Official Paper

IBPS PO Prelims Memory Based Paper (Held On: 24 August 2025 Shift 2) (Previous Year Paper)

100 questions · 60 minutes · with answers · free

Reasoning Ability (35 questions)

Directions: Read the information and answer the given questions.

Nine individuals, A, C, L, M, N, Q, T, V, and W, are employed in three different departments: Research, Logistics, and Finance, but not necessarily in the same order. Each department has at least two but not more than four people.

N works only with M. V does not work in the Finance department. Both W and A work in the same department but not with V. L and C are in the same department. T does not work in the Research department. Not more than three people can work in the Research department. A does not work in the Finance department. C does not work in the same department as T. Q does not work in the same department as L.

1

Which of the following persons definitely works with L?

  1. ((a))

    A

  2. ((b))

    N

  3. ((c))

    V

  4. ((d))

    Q

  5. ((e))

    W

Show Answer
Answer: ((c))

V

Given: Nine individuals, A, C, L, M, N, Q, T, V, and W, are employed in three different departments: Research, Logistics, and Finance, but not necessarily in the same order. Each department has at least two but not more than four people.

  1. A does not work in the Finance department.  2. Both W and A work in the same department, but not with V. 

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

DepartmentsPersons
Case 1Case 2
ResearchW, A
LogisticsW, A
Finance

 

3. T does not work in the Research department. 

Here, we have subcases of Case 1 and Case 2.

DepartmentsPersons
Case 1Case 1aCase 2Case 2a
ResearchW, AW, A
LogisticsTW, A, TW, A
FinanceTT

 

4. N works only with M. 

Here, we have a subcase of Case 2, i.e., Case 2 (i).

DepartmentsPersons
Case 1Case 1aCase 2Case 2 (i)Case 2a
ResearchW, AW, AN, MN, M
LogisticsTN, MW, A, TW, A, TW, A
FinanceN, MTN, MT

 

5. L and C are in the same department.  6. C does not work in the same department as T. 

DepartmentsPersons
Case 1Case 1aCase 2Case 2 (i)Case 2a
ResearchW, A, L, CW, A, L, CL, CN, MN, M
LogisticsTN, MW, A, TW, A, TW, A, L, C
FinanceN, MTN, ML, CT

 

7. Not more than three people can work in the Research department. 

Now, we can eliminate Case 1 and Case 1a.

DepartmentsPersons
Case 2Case 2 (i)Case 2a
ResearchL, CN, MN, M
LogisticsW, A, TW, A, TW, A, L, C
FinanceN, ML, CT

 

8. Q does not work in the same department as L.

DepartmentsPersons
Case 2Case 2 (i)Case 2a
ResearchL, CN, MN, M
LogisticsW, A, T, QW, A, T, QW, A, L, C
FinanceN, ML, CT, Q

 

  1. V does not work in the Finance department.  10. Each department has at least two but not more than four people.

Now, we can eliminate Case 2 (i) and Case 2a.

This is our final arrangement,

DepartmentsPersons
Case 2
ResearchL, C, V
LogisticsW, A, T, Q
FinanceN, M

 

Hence, the correct answer is V.

2

Which department does N belong to?

  1. ((a))

    Research

  2. ((b))

    Logistics

  3. ((c))

    Finance

  4. ((d))

    Either Research or Logistics

  5. ((e))

    Cannot be determined

Show Answer
Answer: ((c))

Finance

Given: Nine individuals, A, C, L, M, N, Q, T, V, and W, are employed in three different departments: Research, Logistics, and Finance, but not necessarily in the same order. Each department has at least two but not more than four people.

  1. A does not work in the Finance department. 
  2. Both W and A work in the same department, but not with V. 

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

DepartmentsPersons
Case 1Case 2
ResearchW, A
LogisticsW, A
Finance

 

  1. T does not work in the Research department. 

Here, we have subcases of Case 1 and Case 2.

DepartmentsPersons
Case 1Case 1aCase 2Case 2a
ResearchW, AW, A
LogisticsTW, A, TW, A
FinanceTT

 

  1. N works only with M. 

Here, we have a subcase of Case 2, i.e., Case 2 (i).

DepartmentsPersons
Case 1Case 1aCase 2Case 2 (i)Case 2a
ResearchW, AW, AN, MN, M
LogisticsTN, MW, A, TW, A, TW, A
FinanceN, MTN, MT

 

  1. L and C are in the same department. 
  2. C does not work in the same department as T. 
DepartmentsPersons
Case 1Case 1aCase 2Case 2 (i)Case 2a
ResearchW, A, L, CW, A, L, CL, CN, MN, M
LogisticsTN, MW, A, TW, A, TW, A, L, C
FinanceN, MTN, ML, CT

 

  1. Not more than three people can work in the Research department. 

Now, we can eliminate Case 1 and Case 1a.

DepartmentsPersons
Case 2Case 2 (i)Case 2a
ResearchL, CN, MN, M
LogisticsW, A, TW, A, TW, A, L, C
FinanceN, ML, CT

 

  1. Q does not work in the same department as L.
DepartmentsPersons
Case 2Case 2 (i)Case 2a
ResearchL, CN, MN, M
LogisticsW, A, T, QW, A, T, QW, A, L, C
FinanceN, ML, CT, Q

 

  1. V does not work in the Finance department. 
  2. Each department has at least two but not more than four people.

Now, we can eliminate Case 2 (i) and Case 2a.

This is our final arrangement,

DepartmentsPersons
Case 2
ResearchL, C, V
LogisticsW, A, T, Q
FinanceN, M

 

Hence, the correct answer is Finance.

3

Which pair works in the Logistics department?

  1. ((a))

    Q and L

  2. ((b))

    C and T

  3. ((c))

    W and T

  4. ((d))

    V and A

  5. ((e))

    T and M

Show Answer
Answer: ((c))

W and T

Given: Nine individuals, A, C, L, M, N, Q, T, V, and W, are employed in three different departments: Research, Logistics, and Finance, but not necessarily in the same order. Each department has at least two but not more than four people.

  1. A does not work in the Finance department. 
  2. Both W and A work in the same department, but not with V. 

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

DepartmentsPersons
Case 1Case 2
ResearchW, A
LogisticsW, A
Finance

 

  1. T does not work in the Research department. 

Here, we have subcases of Case 1 and Case 2.

DepartmentsPersons
Case 1Case 1aCase 2Case 2a
ResearchW, AW, A
LogisticsTW, A, TW, A
FinanceTT

 

  1. N works only with M. 

Here, we have a subcase of Case 2, i.e., Case 2 (i).

DepartmentsPersons
Case 1Case 1aCase 2Case 2 (i)Case 2a
ResearchW, AW, AN, MN, M
LogisticsTN, MW, A, TW, A, TW, A
FinanceN, MTN, MT

 

  1. L and C are in the same department. 
  2. C does not work in the same department as T. 
DepartmentsPersons
Case 1Case 1aCase 2Case 2 (i)Case 2a
ResearchW, A, L, CW, A, L, CL, CN, MN, M
LogisticsTN, MW, A, TW, A, TW, A, L, C
FinanceN, MTN, ML, CT

 

  1. Not more than three people can work in the Research department. 

Now, we can eliminate Case 1 and Case 1a.

DepartmentsPersons
Case 2Case 2 (i)Case 2a
ResearchL, CN, MN, M
LogisticsW, A, TW, A, TW, A, L, C
FinanceN, ML, CT

 

  1. Q does not work in the same department as L.
DepartmentsPersons
Case 2Case 2 (i)Case 2a
ResearchL, CN, MN, M
LogisticsW, A, T, QW, A, T, QW, A, L, C
FinanceN, ML, CT, Q

 

  1. V does not work in the Finance department. 
  2. Each department has at least two but not more than four people.

Now, we can eliminate Case 2 (i) and Case 2a.

This is our final arrangement,

DepartmentsPersons
Case 2
ResearchL, C, V
LogisticsW, A, T, Q
FinanceN, M

 

Hence, the correct answer is W and T.

4

What is the sum of the number of people that work in the Research and Logistics department?

  1. ((a))

    Four

  2. ((b))

    Five

  3. ((c))

    Six

  4. ((d))

    More than Six

  5. ((e))

    Cannot be determined

Show Answer
Answer: ((d))

More than Six

Given: Nine individuals, A, C, L, M, N, Q, T, V, and W, are employed in three different departments: Research, Logistics, and Finance, but not necessarily in the same order. Each department has at least two but not more than four people.

  1. A does not work in the Finance department. 
  2. Both W and A work in the same department, but not with V. 

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

DepartmentsPersons
Case 1Case 2
ResearchW, A
LogisticsW, A
Finance

 

  1. T does not work in the Research department. 

Here, we have subcases of Case 1 and Case 2.

