Previous Year Paper

IBPS PO Prelims Memory Based Paper (Held On: 20 October 2024 Shift 3) (Previous Year Paper)

Held in 2024

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Reasoning Ability (35 questions)

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

Seven persons E, H, L, M, T, W and X sit on a horizontal row such that some of them face towards North direction while rest of the person face towards South direction. X sits third to the left of H. M sits second to the left T. Two persons sit between E and W who faces in North direction. X and T sits immediate left to each other. L sits third to the left of M. T and L do not sit adjacent to each other. More than two persons sit between M and W and faces in opposite direction to each other. The immediate neighbours of H face in same direction but opposite to him. L and T face in same direction.

Question 1

Which of the following pair represents persons sitting at extreme end?

  1. AOption (a)

    T, L

  2. BOption (b)

    X, H

  3. COption (c)

    M, W

  4. DOption (d)

    T, W

  5. EOption (e)

    T, E

View answer & explanation

Correct answer

Answer: (d)D.

T, W

Why this answer is correct

Here, persons are E, H, L, M, T, W and X.

  1. L sits third to the left of M.

  2. M sits second to the left T.

  3. T and L do not sit adjacent to each other.

  4. X sits third to the left of H.

  5. X and T sit immediate left to each other.

  6. Two persons sit between E and W who faces in North direction. Therefore, case 1 and case 4 are eliminated.

  7. More than two persons sit between M and W and faces in opposite direction to each other. Therefore, case 2 is eliminated.

  8. The immediate neighbours of H face in same direction but opposite to him.

  9. L and T face in same direction.

Hence, T and W sits at extreme ends.

Question 2

Who among the following person sits second to the left of H?

  1. AOption (a)

    X

  2. BOption (b)

    W

  3. COption (c)

    M

  4. DOption (d)

    E

  5. EOption (e)

    L

View answer & explanation

Correct answer

Answer: (c)C.

M

Why this answer is correct

Here, persons are E, H, L, M, T, W and X.

  1. L sits third to the left of M.

  2. M sits second to the left T.

  3. T and L do not sit adjacent to each other.

  4. X sits third to the left of H.

  5. X and T sit immediate left to each other.

  6. Two persons sit between E and W who faces in North direction. Therefore, case 1 and case 4 are eliminated.

  7. More than two persons sit between M and W and faces in opposite direction to each other. Therefore, case 2 is eliminated.

  8. The immediate neighbours of H face in same direction but opposite to him.

  9. L and T face in same direction.

Hence, M sits second to the left of H.

Question 3

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

  1. AOption (a)

    X and M sits immediate left to each other.

  2. BOption (b)

    Only one person sits between T and E.

  3. COption (c)

    Both M and T faces in same direction.

  4. DOption (d)

    L sits second to the right of E.

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (c)C.

Both M and T faces in same direction.

Why this answer is correct

Here, persons are E, H, L, M, T, W and X.

  1. L sits third to the left of M.

  2. M sits second to the left T.

  3. T and L do not sit adjacent to each other.

  4. X sits third to the left of H.

  5. X and T sit immediate left to each other.

  6. Two persons sit between E and W who faces in North direction. Therefore, case 1 and case 4 are eliminated.

  7. More than two persons sit between M and W and faces in opposite direction to each other. Therefore, case 2 is eliminated.

  8. The immediate neighbours of H face in same direction but opposite to him.

  9. L and T face in same direction.

Hence, the correct statement is Both M and T sits faces in same direction.

Question 4

In certain way four of the five are alike then who among the following is not related in the same way?

  1. AOption (a)

    T

  2. BOption (b)

    M

  3. COption (c)

    H

  4. DOption (d)

    L

  5. EOption (e)

    E

View answer & explanation

Correct answer

Answer: (c)C.

H

Why this answer is correct

Here, persons are E, H, L, M, T, W and X.

  1. L sits third to the left of M.

  2. M sits second to the left T.

  3. T and L do not sit adjacent to each other.

  4. X sits third to the left of H.

  5. X and T sit immediate left to each other.

  6. Two persons sit between E and W who faces in North direction. Therefore, case 1 and case 4 are eliminated.

  7. More than two persons sit between M and W and faces in opposite direction to each other. Therefore, case 2 is eliminated.

  8. The immediate neighbours of H face in same direction but opposite to him.

  9. L and T face in same direction.

Since, each person except H faces in same direction.

Hence, the correct answer is H.

Question 5

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

A) E faces in North direction.

B) The immediate E faces in opposite direction.

C) X is the second to the left of E.

  1. AOption (a)

    Only A

  2. BOption (b)

    Only C

  3. COption (c)

    Only B

  4. DOption (d)

    Both A and C

  5. EOption (e)

    Both B and C

View answer & explanation

Correct answer

Answer: (c)C.

Only B

Why this answer is correct

Here, persons are E, H, L, M, T, W and X.

  1. L sits third to the left of M.

  2. M sits second to the left T.

  3. T and L do not sit adjacent to each other.

  4. X sits third to the left of H.

  5. X and T sit immediate left to each other.

  6. Two persons sit between E and W who faces in North direction. Therefore, case 1 and case 4 are eliminated.

  7. More than two persons sit between M and W and faces in opposite direction to each other. Therefore, case 2 is eliminated.

  8. The immediate neighbours of H face in same direction but opposite to him.

  9. L and T face in same direction.

Since, E faces in South direction. Therefore, statement A is incorrect.

The immediate E faces in opposite direction. Therefore, statement B is correct.

X is the second to the right of E. Therefore, statement C is incorrect.

Hence, the correct answer is only B correct.

Question 6

In a certain way four of the five are alike find the one that does not follow the same pattern.

  1. AOption (a)

    BHJ

  2. BOption (b)

    CMP

  3. COption (c)

    EOT

  4. DOption (d)

    HJR

  5. EOption (e)

    KNV

View answer & explanation

Correct answer

Answer: (e)E.

KNV

Why this answer is correct

Hence, the odd one is KNV.

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

Seven persons D, H, L, N, P, T and V join an Insurance firm and are posted in three different cities which are Assam, Bihar and Goa and likes seven different colours which are Black, Cream, Grey, Orange, Pink, Red and White but not necessarily in same order. Not more than three persons placed in any particular city. V likes neither Pink nor White colour. H and the one who likes White colour posted in same city. T likes Grey colour. L likes either Cream or Red colour. P and the one who likes Black colour posted in different cities. V and D posted in same city. Only one other person posted in same city with the one who likes Pink colour. N lives in Bihar. H and P posted in different cities but not in Assam. L and the one who likes Grey colour posted in same city. The person who likes Red colour and the one who likes Pink colour posted in different cities. D likes Orange colour. P likes neither Pink nor Cream colour.

Question 7

Who among the following likes Pink colour?

  1. AOption (a)

    L

  2. BOption (b)

    V

  3. COption (c)

    H

  4. DOption (d)

    N

  5. EOption (e)

    D

View answer & explanation

Correct answer

Answer: (c)C.

H

Why this answer is correct

Here, persons are D, H, L, N, P, T and V; colours are Black, Cream, Grey, Orange, Pink, Red and White and cities are Assam, Bihar and Goa.

  1. H and P posted in different cities but not in Assam.

  2. H and the one who likes White colour posted in same city.

  3. N lives in Bihar.

CitiesCase – 1Case – 2
PersonsPersons
Assam
BiharH, (White), NP, N
GoaPH, (White)

 

  1. V and D posted in same city.

  2. D likes Orange colour.

  3. V likes neither Pink nor White colour.

CitiesCase – 1(a)Case – 1(b)Case – 2
PersonsPersonsPersons
AssamV, D(Orange)V, D(Orange)
BiharH, (White), NH, (White), NP, N
GoaPP, V, D(Orange)H, (White)

 

  1. P and the one who likes Black colour posted in different cities.

  2. L and the one who likes Grey colour posted in same city.

  3. T likes Grey colour.

  4. Only one other person posted in same city with the one who likes Pink colour. (Therefore, in case 1(a) and case 1(b) there is a possibility that N likes White colour otherwise number of person becomes more than 7).

CitiesCase – 1(a)Case – 1(b)Case – 2
PersonsPersonsPersons
AssamV (Black), D (Orange)L, T (Grey)V, D (Orange)
BiharH (Pink), N (White)H, N (White)P, N
GoaP, L, T (Grey)P, V, D (Orange)H, L (White), T (Grey)

 

  1. The person who likes Red colour and the one who likes Pink colour posted in different cities.

  2. P likes neither Pink nor Cream colour. Therefore, case 2 is eliminated.

  3. L likes either Cream or Red colour. Therefore, case 1(b) is eliminated. Hence, the final arrangement is as follows

CitiesPersons
AssamV (Black), D (Orange)
BiharH (Pink), N (White)
GoaP (Red), L (Cream), T (Grey)

 

Hence, H likes Pink colour.

Question 8

Who among the following person posted in same city with P?

  1. AOption (a)

    N

  2. BOption (b)

    V

  3. COption (c)

    L

  4. DOption (d)

    T

  5. EOption (e)

    More than one option

View answer & explanation

Correct answer

Answer: (e)E.

More than one option

Why this answer is correct

Here, persons are D, H, L, N, P, T and V; colours are Black, Cream, Grey, Orange, Pink, Red and White and cities are Assam, Bihar and Goa.

  1. H and P posted in different cities but not in Assam.

  2. H and the one who likes White colour posted in same city.

  3. N lives in Bihar.

CitiesCase – 1Case – 2
PersonsPersons
Assam
BiharH, (White), NP, N
GoaPH, (White)

 

  1. V and D posted in same city.

  2. D likes Orange colour.

  3. V likes neither Pink nor White colour.

CitiesCase – 1(a)Case – 1(b)Case – 2
PersonsPersonsPersons
AssamV, D(Orange)V, D(Orange)
BiharH, (White), NH, (White), NP, N
GoaPP, V, D(Orange)H, (White)

 

  1. P and the one who likes Black colour posted in different cities.

  2. L and the one who likes Grey colour posted in same city.

  3. T likes Grey colour.

  4. Only one other person posted in same city with the one who likes Pink colour. (Therefore, in case 1(a) and case 1(b) there is a possibility that N likes White colour otherwise number of person becomes more than 7).

CitiesCase – 1(a)Case – 1(b)Case – 2
PersonsPersonsPersons
AssamV (Black), D (Orange)L, T (Grey)V, D (Orange)
BiharH (Pink), N (White)H, N (White)P, N
GoaP, L, T (Grey)P, V, D (Orange)H, L (White), T (Grey)

 

  1. The person who likes Red colour and the one who likes Pink colour posted in different cities.

  2. P likes neither Pink nor Cream colour. Therefore, case 2 is eliminated.

  3. L likes either Cream or Red colour. Therefore, case 1(b) is eliminated. Hence, the final arrangement is as follows

CitiesPersons
AssamV (Black), D (Orange)
BiharH (Pink), N (White)
GoaP (Red), L (Cream), T (Grey)

 

Since, both T and L posted in same city with P.

Hence, the correct answer is more than one option.

Question 9

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

  1. AOption (a)

    V likes Black colour.

  2. BOption (b)

    H was posted in Goa.

  3. COption (c)

    P likes Red colour.

  4. DOption (d)

    D and V posted in Assam.

  5. EOption (e)

    N likes White colour.

View answer & explanation

Correct answer

Answer: (b)B.

H was posted in Goa.

Why this answer is correct

Here, persons are D, H, L, N, P, T and V; colours are Black, Cream, Grey, Orange, Pink, Red and White and cities are Assam, Bihar and Goa.

  1. H and P posted in different cities but not in Assam.

  2. H and the one who likes White colour posted in same city.

  3. N lives in Bihar.

CitiesCase – 1Case – 2
PersonsPersons
Assam
BiharH, (White), NP, N
GoaPH, (White)

 

  1. V and D posted in same city.

  2. D likes Orange colour.

  3. V likes neither Pink nor White colour.

CitiesCase – 1(a)Case – 1(b)Case – 2
PersonsPersonsPersons
AssamV, D(Orange)V, D(Orange)
BiharH, (White), NH, (White), NP, N
GoaPP, V, D(Orange)H, (White)

 

  1. P and the one who likes Black colour posted in different cities.

  2. L and the one who likes Grey colour posted in same city.

  3. T likes Grey colour.

  4. Only one other person posted in same city with the one who likes Pink colour. (Therefore, in case 1(a) and case 1(b) there is a possibility that N likes White colour otherwise number of person becomes more than 7).

CitiesCase – 1(a)Case – 1(b)Case – 2
PersonsPersonsPersons
AssamV (Black), D (Orange)L, T (Grey)V, D (Orange)
BiharH (Pink), N (White)H, N (White)P, N
GoaP, L, T (Grey)P, V, D (Orange)H, L (White), T (Grey)

 

  1. The person who likes Red colour and the one who likes Pink colour posted in different cities.

  2. P likes neither Pink nor Cream colour. Therefore, case 2 is eliminated.

  3. L likes either Cream or Red colour. Therefore, case 1(b) is eliminated. Hence, the final arrangement is as follows

CitiesPersons
AssamV (Black), D (Orange)
BiharH (Pink), N (White)
GoaP (Red), L (Cream), T (Grey)

 

Since, H was posted in Bihar therefore, statement second is incorrect rest of the statements are correct.

Hence, the incorrect statement is H was posted in Goa.

Question 10

In a certain way D is related with the person who likes Black colour and T is related with the person who likes Cream colour then who among the following is related with N?

  1. AOption (a)

    The person who likes Black colour.

  2. BOption (b)

    The person who likes Grey colour.

  3. COption (c)

    The person who likes Red colour.

  4. DOption (d)

    The person who likes Pink colour.

  5. EOption (e)

    The person who likes Orange colour.

View answer & explanation

Correct answer

Answer: (d)D.

The person who likes Pink colour.

Why this answer is correct

Here, persons are D, H, L, N, P, T and V; colours are Black, Cream, Grey, Orange, Pink, Red and White and cities are Assam, Bihar and Goa.

  1. H and P posted in different cities but not in Assam.

  2. H and the one who likes White colour posted in same city.

  3. N lives in Bihar.

CitiesCase – 1Case – 2
PersonsPersons
Assam
BiharH, (White), NP, N
GoaPH, (White)

 

  1. V and D posted in same city.

  2. D likes Orange colour.

  3. V likes neither Pink nor White colour.

CitiesCase – 1(a)Case – 1(b)Case – 2
PersonsPersonsPersons
AssamV, D(Orange)V, D(Orange)
BiharH, (White), NH, (White), NP, N
GoaPP, V, D(Orange)H, (White)

 

  1. P and the one who likes Black colour posted in different cities.

  2. L and the one who likes Grey colour posted in same city.

  3. T likes Grey colour.

  4. Only one other person posted in same city with the one who likes Pink colour. (Therefore, in case 1(a) and case 1(b) there is a possibility that N likes White colour otherwise number of person becomes more than 7).

CitiesCase – 1(a)Case – 1(b)Case – 2
PersonsPersonsPersons
AssamV (Black), D (Orange)L, T (Grey)V, D (Orange)
BiharH (Pink), N (White)H, N (White)P, N
GoaP, L, T (Grey)P, V, D (Orange)H, L (White), T (Grey)

 

  1. The person who likes Red colour and the one who likes Pink colour posted in different cities.

  2. P likes neither Pink nor Cream colour. Therefore, case 2 is eliminated.

  3. L likes either Cream or Red colour. Therefore, case 1(b) is eliminated. Hence, the final arrangement is as follows

CitiesPersons
AssamV (Black), D (Orange)
BiharH (Pink), N (White)
GoaP (Red), L (Cream), T (Grey)

 

Since, D and the person who likes Black colour posted in same city and L and the person who likes Cream posted in same city. Therefore, N and the person who likes Pink colour posted in same city.

Hence, the correct answer is The person who likes Pink colour.

Question 11

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

A) V likes White colour.

B) P likes Red colour.

C) T was posted in Goa.

  1. AOption (a)

    Both A and B

  2. BOption (b)

    Both B and C

  3. COption (c)

    Both A and C

  4. DOption (d)

    All of these

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (b)B.

Both B and C

Why this answer is correct

Here, persons are D, H, L, N, P, T and V; colours are Black, Cream, Grey, Orange, Pink, Red and White and cities are Assam, Bihar and Goa.

  1. H and P posted in different cities but not in Assam.

  2. H and the one who likes White colour posted in same city.

  3. N lives in Bihar.

CitiesCase – 1Case – 2
PersonsPersons
Assam
BiharH, (White), NP, N
GoaPH, (White)

 

  1. V and D posted in same city.

  2. D likes Orange colour.

  3. V likes neither Pink nor White colour.

CitiesCase – 1(a)Case – 1(b)Case – 2
PersonsPersonsPersons
AssamV, D(Orange)V, D(Orange)
BiharH, (White), NH, (White), NP, N
GoaPP, V, D(Orange)H, (White)

 

  1. P and the one who likes Black colour posted in different cities.

  2. L and the one who likes Grey colour posted in same city.

  3. T likes Grey colour.

  4. Only one other person posted in same city with the one who likes Pink colour. (Therefore, in case 1(a) and case 1(b) there is a possibility that N likes White colour otherwise number of person becomes more than 7).

CitiesCase – 1(a)Case – 1(b)Case – 2
PersonsPersonsPersons
AssamV (Black), D (Orange)L, T (Grey)V, D (Orange)
BiharH (Pink), N (White)H, N (White)P, N
GoaP, L, T (Grey)P, V, D (Orange)H, L (White), T (Grey)

 

  1. The person who likes Red colour and the one who likes Pink colour posted in different cities.

  2. P likes neither Pink nor Cream colour. Therefore, case 2 is eliminated.

  3. L likes either Cream or Red colour. Therefore, case 1(b) is eliminated. Hence, the final arrangement is as follows

CitiesPersons
AssamV (Black), D (Orange)
BiharH (Pink), N (White)
GoaP (Red), L (Cream), T (Grey)

 

Since, V likes Black colour. Therefore, statement A is incorrect.

P likes Red colour. Therefore, statement B is correct.

T was posted in Goa. Therefore, statement C is correct.

Hence, the correct answer is both B and C.

Question 12

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 from commonly known facts. Read both the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

Some Teachers are Professors.

Only Teachers are Students.

All Professors are Scientists.

Conclusions:

I. Some Teachers are Scientists.

II. Some Professors are Students.

  1. AOption (a)

    Only conclusion I follows

  2. BOption (b)

    Both conclusions I and II follows

  3. COption (c)

    Only conclusion II follows

  4. DOption (d)

    Either conclusion I or II follows

  5. EOption (e)

    Neither conclusion I nor II follows

View answer & explanation

Correct answer

Answer: (a)A.

Only conclusion I follows

Why this answer is correct

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

Conclusions:

I. Some Teachers are Scientists. → True (As from the given diagram it is clear some Teachers are Scientists. Hence, follows.)

