ - 3 pm
Group CaptainL -J - 3 pm
Wing CommanderL -
Squadron LeaderK - 6 pm
Flight LieutenantK - 6 pm

 

  1. L leaves at around 4 hours before J, while W leaves at about 2 hours after J. (i.e., L = 3 pm - 4 = 11 am, and W = 3 pm + 2 = 5 pm)
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air MarshalW - 5 pm
Air Vice MarshalW - 5 pm
Air CommodoreJ - 3 pm
Group CaptainL - 11 amJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderK - 6 pm
Flight LieutenantK - 6 pm

 

  1. The number of officers senior to W is one more than the number of officers junior to M.
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air MarshalW - 5 pm
Air Vice MarshalW - 5 pm
Air CommodoreJ - 3 pm
Group CaptainL - 11 amJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderK - 6 pmM -
Flight LieutenantM -K - 6 pm

 

  1. M departs 2 hours after L. (i.e., 11 am + 2 = 1 pm)
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air MarshalW - 5 pm
Air Vice MarshalW - 5 pm
Air CommodoreJ - 3 pm
Group CaptainL - 11 amJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderK - 6 pmM - 1 pm
Flight LieutenantM - 1 pmK - 6 pm

 

  1. Only one officer is ranked between T and U.
DesignationsPersons - Time
Case 1Case 2
Air Chief MarshalT/U -
Air MarshalW - 5 pmT/U -
Air Vice MarshalU/T -W - 5 pm
Air CommodoreJ - 3 pmU/T -
Group CaptainL - 11 amJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderK - 6 pmM - 1 pm
Flight LieutenantM - 1 pmK - 6 pm

 

8. V is neither ranked junior to T nor does V occupy a rank immediately adjacent to U. 

Now, we can eliminate Case 1. (Because in Case 1, V ranked junior to T)

DesignationsPersons - Time
Case 2
Air Chief MarshalV -
Air MarshalT -
Air Vice MarshalW - 5 pm
Air CommodoreU -
Group CaptainJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderM - 1 pm
Flight LieutenantK - 6 pm

 

  1. T departs 1 hour before L, while U departs 2 hours after T. (I.e., T = 11 am - 1 = 10 am, U = 10 am + 2 = 12 pm)
  2. V departs 1 hour before W. (V = 5 pm - 1 = 4 pm)
DesignationsPersons - Time
Case 2
Air Chief MarshalV - 4 pm
Air MarshalT - 10 am
Air Vice MarshalW - 5 pm
Air CommodoreU - 12 pm
Group CaptainJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderM - 1 pm
Flight LieutenantK - 6 pm

 

Hence, the correct answer is Three.

20

Which of the following combination is correct?

  1. ((a))

    T - 4 pm

  2. ((b))

    U - 11 am

  3. ((c))

    V - 5 pm

  4. ((d))

    W - 1 pm

  5. ((e))

    J - 3 pm

Show Answer
Answer: ((e))

J - 3 pm

Given: Eight officers, namely, J, K, L, M, T, U, V, and W, are serving in the Indian Air Force in different ranks in the following seniority order: Air Chief Marshal, Air Marshal, Air Vice Marshal, Air Commodore, Group Captain, Wing Commander, Squadron Leader and Flight Lieutenant. Air Chief Marshal is the senior-most rank, and Flight Lieutenant is the junior-most rank. Each officer will depart to visit a nearby base at a rounded hour.

  1. Only two officers are ranked between J and K; K does not hold any rank senior to Wing Commander.

Here, we have 2 Cases, i.e., Case 1 and Case 2.

DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air Marshal
Air Vice Marshal
Air CommodoreJ
Group CaptainJ
Wing Commander
Squadron LeaderK
Flight LieutenantK

 

  1. K departs about six in the evening, while J departs half the time of K departs. (i.e., K departs at 6 pm and J departs at 3 pm)
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air Marshal
Air Vice Marshal
Air CommodoreJ - 3 pm
Group CaptainJ - 3 pm
Wing Commander
Squadron LeaderK - 6 pm
Flight LieutenantK - 6 pm

 

  1. L is exactly two ranks senior to K and exactly three ranks junior to W.
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air MarshalW -
Air Vice MarshalW -
Air CommodoreJ - 3 pm
Group CaptainL -J - 3 pm
Wing CommanderL -
Squadron LeaderK - 6 pm
Flight LieutenantK - 6 pm

 

  1. L leaves at around 4 hours before J, while W leaves at about 2 hours after J. (i.e., L = 3 pm - 4 = 11 am, and W = 3 pm + 2 = 5 pm)
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air MarshalW - 5 pm
Air Vice MarshalW - 5 pm
Air CommodoreJ - 3 pm
Group CaptainL - 11 amJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderK - 6 pm
Flight LieutenantK - 6 pm

 

  1. The number of officers senior to W is one more than the number of officers junior to M.
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air MarshalW - 5 pm
Air Vice MarshalW - 5 pm
Air CommodoreJ - 3 pm
Group CaptainL - 11 amJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderK - 6 pmM -
Flight LieutenantM -K - 6 pm

 

  1. M departs 2 hours after L. (i.e., 11 am + 2 = 1 pm)
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air MarshalW - 5 pm
Air Vice MarshalW - 5 pm
Air CommodoreJ - 3 pm
Group CaptainL - 11 amJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderK - 6 pmM - 1 pm
Flight LieutenantM - 1 pmK - 6 pm

 

  1. Only one officer is ranked between T and U.
DesignationsPersons - Time
Case 1Case 2
Air Chief MarshalT/U -
Air MarshalW - 5 pmT/U -
Air Vice MarshalU/T -W - 5 pm
Air CommodoreJ - 3 pmU/T -
Group CaptainL - 11 amJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderK - 6 pmM - 1 pm
Flight LieutenantM - 1 pmK - 6 pm

 

8. V is neither ranked junior to T nor does V occupy a rank immediately adjacent to U. 

Now, we can eliminate Case 1. (Because in Case 1, V ranked junior to T)

DesignationsPersons - Time
Case 2
Air Chief MarshalV -
Air MarshalT -
Air Vice MarshalW - 5 pm
Air CommodoreU -
Group CaptainJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderM - 1 pm
Flight LieutenantK - 6 pm

 

  1. T departs 1 hour before L, while U departs 2 hours after T. (I.e., T = 11 am - 1 = 10 am, U = 10 am + 2 = 12 pm)
  2. V departs 1 hour before W. (V = 5 pm - 1 = 4 pm)
DesignationsPersons - Time
Case 2
Air Chief MarshalV - 4 pm
Air MarshalT - 10 am
Air Vice MarshalW - 5 pm
Air CommodoreU - 12 pm
Group CaptainJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderM - 1 pm
Flight LieutenantK - 6 pm

 

Hence, the correct answer is J - 3 pm.

21

Which one is odd?

  1. ((a))

  2. ((b))

    W

  3. ((c))

    T

  4. ((d))

    U

  5. ((e))

    V

Show Answer
Answer: ((c))

T

Given: Eight officers, namely, J, K, L, M, T, U, V, and W, are serving in the Indian Air Force in different ranks in the following seniority order: Air Chief Marshal, Air Marshal, Air Vice Marshal, Air Commodore, Group Captain, Wing Commander, Squadron Leader and Flight Lieutenant. Air Chief Marshal is the senior-most rank, and Flight Lieutenant is the junior-most rank. Each officer will depart to visit a nearby base at a rounded hour.

  1. Only two officers are ranked between J and K; K does not hold any rank senior to Wing Commander.

Here, we have 2 Cases, i.e., Case 1 and Case 2.

DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air Marshal
Air Vice Marshal
Air CommodoreJ
Group CaptainJ
Wing Commander
Squadron LeaderK
Flight LieutenantK

 

  1. K departs about six in the evening, while J departs half the time of K departs. (i.e., K departs at 6 pm and J departs at 3 pm)
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air Marshal
Air Vice Marshal
Air CommodoreJ - 3 pm
Group CaptainJ - 3 pm
Wing Commander
Squadron LeaderK - 6 pm
Flight LieutenantK - 6 pm

 

  1. L is exactly two ranks senior to K and exactly three ranks junior to W.
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air MarshalW -
Air Vice MarshalW -
Air CommodoreJ - 3 pm
Group CaptainL -J - 3 pm
Wing CommanderL -
Squadron LeaderK - 6 pm
Flight LieutenantK - 6 pm

 

  1. L leaves at around 4 hours before J, while W leaves at about 2 hours after J. (i.e., L = 3 pm - 4 = 11 am, and W = 3 pm + 2 = 5 pm)
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air MarshalW - 5 pm
Air Vice MarshalW - 5 pm
Air CommodoreJ - 3 pm
Group CaptainL - 11 amJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderK - 6 pm
Flight LieutenantK - 6 pm

 

  1. The number of officers senior to W is one more than the number of officers junior to M.
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air MarshalW - 5 pm
Air Vice MarshalW - 5 pm
Air CommodoreJ - 3 pm
Group CaptainL - 11 amJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderK - 6 pmM -
Flight LieutenantM -K - 6 pm

 

  1. M departs 2 hours after L. (i.e., 11 am + 2 = 1 pm)
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air MarshalW - 5 pm
Air Vice MarshalW - 5 pm
Air CommodoreJ - 3 pm
Group CaptainL - 11 amJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderK - 6 pmM - 1 pm
Flight LieutenantM - 1 pmK - 6 pm

 

  1. Only one officer is ranked between T and U.
DesignationsPersons - Time
Case 1Case 2
Air Chief MarshalT/U -
Air MarshalW - 5 pmT/U -
Air Vice MarshalU/T -W - 5 pm
Air CommodoreJ - 3 pmU/T -
Group CaptainL - 11 amJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderK - 6 pmM - 1 pm
Flight LieutenantM - 1 pmK - 6 pm

 

8. V is neither ranked junior to T nor does V occupy a rank immediately adjacent to U. 

Now, we can eliminate Case 1. (Because in Case 1, V ranked junior to T)

DesignationsPersons - Time
Case 2
Air Chief MarshalV -
Air MarshalT -
Air Vice MarshalW - 5 pm
Air CommodoreU -
Group CaptainJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderM - 1 pm
Flight LieutenantK - 6 pm

 

  1. T departs 1 hour before L, while U departs 2 hours after T. (I.e., T = 11 am - 1 = 10 am, U = 10 am + 2 = 12 pm)
  2. V departs 1 hour before W. (V = 5 pm - 1 = 4 pm)
DesignationsPersons - Time
Case 2
Air Chief MarshalV - 4 pm
Air MarshalT - 10 am
Air Vice MarshalW - 5 pm
Air CommodoreU - 12 pm
Group CaptainJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderM - 1 pm
Flight LieutenantK - 6 pm

 

Except for T, all others depart in pm.

Hence, the correct answer is T.

22

Which of the following pairs has exactly one rank between them?

  1. ((a))

    T - W

  2. ((b))

    J - K

  3. ((c))

    L - W

  4. ((d))

    V - M

  5. ((e))

    L - U

Show Answer
Answer: ((e))

L - U

Given: Eight officers, namely, J, K, L, M, T, U, V, and W, are serving in the Indian Air Force in different ranks in the following seniority order: Air Chief Marshal, Air Marshal, Air Vice Marshal, Air Commodore, Group Captain, Wing Commander, Squadron Leader and Flight Lieutenant. Air Chief Marshal is the senior-most rank, and Flight Lieutenant is the junior-most rank. Each officer will depart to visit a nearby base at a rounded hour.

  1. Only two officers are ranked between J and K; K does not hold any rank senior to Wing Commander.

Here, we have 2 Cases, i.e., Case 1 and Case 2.

DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air Marshal
Air Vice Marshal
Air CommodoreJ
Group CaptainJ
Wing Commander
Squadron LeaderK
Flight LieutenantK

 

  1. K departs about six in the evening, while J departs half the time of K departs. (i.e., K departs at 6 pm and J departs at 3 pm)
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air Marshal
Air Vice Marshal
Air CommodoreJ - 3 pm
Group CaptainJ - 3 pm
Wing Commander
Squadron LeaderK - 6 pm
Flight LieutenantK - 6 pm

 

  1. L is exactly two ranks senior to K and exactly three ranks junior to W.
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air MarshalW -
Air Vice MarshalW -
Air CommodoreJ - 3 pm
Group CaptainL -J - 3 pm
Wing CommanderL -
Squadron LeaderK - 6 pm
Flight LieutenantK - 6 pm

 

  1. L leaves at around 4 hours before J, while W leaves at about 2 hours after J. (i.e., L = 3 pm - 4 = 11 am, and W = 3 pm + 2 = 5 pm)
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air MarshalW - 5 pm
Air Vice MarshalW - 5 pm
Air CommodoreJ - 3 pm
Group CaptainL - 11 amJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderK - 6 pm
Flight LieutenantK - 6 pm

 

  1. The number of officers senior to W is one more than the number of officers junior to M.
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air MarshalW - 5 pm
Air Vice MarshalW - 5 pm
Air CommodoreJ - 3 pm
Group CaptainL - 11 amJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderK - 6 pmM -
Flight LieutenantM -K - 6 pm

 

  1. M departs 2 hours after L. (i.e., 11 am + 2 = 1 pm)
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air MarshalW - 5 pm
Air Vice MarshalW - 5 pm
Air CommodoreJ - 3 pm
Group CaptainL - 11 amJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderK - 6 pmM - 1 pm
Flight LieutenantM - 1 pmK - 6 pm

 

  1. Only one officer is ranked between T and U.
DesignationsPersons - Time
Case 1Case 2
Air Chief MarshalT/U -
Air MarshalW - 5 pmT/U -
Air Vice MarshalU/T -W - 5 pm
Air CommodoreJ - 3 pmU/T -
Group CaptainL - 11 amJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderK - 6 pmM - 1 pm
Flight LieutenantM - 1 pmK - 6 pm

 

8. V is neither ranked junior to T nor does V occupy a rank immediately adjacent to U. 

Now, we can eliminate Case 1. (Because in Case 1, V ranked junior to T)

DesignationsPersons - Time
Case 2
Air Chief MarshalV -
Air MarshalT -
Air Vice MarshalW - 5 pm
Air CommodoreU -
Group CaptainJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderM - 1 pm
Flight LieutenantK - 6 pm

 

  1. T departs 1 hour before L, while U departs 2 hours after T. (I.e., T = 11 am - 1 = 10 am, U = 10 am + 2 = 12 pm)
  2. V departs 1 hour before W. (V = 5 pm - 1 = 4 pm)
DesignationsPersons - Time
Case 2
Air Chief MarshalV - 4 pm
Air MarshalT - 10 am
Air Vice MarshalW - 5 pm
Air CommodoreU - 12 pm
Group CaptainJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderM - 1 pm
Flight LieutenantK - 6 pm

 

Hence, the correct answer is L - U.

23

Who among the following hold the rank of Air Chief Marshal?

  1. ((a))

    J

  2. ((b))

    L

  3. ((c))

    V

  4. ((d))

    W

  5. ((e))

    U

Show Answer
Answer: ((c))

V

Given: Eight officers, namely, J, K, L, M, T, U, V, and W, are serving in the Indian Air Force in different ranks in the following seniority order: Air Chief Marshal, Air Marshal, Air Vice Marshal, Air Commodore, Group Captain, Wing Commander, Squadron Leader and Flight Lieutenant. Air Chief Marshal is the senior-most rank, and Flight Lieutenant is the junior-most rank. Each officer will depart to visit a nearby base at a rounded hour.

  1. Only two officers are ranked between J and K; K does not hold any rank senior to Wing Commander.

Here, we have 2 Cases, i.e., Case 1 and Case 2.

DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air Marshal
Air Vice Marshal
Air CommodoreJ
Group CaptainJ
Wing Commander
Squadron LeaderK
Flight LieutenantK

 

  1. K departs about six in the evening, while J departs half the time of K departs. (i.e., K departs at 6 pm and J departs at 3 pm)
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air Marshal
Air Vice Marshal
Air CommodoreJ - 3 pm
Group CaptainJ - 3 pm
Wing Commander
Squadron LeaderK - 6 pm
Flight LieutenantK - 6 pm

 

  1. L is exactly two ranks senior to K and exactly three ranks junior to W.
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air MarshalW -
Air Vice MarshalW -
Air CommodoreJ - 3 pm
Group CaptainL -J - 3 pm
Wing CommanderL -
Squadron LeaderK - 6 pm
Flight LieutenantK - 6 pm

 

  1. L leaves at around 4 hours before J, while W leaves at about 2 hours after J. (i.e., L = 3 pm - 4 = 11 am, and W = 3 pm + 2 = 5 pm)
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air MarshalW - 5 pm
Air Vice MarshalW - 5 pm
Air CommodoreJ - 3 pm
Group CaptainL - 11 amJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderK - 6 pm
Flight LieutenantK - 6 pm

 

  1. The number of officers senior to W is one more than the number of officers junior to M.
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air MarshalW - 5 pm
Air Vice MarshalW - 5 pm
Air CommodoreJ - 3 pm
Group CaptainL - 11 amJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderK - 6 pmM -
Flight LieutenantM -K - 6 pm

 

  1. M departs 2 hours after L. (i.e., 11 am + 2 = 1 pm)
DesignationsPersons - Time
Case 1Case 2
Air Chief Marshal
Air MarshalW - 5 pm
Air Vice MarshalW - 5 pm
Air CommodoreJ - 3 pm
Group CaptainL - 11 amJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderK - 6 pmM - 1 pm
Flight LieutenantM - 1 pmK - 6 pm

 

  1. Only one officer is ranked between T and U.
DesignationsPersons - Time
Case 1Case 2
Air Chief MarshalT/U -
Air MarshalW - 5 pmT/U -
Air Vice MarshalU/T -W - 5 pm
Air CommodoreJ - 3 pmU/T -
Group CaptainL - 11 amJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderK - 6 pmM - 1 pm
Flight LieutenantM - 1 pmK - 6 pm

 

8. V is neither ranked junior to T nor does V occupy a rank immediately adjacent to U. 

Now, we can eliminate Case 1. (Because in Case 1, V ranked junior to T)

DesignationsPersons - Time
Case 2
Air Chief MarshalV -
Air MarshalT -
Air Vice MarshalW - 5 pm
Air CommodoreU -
Group CaptainJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderM - 1 pm
Flight LieutenantK - 6 pm

 

  1. T departs 1 hour before L, while U departs 2 hours after T. (I.e., T = 11 am - 1 = 10 am, U = 10 am + 2 = 12 pm)
  2. V departs 1 hour before W. (V = 5 pm - 1 = 4 pm)
DesignationsPersons - Time
Case 2
Air Chief MarshalV - 4 pm
Air MarshalT - 10 am
Air Vice MarshalW - 5 pm
Air CommodoreU - 12 pm
Group CaptainJ - 3 pm
Wing CommanderL - 11 am
Squadron LeaderM - 1 pm
Flight LieutenantK - 6 pm

 

Hence, the correct answer is V.

Directions: These questions are based on the following information.

There are eight members P, Z, A, Q, G, B, D and F in a family. There are three couples and no single parent in the family. Numbers of males is equal to number of females. F’s sister’s father is the only son of G, who is the only daughter of Z. B is married. Q is the son of A, who is the son-in-law of P. Gender of P and D is same.

24

How is D related to F?

  1. ((a))

    Wife

  2. ((b))

    Sister

  3. ((c))

    Mother

  4. ((d))

    Grandmother

  5. ((e))

    Sister-in-law

Show Answer
Answer: ((b))

Sister

From the given information,

  1. Numbers of males is equal to number of females. (4 males, 4 females)

  2. F’s sister’s father is the only son of G and G is the only daughter of Z. (G is the daughter of Z and also the grandmother of F)

  3. Q is the son of A and A is the son-in-law of P. (A is the father of Q)

  4. Gender of P and D is same.

 

Hence, D is the sister of F.

25

Who is the wife of Q?

  1. ((a))

    P

  2. ((b))

    Z

  3. ((c))

    G

  4. ((d))

    A

  5. ((e))

    B

Show Answer
Answer: ((e))

B

From the given information,

  1. Numbers of males is equal to number of females. (4 males, 4 females)

  2. F’s sister’s father is the only son of G and G is the only daughter of Z. (G is the daughter of Z and also the grandmother of F)

  3. Q is the son of A and A is the son-in-law of P. (A is the father of Q)

  4. Gender of P and D is same.

 

Hence, B is the wife of Q.

26

How G is related to F?

  1. ((a))

    Mother

  2. ((b))

    Aunt

  3. ((c))

    Grandmother

  4. ((d))

    Wife

  5. ((e))

    None of these

Show Answer
Answer: ((c))

Grandmother

From the given information,

  1. Numbers of males is equal to number of females. (4 males, 4 females)

  2. F’s sister’s father is the only son of G and G is the only daughter of Z. (G is the daughter of Z and also the grandmother of F)

  3. Q is the son of A and A is the son-in-law of P. (A is the father of Q)

  4. Gender of P and D is same.

 

Hence, G is the grandmother of F.

27

If it is possible to make only one meaningful word with the first, the third, the fifth and the eight letter of the word ‘BINOCULARS’, which of the following will be the second letter of the word? If no such word can be made, give 'X' as the answer and if more than one such word can be made, give 'Y' as the answer.

  1. ((a))

    L

  2. ((b))

    E

  3. ((c))

    S

  4. ((d))

    X

  5. ((e))

    Y

Show Answer
Answer: ((d))

X

Given Word: BINOCULARS

Word formed from letter which is at first, third, fifth, eight position = BNCA

No meaningful word can be formed from ‘BNCA’.

Hence, ‘X’ is correct answer.

Direction: Read the following information carefully and answer the questions based on given information.

Eight persons A, B, C, D, E, F, G and H live on the four storey building and each floor consists of two flats Flat 1 and Flat 2 such that lower most floor is floor 1 just below the floor 2 which is just below the floor 3 and so on. Flat 1 is in west of Flat 2 and Flat 1 of floor 1 is just below the flat 1 of floor 2 which is just below the flat 1 of floor 3 and so on and same for the flat 2. G does not live to Northeast of C. There is a gap of one floor between C and D and lives on the same flat. H lives to the Northwest of F. G and B lives on same flats of different floors. F lives to southeast of A. E lives two floors above D. The number of floors above H is one less than that of below G.

28

Who lives to the east of B?

  1. ((a))

    H

  2. ((b))

    C

  3. ((c))

    E

  4. ((d))

    A

  5. ((e))

    None

Show Answer
Answer: ((e))

None

Here, persons are A, B, C, D, E, F, G and H.

  1. E lives two floors above D.

  2. There is a gap of one floor between C and D and lives on the same flat.

FloorsCase – 1Case – 2
Flat 1Flat 2Flat 1Flat 2
4
3CEEC
2
1DD

 

  1. F lives to southeast of A.

  2. H lives to the Northwest of F. Therefore, case 2 is eliminated.

FloorsCase – 1(a)Case – 1(b)
Flat 1Flat 2Flat 1Flat 2
4HA
3CECE
2AH
1DFDF

 

  1. G and B lives on same flats of different floors.

  2. The number of floors above H is one less than that of below G.

  3. G does not live to Northeast of C. Therefore, case 1(b) is eliminated. Hence, the final arrangement is as follows

FloorsFlat 1Flat 2
4HB
3CE
2AG
1DF

 

Since, B lives on Flat 2 of Floor 4 so no one lives to the east of him.

Hence, the correct answer is None.

29

Find the odd one out.

  1. ((a))

    B

  2. ((b))

    E

  3. ((c))

    G

  4. ((d))

    F

  5. ((e))

    D

Show Answer
Answer: ((e))

D

Here, persons are A, B, C, D, E, F, G and H.

  1. E lives two floors above D.

  2. There is a gap of one floor between C and D and lives on the same flat.

FloorsCase – 1Case – 2
Flat 1Flat 2Flat 1Flat 2
4
3CEEC
2
1DD

 

  1. F lives to southeast of A.

  2. H lives to the Northwest of F. Therefore, case 2 is eliminated.

FloorsCase – 1(a)Case – 1(b)
Flat 1Flat 2Flat 1Flat 2
4HA
3CECE
2AH
1DFDF

 

  1. G and B lives on same flats of different floors.

  2. The number of floors above H is one less than that of below G.

  3. G does not live to Northeast of C. Therefore, case 1(b) is eliminated. Hence, the final arrangement is as follows

FloorsFlat 1Flat 2
4HB
3CE
2AG
1DF

 

Since, each person except D lives on Flat 2 whereas D lives on Flat 1.

Hence, the odd one is D.

30

Which of the following statement(s) is/are correct?

  1. ((a))

    D and F lives on different floors.

  2. ((b))

    B lives to the Northeast of A.

  3. ((c))

    C lives on Flat 2.

  4. ((d))

    G lives on Floor 2.

  5. ((e))

    Both 2 and 4

Show Answer
Answer: ((e))

Both 2 and 4

Here, persons are A, B, C, D, E, F, G and H.

  1. E lives two floors above D.

  2. There is a gap of one floor between C and D and lives on the same flat.

FloorsCase – 1Case – 2
Flat 1Flat 2Flat 1Flat 2
4
3CEEC
2
1DD

 

  1. F lives to southeast of A.

  2. H lives to the Northwest of F. Therefore, case 2 is eliminated.

FloorsCase – 1(a)Case – 1(b)
Flat 1Flat 2Flat 1Flat 2
4HA
3CECE
2AH
1DFDF

 

  1. G and B lives on same flats of different floors.

  2. The number of floors above H is one less than that of below G.

  3. G does not live to Northeast of C. Therefore, case 1(b) is eliminated. Hence, the final arrangement is as follows

FloorsFlat 1Flat 2
4HB
3CE
2AG
1DF

 

Since, D and F lives on same floors. Therefore, statement first is incorrect.

B lives to the Northeast of A. Therefore, statement second is correct.

C lives on Flat 1 of Floor 3. Therefore, statement third is incorrect.

G lives on Flat 2 of Floor 2. Therefore, statement fourth is correct.

Hence, the correct answer is both 2 and 4.

31

Who lives on Floor 3?

  1. ((a))

    CB

  2. ((b))

    AC

  3. ((c))

    HB

  4. ((d))

    EG

  5. ((e))

    CE

Show Answer
Answer: ((e))

CE

Here, persons are A, B, C, D, E, F, G and H.

  1. E lives two floors above D.

  2. There is a gap of one floor between C and D and lives on the same flat.

FloorsCase – 1Case – 2
Flat 1Flat 2Flat 1Flat 2
4
3CEEC
2
1DD

 

  1. F lives to southeast of A.

  2. H lives to the Northwest of F. Therefore, case 2 is eliminated.

FloorsCase – 1(a)Case – 1(b)
Flat 1Flat 2Flat 1Flat 2
4HA
3CECE
2AH
1DFDF

 

  1. G and B lives on same flats of different floors.

  2. The number of floors above H is one less than that of below G.

  3. G does not live to Northeast of C. Therefore, case 1(b) is eliminated. Hence, the final arrangement is as follows

FloorsFlat 1Flat 2
4HB
3CE
2AG
1DF

 

Hence, CE lives on Floor 3.

32

Which of the following statement(s) is/are incorrect?

A) C lives to west of E.

B) H lives on Flat 1 of Floor 4.

C) D lives just below the floor of A.

  1. ((a))

    Both A and B

  2. ((b))

    Both A and C

  3. ((c))

    Both B and C

  4. ((d))

    All of these

  5. ((e))

    None of these

Show Answer
Answer: ((e))

None of these

Here, persons are A, B, C, D, E, F, G and H.

  1. E lives two floors above D.

  2. There is a gap of one floor between C and D and lives on the same flat.

FloorsCase – 1Case – 2
Flat 1Flat 2Flat 1Flat 2
4
3CEEC
2
1DD

 

  1. F lives to southeast of A.

  2. H lives to the Northwest of F. Therefore, case 2 is eliminated.

FloorsCase – 1(a)Case – 1(b)
Flat 1Flat 2Flat 1Flat 2
4HA
3CECE
2AH
1DFDF

 

  1. G and B lives on same flats of different floors.

  2. The number of floors above H is one less than that of below G.

  3. G does not live to Northeast of C. Therefore, case 1(b) is eliminated. Hence, the final arrangement is as follows

FloorsFlat 1Flat 2
4HB
3CE
2AG
1DF

 

Since, C lives to west of E. Therefore, statement A is correct.

H lives on Flat 1 of Floor 4. Therefore, statement B is correct.

D lives just below the floor of A. Therefore, statement C is correct.

Hence, the answer is None of these.

Direction: Read the following information carefully and answer the questions based on given information.

Six persons O, R, T, V, W and X are arranged in decreasing order of their weights but not necessarily in same order. T is heavier than O. R is heavier than both X and W. Not more than two persons are lighter than T. V is not lighter than X. W is not the lightest person among all. Only one person is heavier than R. The weight of second heaviest person is 65 Kg. W is not heavier than T.

33

What could be the possible wight of V?

  1. ((a))

    60 Kg

  2. ((b))

    63 Kg

  3. ((c))

    68 Kg

  4. ((d))

    50 Kg

  5. ((e))

    55 Kg

Show Answer
Answer: ((c))

68 Kg

Here, persons are O, R, T, V, W and X.

  1. Only one person is heavier than R.

  2. R is heavier than both X and W.

  3. The weight of second heaviest person is 65 Kg. Therefore, R = 65 Kg.

            >  R  >  X,  W

  1. T is heavier than O.

  2. Not more than two persons are lighter than T.

  3. W is not the lightest person among all.

Case – 1

                   >  R   >      >   T    >       >         

Case – 2

                  >  R   >      >        >   T   >   O

  1. V is not lighter than X.

  2. W is not heavier than T. Therefore, case 2 is eliminated. Hence, the final arrangement is as follows

                V   >   R    >    X    >   T   >   W   >  O

                         65 Kg             

Since, V is the heaviest person among all so his weight must be more than R whose weight is 65 Kg.

Hence, the correct answer is 68 Kg.

34

Who is the heaviest person among all?

  1. ((a))

    X

  2. ((b))

    T

  3. ((c))

    W

  4. ((d))

    O

  5. ((e))

    V

Show Answer
Answer: ((e))

V

Here, persons are O, R, T, V, W and X.

  1. Only one person is heavier than R.

  2. R is heavier than both X and W.

  3. The weight of second heaviest person is 65 Kg. Therefore, R = 65 Kg.

            >  R  >  X,  W

  1. T is heavier than O.

  2. Not more than two persons are lighter than T.

  3. W is not the lightest person among all.

Case – 1

                   >  R   >      >   T    >       >         

Case – 2

                  >  R   >      >        >   T   >   O

  1. V is not lighter than X.

  2. W is not heavier than T. Therefore, case 2 is eliminated. Hence, the final arrangement is as follows

                V   >   R    >    X    >   T   >   W   >  O        

                         65 Kg

Hence, V is the heaviest person among all.

35

Which of the following statement(s) is/are incorrect?

A) R is just heavier than T.

B) Only O is heavier than W.

C) W is heavier than V.

  1. ((a))

    Both A and B

  2. ((b))

    Both A and C

  3. ((c))

    Only B

  4. ((d))

    All of these

  5. ((e))

    None of these

Show Answer
Answer: ((d))

All of these

Here, persons are O, R, T, V, W and X.

  1. Only one person is heavier than R.

  2. R is heavier than both X and W.

  3. The weight of second heaviest person is 65 Kg. Therefore, R = 65 Kg.

            >  R  >  X,  W

  1. T is heavier than O.

  2. Not more than two persons are lighter than T.

  3. W is not the lightest person among all.

Case – 1

                   >  R   >      >   T    >       >         

Case – 2

                  >  R   >      >        >   T   >   O

  1. V is not lighter than X.

  2. W is not heavier than T. Therefore, case 2 is eliminated. Hence, the final arrangement is as follows

                V   >   R    >    X    >   T   >   W   >  O      

                         65 Kg

Since, R is heavier than T but X is just heavier than T and lighter than R. Therefore, statement A is incorrect.

Only O is lighter than W. Therefore, statement B is incorrect.

W is lighter than V. Therefore, statement C is incorrect.

Hence, the incorrect statements are all of these.

English Language (30 questions)

Fill in the blanks with appropriate words.

People of all ages and cultures (1) to humour. Most people are able to (2) humour—be amused, smile or laugh at something funny and thus are (3) to have a sense of humour. The hypothetical person lacking a sense of humour would likely find the behaviour inducing it to be inexplicable, strange, or even (4). Though ultimately decided by personal taste, the extent to which a person finds something humorous (5) on a host of variables. Some claim that humour should not be explained. Many theories exist about what humour is and what social function it____(6)____.

36

Select the most appropriate option to fill in blank no 1.