DepartmentsPersons
Case 1Case 1aCase 2Case 2a
ResearchW, AW, A
LogisticsTW, A, TW, A
FinanceTT

 

  1. N works only with M. 

Here, we have a subcase of Case 2, i.e., Case 2 (i).

DepartmentsPersons
Case 1Case 1aCase 2Case 2 (i)Case 2a
ResearchW, AW, AN, MN, M
LogisticsTN, MW, A, TW, A, TW, A
FinanceN, MTN, MT

 

  1. L and C are in the same department. 
  2. C does not work in the same department as T. 
DepartmentsPersons
Case 1Case 1aCase 2Case 2 (i)Case 2a
ResearchW, A, L, CW, A, L, CL, CN, MN, M
LogisticsTN, MW, A, TW, A, TW, A, L, C
FinanceN, MTN, ML, CT

 

  1. Not more than three people can work in the Research department. 

Now, we can eliminate Case 1 and Case 1a.

DepartmentsPersons
Case 2Case 2 (i)Case 2a
ResearchL, CN, MN, M
LogisticsW, A, TW, A, TW, A, L, C
FinanceN, ML, CT

 

  1. Q does not work in the same department as L.
DepartmentsPersons
Case 2Case 2 (i)Case 2a
ResearchL, CN, MN, M
LogisticsW, A, T, QW, A, T, QW, A, L, C
FinanceN, ML, CT, Q

 

  1. V does not work in the Finance department. 
  2. Each department has at least two but not more than four people.

Now, we can eliminate Case 2 (i) and Case 2a.

This is our final arrangement,

DepartmentsPersons
Case 2
ResearchL, C, V
LogisticsW, A, T, Q
FinanceN, M

 

Sum of the people = 4 + 3 = 7

Hence, the correct answer is More than six.

5

Which one is odd?

  1. ((a))

    W

  2. ((b))

    A

  3. ((c))

    T

  4. ((d))

    V

  5. ((e))

    Q

Show Answer
Answer: ((d))

V

Given: Nine individuals, A, C, L, M, N, Q, T, V, and W, are employed in three different departments: Research, Logistics, and Finance, but not necessarily in the same order. Each department has at least two but not more than four people.

  1. A does not work in the Finance department. 
  2. Both W and A work in the same department, but not with V. 

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

DepartmentsPersons
Case 1Case 2
ResearchW, A
LogisticsW, A
Finance

 

  1. T does not work in the Research department. 

Here, we have subcases of Case 1 and Case 2.

DepartmentsPersons
Case 1Case 1aCase 2Case 2a
ResearchW, AW, A
LogisticsTW, A, TW, A
FinanceTT

 

  1. N works only with M. 

Here, we have a subcase of Case 2, i.e., Case 2 (i).

DepartmentsPersons
Case 1Case 1aCase 2Case 2 (i)Case 2a
ResearchW, AW, AN, MN, M
LogisticsTN, MW, A, TW, A, TW, A
FinanceN, MTN, MT

 

  1. L and C are in the same department. 
  2. C does not work in the same department as T. 
DepartmentsPersons
Case 1Case 1aCase 2Case 2 (i)Case 2a
ResearchW, A, L, CW, A, L, CL, CN, MN, M
LogisticsTN, MW, A, TW, A, TW, A, L, C
FinanceN, MTN, ML, CT

 

  1. Not more than three people can work in the Research department. 

Now, we can eliminate Case 1 and Case 1a.

DepartmentsPersons
Case 2Case 2 (i)Case 2a
ResearchL, CN, MN, M
LogisticsW, A, TW, A, TW, A, L, C
FinanceN, ML, CT

 

  1. Q does not work in the same department as L.
DepartmentsPersons
Case 2Case 2 (i)Case 2a
ResearchL, CN, MN, M
LogisticsW, A, T, QW, A, T, QW, A, L, C
FinanceN, ML, CT, Q

 

  1. V does not work in the Finance department. 
  2. Each department has at least two but not more than four people.

Now, we can eliminate Case 2 (i) and Case 2a.

This is our final arrangement,

DepartmentsPersons
Case 2
ResearchL, C, V
LogisticsW, A, T, Q
FinanceN, M

 

Except for V, all others work in the same department.

Hence, the correct answer is V.

Directions: Read the information and answer the given questions.

Anika starts from point R and travels 25 km towards the North. Then she turns right and travels 20 km. After that, she again turns right and travels 35 km, reaching point Q. From point Q, she moves east for 40 km and reaches point Z. From there, she takes a left turn and travels 30 km to reach point K. Finally, from point K, she turns left again and travels 50 km to reach her final point M.

6

In which direction is point M with respect to the starting point R?

  1. ((a))

    North-East

  2. ((b))

    South-East

  3. ((c))

    South-West

  4. ((d))

    North-West

  5. ((e))

    East

Show Answer
Answer: ((a))

North-East

Given: Anika starts from point R.

1. Anika starts from point R and travels 25 km towards the North. 2. Then she turns right and travels 20 km. 3. After that, she again turns right and travels 35 km, reaching point Q. 4. From point Q, she moves east for 40 km and reaches point Z.

  1. From there, she takes a left turn and travels 30 km to reach point K.
  2. Finally, from point K, she turns left again and travels 50 km to reach her final point M.

This is our final arrangement,

Hence, the correct answer is North-East.

7

What is the distance between point R to point Q?

  1. ((a))

    60 km

  2. ((b))

    65 km

  3. ((c))

    70 km

  4. ((d))

    75 km

  5. ((e))

    80 km

Show Answer
Answer: ((e))

80 km

Given: Anika starts from point R.

  1. Anika starts from point R and travels 25 km towards the North.
  2. Then she turns right and travels 20 km.
  3. After that, she again turns right and travels 35 km, reaching point Q.
  4. From point Q, she moves east for 40 km and reaches point Z.

  1. From there, she takes a left turn and travels 30 km to reach point K.
  2. Finally, from point K, she turns left again and travels 50 km to reach her final point M.

This is our final arrangement,

Distance = 25 + 20 + 35 = 80 km.

Hence, the correct answer is 80 km.

8

Point K is in which direction with respect to point Q?

  1. ((a))

    North

  2. ((b))

    South

  3. ((c))

    East

  4. ((d))

    West

  5. ((e))

    North-East

Show Answer
Answer: ((e))

North-East

Given: Anika starts from point R.

  1. Anika starts from point R and travels 25 km towards the North.
  2. Then she turns right and travels 20 km.
  3. After that, she again turns right and travels 35 km, reaching point Q.
  4. From point Q, she moves east for 40 km and reaches point Z.

  1. From there, she takes a left turn and travels 30 km to reach point K.
  2. Finally, from point K, she turns left again and travels 50 km to reach her final point M.

This is our final arrangement,

Hence, the correct answer is North-East.

9

Directions: In each of the following questions, a statement is given, followed by two conclusions. Assume the statements to be true and decide which of the conclusions logically follows.

Statements: A ≥ D < H, M > R = A

Conclusions:

I. R ≥ H

II. M > D

  1. ((a))

    Only conclusion I follows

  2. ((b))

    Only conclusion II follows

  3. ((c))

    Either conclusion I or II follows

  4. ((d))

    Neither conclusion I nor II follows

  5. ((e))

    Both conclusions I and II follow

Show Answer
Answer: ((b))

Only conclusion II follows

Statements: A ≥ D < H, M > R = A

After combining,

M > R = A ≥ D < H

Conclusions:

I. R ≥ H: False (R = A ≥ D < H; opposite signs between the elements)

II. M > D: True (M > R = A ≥ D; M > D)

Hence, the correct answer is Only conclusion II follows.

10

Directions: In each of the following questions, a statement is given, followed by two conclusions. Assume the statements to be true and decide which of the conclusions logically follow

Statements: Z ≥ B ≥ F > L > C; F ≥ T = U; L > E ≥ G

Conclusions:

I. Z > G

II. B ≥ E

  1. ((a))

    Only conclusion I follows

  2. ((b))

    Only conclusion II follows

  3. ((c))

    Either conclusion I or II follows

  4. ((d))

    Neither conclusion I nor II follows

  5. ((e))

    Both conclusions I and II follow

Show Answer
Answer: ((a))

Only conclusion I follows

Statements: Z ≥ B ≥ F > L > C; F ≥ T = U; L > E ≥ G

Conclusions:

I. Z > G: True (Z ≥ B ≥ F > L > E ≥ G; Z > G)

II. B ≥ E: False (B ≥ F > L > E; B > E)

Hence, the correct answer is Only conclusion I follows.