II. Some Professors are Students. → False (As from the statement it is clear only Teachers are Students so no one else can be Students. Hence, does not follow.)

Hence, the correct answer is only conclusion I follows.

Question 13

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 from commonly known facts. Read both the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

Each Square is Rectangle.

All Parallelogram are Quadrilaterals.

All Rhombus are Rectangle.

Conclusions:

I. Some Rhombus are Quadrilateral.

II. Some Square can be Parallelogram.

  1. AOption (a)

    Either conclusion I or II follows

  2. BOption (b)

    Both conclusions I and II follow

  3. COption (c)

    Only conclusion I follows

  4. DOption (d)

    Neither conclusion I nor II follows

  5. EOption (e)

    Only conclusion II follows

View answer & explanation

Correct answer

Answer: (e)E.

Only conclusion II follows

Why this answer is correct

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

Conclusions:

I. Some Rhombus are Quadrilateral. → False (As there is no direct relation between the two is given so it can be possible but not certain. Hence, does not follow.)

II. Some Square can be Parallelogram. → True (As there is no direct relation between the two is given so it can be possible but not certain. Hence, follows.)

Hence, the correct answer is only conclusion II follows.

Question 14

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 from commonly known facts. Read both the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

Some Economists are Financiers.

Some Analysts are Data Scientists.

All Financiers are Analysts.

Conclusions:

I. Some Economists are Analysts.

II. At least some Data Scientists can be Economists.

  1. AOption (a)

    Neither conclusion I nor II follows

  2. BOption (b)

    Only conclusion I follows

  3. COption (c)

    Either conclusion I or II follows

  4. DOption (d)

    Only conclusions II follows

  5. EOption (e)

    Both conclusions I and II follow

View answer & explanation

Correct answer

Answer: (e)E.

Both conclusions I and II follow

Why this answer is correct

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

Conclusions:

I. Some Economists are Analysts. → True (As it is clear from the above diagram. Hence, follows.)

II. At least some Data Scientists can be Economists. → True (As from the above diagram there is no direct relation between the two is given so it is not certain but possible. Hence, follows.)

Hence, the correct answer is Both conclusions I and II follows.

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

Eight persons C, F, G, J, L, N, Q and V went for vacation in four different months which are April, May, June, July on two different dates i.e. 9 and 26 but not necessarily in same order. Q went for vacation two months before J but on different dates. Three persons went for vacation between G and V. Only one person went for vacation between L and F. G went for vacation adjacent to Q. As many person went for vacation between N and C as many between L and J. N went for vacation in the month which has even number of days. Not more than one person went for vacation between C and L.

Question 15

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

A) J is the last person who went for vacation.

B) C went for vacation just before L.

C) N and G went for vacation in the same month.

  1. AOption (a)

    Both A and B

  2. BOption (b)

    Both B and C

  3. COption (c)

    Both A and C

  4. DOption (d)

    All of these

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (e)E.

None of these

Why this answer is correct

Here, persons are C, F, G, J, L, N, Q and V; months are April, May, June, July; dates are 9 and 26.

  1. Q went for vacation two months before J but on different dates.

  2. G went for vacation adjacent to Q.

  3. Three persons went for vacation between G and V.

MonthsDatesCase – 1Case – 2
PersonsPersons
April9V
26G
May9Q
26Q
June9G
26V
July9J
26J

 

  1. Only one person went for vacation between L and F. Therefore, case 1 is eliminated.

  2. As many person went for vacation between N and C as many between L and J.

  3. N went for vacation in the month which has even number of days.

MonthsDatesCase – 1Case – 2(a)Case – 2(b)
PersonsPersonsPersons
April9NVV
26GNN
May9QCC
26CQQ
June9LGG
26VFL
July9FJJ
26JLF

 

  1. Not more than one person went for vacation between C and L. Therefore, case 2(a) and case 2(b) are eliminated. Hence, the final arrangement is as follows
MonthsDatesPersons
April9N
26G
May9Q
26C
June9L
26V
July9F
26J

 

Since, all the given statements are correct.

Hence, the correct answer is None of these.

Question 16

How many persons went for vacation between N and L?

  1. AOption (a)

    Five persons

  2. BOption (b)

    Three persons

  3. COption (c)

    Two persons

  4. DOption (d)

    Four persons

  5. EOption (e)

    One person

View answer & explanation

Correct answer

Answer: (b)B.

Three persons

Why this answer is correct

Here, persons are C, F, G, J, L, N, Q and V; months are April, May, June, July; dates are 9 and 26.

  1. Q went for vacation two months before J but on different dates.

  2. G went for vacation adjacent to Q.

  3. Three persons went for vacation between G and V.

MonthsDatesCase – 1Case – 2
PersonsPersons
April9V
26G
May9Q
26Q
June9G
26V
July9J
26J

 

  1. Only one person went for vacation between L and F. Therefore, case 1 is eliminated.

  2. As many person went for vacation between N and C as many between L and J.

  3. N went for vacation in the month which has even number of days.

MonthsDatesCase – 1Case – 2(a)Case – 2(b)
PersonsPersonsPersons
April9NVV
26GNN
May9QCC
26CQQ
June9LGG
26VFL
July9FJJ
26JLF

 

  1. Not more than one person went for vacation between C and L. Therefore, case 2(a) and case 2(b) are eliminated. Hence, the final arrangement is as follows
MonthsDatesPersons
April9N
26G
May9Q
26C
June9L
26V
July9F
26J

 

Hence, three persons went for vacation between N and L.

Question 17

Who among the following person went just before the person who went for vacation two months before F?

  1. AOption (a)

    G

  2. BOption (b)

    N

  3. COption (c)

    C

  4. DOption (d)

    L

  5. EOption (e)

    Q

View answer & explanation

Correct answer

Answer: (a)A.

G

Why this answer is correct

Here, persons are C, F, G, J, L, N, Q and V; months are April, May, June, July; dates are 9 and 26.

  1. Q went for vacation two months before J but on different dates.

  2. G went for vacation adjacent to Q.

  3. Three persons went for vacation between G and V.

MonthsDatesCase – 1Case – 2
PersonsPersons
April9V
26G
May9Q
26Q
June9G
26V
July9J
26J

 

  1. Only one person went for vacation between L and F. Therefore, case 1 is eliminated.

  2. As many person went for vacation between N and C as many between L and J.

  3. N went for vacation in the month which has even number of days.

MonthsDatesCase – 1Case – 2(a)Case – 2(b)
PersonsPersonsPersons
April9NVV
26GNN
May9QCC
26CQQ
June9LGG
26VFL
July9FJJ
26JLF

 

  1. Not more than one person went for vacation between C and L. Therefore, case 2(a) and case 2(b) are eliminated. Hence, the final arrangement is as follows
MonthsDatesPersons
April9N
26G
May9Q
26C
June9L
26V
July9F
26J

 

Since, Q went for vacation two months before F and G went for vacation just before Q.

Hence, the correct answer is G.

Question 18

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

  1. AOption (a)

    V went for vacation just after F.

  2. BOption (b)

    Only two persons went for vacation before V.

  3. COption (c)

    C and V went for vacation in the same month.

  4. DOption (d)

    V went for vacation in the month of June.

  5. EOption (e)

    None of these.

View answer & explanation

Correct answer

Answer: (d)D.

V went for vacation in the month of June.

Why this answer is correct

Here, persons are C, F, G, J, L, N, Q and V; months are April, May, June, July; dates are 9 and 26.

  1. Q went for vacation two months before J but on different dates.

  2. G went for vacation adjacent to Q.

  3. Three persons went for vacation between G and V.

MonthsDatesCase – 1Case – 2
PersonsPersons
April9V
26G
May9Q
26Q
June9G
26V
July9J
26J

 

  1. Only one person went for vacation between L and F. Therefore, case 1 is eliminated.

  2. As many person went for vacation between N and C as many between L and J.

  3. N went for vacation in the month which has even number of days.

MonthsDatesCase – 1Case – 2(a)Case – 2(b)
PersonsPersonsPersons
April9NVV
26GNN
May9QCC
26CQQ
June9LGG
26VFL
July9FJJ
26JLF

 

  1. Not more than one person went for vacation between C and L. Therefore, case 2(a) and case 2(b) are eliminated. Hence, the final arrangement is as follows
MonthsDatesPersons
April9N
26G
May9Q
26C
June9L
26V
July9F
26J

 

Hence, the correct statement is V went for vacation in the month of June.

Question 19

In a certain way four of the five are alike, find the one which does not follow the same pattern?

  1. AOption (a)

    N

  2. BOption (b)

    Q

  3. COption (c)

    L

  4. DOption (d)

    V

  5. EOption (e)

    G

View answer & explanation

Correct answer

Answer: (b)B.

Q

Why this answer is correct

Here, persons are C, F, G, J, L, N, Q and V; months are April, May, June, July; dates are 9 and 26.

  1. Q went for vacation two months before J but on different dates.

  2. G went for vacation adjacent to Q.

  3. Three persons went for vacation between G and V.

MonthsDatesCase – 1Case – 2
PersonsPersons
April9V
26G
May9Q
26Q
June9G
26V
July9J
26J

 

  1. Only one person went for vacation between L and F. Therefore, case 1 is eliminated.

  2. As many person went for vacation between N and C as many between L and J.

  3. N went for vacation in the month which has even number of days.

MonthsDatesCase – 1Case – 2(a)Case – 2(b)
PersonsPersonsPersons
April9NVV
26GNN
May9QCC
26CQQ
June9LGG
26VFL
July9FJJ
26JLF

 

  1. Not more than one person went for vacation between C and L. Therefore, case 2(a) and case 2(b) are eliminated. Hence, the final arrangement is as follows
MonthsDatesPersons
April9N
26G
May9Q
26C
June9L
26V
July9F
26J

 

Since, each person except Q went for vacation in the month which has even number of days.

Hence, the odd one is Q.

Question 20

In a certain way, the word "PRAYER" is written as "SUYBCU" and "SKETCH" is written as "VNCWFK", then what can be the code for the word "TABLET" ?

  1. AOption (a)

    WYEOWC

  2. BOption (b)

    WYEOCW

  3. COption (c)

    WYOEWC

  4. DOption (d)

    TXDNVC

  5. EOption (e)

    UZPEWC

View answer & explanation

Correct answer

Answer: (b)B.

WYEOCW

Why this answer is correct

Here, "PRAYER" is written as "SUYBCU" and "SKETCH" is written as "VNCWFE".

Therefore, from the above diagram it is clear each consonant is increased by 3 and each vowel is decreased by 2.

Hence, "TABLET" is written as "WYEOCW".

Question 21

How many such pairs of digits are there in the number "74896254317" each of which has as many digits between them in the number (both in forward and backward direction) as they have between them in the Number Series?

  1. AOption (a)

    Six

  2. BOption (b)

    Eight

  3. COption (c)

    Nine

  4. DOption (d)

    Ten

  5. EOption (e)

    Eleven

View answer & explanation

Correct answer

Answer: (e)E.

Eleven

Why this answer is correct

Pairs in Forward direction:- 8 - 9, 2 - 4, 4 - 7, 2 - 7

Pairs in Backward direction:- 2 - 7, 6 - 8, 3 - 4, 3 - 5, 4 - 5, 1 - 6, 1 - 8

Hence, the correct answer is Eleven such pairs.

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

Six persons D, K, N, R, S and U went to buy ice – creams of different flavours which are Chocobar, Coffee, Caramel, Pistachio, Strawberry and Vanilla on six different days starting from Monday to Saturday but not necessarily in same order. N buys the ice – cream two days before the one who buys Coffee flavour ice – cream. K buys caramel ice cream on a Thursday. As many persons buy ice – cream between D and K as many between K and the one who buys Pistachio. S buys ice – cream before the one who buys Strawberry ice – cream. The one who buys Vanilla ice – cream buys just before N. R buys the ice – cream just after the one who buys Caramel ice – cream. R and U buys coffee and pistachio respectively. D buys ice – cream before Friday. N doesn't buy Chocobar. S doesn't buy Vanilla or Pistachio. R buys on a Friday.

Question 22

In a certain way four of the five are alike find the one which does not follow the same pattern?

  1. AOption (a)

    D - Strawberry

  2. BOption (b)

    S - Vanilla

  3. COption (c)

    N - Caramel

  4. DOption (d)

    K - Pistachio

  5. EOption (e)

    U - Coffee

View answer & explanation

Correct answer

Answer: (d)D.

K - Pistachio

Why this answer is correct

Here, persons are D, K, N, R, S and U; ice – creams are Chocobar, Coffee, Caramel, Pistachio, Strawberry and Vanilla.

  1. N buys the ice – cream two days before the one who buys Coffee flavour ice – cream.

  2. The one who buys Vanilla ice – cream buys just before N.

DaysCase – 1Case – 2Case – 3
PersonsIce - creamsPersonsIce - creamsPersonsIce - creams
MondayVanilla
TuesdayNVanilla
WednesdayNVanilla
ThursdayCoffeeN
FridayCoffee
SaturdayCoffee

 

  1. As many persons buy ice – cream between D and K as many between K and the one who buys Pistachio.

  2. S buys ice – cream before the one who buys Strawberry ice – cream.

  3. D buys before Friday.

DaysCase – 1(a)Case – 1(b)Case – 2Case – 3
PersonsIce - creamsPersonsIce - creamsPersonsIce - creamsPersonsIce - creams
MondaySVanillaDVanillaSD
TuesdayNNDVanillaS
WednesdayDKNKVanilla
ThursdayKCoffeeSCoffeeKNStrawberry
FridayPistachioPistachioCoffeePistachio
SaturdayStrawberryPistachioCoffee

 

  1. R buys the ice – cream just after the one who buys Caramel ice – cream. Therefore, case 1(a), case 1(b) and case 3 are eliminated. Hence, the final arrangement is as follows
DaysPersonsIce - Creams
MondaySChocobar
TuesdayDVanilla
WednesdayNStrawberry
ThursdayKCaramel
FridayRCoffee
SaturdayUPistachio

 

Since, each pair represents person buys ice - cream adjacent to each other whereas one person buys ice - cream between K and the one who buys Pistachio.

Hence, the correct answer is K - Pistachio.

Question 23

Who among the following person buys ice - cream two days before K?

  1. AOption (a)

    The one who buys ice - cream on Wednesday.

  2. BOption (b)

    The one who buys Strawberry ice - cream.

  3. COption (c)

    The who buys Vanilla Ice - cream.

  4. DOption (d)

    S

  5. EOption (e)

    None

View answer & explanation

Correct answer

Answer: (c)C.

The who buys Vanilla Ice - cream.

Why this answer is correct

Here, persons are D, K, N, R, S and U; ice – creams are Chocobar, Coffee, Caramel, Pistachio, Strawberry and Vanilla.

  1. N buys the ice – cream two days before the one who buys Coffee flavour ice – cream.

  2. The one who buys Vanilla ice – cream buys just before N.

DaysCase – 1Case – 2Case – 3
PersonsIce - creamsPersonsIce - creamsPersonsIce - creams
MondayVanilla
TuesdayNVanilla
WednesdayNVanilla
ThursdayCoffeeN
FridayCoffee
SaturdayCoffee

 

  1. As many persons buy ice – cream between D and K as many between K and the one who buys Pistachio.

  2. S buys ice – cream before the one who buys Strawberry ice – cream.

  3. D buys before Friday.

DaysCase – 1(a)Case – 1(b)Case – 2Case – 3
PersonsIce - creamsPersonsIce - creamsPersonsIce - creamsPersonsIce - creams
MondaySVanillaDVanillaSD
TuesdayNNDVanillaS
WednesdayDKNKVanilla
ThursdayKCoffeeSCoffeeKNStrawberry
FridayPistachioPistachioCoffeePistachio
SaturdayStrawberryPistachioCoffee

 

  1. R buys the ice – cream just after the one who buys Caramel ice – cream. Therefore, case 1(a), case 1(b) and case 3 are eliminated. Hence, the final arrangement is as follows
DaysPersonsIce - Creams
MondaySChocobar
TuesdayDVanilla
WednesdayNStrawberry
ThursdayKCaramel
FridayRCoffee
SaturdayUPistachio

 

Hence, the one who buys Vanilla ice - cream buys two days before K.

Question 24

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

  1. AOption (a)

    S buys ice - cream on Tuesday.

  2. BOption (b)

    U buys Coffee flavour ice - cream.

  3. COption (c)

    N buys ice - cream on Monday.

  4. DOption (d)

    R buys Pistachio flavour ice - cream.

  5. EOption (e)

    K buys Caramel flavour ice - cream.

View answer & explanation

Correct answer

Answer: (e)E.

K buys Caramel flavour ice - cream.

Why this answer is correct

Here, persons are D, K, N, R, S and U; ice – creams are Chocobar, Coffee, Caramel, Pistachio, Strawberry and Vanilla.

  1. N buys the ice – cream two days before the one who buys Coffee flavour ice – cream.

  2. The one who buys Vanilla ice – cream buys just before N.

DaysCase – 1Case – 2Case – 3
PersonsIce - creamsPersonsIce - creamsPersonsIce - creams
MondayVanilla
TuesdayNVanilla
WednesdayNVanilla
ThursdayCoffeeN
FridayCoffee
SaturdayCoffee

 

  1. As many persons buy ice – cream between D and K as many between K and the one who buys Pistachio.

  2. S buys ice – cream before the one who buys Strawberry ice – cream.

  3. D buys before Friday.

DaysCase – 1(a)Case – 1(b)Case – 2Case – 3
PersonsIce - creamsPersonsIce - creamsPersonsIce - creamsPersonsIce - creams
MondaySVanillaDVanillaSD
TuesdayNNDVanillaS
WednesdayDKNKVanilla
ThursdayKCoffeeSCoffeeKNStrawberry
FridayPistachioPistachioCoffeePistachio
SaturdayStrawberryPistachioCoffee

 

  1. R buys the ice – cream just after the one who buys Caramel ice – cream. Therefore, case 1(a), case 1(b) and case 3 are eliminated. Hence, the final arrangement is as follows
DaysPersonsIce - Creams
MondaySChocobar
TuesdayDVanilla
WednesdayNStrawberry
ThursdayKCaramel
FridayRCoffee
SaturdayUPistachio

 

Hence, the correct statement is K buys Caramel flavour ice - cream.

Question 25

Who among the following person likes Chocobar ice - cream?

  1. AOption (a)

    D

  2. BOption (b)

    The one who buys on Wednesday.

  3. COption (c)

    K

  4. DOption (d)

    The one who buys on Monday.

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (d)D.

The one who buys on Monday.

Why this answer is correct

Here, persons are D, K, N, R, S and U; ice – creams are Chocobar, Coffee, Caramel, Pistachio, Strawberry and Vanilla.