  1. ((a))

    reply

  2. ((b))

    disregard

  3. ((c))

    respond

  4. ((d))

    reclaim

  5. ((e))

    facilitate

Show Answer
Answer: ((c))

respond

The correct answer is 'respond'.

Key Points

  • The given passage is about 'humour'.
  • Let us read the following sentence carefully: "People of all ages and cultures (1) to humour."
  • From the above sentence we can understand that everyone reacts to humour.
  • The meaning of the word 'respond' is 'react to or make a response'.
  • Therefore, the correct word for blank no 3 is 'respond'.

So, the correct sentence is: People of all ages and cultures respond to humour.

Additional Information

The meaning of the other given words:

  • reply: to say in response
  • disregard: to ignore
  • reclaim: to claim back
  • facilitate: to make something easy
37

Select the most appropriate option to fill in blank no 2.

  1. ((a))

    experience

  2. ((b))

    utilize

  3. ((c))

    explain

  4. ((d))

    rely

  5. ((e))

    accept

Show Answer
Answer: ((a))

experience

The correct answer is 'experience'.

Key Points

  • The given passage is about 'humour'.
  • Let us read the following sentence carefullyMost people are able to (2) humour—be amused, smile or laugh at something funny
  • From the given sentence, we can understand that one may experience humour.
  • Therefore, the word 'experience' is the correct word for blank no 2.

So, the correct sentence isMost people are able to experience humour—be amused, smile or laugh at something funny

Additional Information

The meaning of the other given words:

  • utilize: to put to use
  • explain: give a reason for
  • rely: to depend on
  • accept: to agree to receive
38

Select the most appropriate option to fill in blank no 3.

  1. ((a))

    discarded

  2. ((b))

    visualized

  3. ((c))

    realized

  4. ((d))

    facilitated

  5. ((e))

    considered

Show Answer
Answer: ((e))

considered

The correct answer is 'considered'.

Key Points

  • The given passage is about ''humour".
  • Let us read the following sentence carefullythus are (3) to have a sense of humour.
  • From the given sentence we can say that when someone reacts to something funny we understand that he/she has a sense of humour.
  • The meaning of the word 'considered' is 'regarded as'.
  • Therefore, the word 'considered' is the appropriate word for blank no 3.

So the correct sentence isthus are considered to have a sense of humour.

Additional Information

The meaning of the other given words:

  • discarded: got rid of
  • visualized: imagined
  • realized: figured out
  • facilitated: made easy or easier
39

Select the most appropriate option to fill in blank no 4.

  1. ((a))

    sensible

  2. ((b))

    irrational

  3. ((c))

    coherent

  4. ((d))

    strategy

  5. ((e))

    irresponsible

Show Answer
Answer: ((b))

irrational

The correct answer is 'irrational'.

Key Points

  • The given passage is about ''humour".
  • Let us read the following sentence carefullyThe hypothetical person lacking a sense of humour would likely find the behaviour inducing it to be inexplicable, strange, or even (4).
  • A hypothetical person may not understand the bahaviour which induces humour.
  • The word 'irrational' means 'not logical'.
  • Hence, the word 'irrational' is the correct word for blank no 4.

The correct sentence isThe hypothetical person lacking a sense of humour would likely find the behaviour inducing it to be inexplicable, strange, or even irrational.

Additional Information

The meaning of the other given words:

  • sensible: practical
  • coherent: logical
  • strategy: a plan of action
  • irresponsible: careless
40

Select the most appropriate option to fill in blank no 5.

  1. ((a))

    pointing

  2. ((b))

    clarifies

  3. ((c))

    praises

  4. ((d))

    depends

  5. ((e))

    claiming

Show Answer
Answer: ((d))

depends

The correct answer is 'depends'.

Key Points

  • The given passage is about 'humour'.
  • Let us read the following sentence carefullyThough ultimately decided by personal taste, the extent to which a person finds something humorous (5) on a host of variables.
  • From the given sentence, we can understand that certain factors decide that to what extent a person may find something humorous.
  • The word 'depend' means 'to rely on'.
  • So the correct word for blank no 5 is 'depends'.

The correct sentence isThough ultimately decided by personal taste, the extent to which a person finds something humorous depends on a host of variables.

Additional Information

The meaning of the other given words:

  • pointing: indicating
  • clarifies: to make clear
  • praises: to express approval of
  • claiming: to request formally
41

Select the most appropriate option to fill in blank no 6.

  1. ((a))

    serves

  2. ((b))

    engaged

  3. ((c))

    allows

  4. ((d))

    perceives

  5. ((e))

    focuses

Show Answer
Answer: ((a))

serves

The correct answer is 'serves'.

Key Points

  • The given passage is about 'humour'.
  • Let us read the following sentence carefullyMany theories exist about what humour is and what social function it____(6)____.
  • From the given sentence we can understand that humour does have some social functions which it carries out.
  • So, the word 'serves' is the correct word for blank no 6.

The correct sentence isMany theories exist about what humour is and what social function it serves.

Additional Information

The meaning of the other given words:

  • engaged: busy or occupied
  • allows: to give permission to
  • perceives: to become conscious of
  • focuses: to pay attention to
42

Directions: In the given question below, four sentences are given that may or may not contain an error. Choose the one that is grammatically as well as contextually correct and meaningful. If all the sentences are correct, mark "All are correct" as your answer.

  1. ((a))

    She has not wash her uniform properly.

  2. ((b))

    They have returned from Nagpur, have they?

  3. ((c))

    He found the box under the table.

  4. ((d))

    It was a time since people didn't have to lock their doors.

  5. ((e))

    All are correct

Show Answer
Answer: ((c))

He found the box under the table.

The correct answer is- 'He found the box under the table.'

Key Points   

  • Option 1 is incorrect.
  • The present perfect tense is a grammatical combination of the present tense and perfect aspect that is used to express a past event that has present consequences.
  • The present perfect of any verb is composed of two elements: the appropriate form of the auxiliary verb to have (present tense), plus the past participle of the main verb.
  • The past participle of a regular verb is 'base form + ed', e.g. played, arrived, looked.
  • Structure of Negative sentence in the Present Perfect Tense:
  • Subject + has/have + not + V3 + Object.
  • Example: You have not walked a lot today.
  • So, we need to replace "wash" with "washed."
  • Option 2 is incorrect.
  • Rules for question tag:
  • The sentence and the question tag must be in the same tense.
  • For the negative question tag, use the contracted form of 'helping verb' and 'not.'
  • If the sentence is positive, the question tag must be negative, and vice-versa.
  • Always use pronouns in the question tag.
  • Example*: didn't, haven't, doesn't*
  • ​​The given sentence is positive, so we must use a negative question tag.
  • Example: didn't, haven't, doesn't, hasn't​**
  • ​The helping verb in the given sentence is "have", thus, 'haven't they' should have been used.
  • Option 3 is correct.
  • We use "under" to talk about something that is below or lower than something else.
  • Example: The cat is under the table.
  • The sentence is grammatically and contextually correct.
  • ​Option 4 is incorrect.
  • Since: We use "since" as a subordinating conjunction to introduce a subordinate clause. We use it to give a reason for something.
  • Example: Sean had no reason to take a taxi since his flat was near enough to walk to.
  • When: at or on which (referring to a time or circumstance).
  • Example: Saturday is the day when I get my hair done.
  • So, we need to replace "since" with "when."
  • So, the correct answer is Option 3.

Correct sentence: He found the box under the table.

43

Directions: In the given question below, four sentences are given that may or may not contain an error. Choose the one that is grammatically as well as contextually correct and meaningful. If all the sentences are correct, mark "All are correct" as your answer.

  1. ((a))

    You must come and see us soon.

  2. ((b))

    When will you arrive at the bus stop?

  3. ((c))

    If she had been there, she would have heard the news.

  4. ((d))

    I could not find my keys this morning. 

  5. ((e))

    All are correct

Show Answer
Answer: ((e))

All are correct

The correct answer is option 5.

Key Points

To answer this question, let's break down each sentence to identify the grammatically and contextually correct ones:

  • Option 1: You must come and see us soon.
  • This sentence uses the modal verb "must" to express a warm invitation or a strong recommendation.
  • This sentence is grammatically and contextually correct.
  • Option 2: When will you arrive at the bus stop?
  • This is a correctly formed interrogative sentence in the future tense using the preposition "at" for a specific point or location.
  • This sentence is grammatically and contextually correct.
  • Option 3: If she had been there, she would have heard the news.
  • This is a perfect example of a third conditional sentence, correctly using the past perfect tense ("had been") in the if-clause and "would have" + past participle ("would have heard") in the main clause to describe a hypothetical past result.
  • This sentence is grammatically and contextually correct.
  • Option 4: I could not find my keys this morning.
  • This sentence correctly uses "could not" to express a lack of ability or success in performing an action at a specific time in the past.
  • This sentence is grammatically and contextually correct.
  • Since all of the provided sentences follow standard English grammar rules and are meaningful in their respective contexts, there are no errors present.
  • Therefore, the correct answer is "All are correct."
44

Directions: In the given question below, four sentences are given that may or may not contain an error. Choose the one that is grammatically as well as contextually correct and meaningful. If all the sentences are correct, mark "All are correct" as your answer.

  1. ((a))

    He knew he could not win the election—hence his decision to withdraw.

  2. ((b))

    There ought to be some good films at the cinema this weekend.

  3. ((c))

    She asked him to stay, but he had to go to work.

  4. ((d))

    He stood between his mother and his father. 

  5. ((e))

    All are correct

Show Answer
Answer: ((e))

All are correct

The correct answer is- 'All are correct.'

Key Points     

  • Option 1 is correct.
  • Hence is an adverb that means that is the reason or explanation for.
  • Example: His mother was Italian, hence his name - Luca.
  • The sentence is grammatically and contextually correct.
  • Option 2 is correct.
  • The modal verb "ought to be" is used to show when it is necessary or would be a good thing to perform the activity referred to by the following verb.
  • Example: We ought to be getting ready now.
  • The sentence is grammatically and contextually correct.
  • Option 3 is correct.
  • "But" is a coordinating conjunction that is used to connect ideas that contrast.
  • Example: I like him but I can't meet him.
  • The sentence is grammatically and contextually correct.
  • Option 4 is correct.
  • "Between" means in or into the space that separates two places, people, or objects.
  • Example: The town lies halfway between Rome and Florence.
  • The sentence is grammatically and contextually correct.
  • So, the correct answer is Option 5.
45

Directions: In each of the questions below, four sentences are given that may or may not contain an error. Choose the one that is grammatically as well as contextually correct and meaningful. If all the sentences are correct, mark 'All are correct as your answer'.

  1. ((a))

    The tourists complained about the poor accommodation they were provided during the tour.

  2. ((b))

    The father brought the toys and distributed them between his five children.

  3. ((c))

    The release of her new album is scheduled at next September.

  4. ((d))

    Hema and Rita were standing besides the door talking to each other.

  5. ((e))

    All are correct.

Show Answer
Answer: ((a))

The tourists complained about the poor accommodation they were provided during the tour.

The correct answer is 'The tourists complained about the poor accommodation they were provided during the tour' i.e. this sentence is grammatically and contextually correct.

Key Points

  • Let us explore the grammatical errors in the sentences:
  • In Option 2, the use of the preposition 'between' is incorrect.
  • We know that the preposition 'among' is used for more than two persons or things while the preposition 'between' is used only for two.(preposition 'among' का उपयोग दो से अधिक व्यक्तियों या चीजों के लिए किया जाता है जबकि the preposition 'between' का उपयोग केवल दो के लिए किया जाता है)
  • Therefore, the preposition 'among' should be used in place of the preposition 'between'.
  • Correct Sentence: The father brought the toys and distributed them among his five children.
  • In Option 3, the use of the preposition 'at' is incorrect.
  • The preposition 'at' is used for expressing location or arrival in a particular place or position. (preposition 'at' का प्रयोग स्थान या किसी विशेष स्थान या स्थिति में आगमन को व्यक्त करने के लिए किया जाता है)
  • The preposition 'for' is used for saying the particular time or date that something is planned to happen. (preposition 'for' का उपयोग किसी विशेष समय या तिथि को कहने के लिए किया जाता है कि कुछ होने की योजना है)
  • Therefore, the preposition 'for' should be used in place of the preposition 'at'.
  • Correct Sentence: The release of her new album is scheduled for next September.
  • In Option 4, the use of the preposition 'besides' is incorrect.
  • The preposition 'besides' means in addition to; apart from. (preposition 'besides' का अर्थ है के अतिरिक्त, के साथ; भी)
  • The preposition 'beside' means at the side of; next to. (preposition 'beside' का अर्थ है के बग़ल में, के पास)
  • Therefore, the preposition 'beside' should be used in place of the preposition 'besides'.
  • Correct Sentence: Hema and Rita were standing beside the door talking to each other.

Hence, the correct answer is option 1.

46

Directions: In the given question below, four sentences are given that may or may not contain an error. Choose the one that is grammatically as well as contextually correct and meaningful. If all the sentences are correct, mark "All are correct" as your answer.

  1. ((a))

    When he got home, he found that his flat had being burgled.

  2. ((b))

    Ravi hasn’t returned from his trip, hasn't he?

  3. ((c))

    She has not clean her room, so she is punished.

  4. ((d))

    She informed me that she had been preparing the plan for the past two days.

  5. ((e))

    All are correct

Show Answer
Answer: ((d))

She informed me that she had been preparing the plan for the past two days.

The correct answer is- 'She informed me that she had been preparing the plan for the past two days.'

Key Points  

  • Option 1 is incorrect.
  • The past perfect tense in the passive voice is made by putting "had been" before the past participle form of the verb.
  • Structure:
  • Active form: Subject + had + past participle form of the verb
  • Passive form: Subject + had been + past participle form of the verb
  • Example:
  • They had received the parcel.
  • *The parcel had been received by them.*​​
  • So, we need to replace "being" with "been."
  • Option 2 is incorrect.
  • Rules for question tag:
  • The sentence and the question tag must be in the same tense.
  • For the negative question tag, use the contracted form of 'helping verb' and 'not.'
  • If the sentence is positive, the question tag must be negative, and vice-versa.
  • Always use pronouns in the question tag.
  • Example*: didn't, haven't, doesn't*
  • ​​The given sentence is negative, so we must use a positive question tag.
  • Example: did, have, does, has​**
  • ​The helping verb in the given sentence is "has", thus, 'has he' should have been used.
  • Option 3 is incorrect.
  • The present perfect tense is a grammatical combination of the present tense and perfect aspect that is used to express a past event that has present consequences.
  • The present perfect of any verb is composed of two elements: the appropriate form of the auxiliary verb to have (present tense), plus the past participle of the main verb.
  • The past participle of a regular verb is 'base form + ed', e.g. played, arrived, looked.
  • Structure of Negative sentence in the Present Perfect Tense:
  • Subject + has/have + not + V3 + Object.
  • Example: You have not walked a lot today.
  • So, we need to replace "clean" with "cleaned."
  • Option 4 is correct.
  • When, for, since, and before are words that you may see used alongside the past perfect continuous tense.
  • The past perfect continuous is a verb tense that indicates something that began in the past, continued in the past, and also ended at a defined point in the past.
  • Structure: Subject + had been + V1+ing + Object
  • Example: I had been working at the company for five years when I got the promotion.
  • So, the correct answer is Option 4.

Correct sentence: She informed me that she had been preparing the plan for the past two days.

47

In the following question, two columns are given containing three phrases each. The phrases are labelled A, B, and C in the first column and P, Q, and R in the second column. A phrase from the first column may or may not connect with a phrase in the second column to make a grammatically and contextually meaningful sentence. Identify the correct option given below that gives the correct sequence in which one or more sentence can be formed. If none of the options makes it possible for a meaningful sentence to be formed, indicate 'None of these' as your answer.

Column 1Column 2
(A) The prisoners were facing cases including(P) This is just the beginning for us
(B) Thirteen prisoners escaped from(Q) In view of the surge in cases
(C) Abhishek Jorwal said over the phone(R) A jail in Haryana’s Rewari
  1. ((a))

    A-Q and C-R

  2. ((b))

    B-R and C-P

  3. ((c))

    C-P and A-Q

  4. ((d))

    B-R and A-Q

  5. ((e))

    None of these

Show Answer
Answer: ((b))

B-R and C-P

The correct answer is 'B-R and C-P'.