11

Directions: In each of the following questions, a statement is given, followed by two conclusions. Assume the statements to be true and decide which of the conclusions logically follow

Statements: P < K = N < S; V > X ≥ S < J; Q < Y < X

Conclusions:

I. P < V

II. Q < N

  1. ((a))

    Only conclusion I follows

  2. ((b))

    Only conclusion II follows

  3. ((c))

    Either conclusion I or II follows

  4. ((d))

    Neither conclusion I nor II follows

  5. ((e))

    Both conclusions I and II follow

Show Answer
Answer: ((a))

Only conclusion I follows

Statements: P < K = N < S; V > X ≥ S < J; Q < Y < X

Conclusions:

I. P < V: True (P < K = N < S ≤ X < V; P < V)

II. Q < N: False (N < S ≤ X > Y > Q; opposite signs between the elements)

Hence, the correct answer is Only conclusion I follows.

Directions: Read the information and answer the given questions.

Six individuals, B, E, H, L, P, and Y, enjoy different countries’ foods: Pizza, Sushi, Burger, Pasta, Tacos, and Noodles, on six different days from Monday to Saturday, not necessarily in the same order.

P enjoys food immediately after H, but neither of them enjoys Pasta nor Pizza. There is a gap of one day between B and H, and one of them enjoys Burger. E enjoys food immediately before B, and E does not enjoy Pasta or Pizza. H enjoys food after B. The person who enjoys food immediately after L likes Sushi. Neither L nor H enjoys Pizza. Y enjoys Tacos after B, but not on the last day.

12

Who enjoys Pasta?

  1. ((a))

    B

  2. ((b))

    E

  3. ((c))

    H

  4. ((d))

    L

  5. ((e))

    P

Show Answer
Answer: ((d))

L

Given: Six individuals, B, E, H, L, P, and Y, enjoy different countries’ foods: Pizza, Sushi, Burger, Pasta, Tacos, and Noodles, on six different days from Monday to Saturday, not necessarily in the same order.

  1. There is a gap of one day between B and H, and one of them enjoys Burger.  2. H enjoys food after B.  3. E enjoys food immediately before B, and E does not enjoy Pasta or Pizza.  4. P enjoys food immediately after H, but neither of them enjoys Pasta nor Pizza.

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

DaysCase 1Case 2
PersonsFoodsPersonsFoods
MondayEPasta/Pizza ×
TuesdayBBurger/EPasta/Pizza ×
WednesdayBBurger/
ThursdayHBurger/, Pasta/Pizza ×
FridayPPasta/Pizza ×HBurger/, Pasta/Pizza ×
SaturdayPPasta/Pizza ×

 

5. Y enjoys Tacos after B, but not on the last day.

DaysCase 1Case 2
PersonsFoodsPersonsFoods
MondayEPasta/Pizza ×
TuesdayBBurger/EPasta/Pizza ×
WednesdayYTacosBBurger/
ThursdayHBurger/, Pasta/Pizza ×YTacos
FridayPPasta/Pizza ×HBurger/, Pasta/Pizza ×
SaturdayPPasta/Pizza ×

 

  1. The person who enjoys food immediately after L likes Sushi.

Now, we can eliminate Case 1.

DaysCase 2
PersonsFoods
MondayL
TuesdayESushi
WednesdayBBurger/
ThursdayYTacos
FridayHBurger/, Pasta/Pizza ×
SaturdayPPasta/Pizza ×

 

  1. Neither L nor H enjoys Pizza. 
DaysCase 2
PersonsFoods
MondayL
TuesdayESushi
WednesdayBPizza
ThursdayYTacos
FridayHBurger
SaturdayPPasta/Pizza ×

 

This is our final arrangement,

DaysCase 2
PersonsFoods
MondayLPasta
TuesdayESushi
WednesdayBPizza
ThursdayYTacos
FridayHBurger
SaturdayPNoodles

 

Hence, the correct answer is L.

13

Who enjoys food immediately after L?

  1. ((a))

    B

  2. ((b))

    E

  3. ((c))

    P

  4. ((d))

    H

  5. ((e))

    Y

Show Answer
Answer: ((b))

E

Given: Six individuals, B, E, H, L, P, and Y, enjoy different countries’ foods: Pizza, Sushi, Burger, Pasta, Tacos, and Noodles, on six different days from Monday to Saturday, not necessarily in the same order.

  1. There is a gap of one day between B and H, and one of them enjoys Burger. 
  2. H enjoys food after B. 
  3. E enjoys food immediately before B, and E does not enjoy Pasta or Pizza. 
  4. P enjoys food immediately after H, but neither of them enjoys Pasta nor Pizza.

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

DaysCase 1Case 2
PersonsFoodsPersonsFoods
MondayEPasta/Pizza ×
TuesdayBBurger/EPasta/Pizza ×
WednesdayBBurger/
ThursdayHBurger/, Pasta/Pizza ×
FridayPPasta/Pizza ×HBurger/, Pasta/Pizza ×
SaturdayPPasta/Pizza ×

 

  1. Y enjoys Tacos after B, but not on the last day.
DaysCase 1Case 2
PersonsFoodsPersonsFoods
MondayEPasta/Pizza ×
TuesdayBBurger/EPasta/Pizza ×
WednesdayYTacosBBurger/
ThursdayHBurger/, Pasta/Pizza ×YTacos
FridayPPasta/Pizza ×HBurger/, Pasta/Pizza ×
SaturdayPPasta/Pizza ×

 

  1. The person who enjoys food immediately after L likes Sushi.

Now, we can eliminate Case 1.

DaysCase 2
PersonsFoods
MondayL
TuesdayESushi
WednesdayBBurger/
ThursdayYTacos
FridayHBurger/, Pasta/Pizza ×
SaturdayPPasta/Pizza ×

 

  1. Neither L nor H enjoys Pizza. 
DaysCase 2
PersonsFoods
MondayL
TuesdayESushi
WednesdayBPizza
ThursdayYTacos
FridayHBurger
SaturdayPPasta/Pizza ×

 

This is our final arrangement,

DaysCase 2
PersonsFoods
MondayLPasta
TuesdayESushi
WednesdayBPizza
ThursdayYTacos
FridayHBurger
SaturdayPNoodles

 

Hence, the correct answer is E.

14

How many days are there between B and P?

  1. ((a))

    None

  2. ((b))

    One

  3. ((c))

    Two

  4. ((d))

    Three

  5. ((e))

    More than three

Show Answer
Answer: ((c))

Two

Given: Six individuals, B, E, H, L, P, and Y, enjoy different countries’ foods: Pizza, Sushi, Burger, Pasta, Tacos, and Noodles, on six different days from Monday to Saturday, not necessarily in the same order.

  1. There is a gap of one day between B and H, and one of them enjoys Burger. 
  2. H enjoys food after B. 
  3. E enjoys food immediately before B, and E does not enjoy Pasta or Pizza. 
  4. P enjoys food immediately after H, but neither of them enjoys Pasta nor Pizza.

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

DaysCase 1Case 2
PersonsFoodsPersonsFoods
MondayEPasta/Pizza ×
TuesdayBBurger/EPasta/Pizza ×
WednesdayBBurger/
ThursdayHBurger/, Pasta/Pizza ×
FridayPPasta/Pizza ×HBurger/, Pasta/Pizza ×
SaturdayPPasta/Pizza ×

 

  1. Y enjoys Tacos after B, but not on the last day.
DaysCase 1Case 2
PersonsFoodsPersonsFoods
MondayEPasta/Pizza ×
TuesdayBBurger/EPasta/Pizza ×
WednesdayYTacosBBurger/
ThursdayHBurger/, Pasta/Pizza ×YTacos
FridayPPasta/Pizza ×HBurger/, Pasta/Pizza ×
SaturdayPPasta/Pizza ×

 

  1. The person who enjoys food immediately after L likes Sushi.

Now, we can eliminate Case 1.

DaysCase 2
PersonsFoods
MondayL
TuesdayESushi
WednesdayBBurger/
ThursdayYTacos
FridayHBurger/, Pasta/Pizza ×
SaturdayPPasta/Pizza ×

 

  1. Neither L nor H enjoys Pizza. 
DaysCase 2
PersonsFoods
MondayL
TuesdayESushi
WednesdayBPizza
ThursdayYTacos
FridayHBurger
SaturdayPPasta/Pizza ×

 

This is our final arrangement,

DaysCase 2
PersonsFoods
MondayLPasta
TuesdayESushi
WednesdayBPizza
ThursdayYTacos
FridayHBurger
SaturdayPNoodles

 

Hence, the correct answer is Two.

15

Which food is enjoyed by B?

  1. ((a))

    Pizza

  2. ((b))

    Burger

  3. ((c))

    Sushi

  4. ((d))

    Pasta

  5. ((e))

    Noodles

Show Answer
Answer: ((a))

Pizza

Given: Six individuals, B, E, H, L, P, and Y, enjoy different countries’ foods: Pizza, Sushi, Burger, Pasta, Tacos, and Noodles, on six different days from Monday to Saturday, not necessarily in the same order.