  1. N buys the ice – cream two days before the one who buys Coffee flavour ice – cream.

  2. The one who buys Vanilla ice – cream buys just before N.

DaysCase – 1Case – 2Case – 3
PersonsIce - creamsPersonsIce - creamsPersonsIce - creams
MondayVanilla
TuesdayNVanilla
WednesdayNVanilla
ThursdayCoffeeN
FridayCoffee
SaturdayCoffee

 

  1. As many persons buy ice – cream between D and K as many between K and the one who buys Pistachio.

  2. S buys ice – cream before the one who buys Strawberry ice – cream.

  3. D buys before Friday.

DaysCase – 1(a)Case – 1(b)Case – 2Case – 3
PersonsIce - creamsPersonsIce - creamsPersonsIce - creamsPersonsIce - creams
MondaySVanillaDVanillaSD
TuesdayNNDVanillaS
WednesdayDKNKVanilla
ThursdayKCoffeeSCoffeeKNStrawberry
FridayPistachioPistachioCoffeePistachio
SaturdayStrawberryPistachioCoffee

 

  1. R buys the ice – cream just after the one who buys Caramel ice – cream. Therefore, case 1(a), case 1(b) and case 3 are eliminated. Hence, the final arrangement is as follows
DaysPersonsIce - Creams
MondaySChocobar
TuesdayDVanilla
WednesdayNStrawberry
ThursdayKCaramel
FridayRCoffee
SaturdayUPistachio

 

Hence, the one who buys ice - cream on Monday buys Chocobar ice - cream.

Question 26

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

A) U buys Pistachio flavour ice - cream.

B) K buys ice - cream on Thursday.

C) N likes Vanilla flavour ice - cream.

  1. AOption (a)

    Only C

  2. BOption (b)

    Both A and C

  3. COption (c)

    Both B and C

  4. DOption (d)

    Only A

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (e)E.

None of these

Why this answer is correct

Here, persons are D, K, N, R, S and U; ice – creams are Chocobar, Coffee, Caramel, Pistachio, Strawberry and Vanilla.

  1. N buys the ice – cream two days before the one who buys Coffee flavour ice – cream.

  2. The one who buys Vanilla ice – cream buys just before N.

DaysCase – 1Case – 2Case – 3
PersonsIce - creamsPersonsIce - creamsPersonsIce - creams
MondayVanilla
TuesdayNVanilla
WednesdayNVanilla
ThursdayCoffeeN
FridayCoffee
SaturdayCoffee

 

  1. As many persons buy ice – cream between D and K as many between K and the one who buys Pistachio.

  2. S buys ice – cream before the one who buys Strawberry ice – cream.

  3. D buys before Friday.

DaysCase – 1(a)Case – 1(b)Case – 2Case – 3
PersonsIce - creamsPersonsIce - creamsPersonsIce - creamsPersonsIce - creams
MondaySVanillaDVanillaSD
TuesdayNNDVanillaS
WednesdayDKNKVanilla
ThursdayKCoffeeSCoffeeKNStrawberry
FridayPistachioPistachioCoffeePistachio
SaturdayStrawberryPistachioCoffee

 

  1. R buys the ice – cream just after the one who buys Caramel ice – cream. Therefore, case 1(a), case 1(b) and case 3 are eliminated. Hence, the final arrangement is as follows
DaysPersonsIce - Creams
MondaySChocobar
TuesdayDVanilla
WednesdayNStrawberry
ThursdayKCaramel
FridayRCoffee
SaturdayUPistachio

 

Since, U buys Pistachio flavour ice - cream. Therefore, statement A is correct.

K buys ice - cream on Thursday. Therefore, statement B is correct.

N likes Strawberry flavour ice - cream. Therefore, statement C is incorrect.

Hence, the correct answer is None of these.

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

Kavi starts walking from point A towards west direction and walks for 8 Km to reach at point B. From here, he takes a right turn and walks for 6 Km to reach at point C. Then he takes another right turn and walks for 5 Km to reach at point D. Then after he takes a left turn and walks for 2 Km and reaches at point E. From here, he takes a right turn and walks for 4 Km to reach at point F. Then he takes another right turn and walks for 10 Km to reach at point G. After that he takes a left turn and walks for 2 Km reaches at point H. Then he takes a final left turn and walks for 2 Km to reach at his destination point I.

Question 27

What is the direction of point I with respect to point A?

  1. AOption (a)

    Northwest

  2. BOption (b)

    Northeast

  3. COption (c)

    South

  4. DOption (d)

    West

  5. EOption (e)

    East

View answer & explanation

Correct answer

Answer: (e)E.

East

Why this answer is correct

  1. Kavi starts walking from point A towards west direction and walks for 8 Km to reach at point B.

  2. From here, he takes a right turn and walks for 6 Km to reach at point C.

  3. Then he takes another right turn and walks for 5 Km to reach at point D.

  4. Then after he takes a left turn and walks for 2 Km and reaches at point E.

  5. From here, he takes a right turn and walks for 4 Km to reach at point F.

  6. Then he takes another right turn and walks for 10 Km to reach at point G.

  7. After that he takes a left turn and walks for 2 Km reaches at point H.

  8. Then he takes a final left turn and walks for 2 Km to reach at his destination point I.

Hence, point I is in east direction with respect to point A.

Question 28

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

  1. AOption (a)

    Point F is in Northwest direction with respect to point B.

  2. BOption (b)

    Point D is in North direction with respect to point A.

  3. COption (c)

    Point G is in Southwest direction with respect to point I.

  4. DOption (d)

    Point C is in Northeast direction with respect to point H.

  5. EOption (e)

    None of these.

View answer & explanation

Correct answer

Answer: (c)C.

Point G is in Southwest direction with respect to point I.

Why this answer is correct

  1. Kavi starts walking from point A towards west direction and walks for 8 Km to reach at point B.

  2. From here, he takes a right turn and walks for 6 Km to reach at point C.

  3. Then he takes another right turn and walks for 5 Km to reach at point D.

  4. Then after he takes a left turn and walks for 2 Km and reaches at point E.

  5. From here, he takes a right turn and walks for 4 Km to reach at point F.

  6. Then he takes another right turn and walks for 10 Km to reach at point G.

  7. After that he takes a left turn and walks for 2 Km reaches at point H.

  8. Then he takes a final left turn and walks for 2 Km to reach at his destination point I.

Hence, the correct statement is Point G is in Southwest direction with respect to point I.

Question 29

Find the odd one out.

  1. AOption (a)

    DF

  2. BOption (b)

    BD

  3. COption (c)

    GI

  4. DOption (d)

    AF

  5. EOption (e)

    EG

View answer & explanation

Correct answer

Answer: (e)E.

EG

Why this answer is correct

  1. Kavi starts walking from point A towards west direction and walks for 8 Km to reach at point B.

  2. From here, he takes a right turn and walks for 6 Km to reach at point C.

  3. Then he takes another right turn and walks for 5 Km to reach at point D.

  4. Then after he takes a left turn and walks for 2 Km and reaches at point E.

  5. From here, he takes a right turn and walks for 4 Km to reach at point F.

  6. Then he takes another right turn and walks for 10 Km to reach at point G.

  7. After that he takes a left turn and walks for 2 Km reaches at point H.

  8. Then he takes a final left turn and walks for 2 Km to reach at his destination point I.

Since, each pair except EG represents first position is in Northeast direction to the second position whereas point E is in Northwest direction with respect to point G.

Hence, the odd one is EG.

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

Six persons A, G, L, O, R and S are standing in decreasing order according to their weights but not necessarily in same order. The weight of second heaviest person is 67 Kg. A is heavier than S who is heavier than G. The number of persons heavier than L is less than that of lighter than him. The weight of second lightest person is 58 Kg. R is heavier than S. O is not heavier than G. Only one person is heavier than A. R is not lighter than L.

Question 30

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

  1. AOption (a)

    R is the second heaviest person.

  2. BOption (b)

    The possible weight of L is 70 Kg.

  3. COption (c)

    S is the third lightest person.

  4. DOption (d)

    More than one option.

  5. EOption (e)

    None of these.

View answer & explanation

Correct answer

Answer: (c)C.

S is the third lightest person.

Why this answer is correct

Here, persons are A, G, L, O, R, S.

  1. The weight of second heaviest person is 67 Kg.

  2. Only one person is heavier than A.

  3. The number of persons heavier than L is less than that of lighter than him.

Case – 1 

                   >   A   >   L  >      >       >       

                       67 Kg

Case – 2   

                L  >   A   >       >      >       >    

                      67 Kg

  1. A is heavier than S who is heavier than G.

  2. The weight of second lightest person is 58 Kg.

  3. R is heavier than S.

Case – 1(a) 

                   >   A   >   L   >   R   >   S   >  G      

                       67 Kg                   58 Kg

Case – 1(b) 

                      R  >   A   >   L  >      >       >       

                             67 Kg                58 Kg

Case – 2 (a)

                    L  >   A   >   R   >  S   >   G   >    

                      67 Kg                          58Kg

Case – 2(b)

                    L  >   A   >       >   R   >   S   >   G    

                         67 Kg                      58 Kg

  1. R is not lighter than L. Therefore, case 1(a), case 2(a) and case 2(b) are eliminated.

  2. O is not heavier than G. Hence, the final arrangement is as follows

              R    >   A    >    L    >    S    >    G    >   O

                       67 Kg                           58 Kg    

Hence, the correct statement is S is the third lightest person.

Question 31

What could be the possible weight of O?

  1. AOption (a)

    60 Kg

  2. BOption (b)

    65 Kg

  3. COption (c)

    59 Kg

  4. DOption (d)

    55 Kg

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (d)D.

55 Kg

Why this answer is correct

Here, persons are A, G, L, O, R, S.

  1. The weight of second heaviest person is 67 Kg.

  2. Only one person is heavier than A.

  3. The number of persons heavier than L is less than that of lighter than him.

Case – 1 

                   >   A   >   L  >      >       >       

                       67 Kg

Case – 2   

                L  >   A   >       >      >       >    

                      67 Kg

  1. A is heavier than S who is heavier than G.

  2. The weight of second lightest person is 58 Kg.

  3. R is heavier than S.

Case – 1(a) 

                   >   A   >   L   >   R   >   S   >  G      

                       67 Kg                   58 Kg

Case – 1(b) 

                      R  >   A   >   L  >      >       >       

                             67 Kg                58 Kg

Case – 2 (a)

                    L  >   A   >   R   >  S   >   G   >    

                      67 Kg                          58Kg

Case – 2(b)

                    L  >   A   >       >   R   >   S   >   G    

                         67 Kg                      58 Kg

  1. R is not lighter than L. Therefore, case 1(a), case 2(a) and case 2(b) are eliminated.

  2. O is not heavier than G. Hence, the final arrangement is as follows

              R    >   A    >    L    >    S    >    G    >   O

                       67 Kg                           58 Kg    

Hence, the possible weight of O is 55 Kg.

Question 32

Who is the heaviest person among all?

  1. AOption (a)

    L

  2. BOption (b)

    R

  3. COption (c)

    S

  4. DOption (d)

    A

  5. EOption (e)

    G

View answer & explanation

Correct answer

Answer: (b)B.

R

Why this answer is correct

Here, persons are A, G, L, O, R, S.

  1. The weight of second heaviest person is 67 Kg.

  2. Only one person is heavier than A.

  3. The number of persons heavier than L is less than that of lighter than him.

Case – 1 

                   >   A   >   L  >      >       >       

                       67 Kg

Case – 2   

                L  >   A   >       >      >       >    

                      67 Kg

  1. A is heavier than S who is heavier than G.

  2. The weight of second lightest person is 58 Kg.

  3. R is heavier than S.

Case – 1(a) 

                   >   A   >   L   >   R   >   S   >  G      

                       67 Kg                   58 Kg

Case – 1(b) 

                      R  >   A   >   L  >      >       >       

                             67 Kg                58 Kg

Case – 2 (a)

                    L  >   A   >   R   >  S   >   G   >    

                      67 Kg                          58Kg

Case – 2(b)

                    L  >   A   >       >   R   >   S   >   G    

                         67 Kg                      58 Kg

  1. R is not lighter than L. Therefore, case 1(a), case 2(a) and case 2(b) are eliminated.

  2. O is not heavier than G. Hence, the final arrangement is as follows

              R    >   A    >    L    >    S    >    G    >   O

                       67 Kg                           58 Kg    

Hence, R is the heaviest person among all.

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

In a family of eight members, there are two married couples and no third generation person is married. A is the child of V. L is the son – in – law of C. N is the uncle of J. D is the nephew of J. Q is the niece of A. N is the brother – in – law of V. Q is not the daughter of L. J is the son of N’s sibling. C and A have same gender.

Question 33

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

  1. AOption (a)

    J is the brother of A.

  2. BOption (b)

    Q is daughter of J.

  3. COption (c)

    L is the father of D.

  4. DOption (d)

    C is the mother of J.

  5. EOption (e)

    V is the sister - in - law of N.

View answer & explanation

Correct answer

Answer: (e)E.

V is the sister - in - law of N.

Why this answer is correct

Here, family members are A, C, D,  J, L, N, Q and V.

  1. A is the child of V.

  2. L is the son – in – law of C.

  3. Q is the niece of A.

  4. N is the brother – in – law of V.

  5. N is the uncle of J.

  6. D is the nephew of J.

  7. Q is not the daughter of L. Therefore, case 1 is eliminated.

  8. J is the son of N’s sibling.

  9. C and A have same gender. Therefore, case 3 is eliminated. Hence, the final arrangement is as follows

Hence, the incorrect statement is V is the sister - in - law of N.

Question 34

Who is the mother of A?

  1. AOption (a)

    V

  2. BOption (b)

    N

  3. COption (c)

    C

  4. DOption (d)

    L

  5. EOption (e)

    Q

View answer & explanation

Correct answer

Answer: (c)C.

C

Why this answer is correct

Here, family members are A, C, D,  J, L, N, Q and V.

  1. A is the child of V.

  2. L is the son – in – law of C.

  3. Q is the niece of A.

  4. N is the brother – in – law of V.

  5. N is the uncle of J.

  6. D is the nephew of J.

  7. Q is not the daughter of L. Therefore, case 1 is eliminated.

  8. J is the son of N’s sibling.

  9. C and A have same gender. Therefore, case 3 is eliminated. Hence, the final arrangement is as follows

Hence, C is the mother of A.

Question 35

How is L related to J?

  1. AOption (a)

    Brother

  2. BOption (b)

    Father

  3. COption (c)

    Son

  4. DOption (d)

    Brother - in - law

  5. EOption (e)

    Cannot be determined

View answer & explanation

Correct answer

Answer: (d)D.

Brother - in - law

Why this answer is correct

Here, family members are A, C, D,  J, L, N, Q and V.

  1. A is the child of V.

  2. L is the son – in – law of C.

  3. Q is the niece of A.

  4. N is the brother – in – law of V.

  5. N is the uncle of J.

  6. D is the nephew of J.

  7. Q is not the daughter of L. Therefore, case 1 is eliminated.

  8. J is the son of N’s sibling.

  9. C and A have same gender. Therefore, case 3 is eliminated. Hence, the final arrangement is as follows

Hence, L is the brother - in - law of J.

English Language (30 questions)

Question 36

Directions

In each of the questions below, three 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.**

A) The artist, along with his assistants, were preparing for the exhibition.

B) The book that you gave me was really interesting.

C) Unless he doesn’t apologize, she won’t forgive him.

  1. AOption (a)

    Only A

  2. BOption (b)

    A and C

  3. COption (c)

    Only C

  4. DOption (d)

    Only B

  5. EOption (e)

    All are correct

View answer & explanation

Correct answer

Answer: (d)D.

Only B

Why this answer is correct

The correct answer is Option 4.

 

Key Points

  • Sentence A: The artist, along with his assistants, were preparing for the exhibition.
  • This sentence is incorrect because when "along with" is used, the subject (the artist) is the one that determines the verb. So, it should be "was" instead of "were" (The artist, along with his assistants, was preparing).
  • Sentence B: The book that you gave me was really interesting.
  • This sentence is correct as it is grammatically sound and contextually meaningful. It uses the relative clause "that you gave me" correctly.
  • Sentence C: Unless he doesn’t apologize, she won’t forgive him.
  • This sentence is incorrect because "unless" already implies a negative condition, so "doesn't" is redundant. The correct sentence should be "Unless he apologizes, she won’t forgive him."

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

Question 37

Directions

In each of the questions below, three 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.**

A) The teacher as well as the students has left the classroom.

B) He hardly had no time to prepare for the interview.

C) She has been working here since five years.

  1. AOption (a)

    Only A

  2. BOption (b)

    A and B

  3. COption (c)

    Only C

  4. DOption (d)

    Only B

  5. EOption (e)

    All are correct

View answer & explanation

Correct answer

Answer: (a)A.

Only A

Why this answer is correct

The correct answer is Option 1.

 

Key Points

  • Sentence A: The teacher as well as the students has left the classroom.
  • This sentence is correct because the verb should agree with the first subject, which is "teacher" (singular).
  • Sentence B: He hardly had no time to prepare for the interview.
  • This sentence is incorrect because "hardly" and "no" are redundant in a negative construction. The correct sentence is: "He hardly had time to prepare for the interview."
  • Sentence C: She has been working here since five years.
  • This sentence is incorrect because "since" should be used with a specific point in time, not a period of time. The correct sentence is: "She has been working here for five years."

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

Question 38

Directions

In each of the questions below, three sentences are given. Identify the one(s) that are grammatically or contextually incorrect. If all the sentences are correct, mark 'All are correct' as your answer.**

A) Each of the boys have submitted his homework.

B) No sooner had she arrived than it started to rain.

C) They are planning to go for a picnic, isn’t it?

  1. AOption (a)

    Only A

  2. BOption (b)

    A and C

  3. COption (c)

    Only B

  4. DOption (d)

    B and C

  5. EOption (e)

    All are correct

View answer & explanation

Correct answer

Answer: (b)B.

A and C

Why this answer is correct

The correct answer is Option 2.

 

Key Points

  • Sentence A: Each of the boys have submitted his homework.
  • This sentence is incorrect because "each" is singular, and the verb should agree with the singular subject. The correct sentence is "Each of the boys has submitted his homework."
  • Sentence B: No sooner had she arrived than it started to rain.
  • This sentence is correct because it correctly uses the "no sooner... than" construction to express the idea that one event happened immediately after another.
  • Sentence C: They are planning to go for a picnic, isn’t it?
  • This sentence is incorrect because the question tag should match the subject in number and person. Since "they" is plural, the correct question tag is "aren't they?" instead of "isn't it?"

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

Question 39

Directions

In each of the questions below, three sentences are given. Identify the one(s) that are grammatically or contextually incorrect. If all the sentences are correct, mark 'All are correct' as your answer.**

A) He has visited London last year with his family.

B) The news are spreading rapidly across social media.

C) She speaks French fluently and understands German as well.

  1. AOption (a)

    A and B

  2. BOption (b)

    Only A

  3. COption (c)

    Only B

  4. DOption (d)

    A and C

  5. EOption (e)

    All are correct

View answer & explanation

Correct answer

Answer: (a)A.

A and B

Why this answer is correct

The correct answer is Option 1.