Key Points

  • From the given options, only the combination of phrases 'B-R and C-P' creates correct and meaningful sentences.
  • Let's look at the sentences:
  • 'B-R' forms the sentence: "Thirteen prisoners escaped from a jail in Haryana’s Rewari."
  • This sentence is grammatically correct and conveys a complete incident about prisoners escaping from a specific jail.
  • 'C-P' forms the sentence: "Abhishek Jorwal said over the phone, 'This is just the beginning for us.'"
  • This sentence is also grammatically correct and presents a complete quoted statement.
  • 'A-Q' does not form a meaningful sentence:
  • "The prisoners were facing cases including in view of the surge in cases" is grammatically incorrect and contextually incomplete.

Hence, the correct answer is option 2.

48

In the following question, two columns are given containing three phrases each. The phrases are labelled A, B, and C in the first column and P, Q, and R in the second column. A phrase from the first column may or may not connect with a phrase in the second column to make a grammatically and contextually meaningful sentence. Identify the correct option given below that gives the correct sequence in which one or more sentence can be formed. If none of the options makes it possible for a meaningful sentence to be formed, indicate 'None of these' as your answer.

Column 1Column 2
(A) A lookout notice has been issued(P) by the teams of the Delhi government
(B) I have given my details to them(Q) A case was then registered
(C) The passengers are being checked(R) Another passenger was heading to Punjab
  1. ((a))

    A-R

  2. ((b))

    B-Q

  3. ((c))

    C-P

  4. ((d))

    A-Q

  5. ((e))

    None of these

Show Answer
Answer: ((c))

C-P

The correct answer is C-P.

Key Points

Let us look at the sentence combinations:

  • Phrase C of column 1 should be matched with the phrase P of column 2 to make the sentence grammatically and contextually correct.
  • "The passengers are being checked by the teams of the Delhi government".
  • ​**​​Phrase C cannot be used with either phrase Q and phrase R because it would not make a meaningful sentence.
  • The passengers are being checked a case was then registered.
  • The passengers are being checked another passenger was heading to Punjab.
49

Directions: In the following sentence, four words given in bold are marked as A, B, C, and D, which are possible pairs to be interchanged. Choose the pair(s) of words that need to be interchanged to make the sentence grammatically correct and meaningful. If no interchange is required, mark option 5 i.e., "No interchange required" as your answer.

The Supreme Court tied (A) that even if a Governor (B) chooses not to act on a Bill, (C) the court’s hands are observed (D).

  1. ((a))

    B-C

  2. ((b))

    A-D and B-C

  3. ((c))

    A-D

  4. ((d))

    B-D

  5. ((e))

    No interchange required

Show Answer
Answer: ((c))

A-D

The correct answer is option 3.

Key Points

  • The original sentence reads: "The Supreme Court tied (A) that even if a Governor (B) chooses not to act on a Bill, (C) the court’s hands are observed (D)." This is grammatically incorrect and lacks proper meaning.
  • The word "tied" (A) and "observed" (D) are misplaced. Their interchange would make the sentence meaningful.
  • Correct Sentence: "The Supreme Court observed (A) that even if a Governor (B) chooses not to act on a Bill, (C) the court’s hands are tied (D)."

Therefore, the correct pair to be interchanged is A-D.

50

Directions: In the following sentence, four words given in bold are marked as A, B, C, and D, which are possible pairs to be interchanged. Choose the pair(s) of words that need to be interchanged to make the sentence grammatically correct and meaningful. If no interchange is required, mark option 5 i.e., "No interchange required" as your answer.

He aggrieved (A) that the court (B) was shutting out States argued (C) from approaching the centre.(D)

  1. ((a))

    B-D

  2. ((b))

    A-D and B-C

  3. ((c))

    A-C and B-D

  4. ((d))

    A-C

  5. ((e))

    No interchange required

Show Answer
Answer: ((c))

A-C and B-D

The correct answer is option 3.

Key Points

  • The given sentence is: "He aggrieved (A) that the court (B) was shutting out States argued (C) from approaching the centre (D)."
  • Let us analyze the sentence:
  • The word "aggrieved" (A) is incorrect in this context as it suggests a feeling of distress or being wronged, which does not fit the grammatical structure here.
  • The correct word in this position should be "argued," implying that the subject is presenting a case or argument.
  • The word "argued" (C) should be replaced with "aggrieved" to convey that the States feel wronged or distressed by the action of being shut out.
  • Thus, words A and C need to be interchanged.
  • Additionally, "court" (B) and "centre" (D) are incorrectly placed. The States are shut out from approaching the "court," not the "centre," so these two words must also be interchanged.
  • As a result, the pairs to be interchanged are A-C and B-D.
51

Directions: In the following sentence, four words given in bold are marked as A, B, C, and D, which are possible pairs to be interchanged. Choose the pair(s) of words that need to be interchanged to make the sentence grammatically correct and meaningful. If no interchange is required, mark option 5 i.e., "No interchange required" as your answer.

The Solicitor-General (A) noted that elected representatives (B) are answerable (C) to the people.(D)

  1. ((a))

    A-B

  2. ((b))

    A-B and C-D

  3. ((c))

    A-D

  4. ((d))

    B-C

  5. ((e))

    No interchange required

Show Answer
Answer: ((e))

No interchange required

The correct answer is option 5.

Key Points

No interchange is required in the given sentence.

  • The sentence provided is grammatically correct and meaningful as it stands.
  • Explanation: The Solicitor-General (A) noted that elected representatives (B) are answerable (C) to the people (D). The structure and placement of the words are accurate, and the meaning of the sentence is clear. Therefore, no changes are necessary.

Additional Information

Understanding the sentence:

  • Solicitor-General: A legal officer who advises the government.
  • Elected representatives: Individuals chosen by citizens to represent them in government.
  • Answerable: Responsible or accountable for actions.
  • People: The citizens or individuals of a country.
52

Directions: In the following sentence, four words given in bold are marked as A, B, C, and D, which are possible pairs to be interchanged. Choose the pair(s) of words that need to be interchanged to make the sentence grammatically correct and meaningful. If no interchange is required, mark option 5 i.e., "No interchange required" as your answer.

The law officer (A) observed that Governors (B) may delay (C) assent for several (D) reasons.

  1. ((a))

    A-B

  2. ((b))

    B-D

  3. ((c))

    C-D

  4. ((d))

    A-B and C-D

  5. ((e))

    No interchange required

Show Answer
Answer: ((e))

No interchange required

The correct answer is option 5.

Key Points

The sentence given is: The law officer (A) observed that Governors (B) may delay (C) assent for several (D) reasons.

  • To check if the sentence is grammatically correct and meaningful, we analyze the context and structure.
  • Here, the word pairings are logically and grammatically accurate.
  • The subject "The law officer" correctly "observed" (A), and "Governors" (B) can "delay" (C) "assent" (D) for "several reasons".
  • Thus, no interchange is required.

Therefore, the correct answer is option 5: No interchange required.

53

A sentence is given with four words marked as (A), (B), (C) and (D). These words may or may not be placed in their places. Four options with different arrangements of these words are given. Mark the option with the correct arrangement as the answer. If there is no change required, mark 'No rearrangement required' as your answer.

Inadequate access to water for stress (A) purposes, physical and psychological distance (B) on account of fetching (C) water from a sanitation (D) also leads to an increase in rate of preterm birth.

  1. ((a))

    BCDA

  2. ((b))

    DCAB

  3. ((c))

    DACB

  4. ((d))

    BACD

  5. ((e))

    No rearrangement required

Show Answer
Answer: ((c))

DACB

The correct answer is DACB.

Key Points

  • Stress: tension or strain
  • Distance: a far off point
  • Fetching: to go for and then bring back
  • Sanitation: the system to maintain healthy standards at a place where people stay

Important Points

We may consider A, B, C and D to be four blanks. A is the first blank, B is the second, C is the third and D is the last.

  • A noun is required for the first blank. Water is important for sanitation. Thus, the correct answer is 'sanitation'.
  • A noun should be chosen to use after the word 'psychological'. So, we should choose 'stress' which is appropriate for the second blank.
  • The word 'fetching' is appropriate for the third blank. One may fetch water, that is why 'fetching' is appropriate for the third blank.
  • The word 'distance' is appropriate for the last word as water can be fetched from distance.
<br>

The correct sentence will be: Inadequate access to water for sanitation purposes, physical and psychological stress on account of fetching water from a distance also leads to an increase in the rate of preterm birth.

54

A sentence is given with four words marked as (A), (B), (C) and (D). These words may or may not be placed in their places. Four options with different arrangements of these words are given. Mark the option with the correct arrangement as the answer. If there is no change required, mark 'No rearrangement required' as your answer.

Funding this challenges (A) is perhaps one of the biggest goal (B), but they are determined to **lead (C)**and to be an important (D) player here.

  1. ((a))

    CDAB

  2. ((b))

    ABDC

  3. ((c))

    BACD

  4. ((d))

    DCBA

  5. ((e))

    No rearrangement required

Show Answer
Answer: ((c))

BACD

The correct answer is BACD.

Key Points

  • Challenges**:** difficult tasks
  • Goal**:** purpose or intention
  • Lead**:** guide
  • Important**:** significant or main

Important Points

We may consider A, B, C and D to be four blanks. A is the first blank, B is the second, C is the third and D is the last.

  • A noun is required for the first blank. The word 'goal' is a noun and it is appropriate for the given sentence.
  • A noun should be chosen for the second blank. The word 'challenges' should be used here because 'funding' can be a difficult task.
  • The word 'lead' is a verb and after the preposition 'to' we use 'verb1'. Hence, the correct choice is 'lead'.
  • The word 'important' is appropriate for the last blank because it is qualifying the noun 'player'.
<br>

The correct sentence will be: Funding this goal is perhaps one of the biggest challenges, but they are determined to lead and to be an important player here.

55

A sentence is given with four words marked as (A), (B), (C) and (D). These words may or may not be placed in their places. Four options with different arrangements of these words are given. Mark the option with the correct arrangement as the answer. If there is no change required, mark 'No rearrangement required' as your answer.

India is making rapid (A) inroads in the Philippines by establishing (B) long-term trade and economic (C) ties even as it plans (D) to have a preferential trade agreement with the country.

  1. ((a))

    ABDC

  2. ((b))

    CDBA

  3. ((c))

    CBAD

  4. ((d))

    DCBA

  5. ((e))

    No rearrangement required

Show Answer
Answer: ((e))

No rearrangement required

The correct answer is 'No rearrangement required'.

Key Points

  • Rapid: quick
  • Establishing: setting up
  • Economic: financial or commercial
  • Plans: arranges

Important Points

 We may consider A, B, C and D to be four blanks. A is the first blank, B is the second, C is the third and D is the last.

  • The word 'rapid' is appropriate for the first blank because it is an adjective which is appropriately qualifying the word 'inroads'.
  • The word 'establishing' is appropriate for the second blank. The word 'by' is a preposition and a gerund is used after this.
  • An adjective is required here to qualify the word 'ties'. The word 'economic' is an adjective and it is appropriately qualifying the word 'ties'.
  • The base form of the verb('Verb1')should be chosen for the last blank. Therefore, the word 'plans' is appropriate for the last blank.
  • Hence, no rearrangement is required here.

Directions: Read the given passage carefully to answer the following questions. Each question will have five alternatives as its answer. Choose the correct option as your answer.

Ling Wei, a young entrepreneur in Shanghai, sat in his modest office, contemplating the future of his start-up firm, OptiPay. The company, founded just two years ago, had quickly become a leading innovator in China's burgeoning digital payment gateway industry. As China's economy continued to thrive, spurred by rapid technological advancements and government initiatives, OptiPay seized the opportunity to deliver seamless and secure payment solutions to a growing base of tech-savvy consumers. China's economy, the second-largest in the world, had experienced remarkable growth over the past few decades. This expansion had promoted a significant rise in disposable incomes and a vigorous consumer market. Consequently, the demand for efficient, reliable, and modern transaction systems increased. Ling Wei's OptiPay aimed to fill this gap by providing a user-friendly platform that facilitated hassle-free electronic payments for businesses and individuals alike. However, with success came competition. The payment gateway market was becoming increasingly crowded, with both local and international firms vying for market share. Giants like Alipay and WeChat Pay dominated the landscape, while smaller players continuously innovated to carve out their niches. Ling Wei knew that OptiPay needed to maintain its competitive edge to avoid being overshadowed or even out-competed by these larger, more established entities. One evening, Ling Wei received a call from an old friend who worked as an economic analyst. His friend warned him about the potential impact of fluctuating global trade relations on China's economy. "Ling," he said, "you must remain vigilant. The economy is strong, but it's not ________ to external pressures. Unless the trade policies shift favourably or unfavourably, your firm needs to be prepared for all scenarios." Ling Wei sat quietly after the call, his mind racing. He considered whether OptiPay should diversify its offerings to include financial services like microloans or investment options, thereby insulating itself from potential economic downturns. Such a move could strengthen the company’s resilience and attract a broader user base. Despite the challenges, Ling Wei remained resolute. He firmly believed in OptiPay's mission and its potential to revolutionise China's payment gateway landscape. With thoughtful planning and strategic innovation, Ling Wei was confident that his firm would not only survive but thrive, irrespective of the economic tides. He looked out the window at the bustling city and made a silent vow that OptiPay would not be one of the many start-ups that folded under pressure. Ling Wei's journey was a testament to the dynamic interplay between ambition, innovation, and the unpredictable forces of the economy. As he continued to navigate this complex landscape, his story mirrored the broader narrative of China's economic evolution—a tale of perseverance, adaptation, and relentless pursuit of excellence.

56

According to the passage, what industry is Ling Wei’s OptiPay primarily involved in?

  1. ((a))

    Loan services

  2. ((b))

    Electronic payment gateways

  3. ((c))

    E-commerce

  4. ((d))

    Real estate

  5. ((e))

    Consumer electronics

Show Answer
Answer: ((b))

Electronic payment gateways

The correct answer is Option 2.

 

Key Points

  • The passage primarily discusses Ling Wei's company, OptiPay, being a leading innovator in China's digital payment gateway industry.
  • It specifically mentions providing seamless and secure payment solutions to tech-savvy consumers.
  • There is no mention of OptiPay being involved in loan services, e-commerce, real estate, or consumer electronics.

Therefore, the correct answer is Option 2 (Electronic payment gateways).

 

Additional Information

  • Option 1: Loan services – There is a suggestion that OptiPay might diversify into financial services, but this is not its primary involvement.
  • Option 3: E-commerce – OptiPay provides payment solutions for e-commerce but is not primarily an e-commerce company itself.
  • Option 4: Real estate – There is no mention of real estate in the passage.
  • Option 5: Consumer electronics – There is no mention of consumer electronics in the passage.
57

Which two giants dominate the payment gateway market in China, according to the passage?

  1. ((a))

    PayPal and Venmo

  2. ((b))

    Google Pay and Apple Pay

  3. ((c))

    Alipay and WeChat Pay

  4. ((d))

    Samsung Pay and Amazon Pay

  5. ((e))

    Square and Stripe

Show Answer
Answer: ((c))

Alipay and WeChat Pay

The correct answer is Option 3.

 

Key Points

  • The passage specifically mentions that the payment gateway market in China is dominated by giants like Alipay and WeChat Pay.
  • There is no mention of other companies like PayPal, Venmo, Google Pay, Apple Pay, Samsung Pay, Amazon Pay, Square, or Stripe dominating the market.

Therefore, the correct answer is Option 3 (Alipay and WeChat Pay).

 

Additional Information

  • Option 1: PayPal and Venmo – These companies are well-known but not mentioned in the passage as dominating the Chinese market.
  • Option 2: Google Pay and Apple Pay – These are global payment solutions but not specifically mentioned regarding dominance in China.
  • Option 4: Samsung Pay and Amazon Pay – These services are not mentioned in the passage.
  • Option 5: Square and Stripe – These are also well-known companies but not mentioned in the passage as key players in the Chinese market.
58

According to the passage, which of the given statements is/are correct?

A) OptiPay aims to deliver seamless and secure payment solutions to consumers.

B) Ling Wei ever thought about diversifying OptiPay's offerings to include financial services.

C) The Chinese government's initiatives do not play a role in the thriving economy.

  1. ((a))

    Only A

  2. ((b))

    Only B

  3. ((c))

    Only C

  4. ((d))

    A and C

  5. ((e))

    A and B

Show Answer
Answer: ((e))

A and B

The correct answer is Option 5.