  1. There is a gap of one day between B and H, and one of them enjoys Burger. 
  2. H enjoys food after B. 
  3. E enjoys food immediately before B, and E does not enjoy Pasta or Pizza. 
  4. P enjoys food immediately after H, but neither of them enjoys Pasta nor Pizza.

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

DaysCase 1Case 2
PersonsFoodsPersonsFoods
MondayEPasta/Pizza ×
TuesdayBBurger/EPasta/Pizza ×
WednesdayBBurger/
ThursdayHBurger/, Pasta/Pizza ×
FridayPPasta/Pizza ×HBurger/, Pasta/Pizza ×
SaturdayPPasta/Pizza ×

 

  1. Y enjoys Tacos after B, but not on the last day.
DaysCase 1Case 2
PersonsFoodsPersonsFoods
MondayEPasta/Pizza ×
TuesdayBBurger/EPasta/Pizza ×
WednesdayYTacosBBurger/
ThursdayHBurger/, Pasta/Pizza ×YTacos
FridayPPasta/Pizza ×HBurger/, Pasta/Pizza ×
SaturdayPPasta/Pizza ×

 

  1. The person who enjoys food immediately after L likes Sushi.

Now, we can eliminate Case 1.

DaysCase 2
PersonsFoods
MondayL
TuesdayESushi
WednesdayBBurger/
ThursdayYTacos
FridayHBurger/, Pasta/Pizza ×
SaturdayPPasta/Pizza ×

 

  1. Neither L nor H enjoys Pizza. 
DaysCase 2
PersonsFoods
MondayL
TuesdayESushi
WednesdayBPizza
ThursdayYTacos
FridayHBurger
SaturdayPPasta/Pizza ×

 

This is our final arrangement,

DaysCase 2
PersonsFoods
MondayLPasta
TuesdayESushi
WednesdayBPizza
ThursdayYTacos
FridayHBurger
SaturdayPNoodles

 

Hence, the correct answer is Pizza.

16

How many people enjoys food before Y?

  1. ((a))

    None

  2. ((b))

    One

  3. ((c))

    Two

  4. ((d))

    Three

  5. ((e))

    More than three

Show Answer
Answer: ((d))

Three

Given: Six individuals, B, E, H, L, P, and Y, enjoy different countries’ foods: Pizza, Sushi, Burger, Pasta, Tacos, and Noodles, on six different days from Monday to Saturday, not necessarily in the same order.

  1. There is a gap of one day between B and H, and one of them enjoys Burger. 
  2. H enjoys food after B. 
  3. E enjoys food immediately before B, and E does not enjoy Pasta or Pizza. 
  4. P enjoys food immediately after H, but neither of them enjoys Pasta nor Pizza.

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

DaysCase 1Case 2
PersonsFoodsPersonsFoods
MondayEPasta/Pizza ×
TuesdayBBurger/EPasta/Pizza ×
WednesdayBBurger/
ThursdayHBurger/, Pasta/Pizza ×
FridayPPasta/Pizza ×HBurger/, Pasta/Pizza ×
SaturdayPPasta/Pizza ×

 

  1. Y enjoys Tacos after B, but not on the last day.
DaysCase 1Case 2
PersonsFoodsPersonsFoods
MondayEPasta/Pizza ×
TuesdayBBurger/EPasta/Pizza ×
WednesdayYTacosBBurger/
ThursdayHBurger/, Pasta/Pizza ×YTacos
FridayPPasta/Pizza ×HBurger/, Pasta/Pizza ×
SaturdayPPasta/Pizza ×

 

  1. The person who enjoys food immediately after L likes Sushi.

Now, we can eliminate Case 1.

DaysCase 2
PersonsFoods
MondayL
TuesdayESushi
WednesdayBBurger/
ThursdayYTacos
FridayHBurger/, Pasta/Pizza ×
SaturdayPPasta/Pizza ×

 

  1. Neither L nor H enjoys Pizza. 
DaysCase 2
PersonsFoods
MondayL
TuesdayESushi
WednesdayBPizza
ThursdayYTacos
FridayHBurger
SaturdayPPasta/Pizza ×

 

This is our final arrangement,

DaysCase 2
PersonsFoods
MondayLPasta
TuesdayESushi
WednesdayBPizza
ThursdayYTacos
FridayHBurger
SaturdayPNoodles

 

Hence, the correct answer is Three.

17

Find the odd one.

  1. ((a))

    BDF

  2. ((b))

    HJL

  3. ((c))

    NPR

  4. ((d))

    TVX

  5. ((e))

    KMN

Show Answer
Answer: ((e))

KMN

Option 1: B + 2 = D, D + 2 = F

Option 2: H + 2 = J, J + 2 = L

Option 3: N + 2 = P, P + 2 = R

Option 4: T + 2 = V, V + 2 = X

Option 5: K + 2 = M, M + 2 = O ≠ N

Hence, the correct answer is KMN.

Directions: Read the information and answer the given questions.

Seven individuals, A, D, F, J, K, L, and X, are seated around a circular table. Some of them are facing towards the center, while others are facing away from the center. No more than two people facing the same direction sit consecutively.

Exactly two people sit between J and K. Person A sits third to the left of D. Person F sits two places away from A and is not an immediate neighbor of D. Person X is not an immediate neighbor of J. Persons A and J face in the opposite direction to K. Person L faces towards the center. Person J sits third to the right of F and is not adjacent to D.

18

Who sits third to the left of L?

  1. ((a))

    F

  2. ((b))

    A

  3. ((c))

    J

  4. ((d))

    K

  5. ((e))

    X

Show Answer
Answer: ((a))

F

Given: Seven individuals, A, D, F, J, K, L, and X, are seated around a circular table. Some of them are facing towards the center, while others are facing away from the center. No more than two people facing the same direction sit consecutively.

  1. Person A sits third to the left of D.  2. Person F sits two places away from A and is not an immediate neighbor of D. 

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

3. Person J sits third to the right of F and is not adjacent to D.

  1. Exactly two people sit between J and K.
  2. Person X is not an immediate neighbor of J.

6. Person L faces towards the center.  7. No more than two people facing the same direction sit consecutively.

  1. Persons A and J face in the opposite direction to K. 

Now, we can eliminate Case 1.

Hence, the correct answer is F.

19

How many persons sit between D and X from the left of D?

  1. ((a))

    None

  2. ((b))

    One

  3. ((c))

    Two

  4. ((d))

    Three

  5. ((e))

    More than three

Show Answer
Answer: ((d))

Three

Given: Seven individuals, A, D, F, J, K, L, and X, are seated around a circular table. Some of them are facing towards the center, while others are facing away from the center. No more than two people facing the same direction sit consecutively.

  1. Person A sits third to the left of D. 
  2. Person F sits two places away from A and is not an immediate neighbor of D. 

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

  1. Person J sits third to the right of F and is not adjacent to D.

  1. Exactly two people sit between J and K.
  2. Person X is not an immediate neighbor of J.

  1. Person L faces towards the center. 
  2. No more than two people facing the same direction sit consecutively.

  1. Persons A and J face in the opposite direction to K. 

Now, we can eliminate Case 1.

Hence, the correct answer is Three.

20

Which of the following statements is true about A?

  1. ((a))

    A faces outside.

  2. ((b))

    A sits adjacent to F.

  3. ((c))

    A faces towards the center.

  4. ((d))

    A faces the same as L.

  5. ((e))

    A sits exactly between D and J.

Show Answer
Answer: ((a))

A faces outside.

Given: Seven individuals, A, D, F, J, K, L, and X, are seated around a circular table. Some of them are facing towards the center, while others are facing away from the center. No more than two people facing the same direction sit consecutively.

  1. Person A sits third to the left of D. 
  2. Person F sits two places away from A and is not an immediate neighbor of D. 

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

  1. Person J sits third to the right of F and is not adjacent to D.

  1. Exactly two people sit between J and K.
  2. Person X is not an immediate neighbor of J.

  1. Person L faces towards the center. 
  2. No more than two people facing the same direction sit consecutively.

  1. Persons A and J face in the opposite direction to K. 

Now, we can eliminate Case 1.

Hence, the correct answer is A faces outside.

21

Who sits third to the right of K?

  1. ((a))

    A

  2. ((b))

    D

  3. ((c))

    J

  4. ((d))

    L

  5. ((e))

    X

Show Answer
Answer: ((c))

J

Given: Seven individuals, A, D, F, J, K, L, and X, are seated around a circular table. Some of them are facing towards the center, while others are facing away from the center. No more than two people facing the same direction sit consecutively.

  1. Person A sits third to the left of D. 
  2. Person F sits two places away from A and is not an immediate neighbor of D. 