 

Key Points

  • Sentence A: He has visited London last year with his family.
  • This sentence is incorrect because "has visited" is present perfect, and it should be used with a non-specific time. Since "last year" is a specific time, the past simple tense "visited" should be used instead. The correct sentence is "He visited London last year with his family."
  • Sentence B: The news are spreading rapidly across social media.
  • This sentence is incorrect because "news" is a singular noun, so it takes the singular verb "is" instead of "are." The correct sentence is "The news is spreading rapidly across social media."
  • Sentence C: She speaks French fluently and understands German as well.
  • This sentence is correct as it is grammatically and contextually sound. It correctly uses "and" to connect two related actions, and both parts are correct.

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

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.

In a small village nestled between rolling hills and wide, green fields, the farmers woke up to the golden light of dawn, ready to tend to their crops. One of these farmers was Ravi, who was known for his diligent work and dedication to sustainable farming. Unlike many of his peers, Ravi was careful about the strategies he used to maintain the health of his crops. Over the years, Ravi had seen the rise in the use of pesticides, which were designed to protect crops from insects and diseases. While they often helped improve yields, Ravi noticed that their overuse had led to a number of unintended consequences. The soil's quality was deteriorating, and beneficial insects like bees were disappearing. Determined to find a solution, Ravi decided to compute the real costs and benefits of using pesticides in his farming practice. Ravi embarked on a journey to gather data and thoroughly understand the impact of pesticides. Under the shade of a large banyan tree, he set up his small laptop and started computing the numbers. He compared the cost of pesticides, the yield improvements they promised, and the health of the soil and plants. His findings were astonishing. In the short term, pesticides did boost his yields, but the long-term damage to the environment and subsequent repair costs outweighed the benefits. Ravi decided it was time to ___________ his farming methods. He attended workshops on organic farming, where he learned about natural alternatives to chemical pesticides. He started using neem oil and compost, which not only protected his crops but also enriched the soil. He also introduced crop rotation and integrated pest management (IPM), ensuring that harmful pests were kept in check by their natural predators. One day, as he was walking through his fields, Ravi met an old friend, Sunil. Sunil too was a farmer, but unlike Ravi, he still relied heavily on synthetic pesticides. Ravi shared his findings and methods with Sunil, who listened intently. However, Sunil was skeptical; he had heard many such suggestions but had stuck to what he knew best. Ravi, understanding his friend's hesitation, invited Sunil to his farm. Together, they walked the fields, and Ravi demonstrated how his plants flourished without synthetic chemicals. Sunil was surprised at the healthy crops and began to see the benefits of a more natural approach. Inspired, Sunil decided to revise his own practices. He started with a small section of his farm, computing the results meticulously. The shift wasn't easy, and it required patience and learning, but over time, Sunil noticed improvements not just in the health of his crops but in the ecosystem as a whole. Birds and bees started returning, and the soil became richer. Through their effort and willingness to change, Ravi and Sunil demonstrated that while traditional methods might stick around for comfort and familiarity, revising one's approach towards sustainable farming could yield benefits far beyond immediate profits. Their journey serves as an inspiring tale, encouraging farmers to balance progress with preservation for a healthier future.

Question 40

According to the passage, which of the following was an unintended consequence of overusing pesticides?

  1. AOption (a)

    Decrease in crop yields

  2. BOption (b)

    Improvement of soil quality

  3. COption (c)

    Disappearance of beneficial insects like bees

  4. DOption (d)

    Increase in rainfall

  5. EOption (e)

    Expansion of farming land

View answer & explanation

Correct answer

Answer: (c)C.

Disappearance of beneficial insects like bees

Why this answer is correct

The correct answer is Option 3.

 

Key Points

  • The passage highlights the unintended consequences of overusing pesticides in Ravi's village.
  • It specifically mentions the "disappearance of beneficial insects like bees."
  • This indicates that the overuse of pesticides harmed the ecosystem, especially affecting these vital insects.

Therefore, the correct answer is Option 3.

 

Supporting Sentence: “The soil's quality was deteriorating, and beneficial insects like bees were disappearing.”

 

Additional Information

  • Option 1 (Decrease in crop yields) is incorrect because the passage states that pesticides improved yields in the short term.
  • Option 2 (Improvement of soil quality) is incorrect as the soil quality actually deteriorated.
  • Option 4 (Increase in rainfall) is not mentioned in the passage.
  • Option 5 (Expansion of farming land) is also not discussed in the passage.

Question 41

The passage states that:

  1. AOption (a)

    Ravi used synthetic pesticides to improve long-term soil quality.

  2. BOption (b)

    Ravi’s friend Sunil never considered sustainable farming methods.

  3. COption (c)

    Ravi attended workshops on organic farming to learn about natural alternatives.

  4. DOption (d)

    Synthetic pesticides provided environmental benefits without any drawbacks.

  5. EOption (e)

    Sunil immediately adopted Ravi’s methods across the entire farm.

View answer & explanation

Correct answer

Answer: (c)C.

Ravi attended workshops on organic farming to learn about natural alternatives.

Why this answer is correct

The correct answer is Option 3.

 

Key Points

  • The passage explicitly mentions Ravi’s attendance at workshops on organic farming.
  • These workshops helped him learn about natural alternatives to chemical pesticides.
  • This is a crucial part of Ravi's journey towards sustainable farming practices.

Therefore, the correct answer is Option 3.

 

Supporting Sentence: "He attended workshops on organic farming, where he learned about natural alternatives to chemical pesticides."

 

Additional Information

  • Option 1 is incorrect because Ravi moved away from using synthetic pesticides.
  • Option 2 is incorrect; Sunil did consider sustainable methods, though initially skeptical.
  • Option 4 is incorrect as synthetic pesticides had environmental drawbacks.
  • Option 5 is incorrect; Sunil did not immediately adopt Ravi’s methods across the entire farm.

Question 42

Which, of the following, is true about Ravi’s findings after computing the costs and benefits of using pesticides?

  1. AOption (a)

    The short-term benefits of pesticides were negligible compared to their costs.

  2. BOption (b)

    The long-term environmental damage and repair costs outweighed the initial benefits of pesticides.

  3. COption (c)

    Pesticides had no impact on crop yields.

  4. DOption (d)

    Overuse of pesticides had no significant impact on the ecosystem.

  5. EOption (e)

    Ravi decided to continue using synthetic pesticides for better yields.

View answer & explanation

Correct answer

Answer: (b)B.

The long-term environmental damage and repair costs outweighed the initial benefits of pesticides.

Why this answer is correct

The correct answer is Option 2.

 

Key Points

  • Ravi realized that while pesticides did boost short-term yields, the long-term damage to the environment was significant.
  • The repair costs for the environmental damage caused by pesticides were greater than the initial benefits they provided.
  • This understanding led Ravi to seek sustainable and natural farming methods.

Therefore, the correct answer is Option 2.

 

Supporting Sentence: "In the short term, pesticides did boost his yields, but the long-term damage to the environment and subsequent repair costs outweighed the benefits."

 

Additional Information

  • Option 1 is incorrect as the passage indicates that short-term benefits of pesticides were noticeable.
  • Option 3 is incorrect because pesticides did impact crop yields positively in the short term.
  • Option 4 is incorrect as the passage specifies significant negative impacts on the ecosystem from pesticide overuse.
  • Option 5 is incorrect because Ravi chose to use natural alternatives instead of continuing with synthetic pesticides.

Question 43

According to the passage, Ravi invited Sunil to his farm to:

  1. AOption (a)

    Convince him that synthetic pesticides were harmful.

  2. BOption (b)

    Show him the machinery he purchased.

  3. COption (c)

    Demonstrate how his crops flourished without synthetic chemicals.

  4. DOption (d)

    Plan a joint venture together.

  5. EOption (e)

    Discuss the financial gains from organic farming.

View answer & explanation

Correct answer

Answer: (c)C.

Demonstrate how his crops flourished without synthetic chemicals.

Why this answer is correct

The correct answer is Option 3.

 

Key Points

  • Ravi invited Sunil to his farm to show him the success he was having with crops grown without using synthetic chemicals.
  • He wanted to provide a tangible demonstration of the effectiveness of sustainable farming methods.
  • By doing this, Ravi hoped to inspire Sunil to reconsider his reliance on synthetic pesticides.

Therefore, the correct answer is Option 3.

 

Supporting Sentence: "Together, they walked the fields, and Ravi demonstrated how his plants flourished without synthetic chemicals."

 

Additional Information

  • Option 1 is incorrect because the passage emphasizes showing the benefits rather than just convincing Sunil of harm.
  • Option 2 is incorrect as there is no mention of new machinery in the passage.
  • Option 4 is incorrect because no joint venture is discussed.
  • Option 5 is incorrect as the primary focus was on demonstrating the practical success of organic methods, not discussing financial gains.

Question 44

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

A) Ravi's initial findings showed that pesticides did not help in improving yields at all.

B) Sunil was initially skeptical about Ravi's approach.

C) Ravi was known for his dedication to sustainable farming.

  1. AOption (a)

    Only A

  2. BOption (b)

    Only B

  3. COption (c)

    Only C

  4. DOption (d)

    A and B

  5. EOption (e)

    B and C

View answer & explanation

Correct answer

Answer: (e)E.

B and C

Why this answer is correct

The correct answer is Option 5.

 

Key Points

  • Statement A: Ravi's initial findings showed that pesticides did not help in improving yields at all.
  • This statement is incorrect because the passage indicates that pesticides did boost yields in the short term, although they had long-term negative effects.
  • Statement B: Sunil was initially skeptical about Ravi's approach.
  • This statement is correct as the passage mentions Sunil's initial skepticism towards Ravi's natural farming methods.
  • Statement C: Ravi was known for his dedication to sustainable farming.
  • This statement is correct as the passage describes Ravi's commitment to sustainable farming practices.

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

Question 45

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

A) Ravi used neem oil and compost as natural alternatives to chemical pesticides.

B) Sunil implemented crop rotation and integrated pest management on Ravi’s advice.

C) Ravi noticed that the disappearance of bees led to the improvement of crop yields.

  1. AOption (a)

    Only A

  2. BOption (b)

    Only B

  3. COption (c)

    Only C

  4. DOption (d)

    A and C

  5. EOption (e)

    B and C

View answer & explanation

Correct answer

Answer: (e)E.

B and C

Why this answer is correct

The correct answer is Option 5.

 

Key Points

  • Statement A: Ravi used neem oil and compost as natural alternatives to chemical pesticides.
  • This statement is correct as it accurately reflects Ravi's approach as described in the passage.
  • Statement B: Sunil implemented crop rotation and integrated pest management on Ravi’s advice.
  • This statement is incorrect because the passage does not specifically mention Sunil adopting crop rotation and integrated pest management.
  • Statement C: Ravi noticed that the disappearance of bees led to the improvement of crop yields.
  • This statement is incorrect because the passage indicates that the disappearance of bees was an unintended, negative consequence of pesticide overuse.
  • Hence, the statements B and C are identified as incorrect in the context of the passage.

Therefore, the correct answer is: 'B and C'.

Question 46

What will fit in the blank taken from the passage: "Ravi decided it was time to ___________ his farming methods."

  1. AOption (a)

    encourage

  2. BOption (b)

    abandon

  3. COption (c)

    criticize

  4. DOption (d)

    revise

  5. EOption (e)

    delay

View answer & explanation

Correct answer

Answer: (d)D.

revise

Why this answer is correct

The correct answer is 'revise'.

 

Key Points

  • The word "revise" means to reevaluate or alter one's methods or practices (संशोधित करना).
  • In the context of the passage, Ravi is determined to improve his farming methods after finding the negative impact of pesticides.
  • The other options: "encourage," "abandon," "criticize," and "delay" do not fit the context as appropriately.

​Therefore, the correct answer is 'Option 4'.

Complete Sentence: Ravi decided it was time to revise his farming methods.

Additional Information

  • Encourage (प्रोत्साहित करना): To give support or advice to inspire someone.
  • Abandon (त्याग देना): To leave something completely.
  • Criticize (आलोचना करना): To find fault or judge something.
  • Delay (विलंब): To postpone or put off an action.

Question 47

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

  1. AOption (a)

    expand

  2. BOption (b)

    calculate

  3. COption (c)

    dispute

  4. DOption (d)

    ignore

  5. EOption (e)

    represent

View answer & explanation

Correct answer

Answer: (b)B.

calculate

Why this answer is correct

The correct answer is: Option 2 i.e., Calculate.

Key Points

  • The word "compute" means to calculate or reckon a figure or amount. (गणना करना)
  • Example: Scientists compute the distance between galaxies to understand the universe better.
  • "Calculate" means to determine the amount or number of something mathematically. (गणना करना)
  • Example: She calculated her monthly expenses to manage her budget efficiently.

Therefore, the correct answer is: Calculate.

Additional Information

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

  • Expand (विस्तार करना): To make something larger or more extensive.
  • Example: The company plans to expand its operations overseas.
  • Dispute (विवाद करना): To argue or debate about something.
  • Example: The neighbours were in a dispute over the property line.
  • Ignore (अनदेखा करना): To intentionally not pay attention to something.
  • Example: He decided to ignore the negative comments.
  • Represent (प्रस्तुत करना): To stand for or symbolise something.
  • Example: The lawyer will represent her in court.

Question 48

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

  1. AOption (a)

    adhere

  2. BOption (b)

    remove

  3. COption (c)

    alter

  4. DOption (d)

    reject

  5. EOption (e)

    hinder

View answer & explanation

Correct answer

Answer: (a)A.

adhere

Why this answer is correct

The correct answer is: Option 1 i.e., Adhere.

Key Points

  • The word "stick" means to stay attached or remain fixed to a certain position. (बने रहना)
  • Example: If you stick to the plan, you'll achieve your goals.
  • "Adhere" means to stick firmly to something, such as a practice or a belief. (पालन करना)
  • Example: She adheres to a healthy diet and regular exercise routine.

Therefore, the correct answer is: Adhere.

Additional Information

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

  • Remove (हटाना): To take something away or off from the position occupied.
  • Example: Please remove the old documents from the table.
  • Alter (बदलना): To change or make different.
  • Example: The tailor will alter the dress to fit better.
  • Reject (अस्वीकार करना): To dismiss or refuse.
  • Example: The committee decided to reject the proposal.
  • Hinder (बाधा डालना): To create difficulties for something, resulting in delay or obstruction.
  • Example: The heavy traffic will hinder our travel time.

Question 49

Directions

Select the phrase from the options below that should replace the underlined phrase in the sentence to make it grammatically correct. If the sentence is already correct, select 'No correction required' as your answer.**

Had I known about the traffic, I would be taking an alternative route to avoid this delay in reaching the airport.

  1. AOption (a)

    I would myself be taking

  2. BOption (b)

    I would have taken

  3. COption (c)

    I would myself take

  4. DOption (d)

    I will definitely be taking

  5. EOption (e)

    No correction required

View answer & explanation

Correct answer

Answer: (b)B.

I would have taken

Why this answer is correct

The correct answer is option 2.

Key Points

  • The correct phrase is "I would have taken."
  • The underlined phrase "I would be taking" is erroneous as it suggests a present or future action, which doesn’t align with the structure of a type three conditional sentence like this one.
  • Here, 'I would have taken' fits better as it refers to a past action that didn’t happen due to a condition in the past, i.e., 'knowing about the traffic' in this case.
  • Sentence structure of type - 3 conditional sentence:
  • If + past perfect tense (had + past participle) + would + have + past participle
  • For Example:
  • If I had studied harder, I would have passed the exam.
  • The correct sentence after phrase replacement would be: "Had I known about the traffic, I would have taken an alternative route to avoid this delay in reaching the airport."

 

Additional Information

  • Let's understand different types of conditional sentences:
  • The Zero Conditional - General truth
  • Sentence structure - If + present simple, present simple 
  • For Example -
  • If I get a cup of coffee in the morning, I feel energetic all day.
  • The First Conditional - Future event
  • Sentence structure - If + present simple, will + infinitive 
  • For Example -
  • If I have a test tomorrow, you will study all night.
  • The Second Conditional - Hypothetical outcome
  • Sentence structure - if + past simple, would + infinitive 
  • For Example -
  • If I had a million dollars, I would buy an island.
  • The Third Conditional - Hypothetical outcome
  • Sentence structure - if + past perfect, would + have + past participle 
  • For Example -
  • I wouldn't have gotten sick if I had taken my medicine on time.

Question 50

Directions

Select the phrase from the options below that should replace the underlined phrase in the sentence to make it grammatically correct. If the sentence is already correct, select 'No correction required' as your answer.

English is quite often the language of choice when speaking to a international audience.

  1. AOption (a)

    To an international audience

  2. BOption (b)

    To a international audiences

  3. COption (c)

    To an international audiences

  4. DOption (d)

    Above a international audience

  5. EOption (e)

    No correction required

View answer & explanation

Correct answer

Answer: (a)A.

To an international audience

Why this answer is correct

The correct answer is 'To an international audience.'

Key Points

  • In the underlined part of the given sentence, the use of the article 'a' is incorrect.
  • The noun 'international' in the underlined segment is not a specified noun.
  • 'A' and 'an' are indefinite articles, which means that they refer to, or introduce, an unspecified noun.
  • We use 'a' before a consonant sound, and we use 'an' before a vowel sound (here, international).
  • The definite article 'the' is used before singular and plural nouns when the noun is specific or particular.
  • ''No article'' is used when we refer to general ideas, plurals, or uncountable nouns.

Hence, the correct answer is option 1.

Correct Sentence: English is quite often the language of choice when speaking to an international audience.

Additional Information

  • There are three articles: a, an, and the. Articles are used before nouns or noun equivalents and are a type of adjective.

 

RULESCOUNT NOUNSNON-COUNT NOUNS
Specific identity not knowna, an(no article)
Specific identity is knownthethe
All things or things in general(no article)(no article)

Question 51

Directions

Select the phrase from the options below that should replace the underlined phrase in the sentence to make it grammatically correct. If the sentence is already correct, select 'No correction required' as your answer.**

The GPS receiver calculates it's position by analyzing signals from multiple satellites, relying on the speed of light.

  1. AOption (a)

    calculated it's position by analyzing

  2. BOption (b)

    calculating it's position for analyzing

  3. COption (c)

    calculates its position by analyzing

  4. DOption (d)

    calculate its position in analyzing

  5. EOption (e)

    No correction required

View answer & explanation

Correct answer

Answer: (c)C.

calculates its position by analyzing

Why this answer is correct

The correct answer is option 3.

Key Points

  • The correct phrase is "calculates its position by analyzing."
  • The underlined phrase "calculates it's position" is erroneous due to the use of "it's," which means "it is" or "it has." The correct term here is "its," showing possession.
  • Hence, it should be "calculates its position" to indicate that the GPS receiver determines its own position, not "it is position" or "it has position."
  • The correct sentence after phrase replacement would be: "The GPS receiver calculates its position by analyzing signals from multiple satellites, relying on the speed of light."