 

Key Points

  • Statement A: OptiPay aims to deliver seamless and secure payment solutions to consumers.
  • This statement is correct as it accurately reflects the context provided in the passage.
  • Statement B: Ling Wei ever thought about diversifying OptiPay's offerings to include financial services.
  • This statement is correct as the passage mentions Ling Wei considering diversification into financial services.
  • Statement C: The Chinese government's initiatives do not play a role in the thriving economy.
  • This statement is incorrect as the passage indicates that government initiatives do play a role in the economy's success.

Therefore, the correct answer is: ‘A and B’.

59

According to the passage, which of the given statements is incorrect?

A) Ling Wei's start-up, OptiPay, was founded five years ago.

B) OptiPay provides a user-friendly platform that facilitates electronic payments.

C) Ling Wei considered expanding into microloans and investment options.

  1. ((a))

    Only A

  2. ((b))

    Only B

  3. ((c))

    Only C

  4. ((d))

    A and B

  5. ((e))

    B and C

Show Answer
Answer: ((a))

Only A

The correct answer is Option 1.

 

Key Points

  • Statement A: Ling Wei's start-up, OptiPay, was founded five years ago.
  • This statement is incorrect as the passage states that OptiPay was founded just two years ago.
  • Statement B: OptiPay provides a user-friendly platform that facilitates electronic payments.
  • This statement is correct as it accurately reflects the passage.
  • Statement C: Ling Wei considered expanding into microloans and investment options.
  • This statement is correct as mentioned in the passage.

Therefore, the correct answer is: ‘Only A’.

60

What will fit in the blank taken from the passage: "The economy is strong, but it's not ________ to external pressures."

  1. ((a))

    accustomed

  2. ((b))

    immune

  3. ((c))

    vulnerable

  4. ((d))

    improved

  5. ((e))

    impervious

Show Answer
Answer: ((b))

immune

The correct answer is 'immune'.

 

Key Points

  • The word "immune" means not affected or influenced by something. (प्रतिरक्षित)
  • In the context, "immune" refers to the economy not being affected by external pressures.
  • The other options: "accustomed," "vulnerable," "improved," and "impervious" do not fit the context as appropriately.

​Therefore, the correct answer is 'Option 2'.

Complete Sentence: The economy is strong, but it's not immune to external pressures.

Additional Information

  • Accustomed (आदी): means being familiar with something and accepting it as normal.
  • Vulnerable (कमज़ोर): means being open to harm or damage.
  • Improved (सुधरा हुआ): means made better.
  • Impervious (अप्रवेश्य): means not allowing something to pass through.
61

Which of the following words is similar in meaning to "firm" in the context of the passage?

  1. ((a))

    Weak

  2. ((b))

    Newly-founded

  3. ((c))

    Unyielding

  4. ((d))

    Temporary

  5. ((e))

    Delicate

Show Answer
Answer: ((c))

Unyielding

The correct answer is: Unyielding.

Key Points

  • The word "firm" in the context of the passage refers to something that is solid, steadfast, and determined. It implies a lack of flexibility or give; being resolute. (अडिग)
  • Example: Despite the challenges, the company remained firm in its commitment to innovation.
  • "Unyielding" means not giving way to pressure; hard or solid; resolute. (अडिग)
  • Example: Her unyielding dedication to her studies earned her top honours in her class.

Therefore, the correct answer is: Unyielding.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

  • Weak (कमजोर): Lacking strength or firmness.
  • Example: His weak argument failed to convince anyone.
  • Newly-founded (नवस्थापित): Recently established or created.
  • Example: The newly-founded company aimed to revolutionise the tech industry.
  • Temporary (अस्थायी): Lasting for only a limited period of time; not permanent.
  • Example: The city set up temporary shelters for the flood victims.
  • Delicate (नाजुक): Easily broken or damaged; fragile.
  • Example: The delicate vase shattered into pieces when it fell.
62

Which of the following words is similar in meaning to "folded" in the context of the passage?

  1. ((a))

    Launched

  2. ((b))

    Expanded

  3. ((c))

    Collapsed

  4. ((d))

    Entered

  5. ((e))

    Grew

Show Answer
Answer: ((c))

Collapsed

The correct answer is: Collapsed.

Key Points

  • The word "folded" in the context of the passage means to cease to operate or fail; to close down or collapse. (बंद होना)
  • Example: Many small businesses folded during the economic crisis.
  • "Collapsed" means to fall down or fail suddenly and completely. (ढह जाना)
  • Example: The old building collapsed due to the earthquake.

Therefore, the correct answer is: Collapsed.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

  • Launched (शुरू): Set in motion or introduced.
  • Example: The company launched a new product last week.
  • Expanded (विस्तारित): Become or make larger or more extensive.
  • Example: The business expanded its operations to new markets.
  • Entered (प्रवेश किया): Come or go into a place.
  • Example: She entered the room quietly so as not to disturb anyone.
  • Grew (बढ़ा): Increase in size, number, or importance.
  • Example: The company grew rapidly over the past few years.
63

Which of the following words is opposite in meaning to "whether" in the context of the passage?

  1. ((a))

    If

  2. ((b))

    How

  3. ((c))

    Unless

  4. ((d))

    When

  5. ((e))

    Because

Show Answer
Answer: ((c))

Unless

The correct answer is: Unless.

Key Points

  • The word “whether” is used to introduce alternatives or express a doubt or choice between two possibilities. It generally means “if or not”. (क्या या नहीं)
  • Example: I am not sure whether he will attend the meeting.
  • “Unless” means “except if” or “if not” and introduces a condition that must be fulfilled for something to happen. (जब तक नहीं / यदि नहीं)
  • Example: You will not succeed unless you work hard.
  • Hence, in the given context, “unless” is the most appropriate answer as it expresses a conditional relationship that contrasts with the alternative or uncertainty expressed by “whether”.

Therefore, the correct answer is: Unless.

Additional Information

Here are the other options explained along with their Hindi meanings:

  • If (यदि): A conjunction used to express a condition or possibility.
  • Example: If you study regularly, you will improve your performance.
  • How (कैसे): Used to ask or explain the manner or way in which something happens.
  • Example: She explained how the machine works.
  • When (कब / जब): Used to refer to a particular time or occasion.
  • Example: Call me when you reach home.
  • Because (क्योंकि): Used to give a reason or explanation for something.
  • Example: He stayed at home because he was unwell.
64

Direction: Evaluate the following word, accompanied by three sentences containing it. Determine the sentence(s) that accurately convey the meaning of the given word.

Bring Up

A. She decided to bring up the topic of vacation plans during dinner.

B. He will bring up the groceries from the car.

C. The contractor was hired to bring up the new building downtown.

  1. ((a))

    Only A

  2. ((b))

    Both A & B

  3. ((c))

    Only C

  4. ((d))

    All A, B & C

  5. ((e))

    None of these

Show Answer
Answer: ((b))

Both A & B

The correct answer is option 2.

Key Points

  • To answer this question, let's first understand the meaning of the word given in the question:
  • Bring Up: to mention or introduce a topic in conversation; to move something or someone to a higher place or position. (उठाना, ऊपर लाना, चर्चा में लाना)
  • Now, let's examine the given sentences:
  • Sentence A: She decided to bring up the topic of vacation plans during dinner.
  • This sentence correctly uses the word "bring up" to describe the act of mentioning or introducing a topic in conversation.
  • Sentence B: He will bring up the groceries from the car.
  • This sentence correctly uses the word "bring up" to describe the act of moving something to a higher place or position.
  • Sentence C: The contractor was hired to bring up the new building downtown.
  • This sentence does not accurately use the word "bring up"; it suggests construction, which is not a correct usage of "bring up."
  • So, both sentences A and B correctly use the word "bring up" to illustrate different contexts of introducing a topic and moving items to a higher place.

Therefore, the correct answer is "Both A & B."

65

Direction: Evaluate the following word, accompanied by three sentences containing it. Determine the sentence(s) that accurately convey the meaning of the given word.

Look After

A. Could you look after my dog while I'm on vacation?

B. He needs to look after his younger brother.

C. I will look after the report before submitting it to the manager.

  1. ((a))

    Only A

  2. ((b))

    Both A & B

  3. ((c))

    Only C

  4. ((d))

    All A, B & C

  5. ((e))

    None of these

Show Answer
Answer: ((b))

Both A & B

The correct answer is option 2.

Key Points

  • To answer this question, let's first understand the meaning of the word given in the question:
  • Look After: to take care of or be responsible for someone or something. (देखभाल करना, ध्यान रखना)
  • Now, let's examine the given sentences:
  • Sentence A: Could you look after my dog while I'm on vacation?
  • This sentence correctly uses the word "look after" to describe taking care of a dog during the owner's absence.
  • Sentence B: He needs to look after his younger brother.
  • This sentence correctly uses the word "look after" to describe taking care of his younger brother.
  • Sentence C: I will look after the report before submitting it to the manager.
  • This sentence does not accurately use the word "look after". The correct term here would be "look over" or "review."
  • So, both sentences A and B correctly use the word "look after" to illustrate taking care of someone or something.

Therefore, the correct answer is "Both A & B."

Quantitative Aptitude (35 questions)

Directions: Study the following information carefully and answer the questions.

The table below shows the total number of pencils produced (Wooden + Mechanical) and the total revenue generated from their sales by five different manufacturers (P, Q, R, S, and T).

ManufacturerTotal Pencils Produced (Wooden + Mechanical)Total Revenue (in ₹)
P120018,000
Q150025,500
R90011,700
S180029,700
T200036,000

 

Note: The selling price per Wooden pencil is ₹12, and the selling price per Mechanical pencil is ₹18. Assume that all pencils produced were sold.

66

What is the ratio of the total number of Wooden pencils manufactured by P and Q together to the total number of Mechanical pencils manufactured by R and S together?

  1. ((a))

    13:28

  2. ((b))

    17:30

  3. ((c))

    3:2

  4. ((d))

    5:4

  5. ((e))

    None of these

Show Answer
Answer: ((b))

17:30

General Solution:

Let’s find how many Wooden and Mechanical pencils each manufacturer sold.

Equation (per manufacturer):

Let W = wooden count, M = mechanical count.

W + M = Total

12W + 18M = Revenue

Reduce: divide the revenue equation by 6 → 2W + 3M = Revenue/6.

Substitute W = Total − M → 2(Total − M) + 3M = Revenue/6 → 2 × Total + M = Revenue/6

So

⇒ M = Revenue/6 − 2 × Total

⇒ W = Total − M

Now let's compute for each manufacturer:

P:

Revenue/6 = 18,000 ÷ 6 = 3,000

M = 3,000 − 2×1,200 = 3,000 − 2,400 = 600

W = 1,200 − 600 = 600

Q:

Revenue/6 = 25,500 ÷ 6 = 4,250

M = 4,250 − 2×1,500 = 4,250 − 3,000 = 1,250

W = 1,500 − 1,250 = 250

R:

Revenue/6 = 11,700 ÷ 6 = 1,950

M = 1,950 − 2×900 = 1,950 − 1,800 = 150

W = 900 − 150 = 750

S:

Revenue/6 = 29,700 ÷ 6 = 4,950

M = 4,950 − 2×1,800 = 4,950 − 3,600 = 1,350

W = 1,800 − 1,350 = 450

T:

Revenue/6 = 36,000 ÷ 6 = 6,000

M = 6,000 − 2×2,000 = 6,000 − 4,000 = 2,000

W = 2,000 − 2,000 = 0

Thus,

ManufacturerTotalWooden (W)Mechanical (M)
P1200600600
Q15002501250
R900750150
S18004501350
T200002000

 

Calculations:

Wooden (P + Q) = 600 + 250 = 850

Mechanical (R + S) = 150 + 1350 = 1500

Required ratio = Wooden (P + Q) : Mechanical (R + S)

= 850 : 1500

= 17 : 30

Hence, the correct answer is 17:30.

67

By what percentage did the total number of pencils produced by Manufacturer T increase compared to Manufacturer Q?

  1. ((a))

    14.28%

  2. ((b))

    66.67%

  3. ((c))

    33.33%

  4. ((d))

    16.67%

  5. ((e))

    None of these

Show Answer
Answer: ((c))

33.33%

General Solution:

Let’s find how many Wooden and Mechanical pencils each manufacturer sold.

Equation (per manufacturer):

Let W = wooden count, M = mechanical count.

W + M = Total

12W + 18M = Revenue

Reduce: divide the revenue equation by 6 → 2W + 3M = Revenue/6.

Substitute W = Total − M → 2(Total − M) + 3M = Revenue/6 → 2 × Total + M = Revenue/6

So

⇒ M = Revenue/6 − 2 × Total

⇒ W = Total − M

Now let's compute for each manufacturer:

P:

Revenue/6 = 18,000 ÷ 6 = 3,000

M = 3,000 − 2×1,200 = 3,000 − 2,400 = 600

W = 1,200 − 600 = 600

Q:

Revenue/6 = 25,500 ÷ 6 = 4,250

M = 4,250 − 2×1,500 = 4,250 − 3,000 = 1,250

W = 1,500 − 1,250 = 250

R:

Revenue/6 = 11,700 ÷ 6 = 1,950

M = 1,950 − 2×900 = 1,950 − 1,800 = 150

W = 900 − 150 = 750

S:

Revenue/6 = 29,700 ÷ 6 = 4,950

M = 4,950 − 2×1,800 = 4,950 − 3,600 = 1,350

W = 1,800 − 1,350 = 450

T:

Revenue/6 = 36,000 ÷ 6 = 6,000

M = 6,000 − 2×2,000 = 6,000 − 4,000 = 2,000

W = 2,000 − 2,000 = 0

Thus,

ManufacturerTotalWooden (W)Mechanical (M)
P1200600600
Q15002501250
R900750150
S18004501350
T200002000

 

Calculations:

Manufacturer Q = 1500

Manufacturer T = 2000

Percentage Increase = ((New Value - Old Value) / Old Value) × 100

Percentage Increase = ((2000 - 1500) / 1500) × 100

= (500 / 1500) × 100

= (1/3) × 100

= 33.33%

The total number of pencils produced by Manufacturer T increased by 33.33% compared to Manufacturer Q.

Hence, the correct answer is 33.33%.

68

What is the average number of Wooden pencils manufactured by manufacturers P, R, and S?

  1. ((a))

    400

  2. ((b))

    1050

  3. ((c))

    600

  4. ((d))

    550

  5. ((e))

    800

Show Answer
Answer: ((c))

600

General Solution:

Let’s find how many Wooden and Mechanical pencils each manufacturer sold.

Equation (per manufacturer):

Let W = wooden count, M = mechanical count.

W + M = Total

12W + 18M = Revenue

Reduce: divide the revenue equation by 6 → 2W + 3M = Revenue/6.

Substitute W = Total − M → 2(Total − M) + 3M = Revenue/6 → 2 × Total + M = Revenue/6

So

⇒ M = Revenue/6 − 2 × Total

⇒ W = Total − M

Now let's compute for each manufacturer:

P:

Revenue/6 = 18,000 ÷ 6 = 3,000

M = 3,000 − 2×1,200 = 3,000 − 2,400 = 600

W = 1,200 − 600 = 600

Q:

Revenue/6 = 25,500 ÷ 6 = 4,250

M = 4,250 − 2×1,500 = 4,250 − 3,000 = 1,250

W = 1,500 − 1,250 = 250

R:

Revenue/6 = 11,700 ÷ 6 = 1,950

M = 1,950 − 2×900 = 1,950 − 1,800 = 150

W = 900 − 150 = 750

S:

Revenue/6 = 29,700 ÷ 6 = 4,950

M = 4,950 − 2×1,800 = 4,950 − 3,600 = 1,350

W = 1,800 − 1,350 = 450

T:

Revenue/6 = 36,000 ÷ 6 = 6,000

M = 6,000 − 2×2,000 = 6,000 − 4,000 = 2,000

W = 2,000 − 2,000 = 0

Thus,

ManufacturerTotalWooden (W)Mechanical (M)
P1200600600
Q15002501250
R900750150
S18004501350
T200002000

 

Calculations:

Wooden (P) = 600

Wooden (R) = 750

Wooden (S) = 450

Average = (600 + 750 + 450) ÷ 3

= 1800 ÷ 3

= 600

Thus, the average number of Wooden pencils manufactured by P, R, and S is 600.

69

If the price of a Mechanical pencil from Manufacturer Q were increased by 20% and all pencils produced were still sold, what would be the total revenue for Manufacturer Q?

  1. ((a))

    ₹30,000

  2. ((b))

    ₹20,000

  3. ((c))

    ₹10,000

  4. ((d))

    ₹40,000

  5. ((e))

    None of these

Show Answer
Answer: ((a))

₹30,000

General Solution:

Let’s find how many Wooden and Mechanical pencils each manufacturer sold.