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

  1. Person J sits third to the right of F and is not adjacent to D.

  1. Exactly two people sit between J and K.
  2. Person X is not an immediate neighbor of J.

  1. Person L faces towards the center. 
  2. No more than two people facing the same direction sit consecutively.

  1. Persons A and J face in the opposite direction to K. 

Now, we can eliminate Case 1.

Hence, the correct answer is J.

22

Which of the following persons sits adjacent to J?

  1. ((a))

    A

  2. ((b))

    F

  3. ((c))

    K

  4. ((d))

    X

  5. ((e))

    D

Show Answer
Answer: ((a))

A

Given: Seven individuals, A, D, F, J, K, L, and X, are seated around a circular table. Some of them are facing towards the center, while others are facing away from the center. No more than two people facing the same direction sit consecutively.

  1. Person A sits third to the left of D. 
  2. Person F sits two places away from A and is not an immediate neighbor of D. 

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

  1. Person J sits third to the right of F and is not adjacent to D.

  1. Exactly two people sit between J and K.
  2. Person X is not an immediate neighbor of J.

  1. Person L faces towards the center. 
  2. No more than two people facing the same direction sit consecutively.

  1. Persons A and J face in the opposite direction to K. 

Now, we can eliminate Case 1.

Hence, the correct answer is A.

Directions: Read the information and answer the given questions.

Eight family members, namely, A, B, C, D, E, F, G, and H, live together. Among them, there are two married couples. D is the uncle of E. A is the father of E, and E is the husband of G. F is the daughter of B, and B is the mother-in-law of G. F has only one nephew. C is the only daughter of B’s only son. D is not the brother of A.

23

How is B related to E?

  1. ((a))

    Mother

  2. ((b))

    Aunt

  3. ((c))

    Grandmother

  4. ((d))

    Sister

  5. ((e))

    Mother-in-law

Show Answer
Answer: ((a))

Mother

Given: Eight family members, namely, A, B, C, D, E, F, G, and H, live together. Among them, there are two married couples.

  1. C is the only daughter of B’s only son. 
  2. F is the daughter of B, and B is the mother-in-law of G. 

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

3. A is the father of E, and E is the husband of G. 

Now, we can eliminate Case 2.

  1. D is the uncle of E.
  2. D is not the brother of A.
  3. F has only one nephew. 

This is our final family tree,

Hence, the correct answer is Mother.

24

How is D related to B?

  1. ((a))

    Father

  2. ((b))

    Brother

  3. ((c))

    Cousin

  4. ((d))

    Uncle

  5. ((e))

    Grandfather

Show Answer
Answer: ((b))

Brother

Given: Eight family members, namely, A, B, C, D, E, F, G, and H, live together. Among them, there are two married couples.

  1. C is the only daughter of B’s only son. 
  2. F is the daughter of B, and B is the mother-in-law of G. 

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

  1. A is the father of E, and E is the husband of G. 

Now, we can eliminate Case 2.

  1. D is the uncle of E.
  2. D is not the brother of A.
  3. F has only one nephew. 

This is our final family tree,

Hence, the correct answer is Brother.

25

How many male members are there in the family?

  1. ((a))

    One

  2. ((b))

    Two

  3. ((c))

    Three

  4. ((d))

    Four

  5. ((e))

    More than four

Show Answer
Answer: ((d))

Four

Given: Eight family members, namely, A, B, C, D, E, F, G, and H, live together. Among them, there are two married couples.

  1. C is the only daughter of B’s only son. 
  2. F is the daughter of B, and B is the mother-in-law of G. 

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

  1. A is the father of E, and E is the husband of G. 

Now, we can eliminate Case 2.

  1. D is the uncle of E.
  2. D is not the brother of A.
  3. F has only one nephew. 

This is our final family tree,

Hence, the correct answer is Four.

26

How many meaningful English words can be formed using the first, fourth, fifth, and eighth letters from the left end of the word “CONVERSATION”, using each letter only once in each word? If no meaningful word can be formed, mark the answer as Y, and if more than three words can be formed, mark the answer as Z. Otherwise, choose the correct answer from the options given below.

  1. ((a))

    One

  2. ((b))

    Two

  3. ((c))

    Three

  4. ((d))

    Y

  5. ((e))

    Z

Show Answer
Answer: ((a))

One

Given word: CONVERSATION

The first, fourth, fifth, and eighth letters from the left end are = C, V, E, A

Meaningful word = CAVE

Hence, the correct answer is One.

Directions: Read the information and answer the given questions.

Eight boxes, P, Q, R, S, T, U, V, and W, are kept one above another but not necessarily in the same order. These boxes contain different fruits, namely Apple, Banana, Mango, Orange, Grapes, Pineapple, Guava, and Papaya, but not necessarily in the same order.

Box P contains Orange and is kept at one of the places below box R but above box S. Three boxes are kept above the box that contains Papaya. Box T contains Grapes and is kept at the bottom. There are two boxes between box S and the box containing Papaya. Four boxes are kept between box S and box R. Two boxes are kept between the box containing Grapes and the box containing Guava. Only one box is kept between box P and box U, which contains Mango. Box V doesn't contain Guava. Box R doesn't contain Apple and Banana. The Banana is kept in a box just above the box containing Grapes. Box Q doesn't contain Papaya and Guava.

27

Which box contains Papaya?

  1. ((a))

    Box P

  2. ((b))

    Box Q

  3. ((c))

    Box R

  4. ((d))

    Box V

  5. ((e))

    Box W

Show Answer
Answer: ((d))

Box V

Given: Eight boxes, P, Q, R, S, T, U, V, and W, are kept one above another but not necessarily in the same order. These boxes contain different fruits, namely Apple, Banana, Mango, Orange, Grapes, Pineapple, Guava, and Papaya, but not necessarily in the same order.

  1. Three boxes are kept above the box that contains Papaya. 2. Box T contains Grapes and is kept at the bottom. 
  2. There are two boxes between box S and the box containing Papaya. 

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

Case 1Case 2
BoxesFruitsBoxesFruits
S
PapayaPapaya
S
TGrapesTGrapes

 

4. Four boxes are kept between box S and box R.  5. Two boxes are kept between the box containing Grapes and the box containing Guava. 

Case 1Case 2
BoxesFruitsBoxesFruits
S
R
PapayaPapaya
GuavaGuava
R
S
TGrapesTGrapes

 

6. The Banana is kept in a box just above the box containing Grapes. 

Case 1Case 2
BoxesFruitsBoxesFruits
S
R
PapayaPapaya
GuavaGuava
R
SBananaBanana
TGrapesTGrapes

 

7. Box P contains Orange and is kept at one of the places below box R but above box S. 

Now, we can eliminate Case 2.

Case 1
BoxesFruits
R
P/Orange/
Papaya
Guava
P/Orange/
SBanana
TGrapes

 

  1. Only one box is kept between box P and box U, which contains Mango.
Case 1
BoxesFruits
UMango
R
POrange
Papaya
Guava
SBanana
TGrapes

 

9. Box R doesn't contain Apple and Banana. 

Case 1
BoxesFruits
UMango
RPineapple
POrange
Papaya
Guava
Apple
SBanana
TGrapes

 

10. Box Q doesn't contain Papaya and Guava. 11. Box V doesn't contain Guava. 

This is our final arrangement,

Case 1
BoxesFruits
UMango
RPineapple
POrange
VPapaya
WGuava
QApple
SBanana
TGrapes

 

Hence, the correct answer is Box V.

28

How many boxes are kept between Box R and the box containing Grapes?

  1. ((a))

    One

  2. ((b))

    Two

  3. ((c))

    Three

  4. ((d))

    Four

  5. ((e))

    Five

Show Answer
Answer: ((e))

Five

Given: Eight boxes, P, Q, R, S, T, U, V, and W, are kept one above another but not necessarily in the same order. These boxes contain different fruits, namely Apple, Banana, Mango, Orange, Grapes, Pineapple, Guava, and Papaya, but not necessarily in the same order.

  1. Three boxes are kept above the box that contains Papaya.
  2. Box T contains Grapes and is kept at the bottom. 
  3. There are two boxes between box S and the box containing Papaya. 

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

Case 1Case 2
BoxesFruitsBoxesFruits
S
PapayaPapaya
S
TGrapesTGrapes

 

  1. Four boxes are kept between box S and box R. 
  2. Two boxes are kept between the box containing Grapes and the box containing Guava. 
Case 1Case 2
BoxesFruitsBoxesFruits
S
R
PapayaPapaya
GuavaGuava
R
S
TGrapesTGrapes

 

  1. The Banana is kept in a box just above the box containing Grapes. 
Case 1Case 2
BoxesFruitsBoxesFruits
S
R
PapayaPapaya
GuavaGuava
R
SBananaBanana
TGrapesTGrapes

 

  1. Box P contains Orange and is kept at one of the places below box R but above box S. 

Now, we can eliminate Case 2.