 

Additional Information

  • Let's understand the meaning of its and it's:
  • "Its" is a possessive pronoun, showing ownership, while "It's" is a contraction of "it is" or "it has."
  • For Example:
  • Its colour is blue. (possessive)
  • It's raining heavily. (contraction for "it is")
  • The dog chased its tail. (possessive)
  • It's been a long day. (contraction for "it has")

Question 52

Directions

Select the phrase from the options below that should replace the underlined phrase in the sentence to make it grammatically correct. If the sentence is already correct, select 'No correction required' as your answer.**

Our reliance on digital storage for numbers dulls our ability to remembering even essential phone numbers.

  1. AOption (a)

    dull our ability in remembering

  2. BOption (b)

    dulls our ability for remember

  3. COption (c)

    dulls our ability to remember

  4. DOption (d)

    dulling our ability to remember

  5. EOption (e)

    No correction required

View answer & explanation

Correct answer

Answer: (c)C.

dulls our ability to remember

Why this answer is correct

The correct answer is option 3.

Key Points

  • The correct phrase is "dulls our ability to remember."
  • The underlined phrase "dulls our ability to remembering" is incorrect because after the preposition "to," we need to use the base form of the verb, which is "remember," not its gerund form (-ing).
  • The correct structure is "dulls our ability to remember," indicating the action that is affected by reliance on digital storage.
  • The correct sentence after phrase replacement would be: "Our reliance on digital storage for numbers dulls our ability to remember even essential phone numbers."

 

Additional Information

  • Let's understand some important vocabulary given in the question:
  • Reliance - the state of depending on or trusting in something or someone (आश्रितता)
  • For Example -
  • The team's reliance on accurate data was crucial for making informed business decisions.
  • Ability - the quality or state of being able; capacity to do something (क्षमता)
  • For Example -
  • Her ability to adapt to new challenges made her a valuable asset to the company.
  • Essential - absolutely necessary; extremely important (आवश्यक)
  • For Example -
  • Regular exercise is essential for maintaining good health and well-being.

Directions: In the following passage, some words have been deleted. Select the most appropriate option to fill in each blank.

Amidst the 2020 Belarusian protests and Polish and Western calls for a renewed election, declaring the 2020 Belarusian presidential election invalid, Belarus (1) troops near Eastern Poland. After the forceful suppression of Belarusian protests, the main opposition challenger Sviatlana Tsikhanouskaya (2) the country to Poland, then to Lithuania. The Polish government has (3) a villa in the Praga-Południe district of Warsaw for 10 years to be used by the Belarusian opposition. It has also given (4) to opposition leader Valery Tsepkalo. Polish Prime minister Mateusz Morawiecki has promised to (5) help to the opposition, which angered president Lukashenko and his allies. Poland is also hosting the Belarusian news channel Nexta, which has played a (6) part in organizing the protests. The Morawiecki government has (7) to give 11 million euros to Belarusian civil society and independent media.

Question 53

Select the most appropriate option to fill in blank number 1.

  1. AOption (a)

    Appreciated

  2. BOption (b)

    Relished

  3. COption (c)

    Deployed

  4. DOption (d)

    Surrendered

  5. EOption (e)

    Contented

View answer & explanation

Correct answer

Answer: (c)C.

Deployed

Why this answer is correct

The correct answer is 'Deployed.'

Key Points

  • The given sentence "Amidst the 2020 Belarusian protests and Polish and Western calls for a renewed election, declaring the 2020 Belarusian presidential election invalid, Belarus (1) troops near Eastern Poland'' is saying that the Belarus government moved troops into position for military action near Eastern Poland amidst protests.
  • Therefore, the most appropriate word to be filled in the blank is 'Deployed'.
  • Also, the use of the word ''troops'' in the sentence indicates the use of the word 'deployed' in the blank.
  • The word 'Deployed' means To move troops or equipment into position for military action.
  • Example: The troops were deployed for battle.

Hence, the correct answer is option 3.

Complete Sentence: Amidst the 2020 Belarusian protests and Polish and Western calls for a renewed election, declaring the 2020 Belarusian presidential election invalid, Belarus deployed troops near Eastern Poland.

Additional Information

  • Let us explore  the other options:
  • Appreciated means To enjoy something or to understand the value of somebody or something.
  • Relished means To enjoy something or to look forward to something very much.
  • Surrendered means To stop fighting and admit that you have lost.
  • Contented means To accept something even though it was not exactly what you wanted.

Question 54

Select the most appropriate option to fill in blank number 2.

  1. AOption (a)

    Imagined

  2. BOption (b)

    Expected

  3. COption (c)

    Sustained

  4. DOption (d)

    Welcomed

  5. EOption (e)

    Fled

View answer & explanation

Correct answer

Answer: (e)E.

Fled

Why this answer is correct

The correct answer is 'Fled.'

Key Points

  • The given sentence "After the forceful suppression of Belarusian protests, the main opposition challenger Sviatlana Tsikhanouskaya (2) the country to Poland, then to Lithuania'' is saying that after the forceful suppression of Belarusian protests, the main opposition challenger ran away or escaped from the country to Poland, then to Lithuania.
  • Therefore, the most appropriate word to be filled in the blank is 'Fled'.
  • Also, the use of the phrase ''the country to'' in the sentence indicates the use of the word 'fled' in the blank.
  • The word 'Fled' means To run away or escape from something.
  • Example: The family fled from Nazi Germany to Britain in 1936.

Hence, the correct answer is option 5.

Complete Sentence: After the forceful suppression of Belarusian protests, the main opposition challenger Sviatlana Tsikhanouskaya fled the country to Poland, then to Lithuania.

Additional Information

  • Let us explore  the other options:
  • Imagined means To suppose or assume.
  • Expected means To regard something as likely to happen.
  • Sustained means To strengthen or support physically or mentally.
  • Welcomed means To greet someone arriving in a polite or friendly way.

Question 55

Select the most appropriate option to fill in blank number 3.

  1. AOption (a)

    Allotted

  2. BOption (b)

    Motivated

  3. COption (c)

    Encouraged

  4. DOption (d)

    Inspired

  5. EOption (e)

    Provoked

View answer & explanation

Correct answer

Answer: (a)A.

Allotted

Why this answer is correct

The correct answer is 'Allotted.'

Key Points

  • The given sentence "The Polish government has (3) a villa in the Praga-Południe district of Warsaw for 10 years to be used by the Belarusian opposition'' is saying that the Polish government has given a villa to the Belarusian opposition for 10 years.
  • Therefore, the most appropriate word to be filled in the blank is 'Allotted'.
  • Also, the use of the word ''villa'' in the sentence indicates the use of the word 'allotted' in the blank.
  • The word 'Allotted' means To give or apportion something to someone.
  • Example: They allotted a separate villa to everyone.

Hence, the correct answer is option 1.

Complete Sentence: The Polish government has allotted a villa in the Praga-Południe district of Warsaw for 10 years to be used by the Belarusian opposition.

Additional Information

  • Let us explore  the other options:
  • Motivated means To cause someone to have interest in or enthusiasm for something.
  • Encouraged means To give support, confidence, or hope to someone.
  • Inspired means To fill someone with the urge or ability to do or feel something, especially to do something creative.
  • Provoked means To cause a particular feeling or reaction.

Question 56

Select the most appropriate option to fill in blank number 4.

  1. AOption (a)

    Demolish

  2. BOption (b)

    Ruin

  3. COption (c)

    Consume

  4. DOption (d)

    Refuge

  5. EOption (e)

    Dismantle

View answer & explanation

Correct answer

Answer: (d)D.

Refuge

Why this answer is correct

The correct answer is 'Refuge.'

Key Points

  • The given sentence "It has also given (4) to opposition leader Valery Tsepkalo'' is saying that the Polish government has also given a place providing safety or shelter to opposition leader Valery Tsepkalo.
  • Therefore, the most appropriate word to be filled in the blank is 'Refuge'.
  • Also, the use of the phrase ''also given'' in the sentence indicates the use of the word 'refuge' in the blank.
  • The word 'Refuge' means A place or situation providing safety or shelter.
  • Example: She had fled from her violent husband to a women's refuge.

Hence, the correct answer is option 4.

Complete Sentence: It has also given refuge to opposition leader Valery Tsepkalo.

Additional Information

  • Let us explore  the other options:
  • Demolish means To destroy something.
  • Ruin means The state of being destroyed or very badly damaged.
  • Consume means To eat or drink something.
  • Dismantle means To take something to pieces; to separate something into the parts it is made from.

Question 57

Select the most appropriate option to fill in blank number 5.

  1. AOption (a)

    Separate

  2. BOption (b)

    Provide

  3. COption (c)

    Leave

  4. DOption (d)

    Forget

  5. EOption (e)

    Distinguish

View answer & explanation

Correct answer

Answer: (b)B.

Provide

Why this answer is correct

The correct answer is 'Provide.'

Key Points

  • The given sentence "Polish Prime minister Mateusz Morawiecki has promised to (5) help to the opposition, which angered president Lukashenko and his allies'' is talking about Polish Prime minister Mateusz Morawiecki promising to give help to the opposition.
  • Therefore, the most appropriate word to be filled in the blank is 'Provide'.
  • Also, the use of the word ''help'' in the sentence indicates the use of the word 'provide' in the blank.
  • The word 'Provide' means To give something to somebody or make something available for somebody to use.
  • Example: We provide help to families in crisis situations.

Hence, the correct answer is option 2.

Complete Sentence: Polish Prime minister Mateusz Morawiecki has promised to provide help to the opposition, which angered president Lukashenko and his allies.

Additional Information

  • Let us explore  the other options:
  • Separate means To keep people or things apart.
  • Leave means To go away from somebody or something.
  • Forget means To not being able to remember something.
  • Distinguish means To recognize the difference between two things or people.

Question 58

Select the most appropriate option to fill in blank number 6.

  1. AOption (a)

    Tease

  2. BOption (b)

    Withdraw

  3. COption (c)

    Abscond

  4. DOption (d)

    Mock

  5. EOption (e)

    Key

View answer & explanation

Correct answer

Answer: (e)E.

Key

Why this answer is correct

The correct answer is 'Key.'

Key Points

  • The given sentence "Poland is also hosting the Belarusian news channel Nexta, which has played a (6) part in organizing the protests'' is saying that Poland is also hosting the Belarusian news channel Nexta, which has played a crucial or important part in organizing the protests.
  • Therefore, the most appropriate word to be filled in the blank is 'Key'.
  • Also, the use of the word ''part'' in the sentence indicates the use of the word 'key' in the blank.
  • The word 'Key' means Of crucial importance.
  • Example: Deforestation in the Himalayas has played a key part.

Hence, the correct answer is option 5.

Complete Sentence: Poland is also hosting the Belarusian news channel Nexta, which has played a key part in organizing the protests.

Additional Information

  • Let us explore  the other options:
  • Tease means To make fun of or attempt to provoke someone in a playful way.
  • Withdraw means To remove or take away something from a particular place or position.
  • Abscond means To leave hurriedly and secretly, typically to escape from custody or avoid arrest.
  • Mock means To laugh at somebody or something in an unkind way or to make other people laugh at him/her/it.

Question 59

Select the most appropriate option to fill in blank number 7.

  1. AOption (a)

    Promised

  2. BOption (b)

    Assassinated

  3. COption (c)

    Recruited

  4. DOption (d)

    Utilized

  5. EOption (e)

    Massacred

View answer & explanation

Correct answer

Answer: (a)A.

Promised

Why this answer is correct

The correct answer is 'Promised.'

Key Points

  • The given sentence "The Morawiecki government has (7) to give 11 million euros to Belarusian civil society and independent media'' is saying that the Morawiecki government has assured or guaranteed to give 11 million euros to Belarusian civil society and independent media.
  • Therefore, the most appropriate word to be filled in the blank is 'Promised'.
  • Also, the use of the word ''give'' in the sentence indicates the use of the word 'promised' in the blank.
  • The word 'Promised' means To say definitely that you will give something to somebody.
  • Example: The Minister promised to give a written answer to the MP's detailed question.

Hence, the correct answer is option 1.

Complete Sentence: The Morawiecki government has promised to give 11 million euros to Belarusian civil society and independent media.

Additional Information

  • Let us explore  the other options:
  • Assassinated means To murder an important person for political or religious reasons.
  • Recruited means To find new people to join a company, an organization, the armed forces, etc.
  • Utilized means To make use of something.
  • Massacred means To deliberately and brutally kill many people.

Question 60

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

Flush

A. The hunter spotted a deer and tried to flush it out from hiding.

B. He felt a flush of embarrassment when his mistake was pointed out.

C. The plumber came to fix the toilet so it would flush properly.

  1. AOption (a)

    Only A

  2. BOption (b)

    Only C

  3. COption (c)

    Both A & B

  4. DOption (d)

    All A, B & C

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (d)D.

All A, B & C

Why this answer is correct

The correct answer is option 4.

Key Points

  • To answer this question, let's first understand the meaning of the word given in the question:
  • Flush: to force someone or something out of hiding; a sudden feeling or emotion; or to clean something (e.g., a toilet) by sending water through it. (छिपे हुए को बाहर निकालना, अचानक महसूस होना, पानी से साफ करना)
  • Now, let's examine the given sentences:
  • Sentence A: The hunter spotted a deer and tried to flush it out from hiding.
  • This sentence correctly uses the word "flush" to describe the action of forcing the deer out from its hiding place.
  • Sentence B: He felt a flush of embarrassment when his mistake was pointed out.
  • This sentence also correctly uses the word "flush" to describe a sudden feeling (in this case, embarrassment).
  • Sentence C: The plumber came to fix the toilet so it would flush properly.
  • This sentence accurately uses the word "flush" to describe the process of cleaning or clearing the toilet using water.
  • So, all three sentences correctly use the word "flush" to illustrate different meanings of the word.

Therefore, the correct answer is "All A, B, and C."

Question 61

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

Charter

A. The company decided to Charter a plane for the business trip.

B. The new law will require a majority vote to alter the city’s charter.

C. The school’s charter included a commitment to community service.

  1. AOption (a)

    Only A

  2. BOption (b)

    Only B

  3. COption (c)

    Both A & B

  4. DOption (d)

    All A, B & C

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (d)D.

All A, B & C

Why this answer is correct

The correct answer is option 4.

Key Points

  • To answer this question, let's first understand the meaning of the word given in the question:
  • Charter: The term "charter" has multiple meanings:
  • To hire or lease a vehicle such as a plane or ship for personal use.
  • A legal document or constitution that establishes rights, rules, and governance for an organization or entity.
  • Now, let's examine the given sentences:
  • Sentence A: The company decided to charter a plane for the business trip.
  • This sentence correctly uses the word "charter" to describe the act of hiring a plane for a specific purpose.
  • Sentence B: The new law will require a majority vote to alter the city's charter.
  • This sentence correctly uses the word "charter" to refer to a legal document that governs the city.
  • Sentence C: The school's charter included a commitment to community service.
  • This sentence correctly uses the word "charter" to refer to a governing document that outlines the school's principles and objectives.
  • So, all three sentences correctly use the word "charter" to illustrate different contexts of its meaning.

Therefore, the correct answer is "All A, B, and C."

Question 62

In each question, one sentence is given in which certain words are in bold and numbered from A to E. Below the sentence are given five options with possible pairs of interchange of those bold words. Choose the pair(s) of words which are needed to be interchanged to make the sentence grammatically correct and meaningful.

Personal protective equipment (A) is protective clothing, helmets, goggles, or other (B) garments or equipment designed (C) to protect the wearer's infection (D) from injury or  body (E)

  1. AOption (a)

    B-E

  2. BOption (b)

    D-E

  3. COption (c)

    A-C

  4. DOption (d)

    B-D

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (b)B.

D-E

Why this answer is correct

The correct answer is D-E.

Key Points

  • A, B and C are rightly placed as per context and grammar.
  • The only option left is D-E.
  • D must refer to something owned by the 'wearer'. 'infection' does not fit the context. However, 'body' is a perfect fir for D.
  • Also, E must be a word similar to injury or something harmful because of the 'or' used. D ie 'infection' fits in this context**.**
  • Hence, the correct answer is option 2

Correct sentence- Personal protective equipment is protective clothing, helmets, goggles, or other garments or equipment designed to protect the wearer's body from injury or infection.

Question 63

In each question, one sentence is given in which certain words are in bold and numbered from A to E. Below the sentence are given five options with possible pairs of interchange of those bold words. Choose the pair(s) of words which are needed to be interchanged to make the sentence grammatically correct and meaningful.

The proves (A) of two sadhus and their driver(B) in Maharashtra's Palghar area this month lynching(C) that everyone is equal in the eyes(D) of a paranoid(E)

  1. AOption (a)

    A - C

  2. BOption (b)

    B-D

  3. COption (c)

    D-E

  4. DOption (d)

    A-D

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (a)A.

A - C

Why this answer is correct

The correct answer is A-C

Key Points

  • A is a misfit in its place. 'proves' does not fit contextually in A.
  • B is correctly placed, hence, option 2 is ruled out.
  • With A, there are 2 options, 1 and 4.
  • If we swap A and D, the sentence is not grammatically and contextually correct.

Lynching is an extrajudicial killing by a group. It is most often used to characterize informal public executions by a mob in order to punish an alleged transgressor, punish a convicted transgressor, or intimidate.

  • We are talking about an incidence where people were lynched.
  • Thus, A-C is the correct swap.

Additional Information

  • Paranoid: An unrealistic distrust of others or a feeling of being persecuted.

The correct sentence is: The lynching of two sadhus and their driver in Maharashtra's Palghar area this month proves that everyone is equal in the eyes of a paranoid

Question 64

In each question, one sentence is given in which certain words are in bold and numbered from A to E. Below the sentence are given five options with possible pairs of interchange of those bold words. Choose the pair(s) of words which are needed to be interchanged to make the sentence grammatically correct and meaningful.

As the Mughal Empire broke **down (A)**under the pressure of British seeking passionate(B), almost every one of them was **headed (C)**by someone who was a independence(D) reader and author.(E)

  1. AOption (a)

    A-D

  2. BOption (b)

    B-D

  3. COption (c)

    A-C

  4. DOption (d)

    B-E

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (b)B.

B-D

Why this answer is correct

The correct answer is B-D.

Key Points

  • A is correctly placed. Thus, options 1 and 3 are ruled out.
  • D does not fit in its place because 'a' must be followed by a word that starts with a consonant.
  • Also, B is a misfit. B cannot be replaced with 'headed' or 'author'. If B and D are swapped, the sentence is contextually and grammatically sound.
  • Thus, the correct answer is option 2.

Correct sentence- As the Mughal Empire broke down under the pressure of British seeking independence, almost every one of them was headed by someone who was a passionate reader and author.

Question 65

In each question, one sentence is given in which certain words are in bold and numbered from A to E. Below the sentence are given five options with possible pairs of interchange of those bold words. Choose the pair(s) of words which are needed to be interchanged to make the sentence grammatically correct and meaningful.