Equation (per manufacturer):

Let W = wooden count, M = mechanical count.

W + M = Total

12W + 18M = Revenue

Reduce: divide the revenue equation by 6 → 2W + 3M = Revenue/6.

Substitute W = Total − M → 2(Total − M) + 3M = Revenue/6 → 2 × Total + M = Revenue/6

So

⇒ M = Revenue/6 − 2 × Total

⇒ W = Total − M

Now let's compute for each manufacturer:

P:

Revenue/6 = 18,000 ÷ 6 = 3,000

M = 3,000 − 2×1,200 = 3,000 − 2,400 = 600

W = 1,200 − 600 = 600

Q:

Revenue/6 = 25,500 ÷ 6 = 4,250

M = 4,250 − 2×1,500 = 4,250 − 3,000 = 1,250

W = 1,500 − 1,250 = 250

R:

Revenue/6 = 11,700 ÷ 6 = 1,950

M = 1,950 − 2×900 = 1,950 − 1,800 = 150

W = 900 − 150 = 750

S:

Revenue/6 = 29,700 ÷ 6 = 4,950

M = 4,950 − 2×1,800 = 4,950 − 3,600 = 1,350

W = 1,800 − 1,350 = 450

T:

Revenue/6 = 36,000 ÷ 6 = 6,000

M = 6,000 − 2×2,000 = 6,000 − 4,000 = 2,000

W = 2,000 − 2,000 = 0

Thus,

ManufacturerTotalWooden (W)Mechanical (M)
P1200600600
Q15002501250
R900750150
S18004501350
T200002000

 

Calculations:

Price of Mechanical pencil increased by 20% → New price = 18 × 1.2 = ₹21.6

Pencil TypeNumber ProducedOriginal PriceNew Price
Wooden250₹12₹12
Mechanical1250₹18₹21.6

 

Revenue from Wooden pencils = 250 × 12 = ₹3,000

Revenue from Mechanical pencils = 1250 × 21.6 = ₹27,000

Total New Revenue = 3,000 + 27,000 = ₹30,000

Hence, the correct answer is ₹30,000.

70

What is the difference between the total number of Wooden pencils and the total number of Mechanical pencils manufactured across all five manufacturers?

  1. ((a))

    1400

  2. ((b))

    3300

  3. ((c))

    1200

  4. ((d))

    500

  5. ((e))

    600

Show Answer
Answer: ((b))

3300

General Solution:

Let’s find how many Wooden and Mechanical pencils each manufacturer sold.

Equation (per manufacturer):

Let W = wooden count, M = mechanical count.

W + M = Total

12W + 18M = Revenue

Reduce: divide the revenue equation by 6 → 2W + 3M = Revenue/6.

Substitute W = Total − M → 2(Total − M) + 3M = Revenue/6 → 2 × Total + M = Revenue/6

So

⇒ M = Revenue/6 − 2 × Total

⇒ W = Total − M

Now let's compute for each manufacturer:

P:

Revenue/6 = 18,000 ÷ 6 = 3,000

M = 3,000 − 2×1,200 = 3,000 − 2,400 = 600

W = 1,200 − 600 = 600

Q:

Revenue/6 = 25,500 ÷ 6 = 4,250

M = 4,250 − 2×1,500 = 4,250 − 3,000 = 1,250

W = 1,500 − 1,250 = 250

R:

Revenue/6 = 11,700 ÷ 6 = 1,950

M = 1,950 − 2×900 = 1,950 − 1,800 = 150

W = 900 − 150 = 750

S:

Revenue/6 = 29,700 ÷ 6 = 4,950

M = 4,950 − 2×1,800 = 4,950 − 3,600 = 1,350

W = 1,800 − 1,350 = 450

T:

Revenue/6 = 36,000 ÷ 6 = 6,000

M = 6,000 − 2×2,000 = 6,000 − 4,000 = 2,000

W = 2,000 − 2,000 = 0

Thus,

ManufacturerTotalWooden (W)Mechanical (M)
P1200600600
Q15002501250
R900750150
S18004501350
T200002000

 

Calculations:

Total Wooden Pencils = 600 + 250 + 740 + 450 + 0 = 2050

Total Mechanical Pencils = 600 + 1250 + 150 + 1350 + 2000 = 5350

Difference = 5350 − 2050 = 3300

The difference between the total number of Wooden and Mechanical pencils is 3300.

Hence, the correct answer is 3300.

71

Out of Rs. 8800, Samar lent some of it at a simple interest of 11% per annum and remaining at a simple interest of 7% per annum. If he received Rs. 4824 as the total simple interest at the end of 6 years, then find the sum he lent at 11% per annum.

  1. ((a))

    4700

  2. ((b))

    4800

  3. ((c))

    5000

  4. ((d))

    5200

  5. ((e))

    5800

Show Answer
Answer: ((a))

4700

Shortcut Trick

Total Interest for 1 year = 4824 ÷ 6 = ₹804

Overall Average Rate = (804 ÷ 8800) × 100 = 201/22 %

Using Alligation: (11% − 201/22%) : (201/22% − 7%) = 41/22 : 47/22 = 47 : 41

Sum at 11% = (47 ÷ 88) × 8800 = ₹4700

∴ The correct answer is ₹4700.

Alternate Method

Given: Total Principal = ₹8800, Total Time = 6 years, Total SI = ₹4824

Formula: SI = (P × R × T) ÷ 100

⇒ Let sum at 11% be x and sum at 7% be (8800 − x)

⇒ [(x × 11 × 6) ÷ 100] + [((8800 − x) × 7 × 6) ÷ 100] = 4824

⇒ 66x + 42(8800 − x) = 482400

⇒ 66x + 369600 − 42x = 482400

⇒ 24x = 482400 − 369600

⇒ 24x = 112800

⇒ x = 112800 ÷ 24 = 4700

∴ The correct answer is ₹4700.

Additional Information

Simple Interest Formula

The basic formula is SI = P × R × T / 100, where P is principal, R is rate per annum, and T is time in years.

Alligation in Interest

When a sum is divided into two parts with different rates, the ratio of the parts is found by the difference between individual rates and the average rate.

Effective Rate of Interest

The effective rate for a period is R × T. For 11% over 6 years, the total interest is 66% of the principal part.

72

Ram and Shyam started the company with the investment of Rs. 3000 and Rs.5000 respectively and the investment period of Ram and Shyam is x months and ( x+ 4 ) months respectively. If the total profit of the company is Rs.2500 and Ram's share in the profit is Rs.625, then find the value of x ?

  1. ((a))

    5

  2. ((b))

    8

  3. ((c))

    2

  4. ((d))

    6

  5. ((e))

    10

Show Answer
Answer: ((a))

5

Shortcut Trick

Ratio of Profit Share = Ratio of (Investment × Time).

Ram profit : Shyam profit = 625 : (2500 − 625) = 625 : 1875 = 1 : 3.

Profit Ratio = (3000 × x) : (5000 × (x + 4)) = 3x : 5(x + 4).

1 ÷ 3 = 3x ÷ (5x + 20) ⇒ 5x + 20 = 9x ⇒ 4x = 20 ⇒ x = 5.

∴ The correct answer is 5.

Alternate Method

Given → Investment (Ram = 3000, Shyam = 5000), Time (Ram = x, Shyam = x + 4), Total Profit = 2500. Formulas: Profit Share = (Investment × Time) | Total Profit = Ram Profit + Shyam Profit.

Ram profit share = 625. ⇒ Shyam profit share = 2500 − 625 = 1875. ⇒ (Ram Investment × Ram Time) ÷ (Shyam Investment × Shyam Time) = Ram Profit ÷ Shyam Profit. ⇒ (3000 × x) ÷ (5000 × (x + 4)) = 625 ÷ 1875. ⇒ 3x ÷ 5(x + 4) = 1 ÷ 3. ⇒ 9x = 5x + 20 ⇒ 4x = 20 ⇒ x = 5.

∴ The correct answer is 5.

Additional Information

Partnership Basics

In a partnership, the profit is distributed in the ratio of the product of capital invested and the time period of investment.

Ratio and Proportion

If P1 and P2 are profit shares, C1 and C2 are capitals, and T1 and T2 are time periods, then P1/P2 = (C1 × T1) / (C2 × T2).

73

What approximate value should come in the place of question mark ?

119% of 89 + 161% of 61 - 79% of 131 = ?

  1. ((a))

    100

  2. ((b))

    96

  3. ((c))

    92

  4. ((d))

    110

  5. ((e))

    115

Show Answer
Answer: ((a))

100

Solution :

 Concept used :

 Follow the BODMAS rule to solve this question, as per the question is given below:

 Step 1: Parts of an equation enclosed in ' Brackets ' must be solved first and in the bracket,

 Step 2: Any mathematical ' of ' or 'exponent' must be solved next,

 Step 3: Next, The part of the equation that contains 'Division' and 'multiplication' are calculated,

 Step 4: Last but not least, the parts of the equation that contains 'Addition ' and 'Subtraction' should be calculated

 Given :

⇒ 119% of 89 + 161% of 61 - 79% of 131 = ?

Approximate the number to its nearest value 

⇒ 120% of 90 + 160% of 60 - 80% of 130 = ?

⇒ 120 × 90 / 100 + 160×60 / 100 - 80 × 130 / 100 = ?

⇒ 12× 9 + 16×6 - 8×13 = ?

⇒ 108 + 96 - 104 = ?

⇒ 204 - 104 = ?

⇒ ? = 100

Hence 100 is the correct answer.

74

What approximate value should come in the place of question mark ?

3.99×1295.82 ÷ (35.71)2 + 75.13% of 59.78 = ?

  1. ((a))

    58

  2. ((b))

    36

  3. ((c))

    42

  4. ((d))

    56

  5. ((e))

    49

Show Answer
Answer: ((e))

49

Solution :

 Concept used :

 Follow the BODMAS rule to solve this question, as per the question is given below:

 Step 1: Parts of an equation enclosed in ' Brackets ' must be solved first and in the bracket,

 Step 2: Any mathematical ' of ' or 'exponent' must be solved next,

 Step 3: Next, The part of the equation that contains 'Division' and 'multiplication' are calculated,

 Step 4: Last but not least, the parts of the equation that contains 'Addition ' and 'Subtraction' should be calculated

 Given :

⇒ 3.99 × 1295.82 ÷ (35.71)2 + 75.13% of 59.78 = ?

Approximate the number to its nearest value 

⇒ 4 × 1296 ÷ (36)2 + 75% of 60 = ?

⇒ 4 × 1296 ÷ 1296 + 75 × 60 / 100 = ?

⇒ 4 × 1 + 45 = ?

⇒ ? = 49

Hence 49 is the correct answer.

75

What approximate value should come in place of question mark?

(32.97+43.12) ÷ 2.15 × 40.32 = ?×5.13 + 19.98

  1. ((a))

    395

  2. ((b))

    295

  3. ((c))

    300

  4. ((d))

    215

  5. ((e))

    420

Show Answer
Answer: ((c))

300

Solution :

 Concept used :

 Follow the BODMAS rule to solve this question, as per the question is given below:

 Step 1: Parts of an equation enclosed in ' Brackets ' must be solved first and in the bracket,

 Step 2: Any mathematical ' of ' or 'exponent' must be solved next,

 Step 3: Next, The part of the equation that contains 'Division' and 'multiplication' are calculated,

 Step 4: Last but not least, the parts of the equation that contains 'Addition ' and 'Subtraction' should be calculated

 Given :

⇒ ( 32.97 + 43.12) ÷ 2.15 × 40.32 =  ? × 5.13 + 19.98

Approximate the number to its nearest value 

 ( 33 + 43 ) ÷ 2 × 40 = ? × 5 + 20

⇒ 76 ÷ 2 × 40 = ? × 5 + 20

⇒ 38 × 40 = ? × 5 + 20

⇒  1520 - 20 = ? × 5

⇒ 1500 = ? × 5

⇒ ? = 1500 / 5

⇒ ? = 300

Hence 300 is the correct answer.

76

What approximate value should come in place of the question mark (?) in the following question?

24.96% of 2015.76 - √(575.98) = 119.87 × (?)2

  1. ((a))

    1

  2. ((b))

    3

  3. ((c))

    2

  4. ((d))

    4

  5. ((e))

    5

Show Answer
Answer: ((c))

2

Given:

24.96% of 2015.76 - √(575.98) = 119.87 × (?)2

Concept Used:

Follow the BODMAS rule according to the table given below:

Calculation:

24.96% of 2015.76 - √(575.98) = 119.87 × (?)2

⇒ 25% of 2016 - √(576) = 120 × (?)2

⇒ (25/100) × 2016 - 24 = 120 × (?)2

⇒ (2016/4) - 24 = 120 × (?)2

⇒ 504 - 24 = 120 × (?)2

⇒ 480 = 120 × (?)2

⇒ (?)2 = 480/120

⇒ (?)2 = 4

⇒ ? = 2

∴ 2 will come in place of the question mark ('?').

77

A family consists of four persons A, B, C and D.Sum of the ages of person A and Person C is 85, and sum of the ages of Person B and Person D is 60. The age of C is 15 more than D.The age of B is 5 less than C. Find the age of B after 10 years.

  1. ((a))

    65

  2. ((b))

    45

  3. ((c))

    35

  4. ((d))

    55

  5. ((e))

    25

Show Answer
Answer: ((b))

45

Shortcut Trick

Given: B + D = 60 and C = D + 15, B = C − 5.

Substitute C in B: B = (D + 15) − 5 = D + 10.

Now, (D + 10) + D = 60 ⇒ 2D = 50 ⇒ D = 25.

Then B = 25 + 10 = 35 years.

Age of B after 10 years = 35 + 10 = 45 years.

∴ The correct answer is 45 years.

Alternate Method

Given:

  1. A + C = 85

  2. B + D = 60

  3. C = D + 15

  4. B = C − 5

Calculations:

⇒ From (4), substitute C: B = (D + 15) − 5

⇒ B = D + 10

⇒ Substitute B in (2): (D + 10) + D = 60

⇒ 2D + 10 = 60 ⇒ 2D = 50 ⇒ D = 25

⇒ Present age of B = D + 10 = 25 + 10 = 35 years

⇒ Age of B after 10 years = 35 + 10 = 45 years

∴ The correct answer is 45 years.

Additional Information

Ages involving Multiple Variables

When multiple relations are given, express all variables in terms of a single common variable to simplify calculations.

Future Age Calculation

If the present age is x, the age after n years is always x + n. Always identify if the question asks for present or future age.

78

Perimeter of the semi - circle A is 25 cm whose radius is x cm less than the circle B whose area is 147 cm². If another circle C whose radius is (x + 4) cm.Find the sum of the perimeter of the circle B and C. (Use π = 3)

  1. ((a))

    56 cm

  2. ((b))

    78 cm

  3. ((c))

    72 cm

  4. ((d))

    64 cm

  5. ((e))

    42 cm

Show Answer
Answer: ((b))

78 cm

Shortcut Trick

Using π = 3, Perimeter of Semi-circle A = r(π + 2) = r(3 + 2) = 5r = 25 ⇒ rA = 5 cm.

Area of Circle B = πrB2 = 3 × rB2 = 147 ⇒ rB2 = 49 ⇒ rB = 7 cm.

Difference x = rB − rA = 7 − 5 = 2 cm.

Radius of Circle C = x + 4 = 2 + 4 = 6 cm.

Total Perimeter = 2π(rB + rC) = 2 × 3 × (7 + 6) = 6 × 13 = 78 cm.

∴ The correct answer is 78 cm.

Alternate Method

Given: Perimeter of Semi-circle A = 25 cm, Area of Circle B = 147 cm2, π = 3.

Formula: Perimeter of semi-circle = πr + 2r; Area of circle = πr2; Circumference = 2πr.

⇒ 3rA + 2rA = 25 ⇒ 5rA = 25 ⇒ rA = 5 cm.

⇒ 3 × (rB)2 = 147 ⇒ rB2 = 49 ⇒ rB = 7 cm.

⇒ x = rB − rA = 7 − 5 = 2 cm.

⇒ rC = x + 4 = 2 + 4 = 6 cm.

⇒ Perimeter of B = 2 × 3 × 7 = 42 cm.

⇒ Perimeter of C = 2 × 3 × 6 = 36 cm.

⇒ Total Sum = 42 + 36 = 78 cm.

∴ The correct answer is 78 cm.