Case 1
BoxesFruits
R
P/Orange/
Papaya
Guava
P/Orange/
SBanana
TGrapes

 

  1. Only one box is kept between box P and box U, which contains Mango.
Case 1
BoxesFruits
UMango
R
POrange
Papaya
Guava
SBanana
TGrapes

 

  1. Box R doesn't contain Apple and Banana. 
Case 1
BoxesFruits
UMango
RPineapple
POrange
Papaya
Guava
Apple
SBanana
TGrapes

 

  1. Box Q doesn't contain Papaya and Guava.
  2. Box V doesn't contain Guava. 

This is our final arrangement,

Case 1
BoxesFruits
UMango
RPineapple
POrange
VPapaya
WGuava
QApple
SBanana
TGrapes

 

Hence, the correct answer is Five.

29

Which fruit is contained in Box S?

  1. ((a))

    Banana

  2. ((b))

    Guava

  3. ((c))

    Pineapple

  4. ((d))

    Mango

  5. ((e))

    Apple

Show Answer
Answer: ((a))

Banana

Given: Eight boxes, P, Q, R, S, T, U, V, and W, are kept one above another but not necessarily in the same order. These boxes contain different fruits, namely Apple, Banana, Mango, Orange, Grapes, Pineapple, Guava, and Papaya, but not necessarily in the same order.

  1. Three boxes are kept above the box that contains Papaya.
  2. Box T contains Grapes and is kept at the bottom. 
  3. There are two boxes between box S and the box containing Papaya. 

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

Case 1Case 2
BoxesFruitsBoxesFruits
S
PapayaPapaya
S
TGrapesTGrapes

 

  1. Four boxes are kept between box S and box R. 
  2. Two boxes are kept between the box containing Grapes and the box containing Guava. 
Case 1Case 2
BoxesFruitsBoxesFruits
S
R
PapayaPapaya
GuavaGuava
R
S
TGrapesTGrapes

 

  1. The Banana is kept in a box just above the box containing Grapes. 
Case 1Case 2
BoxesFruitsBoxesFruits
S
R
PapayaPapaya
GuavaGuava
R
SBananaBanana
TGrapesTGrapes

 

  1. Box P contains Orange and is kept at one of the places below box R but above box S. 

Now, we can eliminate Case 2.

Case 1
BoxesFruits
R
P/Orange/
Papaya
Guava
P/Orange/
SBanana
TGrapes

 

  1. Only one box is kept between box P and box U, which contains Mango.
Case 1
BoxesFruits
UMango
R
POrange
Papaya
Guava
SBanana
TGrapes

 

  1. Box R doesn't contain Apple and Banana. 
Case 1
BoxesFruits
UMango
RPineapple
POrange
Papaya
Guava
Apple
SBanana
TGrapes

 

  1. Box Q doesn't contain Papaya and Guava.
  2. Box V doesn't contain Guava. 

This is our final arrangement,

Case 1
BoxesFruits
UMango
RPineapple
POrange
VPapaya
WGuava
QApple
SBanana
TGrapes

 

Hence, the correct answer is Banana.

30

Which of the following boxes is kept just above the box containing Guava?

  1. ((a))

    Box V

  2. ((b))

    Box P

  3. ((c))

    Box U

  4. ((d))

    Box R

  5. ((e))

    Box Q

Show Answer
Answer: ((a))

Box V

Given: Eight boxes, P, Q, R, S, T, U, V, and W, are kept one above another but not necessarily in the same order. These boxes contain different fruits, namely Apple, Banana, Mango, Orange, Grapes, Pineapple, Guava, and Papaya, but not necessarily in the same order.

  1. Three boxes are kept above the box that contains Papaya.
  2. Box T contains Grapes and is kept at the bottom. 
  3. There are two boxes between box S and the box containing Papaya. 

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

Case 1Case 2
BoxesFruitsBoxesFruits
S
PapayaPapaya
S
TGrapesTGrapes

 

  1. Four boxes are kept between box S and box R. 
  2. Two boxes are kept between the box containing Grapes and the box containing Guava. 
Case 1Case 2
BoxesFruitsBoxesFruits
S
R
PapayaPapaya
GuavaGuava
R
S
TGrapesTGrapes

 

  1. The Banana is kept in a box just above the box containing Grapes. 
Case 1Case 2
BoxesFruitsBoxesFruits
S
R
PapayaPapaya
GuavaGuava
R
SBananaBanana
TGrapesTGrapes

 

  1. Box P contains Orange and is kept at one of the places below box R but above box S. 

Now, we can eliminate Case 2.

Case 1
BoxesFruits
R
P/Orange/
Papaya
Guava
P/Orange/
SBanana
TGrapes

 

  1. Only one box is kept between box P and box U, which contains Mango.
Case 1
BoxesFruits
UMango
R
POrange
Papaya
Guava
SBanana
TGrapes

 

  1. Box R doesn't contain Apple and Banana. 
Case 1
BoxesFruits
UMango
RPineapple
POrange
Papaya
Guava
Apple
SBanana
TGrapes

 

  1. Box Q doesn't contain Papaya and Guava.
  2. Box V doesn't contain Guava. 

This is our final arrangement,

Case 1
BoxesFruits
UMango
RPineapple
POrange
VPapaya
WGuava
QApple
SBanana
TGrapes

 

Hence, the correct answer is Box V.

31

Which among the following box is placed at the top?

  1. ((a))

    Box P

  2. ((b))

    Box Q

  3. ((c))

    Box R

  4. ((d))

    Box S

  5. ((e))

    Box U

Show Answer
Answer: ((e))

Box U

Given: Eight boxes, P, Q, R, S, T, U, V, and W, are kept one above another but not necessarily in the same order. These boxes contain different fruits, namely Apple, Banana, Mango, Orange, Grapes, Pineapple, Guava, and Papaya, but not necessarily in the same order.

  1. Three boxes are kept above the box that contains Papaya.
  2. Box T contains Grapes and is kept at the bottom. 
  3. There are two boxes between box S and the box containing Papaya. 

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

Case 1Case 2
BoxesFruitsBoxesFruits
S
PapayaPapaya
S
TGrapesTGrapes

 

  1. Four boxes are kept between box S and box R. 
  2. Two boxes are kept between the box containing Grapes and the box containing Guava. 
Case 1Case 2
BoxesFruitsBoxesFruits
S
R
PapayaPapaya
GuavaGuava
R
S
TGrapesTGrapes

 

  1. The Banana is kept in a box just above the box containing Grapes. 
Case 1Case 2
BoxesFruitsBoxesFruits
S
R
PapayaPapaya
GuavaGuava
R
SBananaBanana
TGrapesTGrapes

 

  1. Box P contains Orange and is kept at one of the places below box R but above box S. 

Now, we can eliminate Case 2.

Case 1
BoxesFruits
R
P/Orange/
Papaya
Guava
P/Orange/
SBanana
TGrapes

 

  1. Only one box is kept between box P and box U, which contains Mango.
Case 1
BoxesFruits
UMango
R
POrange
Papaya
Guava
SBanana
TGrapes

 

  1. Box R doesn't contain Apple and Banana. 
Case 1
BoxesFruits
UMango
RPineapple
POrange
Papaya
Guava
Apple
SBanana
TGrapes

 

  1. Box Q doesn't contain Papaya and Guava.
  2. Box V doesn't contain Guava. 

This is our final arrangement,

Case 1
BoxesFruits
UMango
RPineapple
POrange
VPapaya
WGuava
QApple
SBanana
TGrapes

 

Hence, the correct answer is Box U.

32

How many pairs of digits are there in the number ‘58391746’, such that the number of digits between them is the same as the number of digits between them in the natural number series (in both forward and backward directions)?

  1. ((a))

    None

  2. ((b))

    One

  3. ((c))

    Two

  4. ((d))

    Three

  5. ((e))

    More than three

Show Answer
Answer: ((e))

More than three

Given number: 58391746

Number58391746

Hence, the correct answer is More than three.

Directions: Read the information and answer the given questions.

A certain number of persons are seated in a straight row, all facing North. There are five persons between A and H. K has only one person to its left. The number of persons between A and F is the same as the number of persons between C and K. T sits third to the right of F. The number of persons to the left of K is equal to the number of persons to the right of T. There are three persons between C and F. A sits fourth to the left of C.

33

How many persons are sitting in the row?

  1. ((a))

    15

  2. ((b))

    16

  3. ((c))

    17

  4. ((d))

    18

  5. ((e))

    19

Show Answer
Answer: ((d))

18

Given: A certain number of persons are seated in a straight row, all facing North.

  1. K has only one person to its left. 
  2. The number of persons to the left of K is equal to the number of persons to the right of T.  3. T sits third to the right of F. 4. There are three persons between C and F. 