The NITI Aayog has announced (A) the second instalment(B) of 1,100 more solar panels ensuing (C) Uttar Pradesh for the to (D) inspection in the third week (E) of July.

  1. AOption (a)

    A-B

  2. BOption (b)

    B-C

  3. COption (c)

    D-E

  4. DOption (d)

    C-D

  5. EOption (e)

    No swapping required

View answer & explanation

Correct answer

Answer: (d)D.

C-D

Why this answer is correct

The correct answer is C-D.

Key Points

  • A and B  correctly placed, hence, options 1 and 2 are ruled out.
  • C and D are wrongly placed.
  • 'to' must be used before Uttar Pradesh and 'ensuing' must be used before elections to make the sentence grammatically correct.
  • 'ensuing' means occurring afterwards or as a result.
  • Thus, the correct answer is option 4.

Correct sentence- The NITI Aayog has announced the second instalment of 1,100 more solar panels to Uttar Pradesh for the ensuing inspection in the third week of July.

Quantitative Aptitude (35 questions)

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

The table below shows the ratio of Books to Magazines sold each year from 2012 to 2016 and the difference between the number of Books and Magazines sold.

YearBooks : MagazinesDifference (Books – Magazines)
20125 : 32400
20137 : 41500
20143 : 2600
20158 : 51800
201611 : 7800

Question 66

A new type of "e-book" was introduced in 2015, which was 25% of the total number of Books sold that year. The e-books were sold at a 20% discount on the average price of all other Books. If the total revenue from Books in 2015 was Rs. 2,73,600, what was the average price of a single non-e-book?

  1. AOption (a)

    Rs. 80

  2. BOption (b)

    Rs. 90

  3. COption (c)

    Rs. 60

  4. DOption (d)

    Rs. 50

  5. EOption (e)

    Rs. 40

View answer & explanation

Correct answer

Answer: (c)C.

Rs. 60

Why this answer is correct

General Solution:

YearBooks : MagazinesDifference (B − M)Books SoldMagazines Sold
20125 : 32400Ratio difference = 5 − 3 = 2
1 part = 2400 ÷ 2 = 1200
Books = 5 × 1200 = 6000
Magazines = 3 × 1200 = 3600
20137 : 41500Ratio difference = 7 − 4 = 3
1 part = 1500 ÷ 3 = 500
Books = 7 × 500 = 3500
Magazines = 4 × 500 = 2000
20143 : 2600Ratio difference = 3 − 2 = 1
1 part = 600 ÷ 1 = 600
Books = 3 × 600 = 1800
Magazines = 2 × 600 = 1200
20158 : 51800Ratio difference = 8 − 5 = 3
1 part = 1800 ÷ 3 = 600
Books = 8 × 600 = 4800
Magazines = 5 × 600 = 3000
201611 : 7800Ratio difference = 11 − 7 = 4
1 part = 800 ÷ 4 = 200
Books = 11 × 200 = 2200
Magazines = 7 × 200 = 1400

 

Calculations:

E-books sold = 25% of total books = 0.25 × 4800 = 1200.

Non-e-books sold = Total books - E-books = 4800 - 1200 = 3600.

Let the average price of a non-e-book be P.

The price of an e-book is a 20% discount on P, so its price is P × (1 - 0.20) = 0.80P.

Total revenue = (Number of non-e-books× Price of non-e-book) + (Number of e-books × Price of e-book).

273,600 = (3600 × P) + (1200 × 0.80P).

273,600 = 3600P + 960P.

73,600 = 4560P.

Solve for the price of a non-e-book (P):

P = 273,600 / 4560.

P = 60.

The average price of a single non-e-book was Rs. 60.

Hence, the correct answer is Rs. 60.

Question 67

If the cost price of each book is ₹50 and it is sold at ₹70, while the cost price of each magazine is ₹30 and it is sold at ₹50, find the total profit earned from the sales of all books and magazines in the year 2013.

(Assume all produced books and magazines in 2013 were sold.)

  1. AOption (a)

     Rs. 1,40,000

  2. BOption (b)

    Rs. 1,30,000

  3. COption (c)

    Rs. 98,000

  4. DOption (d)

    Rs. 1,10,000

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (d)D.

Rs. 1,10,000

Why this answer is correct

General Solution:

YearBooks : MagazinesDifference (B − M)Books SoldMagazines Sold
20125 : 32400Ratio difference = 5 − 3 = 2
1 part = 2400 ÷ 2 = 1200
Books = 5 × 1200 = 6000
Magazines = 3 × 1200 = 3600
20137 : 41500Ratio difference = 7 − 4 = 3
1 part = 1500 ÷ 3 = 500
Books = 7 × 500 = 3500
Magazines = 4 × 500 = 2000
20143 : 2600Ratio difference = 3 − 2 = 1
1 part = 600 ÷ 1 = 600
Books = 3 × 600 = 1800
Magazines = 2 × 600 = 1200
20158 : 51800Ratio difference = 8 − 5 = 3
1 part = 1800 ÷ 3 = 600
Books = 8 × 600 = 4800
Magazines = 5 × 600 = 3000
201611 : 7800Ratio difference = 11 − 7 = 4
1 part = 800 ÷ 4 = 200
Books = 11 × 200 = 2200
Magazines = 7 × 200 = 1400

 

Calculations:

Given:

2013 Books sold = 3500

2013 Magazines sold = 2000

Book: CP = ₹50, SP = ₹70 ⇒ Profit per Book = ₹70 − ₹50 = ₹20

Magazine: CP = ₹30, SP = ₹50 ⇒ Profit per Magazine = ₹50 − ₹30 = ₹20

Profit from Books = 3500 × ₹20 = ₹70,000

Profit from Magazines = 2000 × ₹20 = ₹40,000

Total Profit = ₹70,000 + ₹40,000 = ₹1,10,000

Hence, the correct answer is Rs. 1,10,000.

Question 68

Magazines sold in 2014 and 2016 together are what percentage of Books sold in 2015?

  1. AOption (a)

    38.29%

  2. BOption (b)

    39.12%

  3. COption (c)

    46.32%

  4. DOption (d)

    54.17%

  5. EOption (e)

    44.47%

View answer & explanation

Correct answer

Answer: (d)D.

54.17%

Why this answer is correct

General Solution:

YearBooks : MagazinesDifference (B − M)Books SoldMagazines Sold
20125 : 32400Ratio difference = 5 − 3 = 2
1 part = 2400 ÷ 2 = 1200
Books = 5 × 1200 = 6000
Magazines = 3 × 1200 = 3600
20137 : 41500Ratio difference = 7 − 4 = 3
1 part = 1500 ÷ 3 = 500
Books = 7 × 500 = 3500
Magazines = 4 × 500 = 2000
20143 : 2600Ratio difference = 3 − 2 = 1
1 part = 600 ÷ 1 = 600
Books = 3 × 600 = 1800
Magazines = 2 × 600 = 1200
20158 : 51800Ratio difference = 8 − 5 = 3
1 part = 1800 ÷ 3 = 600
Books = 8 × 600 = 4800
Magazines = 5 × 600 = 3000
201611 : 7800Ratio difference = 11 − 7 = 4
1 part = 800 ÷ 4 = 200
Books = 11 × 200 = 2200
Magazines = 7 × 200 = 1400

 

Calculations:

Magazines sold in 2014 = 1200

Magazines sold in 2016 = 1400

Total Magazines (2014 + 2016) = 1200 + 1400 = 2600

Books sold in 2015 = 4800

Required percentage = (2600 ÷ 4800) × 100

= (2600 × 100) ÷ 4800

= 260000 ÷ 4800

= 54.17%

Hence, the correct answer is 54.17%

Question 69

The total number of Books sold by shops 2012, 2013, 2014 is how much more or less than the total sold Magazines from all shops in 2015 and 2016?

  1. AOption (a)

    6900

  2. BOption (b)

    4100

  3. COption (c)

    5500

  4. DOption (d)

    7200

  5. EOption (e)

    8500

View answer & explanation

Correct answer

Answer: (a)A.

6900

Why this answer is correct

General Solution:

YearBooks : MagazinesDifference (B − M)Books SoldMagazines Sold
20125 : 32400Ratio difference = 5 − 3 = 2
1 part = 2400 ÷ 2 = 1200
Books = 5 × 1200 = 6000
Magazines = 3 × 1200 = 3600
20137 : 41500Ratio difference = 7 − 4 = 3
1 part = 1500 ÷ 3 = 500
Books = 7 × 500 = 3500
Magazines = 4 × 500 = 2000
20143 : 2600Ratio difference = 3 − 2 = 1
1 part = 600 ÷ 1 = 600
Books = 3 × 600 = 1800
Magazines = 2 × 600 = 1200
20158 : 51800Ratio difference = 8 − 5 = 3
1 part = 1800 ÷ 3 = 600
Books = 8 × 600 = 4800
Magazines = 5 × 600 = 3000
201611 : 7800Ratio difference = 11 − 7 = 4
1 part = 800 ÷ 4 = 200
Books = 11 × 200 = 2200
Magazines = 7 × 200 = 1400

 

Calculations:

Books 2012 = 6000

Books 2013 = 3500

Books 2014 = 1800

Total Books = 6000 + 3500 + 1800 = 11300

Magazines 2015 = 3000

Magazines 2016 = 1400

Total Magazines = 3000 + 1400 = 4400

Difference = 11300 − 4400 = 6900

Thus, total number of Books (2012–2014) is 6900 more than the total number of Magazines (2015–2016).

Question 70

In 2016, there were two types of Books sold: Hardcover (Type A) and Paperback (Type B). The number of Hardcover books sold was 66.66% of the number of Paperback books sold. Find the number of Paperback books (Type B) sold in 2016.

  1. AOption (a)

    1850

  2. BOption (b)

    1940

  3. COption (c)

    1460

  4. DOption (d)

    1530

  5. EOption (e)

    1320

View answer & explanation

Correct answer

Answer: (e)E.

1320

Why this answer is correct

General Solution:

YearBooks : MagazinesDifference (B − M)Books SoldMagazines Sold
20125 : 32400Ratio difference = 5 − 3 = 2
1 part = 2400 ÷ 2 = 1200
Books = 5 × 1200 = 6000
Magazines = 3 × 1200 = 3600
20137 : 41500Ratio difference = 7 − 4 = 3
1 part = 1500 ÷ 3 = 500
Books = 7 × 500 = 3500
Magazines = 4 × 500 = 2000
20143 : 2600Ratio difference = 3 − 2 = 1
1 part = 600 ÷ 1 = 600
Books = 3 × 600 = 1800
Magazines = 2 × 600 = 1200
20158 : 51800Ratio difference = 8 − 5 = 3
1 part = 1800 ÷ 3 = 600
Books = 8 × 600 = 4800
Magazines = 5 × 600 = 3000
201611 : 7800Ratio difference = 11 − 7 = 4
1 part = 800 ÷ 4 = 200
Books = 11 × 200 = 2200
Magazines = 7 × 200 = 1400

 

Calculations:

Total Books in 2016 = 2200

Let Paperback books = x

Hardcover books = 66.66% of Paperback books = (2/3) × x

Equation: Paperback + Hardcover = 2200

x + (2/3)x = 2200

(5/3)x = 2200

x = (2200 × 3) ÷ 5 = 1320

Hence, the correct answer is 1320.

Question 71

If in 2017, the ratio of Books to Magazines sold was 4 : 1, and the total items sold were 20% more than in 2015, how many Books were sold in 2017?

  1. AOption (a)

    5768

  2. BOption (b)

    6249

  3. COption (c)

    7488

  4. DOption (d)

    5648

  5. EOption (e)

    7662

View answer & explanation

Correct answer

Answer: (c)C.

7488

Why this answer is correct

General Solution:

YearBooks : MagazinesDifference (B − M)Books SoldMagazines Sold
20125 : 32400Ratio difference = 5 − 3 = 2
1 part = 2400 ÷ 2 = 1200
Books = 5 × 1200 = 6000
Magazines = 3 × 1200 = 3600
20137 : 41500Ratio difference = 7 − 4 = 3
1 part = 1500 ÷ 3 = 500
Books = 7 × 500 = 3500
Magazines = 4 × 500 = 2000
20143 : 2600Ratio difference = 3 − 2 = 1
1 part = 600 ÷ 1 = 600
Books = 3 × 600 = 1800
Magazines = 2 × 600 = 1200
20158 : 51800Ratio difference = 8 − 5 = 3
1 part = 1800 ÷ 3 = 600
Books = 8 × 600 = 4800
Magazines = 5 × 600 = 3000
201611 : 7800Ratio difference = 11 − 7 = 4
1 part = 800 ÷ 4 = 200
Books = 11 × 200 = 2200
Magazines = 7 × 200 = 1400

 

Calculations:

Find total items sold in 2015:

Books in 2015 = 4800

Magazines in 2015 = 3000

Total in 2015 = 4800 + 3000 = 7800

Find total in 2017:

Given: 2017 total = 20% more than 2015

20% of 7800 = 0.2 × 7800 = 1560

So total in 2017 = 7800 + 1560 = 9360

Ratio Books : Magazines = 4 : 1 → total ratio parts = 5

One part = 9360 ÷ 5 = 1872

Books = 4 × 1872 = 7488

Hence, the correct answer is 7488 Books.

Question 72

Aditya have Rs. 1500 in his hand in which he invests Rs. 500 for 3 years and Rs. 700 for 2 years and remaining for 4 years at the same rate of simple interest. If the sum of all the interest he received is Rs. 615, find the rate of interest per annum.

  1. AOption (a)

    10%

  2. BOption (b)

    12%

  3. COption (c)

    15%

  4. DOption (d)

    14%

  5. EOption (e)

    13%

View answer & explanation

Correct answer

Answer: (c)C.

15%

Why this answer is correct

Shortcut Trick

Calculate Effective Principal for 1 year: (500 × 3) + (700 × 2) + (300 × 4) = 1500 + 1400 + 1200 = 4100.

Rate of Interest = (Total Interest ÷ Total Effective Principal) × 100.

Rate = (615 ÷ 4100) × 100 = 615 ÷ 41 = 15%.

∴ The correct answer is 15%.

Alternate Method

Given: Total Amount = ₹1500, P1 = ₹500, T1 = 3 years, P2 = ₹700, T2 = 2 years, Total SI = ₹615.

Formula Used: Simple Interest (SI) = (P × R × T) ÷ 100

⇒ Remaining Principal (P3) = 1500 − (500 + 700) = ₹300.

⇒ Let the rate of interest be R% per annum.

⇒ [(500 × R × 3) ÷ 100] + [(700 × R × 2) ÷ 100] + [(300 × R × 4) ÷ 100] = 615

⇒ 15R + 14R + 12R = 615

⇒ 41R = 615

⇒ R = 615 ÷ 41 = 15.

∴ The correct answer is 15%.

Additional Information

Simple Interest Property

Simple Interest is calculated only on the Principal amount, meaning the interest earned remains constant every year if the rate and principal are unchanged.

Effective Principal Concept

When multiple investments are made at the same rate, the total interest is equivalent to a single investment of Σ(P × T) for 1 year at that rate.

Amount Formula

Total Amount (A) = Principal (P) + Simple Interest (SI). For a single rate: A = P(1 + RT/100).

Question 73

A train met with an accident 90 km away from station P. It completed the remaining journey at 7/9th of the previous speed and reached station Q, 40 minutes late. If the accident has taken place 70 km further, it would have been only 4/9 hrs late. Then, what is the normal speed of the train?

  1. AOption (a)

    80 km/hr

  2. BOption (b)

    90 km/hr

  3. COption (c)

    72 km/hr

  4. DOption (d)

    70 km/hr

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (b)B.

90 km/hr

Why this answer is correct

Shortcut Trick

Change in delay = 40 minutes − (4/9 × 60) minutes = 40 − 26.67 = 13.33 minutes = 40/3 minutes.

Speed ratio = 7 : 9 ⇒ Time ratio = 9 : 7. Difference in time units = 2 units.

For the 70 km stretch: 2 units → 40/3 minutes ⇒ 7 units (normal time) → 140/3 minutes.

Speed = Distance ÷ Normal Time = 70 ÷ (140 / (3 × 60)) = 70 × 180 ÷ 140 = 90 km/hr.

∴ The correct answer is 90 km/hr.

Alternate Method

Given: Accident 1 at 90 km, Delay = 40 min. Accident 2 at 160 km, Delay = 4/9 hr = 26.67 min.

Formula: Speed = Distance ÷ Time | Time Difference = Distance × (1/vreduced − 1/vnormal)

⇒ Let normal speed be s and reduced speed be 7s/9.

⇒ Difference in delay = 40 − 80/3 = 40/3 minutes.

⇒ This difference occurs over the 70 km stretch where speed was 7s/9 in Case 1 and s in Case 2.

⇒ 70/(7s/9) − 70/s = 40/(3 × 60) hours

⇒ 90/s − 70/s = 2/9

⇒ 20/s = 2/9

⇒ s = (20 × 9) ÷ 2 = 90 km/hr.

∴ The correct answer is 90 km/hr.

Additional Information

Ratio of Speed and Time

When distance is constant, Speed is inversely proportional to Time. If speed becomes a/b of original, time taken becomes b/a of original.

Accident Problems Shortcut

The difference in time delay is solely due to the distance between the two potential accident points. Analyze only that specific segment to find the speed.

Question 74

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

25, 26, 30, 39, 65, 80

  1. AOption (a)

    65

  2. BOption (b)

    30

  3. COption (c)

    39

  4. DOption (d)

    80

  5. EOption (e)

    26

View answer & explanation

Correct answer

Answer: (a)A.

65

Why this answer is correct

GIVEN :

25, 26, 30, 39, 65, 80

 

CALCULATION :

The series follows the following pattern:

25 + 12 = 26

26 + 22 = 30

30 + 32 = 39

39 + 42 = 55

55 + 52 = 80

∴ The wrong term in the series is 65.

Question 75

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

24, 25, 51, 157, 617, 3086

  1. AOption (a)

    51

  2. BOption (b)

    617

  3. COption (c)

    25

  4. DOption (d)

    3086

  5. EOption (e)

    157

View answer & explanation

Correct answer

Answer: (e)E.

157

Why this answer is correct

Calculation:

The series follows the following pattern:

24 × 1 + 1 = 25

25 × 2 + 1 = 51

51 × 3 + 1 = 154

154 × 4 + 1 = 617

617 × 5 + 1 = 3086

∴ The wrong term in the series is 157.

Question 76

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

23, 45, 89, 167, 353, 705

  1. AOption (a)

    167

  2. BOption (b)

    353

  3. COption (c)

    89

  4. DOption (d)

    45

  5. EOption (e)

    705

View answer & explanation

Correct answer

Answer: (a)A.

167

Why this answer is correct

The series follows the following pattern:

23 × 2 - 1 = 45

45 × 2 - 1 = 89

89 × 2 - 1 = 177

177 × 2 - 1 = 353

353 × 2 - 1 = 705

∴ The wrong term in the series is 167.