Additional Information

Properties of Semi-circle

The perimeter includes the curved arc (πr) and the straight diameter (2r). Total Perimeter = r(π + 2).

Circle Mensuration

For a circle with radius r, the Area = πr2 and the Circumference = 2πr. When π is given as a specific value like 3, always use that instead of 22/7.

79

The average amount spent on meals for x students is Rs. 12. If 2 more students are added and the average amount spent is increased by Rs. 1.If the average amount spent by the both two new of them is Rs. 17. Find the total amount spent by the (x + 2) students.

  1. ((a))

    134

  2. ((b))

    138

  3. ((c))

    146

  4. ((d))

    130

  5. ((e))

    168

Show Answer
Answer: ((d))

130

Shortcut Trick

Change in total amount = New TotalOld Total

Total of 2 new students = 2 × 17 = ₹34

New average = 12 + 1 = ₹13

New total = (x + 2) × 13. Also, New total = 12x + 34.

⇒ 13x + 26 = 12x + 34 ⇒ x = 8. Total amount = 10 × 13 = ₹130.

∴ The correct answer is ₹130.

Alternate Method

Given:

⇒ Initial number of students = x

⇒ Initial average = ₹12

⇒ Average of 2 new students = ₹17

⇒ New average = 12 + 1 = ₹13

Calculations:

⇒ Initial total expenditure = 12 × x = 12x

⇒ Total spent by 2 new students = 2 × 17 = ₹34

⇒ New total expenditure = 12x + 34

⇒ Also, New total = (x + 2) × 13

⇒ 12x + 34 = 13x + 26

⇒ 13x − 12x = 34 − 26

⇒ x = 8

⇒ Total students = 8 + 2 = 10

⇒ Total amount spent = 10 × 13 = ₹130

∴ The correct answer is ₹130.

Additional Information

Average Expenditure Formula

Total Expenditure = Average × Number of Persons.

Net Deviation Method

The sum of deviations of all observations from the average is always zero.

Average of New Joiners

New Average = (Old Sum + New Sum) ÷ (Old Count + New Count).

Directions: Study the following information carefully and answer the questions.

The bar graph below provides the number of pens manufactured and sold by four different companies (A, B, C, and D).

Note:

​The profit per pen for each company is given as follows:

Company A: ₹20 per pen

Company B: ₹25 per pen

Company C: ₹85 per pen

Company D: ₹90 per pen

80

The number of unsold pens from Company A is what percentage of the number of sold pens from Company B?

  1. ((a))

    15%

  2. ((b))

    12.5%

  3. ((c))

    18%

  4. ((d))

    17.5%

  5. ((e))

    20%

Show Answer
Answer: ((b))

12.5%

General Solution:

CompanyPens ManufacturedPens Sold
A25002150
B32002800
C18001650
D40003600

 

Calculations:

Given:

Company A: Manufactured = 2500, Sold = 2150 ⇒ Unsold = 2500 − 2150 = 350

Company B: Sold = 2800

Formula used:

Percentage = (Part ÷ Whole) × 100

Calculation:

⇒ (350 ÷ 2800) × 100

⇒ 350/2800 = 1/8 = 0.125

⇒ 0.125 × 100 = 12.5%

Thus, the unsold pens from Company A are 12.5% of the sold pens of Company B.

81

The total profit earned by Company D is how much more or less than the total profit earned by Company B?

  1. ((a))

    ₹2,56,000 more

  2. ((b))

    ₹2,55,000 less

  3. ((c))

    ₹2,54,000 more

  4. ((d))

    ₹2,53,000 less

  5. ((e))

    None of the above

Show Answer
Answer: ((c))

₹2,54,000 more

General Solution:

CompanyPens ManufacturedPens Sold
A25002150
B32002800
C18001650
D40003600

 

Calculations:

Given Data:

Company B:

Pens Sold = 2800

Profit per pen = ₹25

Total Profit = 2800 × 25 = ₹70,000

Company D:

Pens Sold = 3600

Profit per pen = ₹90

Total Profit = 3600 × 90 = ₹3,24,000

Difference: 3,24,000 − 70,000 = 2,54,000

Thus, the total profit earned by Company D is ₹2,54,000 more than that of Company B.

82

Find the ratio of the number of sold pens from Company A and C together to the number of unsold pens from Company B and D together.

  1. ((a))

    18:5

  2. ((b))

    19:4

  3. ((c))

    16:3

  4. ((d))

    12:7

  5. ((e))

    None of these

Show Answer
Answer: ((b))

19:4

General Solution:

CompanyPens ManufacturedPens Sold
A25002150
B32002800
C18001650
D40003600

 

Calculations:

Company A sold = 2150

Company C sold = 1650

Together = 2150 + 1650 = 3800

Company B manufactured = 3200, sold = 2800 → Unsold = 3200 - 2800 = 400

Company D manufactured = 4000, sold = 3600 → Unsold = 4000 - 3600 = 400

Together = 400 + 400 = 800

Ratio = 3800 / 800 = 19 / 4

Hence, the correct answer is 19:4.

83

If the profit per pen for Company A was increased by 25%, and the number of sold pens remained the same, what would be the total profit for Company A?

  1. ((a))

    ₹58,550

  2. ((b))

    ₹62,250

  3. ((c))

    ₹60,100

  4. ((d))

    ₹54,250

  5. ((e))

    ₹53,750

Show Answer
Answer: ((e))

₹53,750

General Solution:

CompanyPens ManufacturedPens Sold
A25002150
B32002800
C18001650
D40003600

 

Calculations:

Original profit per pen = ₹20

Increase 25% ⇒ new profit per pen = 20 × (1 + 25/100) = 20 × 1.25 = ₹25

Pens sold = 2150

Total profit = 25 × 2150 = ₹53,750

Hence, the correct answer is ₹53,750

84

What is the average number of manufactured pens across all four companies?

  1. ((a))

    2435

  2. ((b))

    2750

  3. ((c))

    2875

  4. ((d))

    2960

  5. ((e))

    3125

Show Answer
Answer: ((c))

2875

General Solution:

CompanyPens ManufacturedPens Sold
A25002150
B32002800
C18001650
D40003600

 

Calculations:

Manufactured pens by each company:

A = 2500, B = 3200, C = 1800, D = 4000

Total Manufactured = 2500 + 3200 + 1800 + 4000 = 11,500

Average = Total ÷ Number of Companies = 11,500 ÷ 4 = 2875

Hence, the correct answer is 2875.

85

If 80% of the unsold pens from Company C were sold in the following year at a 20% less profit per pen, what would be the total profit earned from those additional sales?

  1. ((a))

    ₹7,240

  2. ((b))

    ₹8,160

  3. ((c))

    ₹6,420

  4. ((d))

    ₹9,030

  5. ((e))

    None of these

Show Answer
Answer: ((b))

₹8,160

General Solution:

CompanyPens ManufacturedPens Sold
A25002150
B32002800
C18001650
D40003600

 

Calculations:

Given:

Company C: Manufactured = 1800, Sold = 1650

Unsold pens = 1800 − 1650 = 150

80% of unsold are sold next year

Original profit per pen = ₹85

Next year profit per pen = 20% less than ₹85

Formula used:

Unsold = Manufactured − Sold

Number sold next year = Unsold × 80%

Reduced profit per pen = Original profit × (1 − 20%)

Total profit from additional sales = (Number sold next year) × (Reduced profit per pen)

Calculations:

Unsold = 1800 − 1650 = 150

Number sold next year = 150 × 80% = 150 × 0.8 = 120

Reduced profit per pen = 85 × (1 − 0.20) = 85 × 0.8 = 68

Total profit = 120 × 68 = 8160

Hence, the correct answer is ₹8,160.

86

A solution of milk and water is to be diluted by adding water till the ratio gets reversed. The amount of water added is equal to the initial quantity of the mixture. If in the initial mixture the quantity of milk was 8 litres, find the quantity of water added.

  1. ((a))

    15 litres 

  2. ((b))

    20 litres 

  3. ((c))

    12 litres 

  4. ((d))

    21 litres 

  5. ((e))

    10 litres 

Show Answer
Answer: ((c))

12 litres 

Shortcut Trick

Initial Ratio Milk : Water = x : y. Final Ratio = y : x.

Condition: Water added = Initial total mixture (x + y).

In dilution, Milk remains constant. x = y × (y / (x + (x + y))).

Using ratio logic: (x)/(y) → (y)/(x + added). Since milk is constant, equate parts: x = y × (x+y+y)/(x). Solving gives x = 8, y = 4.

Water added = Total Initial = 8 + 4 = 12 litres.

∴ The correct answer is 12 litres.

Alternate Method

Given: Initial Milk = 8 litres. Let initial Water = W litres.

Formula: Ratio = Milk / Water. Initial Ratio = 8/W. Final Ratio = W/8.

⇒ Total initial mixture = 8 + W

⇒ Water added = 8 + W

⇒ Final Water = Initial Water + Added Water = W + (8 + W) = 2W + 8

⇒ Final Ratio (Milk : Water) = 8 : (2W + 8)

⇒ According to question, Final Ratio = W : 8

⇒ 8 / (2W + 8) = W / 8

⇒ 64 = 2W2 + 8W

⇒ W2 + 4W − 32 = 0

⇒ (W + 8)(W − 4) = 0 ⇒ W = 4 (as quantity cannot be negative)

⇒ Water added = Initial mixture = 8 + 4 = 12 litres.

∴ The correct answer is 12 litres.

Additional Information

Constant Quantity Concept

When only one component (like water) is added to a mixture, the quantity of the other component (like milk) remains unchanged in absolute terms.

Ratio Reversal Rule

If initial ratio is a:b and final is b:a, the multiplier for the non-added substance must be adjusted to keep its units consistent across both ratios.

Replacement vs Addition

Replacement keeps the total volume constant, whereas addition increases the total volume of the mixture by the amount added.

87

A man covered a certain distance in his car. Had he travelled at 8kmph faster than the normal speed, he would have taken 4hrs less but if he drives 8kmph slower than the normal speed he takes 6hrs more. Find the distance covered by him when driving with normal speed?

  1. ((a))

    900km

  2. ((b))

    960km

  3. ((c))

    920km

  4. ((d))

    930km

  5. ((e))

    910km

Show Answer
Answer: ((b))

960km

Shortcut Trick

Using the speed-time relation for constant distance: Snormal = [2 × S1 × S2] ÷ [S2 − S1] where S1 and S2 are speed changes.

However, since time differences differ, we use: [S(S+8)/8] × 4 = [S(S−8)/8] × 6

⇒ 4(S + 8) = 6(S − 8) → 4S + 32 = 6S − 48 → 2S = 80 → S = 40 kmph.

Distance = [40 × (40+8) ÷ 8] × 4 = 5 × 48 × 4 = 960 km.

∴ The correct answer is 960 km.

Alternate Method

Given: Speed increase = 8 kmph, Time decrease = 4 hrs; Speed decrease = 8 kmph, Time increase = 6 hrs.

Formula Used: Distance (D) = [S × (S ± ΔS) ÷ ΔS] × ΔT

⇒ Case 1: D = [S(S + 8) ÷ 8] × 4

⇒ Case 2: D = [S(S − 8) ÷ 8] × 6

⇒ [S(S + 8) ÷ 8] × 4 = [S(S − 8) ÷ 8] × 6

⇒ 4S + 32 = 6S − 48

⇒ 2S = 80 ⇒ S = 40 kmph

⇒ D = [40 × (40 + 8) ÷ 8] × 4

⇒ D = 5 × 48 × 4 = 960 km

∴ The correct answer is 960 km.

Additional Information

Constant Distance Formula

When a person changes speed from S1 to S2 and the time difference is ΔT, Distance = (S1 × S2 × ΔT) ÷ |S1 − S2|.

Average Speed

For two equal distances covered at speeds x and y, Average Speed = (2xy) ÷ (x + y).

Speed-Time Relationship

If distance is constant, speed is inversely proportional to time (S ∝ 1/T). Ratio of speeds S1:S2 = T2:T1.

88

In each of the following number series, the wrong number is given, find out that number.

9, 31, 64, 110, 171, 259

  1. ((a))

    259

  2. ((b))

    64

  3. ((c))

    110

  4. ((d))

    31

  5. ((e))

    None of these

Show Answer
Answer: ((a))

259

Given That,

Series 1:           

⇒ 9 + 22 = 31 

⇒ 31 + 33 = 64

⇒  64 + 46 = 110

⇒ 110 + 61 =171

⇒ 171 + 78 = 249 

22, 33, 46, 61, 78

Series 2:

⇒ 22 + 11 = 33

⇒ 33 + 13 = 46

⇒ 46 + 15 = 61

⇒ 61 + 17 = 78

Series 3:

Difference of 2

∴ 259 is the wrong number in the given pattern.

89

In each of the following number series, the wrong number is given, find out that number.

11, 89, 24, 76, 36, 63, 50

  1. ((a))

    76

  2. ((b))

    63

  3. ((c))

    36

  4. ((d))

    89

  5. ((e))

    50

Show Answer
Answer: ((c))

36

Given that,

Series 1

⇒ 11 + 78 = 89

⇒ 89 - 65 = 24

⇒ 24  + 52 = 76

⇒ 76 - 39 = 37 

⇒ 37 + 26 = 63

⇒ 63 - 13 = 50

Series 2

⇒ 13 × 6 = 78

⇒ 13 × 5 = 65

⇒ 13 × 4 = 52

⇒ 13 × 3 = 39

⇒ 13 × 2 = 26

⇒ 13 × 1 = 13

∴ The wrong number in the series is 36

90

In each of the following number series, the wrong number is given, find out that number.

256, 260, 251, 267, 243, 278

  1. ((a))

    243

  2. ((b))

    278

  3. ((c))

    251

  4. ((d))

    260

  5. ((e))

    267

Show Answer
Answer: ((a))

243

Given that,

256, 260, 251, 267, 243, 278

⇒ 256 + 2= 260

⇒ 260 - 32 = 251

⇒ 251 + 42 = 267

⇒ 267 - 52 = 242

⇒ 242 + 62 = 278

∴ 243 is the wrong number in the given pattern

91

In each of the following number series, the wrong number is given, find out that number.

2, 9, 30, 93, 282, 846

  1. ((a))

    30

  2. ((b))

    9

  3. ((c))

    846

  4. ((d))

    93

  5. ((e))

    282

Show Answer
Answer: ((c))

846

Given that,

2, 9, 30, 93, 282, 846

⇒ 2 × 3 + 3 = 9

⇒ 9 × 3 + 3 = 30

⇒ 30 × 3 + 3 = 93

⇒ 93 × 3 + 3 = 282

⇒ 282 × 3 + 3 = 849

∴ 846 is the wrong number in the given pattern

92

Find the wrong number in the following series :

8, 4, 4, 6, 12, 36

  1. ((a))

    6

  2. ((b))

    12

  3. ((c))

    4

  4. ((d))

    36

  5. ((e))

    None of these

Show Answer
Answer: ((d))

36

8, 4, 4, 6, 12, 36

⇒ 8 × 1/2 = 4

⇒ 4 × 1 = 4

⇒ 4 × 3/2 = 6

⇒ 6 × 2 = 12

⇒ 12 × 5/2 = 30

∴ In the above series 36 is wrong number series

93

A shopkeeper purchased 150 calculator at Rs.220 each, he spends the Rs.7,000 on transportation, He fixed the label price of each calculator as Rs.400 and also decides to give a discount of 5% on printed price. Find his gain percentage.

  1. ((a))

    37.5%

  2. ((b))

    50%

  3. ((c))

    42.5%

  4. ((d))

    42%

  5. ((e))

    None of these

Show Answer
Answer: ((c))

42.5%

Shortcut Trick

Total CP = (150 × 220) + 7000 = 33000 + 7000 = 40,000.

Effective CP per unit = 40000 ÷ 150 = 800/3.

SP per unit = 400 × (100 − 5)% = 400 × 0.95 = 380.

Gain% = [(380 − 800/3) ÷ (800/3)] × 100.

Gain% = [(1140 − 800) ÷ 800] × 100 = 340 ÷ 8 = 42.5%.

∴ The correct answer is 42.5%.

Alternate Method

Given: Purchase Price = 220, Units = 150, Transportation = 7000, MP = 400, Discount = 5%.

Formulas: Total CP = Purchase Cost + Overhead Expenses | SP = MP × (100 − D%) ÷ 100 | Gain% = (Total SP − Total CP) ÷ Total CP × 100.

⇒ Total cost of 150 calculators = 150 × 220 = Rs. 33,000.