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

  1. A sits fourth to the left of C.

Now, we can eliminate Case 2.

  1. The number of persons between A and F is the same as the number of persons between C and K. 
  2. There are five persons between A and H. 

This is our final arrangement,

Hence, the correct answer is 18.

34

Who is sitting fourth to the left of F?

  1. ((a))

    A

  2. ((b))

    C

  3. ((c))

    T

  4. ((d))

    H

  5. ((e))

    K

Show Answer
Answer: ((b))

C

Given: A certain number of persons are seated in a straight row, all facing North.

  1. K has only one person to its left. 
  2. The number of persons to the left of K is equal to the number of persons to the right of T. 
  3. T sits third to the right of F.
  4. There are three persons between C and F. 

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

  1. A sits fourth to the left of C.

Now, we can eliminate Case 2.

  1. The number of persons between A and F is the same as the number of persons between C and K. 
  2. There are five persons between A and H. 

This is our final arrangement,

Hence, the correct answer is C.

35

How many persons sit between C and K?

  1. ((a))

    Three

  2. ((b))

    Four

  3. ((c))

    Five

  4. ((d))

    Six

  5. ((e))

    More than six

Show Answer
Answer: ((e))

More than six

Given: A certain number of persons are seated in a straight row, all facing North.

  1. K has only one person to its left. 
  2. The number of persons to the left of K is equal to the number of persons to the right of T. 
  3. T sits third to the right of F.
  4. There are three persons between C and F. 

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

  1. A sits fourth to the left of C.

Now, we can eliminate Case 2.

  1. The number of persons between A and F is the same as the number of persons between C and K. 
  2. There are five persons between A and H. 

This is our final arrangement,

Hence, the correct answer is More than six.

English Language (30 questions)

36

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

The opaque (A) waters revealed a diaphanous (B) jellyfish, contrasting sharply with the pellucid (C) rocks and meretricious (D) artificial corals.

  1. ((a))

    B-C

  2. ((b))

    A-D

  3. ((c))

    C-D

  4. ((d))

    A-C

  5. ((e))

    No interchange required

Show Answer
Answer: ((d))

A-C

The correct answer is: Option 4 i.e. A-C.

Key Points

  • The word "opaque" (A) means not able to be seen through; not transparent or difficult to understand. (अस्पष्ट)
  • Example: The windows were so dirty that they appeared opaque.
  • The word "pellucid" (C) means translucently clear or easily understood. (पारदर्शी)
  • Example: The pellucid waters of the lake reflected the surrounding scenery beautifully.
  • In the given sentence, the words "opaque" and "pellucid" are incorrectly placed. "Opaque" should describe the rocks, and "pellucid" should describe the waters, as waters are typically clear, and rocks could be described as not transparent or opaque.

Correct sentence: The pellucid (A) waters revealed a diaphanous (B) jellyfish, contrasting sharply with the opaque (C) rocks and meretricious (D) artificial corals.

Therefore, the correct answer is: Option 4.

Additional Information

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

  • Option 1: B-C (Incorrect)
  • The word "diaphanous" (B) means light, delicate, and translucent, especially of fabric. (सूक्ष्म और पारभासी)
  • Example: She wore a diaphanous dress that shimmered in the sunlight.
  • Swapping "diaphanous" with "pellucid" would not fit the context, as "jellyfish" is rightly described as diaphanous.
  • Option 2: A-D (Incorrect)
  • The word "meretricious" (D) means apparently attractive but having no real value or integrity. (आकर्षक लेकिन तुच्छ)
  • Example: The house was decorated in a meretricious style, with flashy but cheap furnishings.
  • Swapping "opaque" with "meretricious" would not make sense in the context of the sentence.
  • Option 3: C-D (Incorrect)
  • Swapping "pellucid" with "meretricious" would not fit logically, as "meretricious" does not describe rocks or waters appropriately in this context.
  • Option 5: No interchange required (Incorrect)
  • The current arrangement of words is incorrect and requires swapping to make the sentence grammatically and contextually correct.
37

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

Her cogent (A) arguments cut through the trenchant (B) chatter, offering a fatuous (C) analysis instead of inane (D) gossip.​

  1. ((a))

    B-C

  2. ((b))

    A-D

  3. ((c))

    A-C

  4. ((d))

    B-D

  5. ((e))

    No interchange required

Show Answer
Answer: ((a))

B-C

The correct answer is: Option 1 i.e. B-C.

Key Points

  • The sentence provided is: Her cogent (A) arguments cut through the trenchant (B) chatter, offering a fatuous (C) analysis instead of inane (D) gossip.
  • Let's analyze the meanings of the bold words to understand where the interchange is required:
  • Trenchant (B): Refers to something that is vigorous, sharp, or incisive in expression or style. (तेज/तीखा)
  • Example: The journalist's trenchant criticism of the government exposed many flaws.
  • Fatuous (C): Refers to something that is silly or pointless. (मूर्खतापूर्ण)
  • Example: His fatuous remark made everyone question his seriousness about the situation.
  • In the sentence, the words “trenchant” (B) and “fatuous” (C) are misplaced. The chatter should be described as “fatuous” (silly and meaningless), and the analysis should be described as “trenchant” (sharp or incisive).

Correct sentence: Her cogent (A) arguments cut through the fatuous (B) chatter, offering a trenchant (C) analysis instead of inane (D) gossip.

Therefore, the correct answer is: Option 1 i.e. B-C.

Additional Information

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

  • Cogent (A): Refers to an argument that is clear, logical, and convincing. (प्रभावशाली)
  • Example: She presented a cogent argument that won her the debate.
  • Inane (D): Refers to something that is silly, lacking meaning, or void of sense. (निरर्थक)
  • Example: The conversation was filled with inane gossip that added no value.
  • Other options:
  • Option 2 (A-D): Interchanging these words would not make the sentence meaningful.
  • Option 3 (A-C): This would distort the meaning of the sentence.
  • Option 4 (B-D): This interchange does not address the correct placement of the words.
  • Option 5: No interchange is incorrect as the sentence in its original form is not meaningful.
38

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

The critics tended to extol (A) modern artists while they would venerate (B) the classics, choosing to vituperate (C) traditional methods and castigate (D) innovation.

  1. ((a))

    C-D

  2. ((b))

    A-B

  3. ((c))

    A-C

  4. ((d))

    B-D

  5. ((e))

    No interchange required

Show Answer
Answer: ((c))

A-C

The correct answer is: Option 3 i.e., A-C.

Key Points

  • The word "extol" means to praise someone or something highly. (प्रशंसा करना)
  • Example: She would often extol the virtues of her favorite book to everyone.
  • The word "vituperate" means to criticize someone or something harshly. (गाली देना/दोष लगाना)
  • Example: The politician began to vituperate his opponent during the debate.
  • In the given sentence, the position of "extol" and "vituperate" is incorrect. The critics are expected to praise (extol) traditional methods and criticize (vituperate) modern artists. Therefore, their positions need to be interchanged for the sentence to be meaningful.

Correct sentence: The critics tended to vituperate (C) modern artists while they would extol (A) the classics, choosing to venerate (B) traditional methods and castigate (D) innovation.

Therefore, the correct answer is: Option 3 i.e., A-C.

Additional Information

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

  • Option 1: C-D (विकल्प C और D का विनिमय)
  • Swapping these words would not make the sentence meaningful, as "castigate" (to criticize) and "innovation" (new ideas or methods) already fit the sentence context properly.
  • Option 2: A-B (विकल्प A और B का विनिमय)
  • Swapping "extol" (praise) and "venerate" (respect deeply) would distort the meaning of the sentence. The sentence discusses praising classics and criticizing modern methods, so these words are already in their correct positions.
  • Option 4: B-D (विकल्प B और D का विनिमय)
  • Swapping "venerate" (respect) and "castigate" (criticize) would also disrupt the logic of the sentence. These words are correctly placed in their respective positions.
  • Option 5: No interchange required (कोई विनिमय आवश्यक नहीं)
  • This option implies the sentence is already correct, which is not the case as explained above.
39

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

The bellicose (A) leader forgave the pusillanimous (B) deserter, ignoring the querulous (C) complaints of his magnanimous (D) generals.

  1. ((a))

    A-C

  2. ((b))

    B-C

  3. ((c))

    A-D

  4. ((d))

    C-D

  5. ((e))

    No interchange required

Show Answer
Answer: ((c))

A-D

The correct answer is: Option 3 i.e. A-D.

Key Points

  • The word "bellicose" means demonstrating aggression and willingness to fight. (आक्रामक/युद्धप्रिय)
  • Example: His bellicose attitude often led to arguments with his colleagues.
  • The word "magnanimous" means being very generous or forgiving, especially toward a rival or someone less powerful. (उदार/महान)
  • Example: The magnanimous leader forgave his opponent after the heated debate.
  • In the context of the sentence, a magnanimous leader is more likely to forgive a cowardly deserter, while bellicose generals would be the ones complaining. Swapping these two words makes the sentence meaningful and grammatically correct.