Question 77

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

1128, 1120, 1093, 1029, 904, 788

  1. AOption (a)

    1120

  2. BOption (b)

    904

  3. COption (c)

    788

  4. DOption (d)

    1029

  5. EOption (e)

    1093

View answer & explanation

Correct answer

Answer: (c)C.

788

Why this answer is correct

The series follows the following pattern:

1128 – 23 = 1120

1120 – 33 = 1093 

1093 – 43 = 1029 

1029 – 53 = 904 

904 – 63 = 688

∴ The wrong term in the series is 788.

Question 78

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

112, 116, 126, 140, 172, 236

  1. AOption (a)

    116

  2. BOption (b)

    126

  3. COption (c)

    140

  4. DOption (d)

    236

  5. EOption (e)

    172

View answer & explanation

Correct answer

Answer: (b)B.

126

Why this answer is correct

The series follows the following pattern:

112 + 4 = 116

116 + 8 = 124

124 + 16 = 140

140 + 32 = 172

172 + 64 = 236

∴ The wrong term in the series is 126.

Question 79

In a mixture of 30 litres, alcohol and water are in the ratio of 3 : 2. If 20 litres of mixture is removed and then 15 litres of alcohol and 10 litres of water is added to the mixture. What is the ratio of alcohol and water in the new mixture?

  1. AOption (a)

    2 : 3

  2. BOption (b)

    3 : 2

  3. COption (c)

    3 : 5

  4. DOption (d)

    5 : 3

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (b)B.

3 : 2

Why this answer is correct

Shortcut Trick

Initial mixture = 30 litres, Removed = 20 litres, Remaining = 10 litres.

Ratio in remaining 10 litres is still 3 : 2 → Alcohol = 6 litres, Water = 4 litres.

New Alcohol = 6 + 15 = 21 litres; New Water = 4 + 10 = 14 litres.

New Ratio = 21 : 14 = 3 : 2.

∴ The correct answer is 3 : 2.

Alternate Method

Given: Initial Volume = 30 litres, Ratio A:W = 3:2, Removed = 20 litres, Added = 15L Alcohol & 10L Water.

⇒ Remaining mixture = 30 − 20 = 10 litres.

⇒ Alcohol in 10 litres = (3/5) × 10 = 6 litres.

⇒ Water in 10 litres = (2/5) × 10 = 4 litres.

⇒ New Alcohol amount = 6 + 15 = 21 litres.

⇒ New Water amount = 4 + 10 = 14 litres.

⇒ New Ratio = 21 : 14 = 3 : 2.

∴ The correct answer is 3 : 2.

Additional Information

Ratio Stability Principle

When a part of a homogeneous mixture is removed, the ratio of components in the remaining portion and the removed portion remains the same as the original mixture.

Alligation Rule

It is used to find the ratio in which two or more ingredients at the given price/concentration must be mixed to produce a mixture of a desired price/concentration.

Question 80

The ratio of the length and breadth of a rectangle is 7 : 6. If the height of the cylinder is equal to the length of the rectangle and radius of the cylinder is 21 cm and the curved surface area of the cylinder is 1848 sq cm. Then find the perimeter of rectangle ?

  1. AOption (a)

     52 cm 

  2. BOption (b)

     48 cm

  3. COption (c)

     46 cm

  4. DOption (d)

     42 cm

  5. EOption (e)

     56cm

View answer & explanation

Correct answer

Answer: (a)A.

 52 cm 

Why this answer is correct

Shortcut Trick

Curved Surface Area (CSA) = 2πrh ⇒ 1848 = 2 × (22/7) × 21 × Height.

Height (h) = 1848 ÷ (2 × 22 × 3) = 1848 ÷ 132 = 14 cm.

Length (L) = Height = 14 cm. Since Ratio L:B = 7:6, then 7 units = 14 cm → 1 unit = 2 cm.

Breadth (B) = 6 × 2 = 12 cm. Perimeter = 2(L + B) = 2(14 + 12) = 2 × 26 = 52 cm.

∴ The correct answer is 52 cm.

Alternate Method

Given: Ratio L:B = 7:6, Radius (r) = 21 cm, CSA = 1848 sq cm, Height (h) = Length (L).

Formula Used: Curved Surface Area = 2πrh; Perimeter = 2(L + B).

⇒ 1848 = 2 × (22/7) × 21 × h

⇒ 1848 = 132 × h

⇒ h = 1848 ÷ 132 = 14 cm

⇒ Length (L) = 14 cm

⇒ Since 7x = 14, then x = 2

⇒ Breadth (B) = 6 × 2 = 12 cm

⇒ Perimeter = 2 × (14 + 12) = 2 × 26 = 52 cm

∴ The correct answer is 52 cm.

Additional Information

Cylinder Properties

Total Surface Area (TSA) = 2πr(r + h) and Volume = πr2h.

Rectangle Formulas

Area = Length × Breadth and Diagonal = √(L2 + B2).

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

A mobile phone company manufactures two types of phones: Keypad and Touchscreen. The first bar graph below displays the number of phones manufactured (both Keypad and Touchscreen) in five different cities (A, B, C, D, and E). The second bar graph shows the number of Keypad phones and Touchscreen phones sold in each of the five cities.

Question 81

If the number of City F’s Keypad mobile production is 20% more than the number of City B’s Touchscreen mobile phones, and the sold:unsold ratio in City F is 3:1, find the number of unsold Touchscreen mobiles of City F. 

  1. AOption (a)

    2

  2. BOption (b)

    5

  3. COption (c)

    4

  4. DOption (d)

    7

  5. EOption (e)

    Cannot be determined

View answer & explanation

Correct answer

Answer: (e)E.

Cannot be determined

Why this answer is correct

General Solution:

CityKeypad PhonesTouchscreen Phones
ManufacturedSoldUnsoldManufacturedSoldUnsold
A12008401200 − 840 = 360160014401600 − 1440 = 160
B15009001500 − 900 = 600120010801200 − 1080 = 120
C600570600 − 570 = 3010009001000 − 900 = 100
D900810900 − 810 = 9012007201200 − 720 = 480
E750630750 − 630 = 12011008501100 − 850 = 250
Total495037501200610049901110
Grand Total (Both types)Manufactured = 4950 + 6100 = 11050Sold = 3750 + 4990 = 8740 ; Unsold = 1200 + 1110 = 2310

 

Calculation:

City B’s Touchscreen manufactured = 1200.

City F’s Keypad manufactured = 1200 × 1.20 = 1440.

Sold : Unsold ratio in City F is 3 : 1 for Keypad phones, but the question asks about unsold Touchscreen phones.

No information is provided about the number of Touchscreen phones manufactured or sold in City F.

Hence, the required number cannot be determined from the given data.

Question 82

The total number of phones sold in City A and City E together is how much more or less than the total number of phones manufactured in City B and City C together? 

  1. AOption (a)

    580

  2. BOption (b)

    490

  3. COption (c)

    560

  4. DOption (d)

    540

  5. EOption (e)

    600

View answer & explanation

Correct answer

Answer: (d)D.

540

Why this answer is correct

General Solution:

CityKeypad PhonesTouchscreen Phones
ManufacturedSoldUnsoldManufacturedSoldUnsold
A12008401200 − 840 = 360160014401600 − 1440 = 160
B15009001500 − 900 = 600120010801200 − 1080 = 120
C600570600 − 570 = 3010009001000 − 900 = 100
D900810900 − 810 = 9012007201200 − 720 = 480
E750630750 − 630 = 12011008501100 − 850 = 250
Total495037501200610049901110
Grand Total (Both types)Manufactured = 4950 + 6100 = 11050Sold = 3750 + 4990 = 8740 ; Unsold = 1200 + 1110 = 2310

 

Calculation:

Total phones sold in City A and City E together

City A — Sold: Keypad 840 + Touchscreen 1440 = 2280

City E — Sold: Keypad 630 + Touchscreen 850 = 1480

Total Sold (A + E) = 2280 + 1480 = 3760

Total phones manufactured in City B and City C together:

City B — Manufactured: Keypad 1500 + Touchscreen 1200 = 2700

City C — Manufactured: Keypad 600 + Touchscreen 1000 = 1600

Total Manufactured (B + C) = 2700 + 1600 = 4300

Difference:

Difference = 3760 − 4300 = −540

Thus, the total number of phones sold in City A and City E together is 540 less than the total number of phones manufactured in City B and City C together.

Question 83

What is the average number of Keypad phones manufactured across all five cities?

  1. AOption (a)

    1040

  2. BOption (b)

    910

  3. COption (c)

    990

  4. DOption (d)

    1020

  5. EOption (e)

    950

View answer & explanation

Correct answer

Answer: (c)C.

990

Why this answer is correct

General Solution:

CityKeypad PhonesTouchscreen Phones
ManufacturedSoldUnsoldManufacturedSoldUnsold
A12008401200 − 840 = 360160014401600 − 1440 = 160
B15009001500 − 900 = 600120010801200 − 1080 = 120
C600570600 − 570 = 3010009001000 − 900 = 100
D900810900 − 810 = 9012007201200 − 720 = 480
E750630750 − 630 = 12011008501100 − 850 = 250
Total495037501200610049901110
Grand Total (Both types)Manufactured = 4950 + 6100 = 11050Sold = 3750 + 4990 = 8740 ; Unsold = 1200 + 1110 = 2310

 

Calculations:

Data for Keypad Phones Manufactured:

  • City A = 1200
  • City B = 1500
  • City C = 600
  • City D = 900
  • City E = 750

Total Manufactured (Keypad) = 1200 + 1500 + 600 + 900 + 750 = 4950

Number of Cities = 5

Average = Total Manufactured ÷ Number of Cities

= 4950 ÷ 5

= 990

Hence, the correct answer is 990.

Question 84

If the profit from selling one Keypad phone is Rs. 500 and the profit from selling one Touchscreen phone is Rs. 800, what is the total profit from all the phones sold in City E?

  1. AOption (a)

    ₹10,15,000

  2. BOption (b)

    ₹9,95,000

  3. COption (c)

    ₹10,06,250

  4. DOption (d)

    ₹9,67,500

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (b)B.

₹9,95,000

Why this answer is correct

General Solution:

CityKeypad PhonesTouchscreen Phones
ManufacturedSoldUnsoldManufacturedSoldUnsold
A12008401200 − 840 = 360160014401600 − 1440 = 160
B15009001500 − 900 = 600120010801200 − 1080 = 120
C600570600 − 570 = 3010009001000 − 900 = 100
D900810900 − 810 = 9012007201200 − 720 = 480
E750630750 − 630 = 12011008501100 − 850 = 250
Total495037501200610049901110
Grand Total (Both types)Manufactured = 4950 + 6100 = 11050Sold = 3750 + 4990 = 8740 ; Unsold = 1200 + 1110 = 2310

 

Step-by-step solution:

Given for City E:

  • Keypad sold = 630
  • Touchscreen sold = 850
  • Profit per Keypad = ₹500
  • Profit per Touchscreen = ₹800

Calculation:

Profit from Keypad = 630 × 500 = 315000

Profit from Touchscreen = 850 × 800 = 680000

Total Profit = 315000 + 680000 = 995000

Hence, the correct answer is ₹ 9,95,000.

Question 85

The number of unsold Keypad phones in City C is approximately what percentage of the number of unsold Touchscreen phones in City A? 

  1. AOption (a)

    14.23%

  2. BOption (b)

    17.84%

  3. COption (c)

    18.75%

  4. DOption (d)

    19.25%

  5. EOption (e)

    16.50%

View answer & explanation

Correct answer

Answer: (c)C.

18.75%

Why this answer is correct

General Solution:

CityKeypad PhonesTouchscreen Phones
ManufacturedSoldUnsoldManufacturedSoldUnsold
A12008401200 − 840 = 360160014401600 − 1440 = 160
B15009001500 − 900 = 600120010801200 − 1080 = 120
C600570600 − 570 = 3010009001000 − 900 = 100
D900810900 − 810 = 9012007201200 − 720 = 480
E750630750 − 630 = 12011008501100 − 850 = 250
Total495037501200610049901110
Grand Total (Both types)Manufactured = 4950 + 6100 = 11050Sold = 3750 + 4990 = 8740 ; Unsold = 1200 + 1110 = 2310

 

Calculation:

Unsold Keypad in City C = 30

Unsold Touchscreen in City A = 160

Percentage = (30 ÷ 160) × 100

= 0.1875 × 100

= 18.75%

Hence, the correct answer is 18.75%.

Question 86

Under a new scheme, a bank offers an interest of 20% per annum compounded annually. Suraj deposits Rs. 10,000 under this scheme and at the end, he receives Rs. 12000. What was the tenure of the scheme that Suraj had chosen?

  1. AOption (a)

    1 year

  2. BOption (b)

    2 years

  3. COption (c)

    3 years 

  4. DOption (d)

    4 years

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (a)A.

1 year

Why this answer is correct

Shortcut Trick

Rate = 20% p.a. ⇒ Multiplier = 1.20

Amount = Principal × (Multiplier)n

12000 = 10000 × (1.2)n ⇒ 1.2 = (1.2)n

Comparing powers, n = 1.

∴ The correct answer is 1 year.

Alternate Method

Given: Principal (P) = ₹10,000, Amount (A) = ₹12,000, Rate (R) = 20%

Formula Used: A = P(1 + R/100)n

⇒ 12000 = 10000(1 + 20/100)n

⇒ 12000/10000 = (1 + 1/5)n

⇒ 1.2 = (6/5)n

⇒ 1.2 = (1.2)n

⇒ n = 1

∴ The correct answer is 1 year.

Additional Information

Compound Interest Formula

The total amount A = P(1 + r/n)nt, where P is principal, r is annual interest rate, n is compounding frequency, and t is time.

Effective Rate for 1 Year

When compounded annually, the effective rate is the same as the nominal rate for the first year. CI = SI for the 1st year.

Half-yearly Compounding

Rate is halved (R/2) and time is doubled (2n) when interest is calculated semi-annually.

Question 87

The average weight of A, B and C is 50kg, the average weight of C, D and E is 70kg and the average weight of A, B and E is 53 (1/3)kg. The average weight of E and C is 65kg and B’s weight is 10kg less than C’s weight. Find the weight of A.

  1. AOption (a)

    48 kg

  2. BOption (b)

    40 kg

  3. COption (c)

    45 kg

  4. DOption (d)

    50 kg

  5. EOption (e)

    55 kg

View answer & explanation

Correct answer

Answer: (b)B.

40 kg

Why this answer is correct

Shortcut Trick

Total weight (A+B+C) = 50 × 3 = 150 kg

Total weight (C+D+E) = 70 × 3 = 210 kg

Total weight (A+B+E) = 53(1/3) × 3 = 160 kg

Total weight (E+C) = 65 × 2 = 130 kg

From (A+B+C) and (A+B+E): C − E = 150 − 160 = −10 ⇒ E − C = 10

Solve E + C = 130 and E − C = 10 ⇒ C = 60 kg, B = C − 10 = 50 kg, A = 150 − (50 + 60) = 40 kg

∴ The correct answer is 40 kg.

Alternate Method

Given: Average (A,B,C) = 50, Average (C,D,E) = 70, Average (A,B,E) = 160/3, Average (E,C) = 65, B = C − 10

⇒ A + B + C = 3 × 50 = 150 --- (Eq. 1)

⇒ A + B + E = 3 × 160/3 = 160 --- (Eq. 2)

⇒ E + C = 2 × 65 = 130 --- (Eq. 3)

⇒ Subtract (Eq. 1) from (Eq. 2): (A + B + E) − (A + B + C) = 160 − 150

⇒ E − C = 10 --- (Eq. 4)

⇒ Adding (Eq. 3) and (Eq. 4): 2E = 140 ⇒ E = 70 kg

⇒ Substituting E in (Eq. 3): 70 + C = 130 ⇒ C = 60 kg

⇒ Weight of B = C − 10 = 60 − 10 = 50 kg

⇒ Substituting B and C in (Eq. 1): A + 50 + 60 = 150

⇒ A + 110 = 150 ⇒ A = 40 kg

∴ The correct answer is 40 kg.

Additional Information

Average Formula

Average = (Sum of all observations) ÷ (Total number of observations). Sum = Average × Number of items.

Weighted Average

When two groups with averages A1 and A2 and sizes n1 and n2 are combined, the new average is (n1A1 + n2A2) ÷ (n1 + n2).

Net Deviation Method

The sum of deviations of all items from the actual average is always zero. This is used for faster calculation in complex average problems.

Question 88

What will come in the place of the question mark ‘?’ in the following question?

15 × √16 – 30% of 200 = 25% of 80 + ? × 20

  1. AOption (a)

    -1

  2. BOption (b)

    -4

  3. COption (c)

    -5

  4. DOption (d)

    0

  5. EOption (e)

    None of these.

View answer & explanation

Correct answer

Answer: (a)A.

-1

Why this answer is correct

Given:

15 × √16 – 30% of 200 = 25% of 80 + ? × 20

Concept used:

Follow the BODMAS rule according to the table given below:

Calculation:

15 × √16 – 30% of 200 = 25% of 80 + ? × 20

⇒ 15 × 4 – (30/100) × 200 = (25/100) × 80 + ? × 20

⇒ 60 - 60 = 20 + ? × 20

⇒ 0 - 20 = ? × 20

⇒ ? = -20/20 = -1

∴ The value of ? is -1

Question 89

What will come in the place of the question mark ‘?’ in the following question?

√1225 ÷ ∛343 × 45% of 760 = ? × 66.67% of 45

  1. AOption (a)

    70

  2. BOption (b)

    64

  3. COption (c)

    39

  4. DOption (d)

    57

  5. EOption (e)

    45

View answer & explanation

Correct answer

Answer: (d)D.

57

Why this answer is correct

Given:

√1225 ÷ ∛343 × 45% of 760 = ? × 66.67% of 45

Concept Used:

Follow BODMAS rule to solve this question, as per the order given below.

​

Calculation:

√1225 ÷ ∛343 × 45% of 760 = ? × 66.67% of 45

⇒ (35/7) × (45/100) × 760 = ? × (2/3) × 45

⇒ (35/7) × 342 = ? × 30

⇒ ? = 1710/30

⇒ ? = 57

∴ The value of (?) is 57.

Question 90

What will come in the place of the question mark ‘?’ in the following question?

60% of 320 + 50% of 190 - 57% of 350 = ?

  1. AOption (a)

    82.5

  2. BOption (b)

    62.5

  3. COption (c)

    87.5

  4. DOption (d)

    92.5

  5. EOption (e)

    77.5

View answer & explanation

Correct answer

Answer: (c)C.

87.5

Why this answer is correct

Given:

60% of 320 + 50% of 190 - 57% of 350 = ?

Concept Used:

​

Calculation:

60% of 320 + 50% of 190 - 57% of 350 = ?