Total Cost Price (CP) including transportation = 33,000 + 7,000 = Rs. 40,000.

⇒ Total Marked Price (MP) for 150 calculators = 150 × 400 = Rs. 60,000.

⇒ Discount amount = 5% of 60,000 = (5 ÷ 100) × 60,000 = Rs. 3,000.

Total Selling Price (SP) = 60,000 − 3,000 = Rs. 57,000.

⇒ Profit = 57,000 − 40,000 = Rs. 17,000.

Gain Percentage = (17,000 ÷ 40,000) × 100 = 170 ÷ 4 = 42.5%.

∴ The correct answer is 42.5%.

Additional Information

Effective Cost Price

Always include overhead expenses like transportation, labor, or repairs into the original cost price to find the net CP before calculating profit.

Marked Price and Discount

Discount is always calculated on the Marked Price (MP). SP = MP − Discount.

94

Two classes A and B consist of a number of students in the ratio 3:  4. 33.33% and 25% of them from class A  and class B went for vacation. Then the remaining number of students in class A and B is 200. Find the total number of students who went for the vacation.

  1. ((a))

    90

  2. ((b))

    80

  3. ((c))

    60

  4. ((d))

    75

  5. ((e))

    45

Show Answer
Answer: ((b))

80

Shortcut Trick

Ratio of Class A to Class B = 3 : 4. Let students be 300 and 400.

Vacation from A = 33.33% (1/3) = 100; Remaining = 200.

Vacation from B = 25% (1/4) = 100; Remaining = 300.

Total Remaining = 200 + 300 = 500 units → 200 students. Total Vacation = 100 + 100 = 200 units.

Vacation students = (200 ÷ 500) × 200 = 80.

∴ The correct answer is 80.

Alternate Method

Given: Ratio of students in Class A and Class B is 3 : 4.

Let students in A = 3x and B = 4x.

Remaining students in A:

⇒ 3x × (1 − 33.33%) = 3x × (1 − 1/3) = 3x × 2/3 = 2x

Remaining students in B:

⇒ 4x × (1 − 25%) = 4x × (3/4) = 3x

According to question:

⇒ 2x + 3x = 200

⇒ 5x = 200 ⇒ x = 40

Total vacation students:

⇒ (3x × 1/3) + (4x × 1/4) = x + x = 2x

⇒ 2 × 40 = 80

∴ The correct answer is 80.

Additional Information

Percentage to Fraction Conversion

Standard conversions: 33.33% = 1/3, 25% = 1/4, 20% = 1/5, 12.5% = 1/8. These simplify complex ratio calculations.

Base Change Property

If the remaining portion is given, always calculate the Multiplying Factor (1 − fraction spent) to find the absolute value directly.

Weighted Average in Ratios

The total percentage of change = (n1p1 + n2p2) ÷ (n1 + n2), where n is the ratio part and p is the percentage.

95

Two varieties of milk with different prices is mixed in the ratio 2 : 3. The price of 1st type of milk is Rs 10 per litre while the price of 2nd type of milk is Rs. 15 per litre. The average price of the mixture.

  1. ((a))

    Rs. 11 per litre

  2. ((b))

    Rs. 12 per litre

  3. ((c))

    Rs. 13 per litre

  4. ((d))

    Rs. 14 per litre

  5. ((e))

    Rs. 15 per litre

Show Answer
Answer: ((c))

Rs. 13 per litre

Shortcut Trick

Weighted Average = (Price1 × Ratio1 + Price2 × Ratio2) ÷ Total Ratio

Average Price = (10 × 2 + 15 × 3) ÷ (2 + 3)

Average Price = (20 + 45) ÷ 5 = 65 ÷ 5 = 13

∴ The correct answer is Rs. 13 per litre.

Alternate Method

Given:

Price of 1st variety (P1) = Rs. 10/litre

Price of 2nd variety (P2) = Rs. 15/litre

Ratio of mixing (n1 : n2) = 2 : 3

Formula Used:

Average Price = (Total Cost) ÷ (Total Quantity)

Calculations:

⇒ Let quantities be 2L and 3L respectively.

⇒ Cost of 1st type = 10 × 2 = Rs. 20

⇒ Cost of 2nd type = 15 × 3 = Rs. 45

⇒ Total Cost = 20 + 45 = Rs. 65

⇒ Total Quantity = 2 + 3 = 5 litres

⇒ Average Price = 65 ÷ 5 = Rs. 13 per litre

∴ The correct answer is Rs. 13 per litre.

Additional Information

Alligation Rule

It states that (Quantity of Cheaper) / (Quantity of Dearer) = (CP of Dearer − Mean Price) / (Mean Price − CP of Cheaper).

Weighted Average Formula

Average = (n1x1 + n2x2) ÷ (n1 + n2), where n represents the weights/ratios and x represents the values/prices.

96

Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.

Quantity A - Probability of getting a prime sum when two dices are thrown simultaneously.

Quantity B - Ratio of weight of apples to mangoes. Mangoes are sold at Rs. 11 per kg at 10% profit while apples at Rs. 18 per kg at 20% profit. 50 kg of both are bought by shopkeeper at Rs. 570.

  1. ((a))

    Quantity A ≥ Quantity B

  2. ((b))

    Quantity A ≤ Quantity B

  3. ((c))

    Quantity A = Quantity B or no relationship can be established

  4. ((d))

    Quantity A > Quantity B

  5. ((e))

    Quantity A < Quantity B

Show Answer
Answer: ((d))

Quantity A > Quantity B

Shortcut Trick Quantity A: Prime sums (2, 3, 5, 7, 11) occur (1, 2, 4, 6, 2) times = 15. P = 15/36 = 0.416. Quantity B: CP of Mangoes = 11/1.1 = ₹10/kg; CP of Apples = 18/1.2 = ₹15/kg. Avg CP = 570/50 = ₹11.4/kg. By Alligation: Ratio (Apples : Mangoes) = (11.4 − 10) : (15 − 11.4) = 1.4 : 3.6 = 7 : 18. Quantity B = 7/18 ≈ 0.388. Comparing A (0.416) and B (0.388), A > B. ∴ The correct answer is Quantity A > Quantity B. Alternate Method Quantity A: Probability of prime sum ⇒ Total outcomes for two dice = 6 × 6 = 36. ⇒ Prime sums: 2, 3, 5, 7, 11. ⇒ Outcomes for Sum 2: (1,1) → 1 way. ⇒ Outcomes for Sum 3: (1,2), (2,1) → 2 ways. ⇒ Outcomes for Sum 5: (1,4), (2,3), (3,2), (4,1) → 4 ways. ⇒ Outcomes for Sum 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) → 6 ways. ⇒ Outcomes for Sum 11: (5,6), (6,5) → 2 ways. ⇒ Total prime outcomes = 1 + 2 + 4 + 6 + 2 = 15. ⇒ Quantity A = 15/36 = 5/12 ≈ 0.4167.

Quantity B: Ratio of weights ⇒ CP of Mangoes = SP / (1 + P%) = 11 / 1.1 = ₹10/kg. ⇒ CP of Apples = SP / (1 + P%) = 18 / 1.2 = ₹15/kg. ⇒ Overall Average CP = Total Cost / Total Quantity = 570 / 50 = ₹11.4/kg. ⇒ Using Alligation: Ratio (Apples : Mangoes) = (11.4 − 10) : (15 − 11.4) = 1.4 : 3.6. ⇒ Quantity B = 1.4 / 3.6 = 14/36 = 7/18 ≈ 0.3889. ⇒ Comparing Quantity A (0.4167) and Quantity B (0.3889), we find A > B. ∴ The correct answer is Quantity A > Quantity B. Additional Information Dice Sum Probabilities For two dice, the number of ways to get a sum S is (S−1) for 2 ≤ S ≤ 7 and (13−S) for 8 ≤ S ≤ 12. Alligation Rule Quantity1 : Quantity2 = (Mean Price − CP2) : (CP1 − Mean Price). Profit and Loss Cost Price (CP) = Selling Price (SP) × 100 / (100 + Profit%).

97

Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.

Quantity A - Total number of matches in IPL if 8 teams play each other in a round robin format and top two teams play the final.

Quantity B - Weight of Ram if Average weight of 15 students is 40 kg. When Ram leaves and Shyam with weight 58 kg joins, average weight of the group increases by 2 kg.

  1. ((a))

    Quantity A ≥ Quantity B

  2. ((b))

    Quantity A ≤ Quantity B

  3. ((c))

    Quantity A = Quantity B or no relationship can be established

  4. ((d))

    Quantity A > Quantity B

  5. ((e))

    Quantity A < Quantity B

Show Answer
Answer: ((d))

Quantity A > Quantity B

Shortcut Trick Quantity A: Round robin matches = n(n−1)⁄2 = (8 × 7) ÷ 2 = 28. Total = 28 + 1 (final) = 29. Quantity B: Net change in average = 2 kg for 15 students ⇒ Total increase = 30 kg. Difference = Shyam − Ram ⇒ 30 = 58 − Ram ⇒ Ram = 58 − 30 = 28 kg. Comparing A (29) and B (28), we get A > B. ∴ The correct answer is Quantity A > Quantity B. Alternate Method

Quantity A: ⇒ Matches in round robin = 8 × (8 − 1)⁄2 = 28 matches ⇒ Total matches = 28 (League) + 1 (Final) = 29 matches Quantity B: ⇒ New average = 40 + 2 = 42 kg ⇒ Sum of weights (initial) = 15 × 40 = 600 kg ⇒ Sum of weights (new) = 15 × 42 = 630 kg ⇒ Ram + 30 = Shyam ⇒ Ram = 58 − 30 = 28 kg ∴ The correct answer is Quantity A > Quantity B. Additional Information Round Robin Tournament In a single round robin with n teams, each team plays every other team once. Total matches = n(n − 1)⁄2. Average Replacement Formula Weight of New Person = Weight of Removed Person + (Number of members × Increase in Average). Quantity Comparison Always calculate the absolute numerical values for both quantities before comparing magnitudes (>, <, =).

98

Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.

Quantity A - What will be the Selling price of 8 bananas to get a profit of 15% if after selling 4 bananas  for Rs. 18, there is a loss of 25%?

Quantity B - what will be the remaining area of square if two semicircles of 5 cm radii are cut? Edge of square is 12 cm.

  1. ((a))

    Quantity A ≥ Quantity B

  2. ((b))

    Quantity A ≤ Quantity B

  3. ((c))

    Quantity A = Quantity B or no relationship can be established

  4. ((d))

    Quantity A > Quantity B

  5. ((e))

    Quantity A < Quantity B

Show Answer
Answer: ((e))

Quantity A < Quantity B

Shortcut Trick Quantity A: SP of 4 bananas at 75% = ₹18 ⇒ SP of 8 bananas at 75% = ₹36. New SP for 15% profit = 36 × (115 ÷ 75) = 36 × (23 ÷ 15) = 12 × (23 ÷ 5) = ₹55.2. Quantity B: Area = 122 − π × 52 = 144 − 25 × 3.14 = 144 − 78.5 = 65.5 cm2. Comparing A (55.2) and B (65.5), we find A < B. ∴ The correct answer is Quantity A < Quantity B. Alternate Method

Quantity A: ⇒ SP of 4 bananas = ₹18 (at 25% loss) ⇒ CP of 4 bananas = 18 ÷ 0.75 = ₹24 ⇒ CP of 8 bananas = 24 × 2 = ₹48 ⇒ Required SP (15% profit) = 48 × 1.15 = ₹55.2 Quantity B: ⇒ Area of Square = Side2 = 122 = 144 cm2 ⇒ Area of 2 Semicircles = Area of 1 Circle = πr2 ⇒ Area of Circle = 3.14 × 52 = 3.14 × 25 = 78.5 cm2 ⇒ Remaining Area = 144 − 78.5 = 65.5 cm2 ⇒ 55.2 < 65.5 ∴ Quantity A < Quantity B ∴ The correct answer is Quantity A < Quantity B. Additional Information Profit and Loss Relation SP = CP × (100 + Profit%) / 100 and CP = SP × 100 / (100 − Loss%). Mensuration of Circles Area of a circle is πr2. Two semicircles of the same radius always form one complete circle. Comparison of Quantities In data sufficiency or quantity comparison, always calculate the numerical values to the same precision before concluding the relationship.

99

Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.

Ramesh has Rs. 12000. He has two options to invest. Scheme 1 at simple interest for three years, rate of interest for which will be 10, 12 and 13 percent respectively for three years and Scheme 2 which has 11 percent interest compounded annually for three years.

Quantity A - Amount from scheme 1

Quantity B - Amount from scheme 2

  1. ((a))

    Quantity A ≥ Quantity B

  2. ((b))

    Quantity A ≤ Quantity B

  3. ((c))

    Quantity A = Quantity B or no relationship can be established

  4. ((d))

    Quantity A > Quantity B

  5. ((e))

    Quantity A < Quantity B

Show Answer
Answer: ((e))

Quantity A < Quantity B

Shortcut Trick For Quantity A: Total SI % = 10% + 12% + 13% = 35%. For Quantity B: Effective CI % for 11% for 3 years is approximately (1.11)3 − 1 ≈ 36.76%. Since Principal is same (₹12000), compare interest percentages: 35% < 36.76%. Therefore, Amount A < Amount B. ∴ The correct answer is Quantity A < Quantity B. Alternate Method

Quantity A (Scheme 1 - SI): ⇒ Total Simple Interest % = r1 + r2 + r3 = 10% + 12% + 13% = 35% ⇒ Amount A = Principal × (1 + 35/100) = 12000 × 1.35 = ₹16200 Quantity B (Scheme 2 - CI): ⇒ Amount B = Principal × (1 + r/100)n ⇒ Amount B = 12000 × (1 + 11/100)3 = 12000 × (1.11)3 ⇒ Amount B = 12000 × 1.367631 = ₹16411.572 Comparison: ⇒ 16200 < 16411.572 ∴ The correct answer is Quantity A < Quantity B. Additional Information Simple Interest with Variable Rates When rates change annually, Total SI = P × (r1 + r2 + ... + rn)/100. The effective rate is the simple sum of individual rates. Compound Interest Formula Amount = P(1 + r/100)n. For 3 years, the effective rate is slightly more than 3 × r due to the interest-on-interest effect. Comparison Logic If the average rate of SI is less than or equal to the CI rate, then Amount from CI will always be greater than Amount from SI for n > 1.

100

Directions: In the following question, two statements are numbered as Quantity I and Quantity II. On solving these statements, we get quantities I and II respectively. Solve both quantities and choose the correct option.

What is the age of Ankita?

Quantity I: Ankita is 3 years younger than Ankit and the ratio of their ages is 7 : 8.

Quantity II: Average age of Pankti and Ankita is 25 years and Pankti is 2 years older than Ankita.

  1. ((a))

    Quantity I > Quantity II

  2. ((b))

    Quantity I < Quantity II

  3. ((c))

    Quantity I = Quantity II

  4. ((d))

    Quantity I ≥ Quantity II

  5. ((e))

    Quantity I ≤ Quantity II

Show Answer
Answer: ((b))

Quantity I < Quantity II

Shortcut Trick

Quantity I: Ratio 7 : 8, difference is 1 unit. Given 1 unit = 3 years ⇒ Ankita (7 units) = 7 × 3 = 21 years.

Quantity II: Sum of ages = 25 × 2 = 50. Younger person (Ankita) = (Sum − Diff) ÷ 2 = (50 − 2) ÷ 2 = 24 years.

Comparing both: 21 years < 24 years.

∴ The correct answer is Quantity I < Quantity II.

Alternate Method

Quantity I: Age of Ankita

Given: Ratio of Ankita : Ankit = 7 : 8. Age difference = 3 years.

⇒ Let ages be 7x and 8x.

⇒ 8x − 7x = 3

⇒ x = 3

Ankita = 7 × 3 = 21 years.

Quantity II: Age of Ankita

Given: Average of Pankti and Ankita = 25 years. PanktiAnkita = 2 years.

⇒ Total age = 25 × 2 = 50 years.

⇒ P + A = 50 and P − A = 2

⇒ 2A = 48

Ankita = 24 years.

Comparing Quantity I (21) and Quantity II (24): 21 < 24.

∴ The correct answer is Quantity I < Quantity II.

Additional Information

Ratio and Proportion in Ages

If the ratio of ages is a:b and the difference is D, then 1 unit = D ÷ |a − b|.

Average and Difference Rule

If sum (S) and difference (D) of two quantities are known, the smaller value = (S − D) ÷ 2 and larger value = (S + D) ÷ 2.

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