⇒ 192 + 95 - 199.5

⇒ ? = 87.5

∴ The value of (?) is 87.5

Question 91

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

165 ÷ 15 × 13 + (2/7) of 91 - ? = 50% of 320

  1. AOption (a)

    5

  2. BOption (b)

    6

  3. COption (c)

    7

  4. DOption (d)

    8

  5. EOption (e)

    9

View answer & explanation

Correct answer

Answer: (e)E.

9

Why this answer is correct

Given:

165 ÷ 15 × 13 + (2/7) of 91 - ? = 50% of 320

Concept used:

Follow the BODMAS rule according to the table given below:

Calculation:

165 ÷ 15 × 13 + (2/7) of 91 - ? = 50% of 320

⇒ 143 + (2/7) × 91 - ? = (50/100) × 320

⇒ 143 + 26 - ? = 1/2 × 320

⇒ 143 + 26 - ? = 160

⇒ 169 - ? = 160

⇒ ? = 9

∴ 9 should come in place of the question mark (?).

Question 92

What will come in the place of the question mark ‘?’ in the following question?

45% of 300 – (?)2 = 56% of 75 – 10% of 510

  1. AOption (a)

    18

  2. BOption (b)

    14

  3. COption (c)

    16

  4. DOption (d)

    12

  5. EOption (e)

    19

View answer & explanation

Correct answer

Answer: (d)D.

12

Why this answer is correct

Given:

45% of 300 – (?)2 = 56% of 75 – 10% of 510

Concept Used:

​

Calculation:

45% of 300 – (?)2 = 56% of 75 – 10% of 510

⇒ 45 × 3 – (?)2 = 14 × 3 – 51

⇒ ?2 = (45 × 3) + 51 – (14 × 3)

⇒ ? = √144

⇒ ? = 12

∴ The value of (?) is 12.

Question 93

Three friends started a business that offers them a profit of 25% of their total initial investment. They can’t withdraw their investments until the end of their business. Find the amount invested (in Rs) by Ajay if he invested Rs. 4,000 more than Rishi while Rishi and Samar invested the same amount, and Ajay got a profit share of Rs. 5000.

  1. AOption (a)

    Rs. 22000

  2. BOption (b)

    Rs. 20000

  3. COption (c)

    Rs. 25000

  4. DOption (d)

    Rs. 35000

  5. EOption (e)

    Rs. 15000

View answer & explanation

Correct answer

Answer: (b)B.

Rs. 20000

Why this answer is correct

Shortcut Trick

Since Profit % is same for all, Profit ratio is equal to Investment ratio.

Ajay Profit = 5000 ⇒ Ajay Investment × 25% = 5000.

Ajay Investment = 5000 ÷ 0.25 = 20000.

∴ The correct answer is Rs. 20000.

Alternate Method

Given: Profit % = 25%, Ajay Profit = Rs. 5000, Ajay Investment = Rishi + 4000, Rishi Investment = Samar Investment.

Formulas: Profit = Investment × Profit Percentage | Total Profit = ∑ Individual Profits.

Step 1: Let Ajay's Investment be Rs. A.

Step 2: Ajay's Profit = 25% of Ajay's Investment.

Step 3: 5000 = (25 ÷ 100) × A.

Step 4: A = (5000 × 100) ÷ 25.

Step 5: A = 5000 × 4 = 20000.

∴ The correct answer is Rs. 20000.

Additional Information

Partnership Profit Distribution

When the time period is same for all partners, the Profit is distributed in the ratio of their Initial Investments.

Investment Calculation

Individual Investment = Individual Profit ÷ Rate of Profit. In this case, Rishi and Samar's investments are (20000 − 4000) = 16000 each.

Question 94

The efficiency of radha is 50% more than that of shyam. Total work is 240 units.

Quantity I: Find the number of days radha alone will take to complete 200% of the work?

Quantity II: Find the number of days radha and shyam together will take to complete 50% of the work?

  1. AOption (a)

    Quantity 1 > Quantity 2

  2. BOption (b)

    Quantity 1 ≥ Quantity 2

  3. COption (c)

    Quantity 1 < Quantity 2

  4. DOption (d)

    Quantity 1 ≤ Quantity 2

  5. EOption (e)

    Quantity 1 = Quantity 2

View answer & explanation

Correct answer

Answer: (a)A.

Quantity 1 > Quantity 2

Why this answer is correct

Shortcut Trick Efficiency ratio Radha : Shyam = 150 : 100 = 3 : 2. Quantity I: Work = 200% of 240 = 480 units. Time = 480 ÷ 3 = 160 days. Quantity II: Work = 50% of 240 = 120 units. Combined Efficiency = 3 + 2 = 5. Time = 120 ÷ 5 = 24 days. Clearly, 160 days > 24 days, so Quantity I > Quantity II. ∴ The correct answer is Quantity 1 > Quantity 2. Alternate Method Given: Total work = 240 units. Efficiency of Radha is 50% more than Shyam. Formula Used: Time = Total Work ÷ Efficiency

Person Efficiency Calculation Efficiency Value

Shyam Assume base efficiency 2 units/day

Radha 2 × 150% 3 units/day

Step 1: Calculate Quantity I ⇒ Target work = 240 × 200% = 480 units ⇒ Time taken by Radha = 480 ÷ 3 ⇒ Quantity I = 160 days Step 2: Calculate Quantity II ⇒ Target work = 240 × 50% = 120 units ⇒ Combined efficiency (Radha + Shyam) = 3 + 2 = 5 units/day ⇒ Time taken together = 120 ÷ 5 ⇒ Quantity II = 24 days ⇒ Comparison: 160 > 24 ∴ The correct answer is Quantity 1 > Quantity 2. Additional Information Work and Efficiency Relation Efficiency is inversely proportional to time taken when work is constant. If efficiency ratio is a:b, time ratio is b:a. Percentage in Work Work done is directly proportional to the percentage of total units assigned. 200% work means doubling the initial units. Combined Efficiency When two or more people work together, their individual efficiencies (work done per day) are added to find the total rate of work.

Question 95

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

A train of some length travelling at the speed of 108 km per hour can cross a pole on a platform in 25 seconds but at the speed of 90 km per hour it can cross a platform of x meters long in 40 seconds. 

Quantity I: What is the length of the train? 

Quantity II: What is the length of the platform?

  1. AOption (a)

    Quantity 1 > Quantity 2

  2. BOption (b)

    Quantity 1 ≥ Quantity 2

  3. COption (c)

    Quantity 1 < Quantity 2

  4. DOption (d)

    Quantity 1 ≤ Quantity 2

  5. EOption (e)

    Quantity 1 = Quantity 2

View answer & explanation

Correct answer

Answer: (a)A.

Quantity 1 > Quantity 2

Why this answer is correct

Shortcut Trick Quantity I: Speed = 108 kmph = 108 × (5/18) = 30 m/s. Length = Speed × Time = 30 × 25 = 750 m. Quantity II: Speed = 90 kmph = 90 × (5/18) = 25 m/s. Total distance = 25 × 40 = 1000 m. Platform (x) = Total Distance − Train Length = 1000 − 750 = 250 m. Comparing 750 m and 250 m, Quantity I > Quantity II. ∴ The correct answer is Quantity 1 > Quantity 2. Alternate Method Given: Speed1 = 108 kmph, Time1 = 25 s, Speed2 = 90 kmph, Time2 = 40 s. Formula Used: Distance = Speed × Time; kmph to m/s conversion = × 5/18.

Quantity I (Train Length): ⇒ Speed in m/s = 108 × (5/18) = 30 m/s ⇒ Length of Train (L) = Speed × Time = 30 × 25 ⇒ L = 750 m Quantity II (Platform Length x): ⇒ Speed in m/s = 90 × (5/18) = 25 m/s ⇒ Total Distance = Speed × Time = 25 × 40 = 1000 m ⇒ Platform length (x) = 1000 − Train Length = 1000 − 750 ⇒ x = 250 m ⇒ Comparison: 750 m > 250 m ∴ The correct answer is Quantity 1 > Quantity 2. Additional Information Relative Speed When two objects move in the same direction, relative speed is the difference (S1 − S2); in opposite directions, it is the sum (S1 + S2). Crossing Stationary Objects To cross a pole or point object, distance = train length. To cross a platform or bridge, distance = train length + object length. Unit Conversion Convert km/h to m/s by multiplying by 5/18. Convert m/s to km/h by multiplying by 18/5.

Question 96

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.

Ratio of the age of Y and Z is 2 : 3. Present age of Y is 34 Years.

Quantity I: What is age of X, if X is 2 years older then Z?

Quantity II: What will be age of Z if ratio changes to 17 : 10?

  1. AOption (a)

    Quantity 1 > Quantity 2

  2. BOption (b)

    Quantity 1 ≥ Quantity 2

  3. COption (c)

    Quantity 1 < Quantity 2

  4. DOption (d)

    Quantity 1 ≤ Quantity 2

  5. EOption (e)

    Quantity 1 = Quantity 2

View answer & explanation

Correct answer

Answer: (a)A.

Quantity 1 > Quantity 2

Why this answer is correct

Shortcut Trick Quantity I: Age of Y = 2 units = 34 years ⇒ 1 unit = 17 years. Age of Z = 3 units = 51 years. Age of X = 51 + 2 = 53 years. Quantity II: Current age of Z is 51 years. If the ratio changes to 17 : 10, the problem implies finding the new age of Z. Assuming Y stays constant (34 years), Z would become 20 years. Comparing both: 53 years > 20 years. ∴ The correct answer is Quantity I > Quantity II. Alternate Method Given: Ratio of age Y : Z = 2 : 3. Present age of Y = 34 years.

Calculations for Quantity I: ⇒ Age of Y = 2k = 34 ⇒ k = 17 ⇒ Age of Z = 3k = 3 × 17 = 51 years ⇒ Age of X = Z + 2 = 51 + 2 = 53 years Calculations for Quantity II: ⇒ New ratio Y : Z = 17 : 10 ⇒ Since Y is 34, then 17 units = 34 ⇒ 1 unit = 2 ⇒ Age of Z = 10 × 2 = 20 years ⇒ 53 > 20 ∴ The correct answer is Quantity I > Quantity II. Additional Information Ratio and Proportion in Ages When the age of one person is fixed, the ages of others in a ratio are calculated using a common multiplier (k). If A:B = x:y and A is known, then B = (Value of A ÷ x) × y. Comparison of Quantities In banking exams, Quantity Comparison involves solving two independent math problems and establishing the mathematical relationship (>, <, =, ≤, ≥) between their results.

Question 97

Prize money of Rs. 10,000 was distributed among 2 girls and one boy.

Quantity I: Ratio of prize money distributed among girl1, girls 2 and boy is 7 : 7 : 6. What is prize amount earned by boy?

Quantity II: What is prize share of boy. IF boy earns Rs. 500 less than both girls who earns equal amount

  1. AOption (a)

    Quantity 1 > Quantity 2

  2. BOption (b)

    Quantity 1 ≥ Quantity 2

  3. COption (c)

    Quantity 1 < Quantity 2

  4. DOption (d)

    Quantity 1 ≤ Quantity 2

  5. EOption (e)

    Quantity 1 = Quantity 2

View answer & explanation

Correct answer

Answer: (e)E.

Quantity 1 = Quantity 2

Why this answer is correct

Shortcut Trick

Quantity I: Total ratio = 7 + 7 + 6 = 20 units. 20 units = ₹10,000 → 1 unit = ₹500. Boy share (6 units) = 6 × 500 = ₹3,000.

Quantity II: Let Boy = x, then each Girl = x + 500. Total: (x + 500) + (x + 500) + x = 10,000 → 3x + 1000 = 10,000 → 3x = 9,000 → x = ₹3,000.

Comparing both: ₹3,000 = ₹3,000.

∴ The correct answer is Quantity 1 = Quantity 2.

Alternate Method

Given: Total Prize Money = ₹10,000. Distribution among Girl 1, Girl 2, and Boy.

Quantity I Calculation:

⇒ Ratio of Girl 1 : Girl 2 : Boy = 7 : 7 : 6

⇒ Sum of ratios = 7 + 7 + 6 = 20

⇒ Share of Boy = (6 ÷ 20) × 10,000

⇒ Share of Boy = 6 × 500 = ₹3,000

Quantity II Calculation:

⇒ Let Boy share be ₹x. Girls share = ₹(x + 500) each.

⇒ (x + 500) + (x + 500) + x = 10,000

⇒ 3x + 1,000 = 10,000

⇒ 3x = 9,000

⇒ x = ₹3,000

Conclusion:

⇒ Quantity I = ₹3,000 and Quantity II = ₹3,000

∴ The correct answer is Quantity 1 = Quantity 2.

Additional Information

Ratio and Proportion

To divide a quantity A in the ratio a:b:c, the shares are [a/(a+b+c)]×A, [b/(a+b+c)]×A, and [c/(a+b+c)]×A.

Linear Equations

When values are compared using more than or less than, setting the smallest value as 'x' usually simplifies the equation.

Comparison of Quantities

Always ensure both quantities are in the same units (₹ in this case) before comparing for equality or inequality.

Question 98

In a pouch there are 5 orange, 3 brown, and 4 red balls. 3 balls are picked at random?

Quantity I: The probability that 2 balls are brown in color and 1 ball is red in color.

Quantity II: The probability that all balls are orange in color.

  1. AOption (a)

    Quantity I < Quantity II

  2. BOption (b)

    Quantity I = Quantity II

  3. COption (c)

    Quantity I > Quantity II

  4. DOption (d)

    Quantity I ≥ Quantity II

  5. EOption (e)

    Quantity I ≤ Quantity II

View answer & explanation

Correct answer

Answer: (c)C.

Quantity I > Quantity II

Why this answer is correct

Shortcut Trick Total balls = 5 (O) + 3 (B) + 4 (R) = 12. Total ways to pick 3 balls = 12C3. Quantity I: Picking 2 Brown and 1 Red → 3C2 × 4C1 = 3 × 4 = 12 ways. Quantity II: Picking 3 Orange → 5C3 = 10 ways. Since the denominator (12C3) is same, compare numerators: 12 > 10. ∴ The correct answer is Quantity I > Quantity II. Alternate Method Given: Orange = 5, Brown = 3, Red = 4. Total = 12. Samples = 3. Formula Used: Probability P(E) = n(E) ÷ n(S); nCr = n! ÷ [r!(n−r)!]

⇒ n(S) = 12C3 = (12 × 11 × 10) ÷ (3 × 2 × 1) = 220 ⇒ Quantity I: n(E1) = 3C2 × 4C1 = 3 × 4 = 12 ⇒ P(Quantity I) = 12 ÷ 220 ⇒ Quantity II: n(E2) = 5C3 = (5 × 4) ÷ (2 × 1) = 10 ⇒ P(Quantity II) = 10 ÷ 220 ⇒ 12/220 > 10/220 ∴ Quantity I > Quantity II ∴ The correct answer is Quantity I > Quantity II. Additional Information Combination Formula Used for selection where order does not matter: nCr = n! / [r!(n−r)!]. Note that nCr = nCn−r. Probability of Compound Events When multiple independent selections are made, use the product of individual combinations for specific color requirements divided by total possible combinations.

Question 99

Sonia’s income is 4 times the income of Ranjeet. Ram's expenditure is equal to 200 % of Ranjeet's income. If Ram's income is Rs.80,000. Ram's saving is 20,000 more than Sonia’s income. Find the ratio of income of Sonia, Ranjeet, and Ram

  1. AOption (a)

    4 : 1 : 8

  2. BOption (b)

    2 : 4 : 7

  3. COption (c)

    3 : 5 : 9

  4. DOption (d)

    1 : 5 : 6

  5. EOption (e)

    2 : 7 : 9

View answer & explanation

Correct answer

Answer: (a)A.

4 : 1 : 8

Why this answer is correct

Shortcut Trick

Let Ranjeet's income be x.

Sonia's income = 4x.

Ram's savings = Income − Expenditure = 80,000 − 200% of x = 80,000 − 2x.

Given: 80,000 − 2x = 4x + 20,000 ⇒ 60,000 = 6x ⇒ x = 10,000.

Income Ratio = 4x : x : 80,000 = 40,000 : 10,000 : 80,000 = 4 : 1 : 8.

∴ The correct answer is 4 : 1 : 8.

Alternate Method

Given: Ram's income = ₹80,000. Let Ranjeet's income = R.

Formula: Income = Expenditure + Savings

⇒ Sonia's income = 4 × R

⇒ Ram's expenditure = 200% of R = 2R

⇒ Ram's saving = 80,000 − 2R

⇒ According to question: 80,000 − 2R = 4R + 20,000

⇒ 60,000 = 6R

⇒ R = 10,000

⇒ Sonia's income = 4 × 10,000 = 40,000

⇒ Ratio = 40,000 : 10,000 : 80,000

⇒ Ratio = 4 : 1 : 8

∴ The correct answer is 4 : 1 : 8.

Additional Information

Income and Expenditure Relation

Income − Savings = Expenditure. Percentage increases or decreases are always calculated on the base value provided.

Ratio Scaling

Ratios can be simplified by dividing all terms by their Greatest Common Divisor (GCD) to reach the simplest form.

Question 100

A dealer marks a price on goods such that after allowing a discount of 70% for cash, he still make a profit of 20% on goods. Find the marked price of on good which cost him Rs. 145.

  1. AOption (a)

    Rs. 580

  2. BOption (b)

    Rs. 230

  3. COption (c)

    Rs. 480

  4. DOption (d)

    Rs. 350

  5. EOption (e)

    Rs. 100

View answer & explanation

Correct answer

Answer: (a)A.

Rs. 580

Why this answer is correct

Shortcut Trick

Use the direct relationship formula: CP ÷ MP = (100 − D%) ÷ (100 + P%).

CP ÷ MP = (100 − 70) ÷ (100 + 20) = 30 ÷ 120 = 1 ÷ 4.

Given Cost Price (CP) = Rs. 145, which represents 1 unit.

Therefore, Marked Price (MP) = 4 × 145 = Rs. 580.

∴ The correct answer is Rs. 580.

Alternate Method

Given: CP = Rs. 145, Profit% = 20%, Discount% = 70%.

Formulas: SP = CP × (100 + P%) ÷ 100 | MP = SP × 100 ÷ (100 − D%)

⇒ Step 1: Calculate Selling Price (SP) = 145 × (120 ÷ 100) = 145 × 1.2 = Rs. 174.

⇒ Step 2: Calculate Marked Price (MP) using SP and Discount%.

⇒ MP × (100 − 70) ÷ 100 = 174.

⇒ MP × 30 ÷ 100 = 174 ⇒ MP = (174 × 100) ÷ 30 = 17400 ÷ 30 = 580.

∴ The correct answer is Rs. 580.

Additional Information

Marked Price and Discount

Marked Price (MP) is the price printed on an article. Discount is always calculated on the MP to arrive at the Selling Price (SP). Formula: SP = MP − Discount.

Profit on Cost Price

Profit is always calculated on the Cost Price (CP) unless stated otherwise. Formula: SP = CP + Profit.

100 questions in the full paper