Therefore, the correct answer is- Option 3 i.e. A-D.

Additional Information

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

  • A-C:
  • Querulous (शिकायत करने वाला): Complaining in an annoyed or whining manner.
  • Example: The querulous child kept whining about his food.
  • Swapping "bellicose" and "querulous" does not fit meaningfully in the sentence structure.
  • B-C:
  • Pusillanimous (कायर): Lacking courage or resolution; timid.
  • Example: Only a pusillanimous person would run away from such a small problem.
  • This swap creates illogical phrases like "pusillanimous complaints," which do not fit the context.
  • C-D:
  • Magnanimous (उदार/महान): Already explained above.
  • This swap results in "magnanimous complaints" and "querulous generals," which do not make logical sense.
  • No interchange required:
  • Leaving the sentence as is does not convey the correct meaning, as explained above.

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

In an era defined by constant connectivity and demanding work cultures, a peculiar psychological phenomenon has taken centre stage: revenge bedtime procrastination. This term describes the decision to delay sleep in response to a perceived lack of free time during the day. For many, the late-night hours represent the only sliver of the day where they can exercise total ______(A) over their activities. Consequently, individuals willingly sacrifice crucial rest to engage in entertainment, scrolling through social media, or binge-watching shows activities that offer immediate gratification but ultimately lead to chronic sleep ______(B). Psychologists suggest that this behaviour is not merely a sign of laziness; rather, it highlights a profound failure of self-regulation. Interestingly, research indicates that bedtime procrastinators usually possess the intention to sleep but fail to ______(C) that intention into action. This disconnect between intention and behaviour is often exacerbated by daytime stress. When cognitive resources are ______(D) by a gruelling workday, the willpower required to shut off a screen and turn off the lights is severely compromised. The consequences of this habit are far from benign. Over time, the resulting sleep deficit can significantly ______(E) cognitive functions, leading to daytime fatigue, reduced productivity, and heightened irritability. Furthermore, it creates a vicious cycle: poor sleep reduces emotional resilience the following day, making individuals more ______(F) to stress, which in turn fuels the urge to procrastinate again at night.

40

Which of the following is the most appropriate option to fill in the blank labelled as (A)?

  1. ((a))

    Subservience

  2. ((b))

    Autonomy

  3. ((c))

    Drudgery

  4. ((d))

    Captivity

  5. ((e))

    Compliance

Show Answer
Answer: ((b))

Autonomy

The correct answer is 'Autonomy'.

 

Key Points

  • The passage discusses the phenomenon of "revenge bedtime procrastination," where individuals delay sleep to reclaim personal time.
  • The sentence indicates that the late-night hours are the only time individuals feel they have personal control or independence over their schedule.
  • "Autonomy" means the right or condition of self-government or freedom from external control, which perfectly fits the context of exercising power over one's own activities.
  • Other options ("Subservience", "Drudgery", "Captivity", "Compliance") denote lack of freedom or burdensome conditions, which is the opposite of what is sought in the late-night hours.

Therefore, the correct answer is 'Option B'.

 

Complete Passage: In an era defined by constant connectivity and demanding work cultures, a peculiar psychological phenomenon has taken centre stage: revenge bedtime procrastination. This term describes the decision to delay sleep in response to a perceived lack of free time during the day. For many, the late-night hours represent the only sliver of the day where they can exercise total autonomy over their activities. Consequently, individuals willingly sacrifice crucial rest to engage in entertainment, scrolling through social media, or binge-watching shows activities that offer immediate gratification but ultimately lead to chronic sleep ______(B). Psychologists suggest that this behaviour is not merely a sign of laziness; rather, it highlights a profound failure of self-regulation. Interestingly, research indicates that bedtime procrastinators usually possess the intention to sleep but fail to ______(C) that intention into action. This disconnect between intention and behaviour is often exacerbated by daytime stress. When cognitive resources are ______(D) by a gruelling workday, the willpower required to shut off a screen and turn off the lights is severely compromised. The consequences of this habit are far from benign. Over time, the resulting sleep deficit can significantly ______(E) cognitive functions, leading to daytime fatigue, reduced productivity, and heightened irritability. Furthermore, it creates a vicious cycle: poor sleep reduces emotional resilience the following day, making individuals more ______(F) to stress, which in turn fuels the urge to procrastinate again at night.

 

Additional Information

  • Subservience (अधीनता): Willingness to obey others unquestioningly.
  • Drudgery (कठिन परिश्रम): Hard menial or dull work.
  • Captivity (कैद): The condition of being imprisoned or confined.
  • Compliance (अनुपालन): The action or fact of complying with a wish or command.
41

Which of the following is the most appropriate option to fill in the blank labelled as (B)?

  1. ((a))

    Deprivation

  2. ((b))

    Abundance

  3. ((c))

    Surplus

  4. ((d))

    Saturation

  5. ((e))

    Restoration

Show Answer
Answer: ((a))

Deprivation

The correct answer is 'deprivation'.

 

Key Points

  • The passage discusses the psychological phenomenon of "revenge bedtime procrastination" and its negative consequences.
  • The blank (B) requires a noun that describes the state of not getting enough sleep because it is being "sacrificed" for entertainment.
  • "Deprivation" is the correct term here, as it refers to the damaging lack of something considered to be a necessity (in this case, sleep).
  • Other options like "abundance" and "surplus" mean having an excess, which is the opposite of what happens when one procrastinates on sleep. "Saturation" and "restoration" do not fit the context of a negative outcome resulting from sacrifice.

Therefore, the correct answer is 'Option A'.

 

Complete Passage: In an era defined by constant connectivity and demanding work cultures, a peculiar psychological phenomenon has taken centre stage: revenge bedtime procrastination. This term describes the decision to delay sleep in response to a perceived lack of free time during the day. For many, the late-night hours represent the only sliver of the day where they can exercise total autonomy over their activities. Consequently, individuals willingly sacrifice crucial rest to engage in entertainment, scrolling through social media, or binge-watching shows activities that offer immediate gratification but ultimately lead to chronic sleep deprivation*. Psychologists suggest that this behaviour is not merely a sign of laziness; rather, it highlights a profound failure of self-regulation. Interestingly, research indicates that bedtime procrastinators usually possess the intention to sleep but fail to ______(C) that intention into action. This disconnect between intention and behaviour is often exacerbated by daytime stress. When cognitive resources are ______(D) by a gruelling workday, the willpower required to shut off a screen and turn off the lights is severely compromised. The consequences of this habit are far from benign. Over time, the resulting sleep deficit can significantly ______(E) cognitive functions, leading to daytime fatigue, reduced productivity, and heightened irritability. Furthermore, it creates a vicious cycle: poor sleep reduces emotional resilience the following day, making individuals more ______(F) to stress, which in turn fuels the urge to procrastinate again at night.*

 

Additional Information

  • Abundance (प्रचुरता): A very large quantity of something; plenty.
  • Surplus (अधिशेष): An amount of something left over when requirements have been met.
  • Saturation (संतृप्ति): The state or process that occurs when no more of something can be absorbed or added.
  • Restoration (मरम्मत/नवीनीकरण): The action of returning something to a former owner, place, or condition.
42

Which of the following is the most appropriate option to fill in the blank labelled as (C)?

  1. ((a))

    Obscure

  2. ((b))

    Translate

  3. ((c))

    Subvert

  4. ((d))

    Dissolve

  5. ((e))

    Postpone

Show Answer
Answer: ((b))

Translate

The correct answer is 'translate'.

 

Key Points

  • The passage discusses "revenge bedtime procrastination" and the gap between a person's intention to sleep and their actual behavior.
  • The blank (C) requires a verb that means to convert or turn an idea or intention into a physical action.
  • "Translate" is the most appropriate word here, as "to translate something into action" is a standard idiomatic expression meaning to put an idea or plan into practice.
  • The other options do not fit the context: "Obscure" means to hide, "Subvert" means to undermine, "Dissolve" means to break down, and "Postpone" means to delay. While procrastinators do delay sleep, the phrase specifically refers to the failure to turn the intention into the act.

Therefore, the correct answer is 'Option 2'.

 

Complete Passage: In an era defined by constant connectivity and demanding work cultures, a peculiar psychological phenomenon has taken centre stage: revenge bedtime procrastination. This term describes the decision to delay sleep in response to a perceived lack of free time during the day. For many, the late-night hours represent the only sliver of the day where they can exercise total autonomy over their activities. Consequently, individuals willingly sacrifice crucial rest to engage in entertainment, scrolling through social media, or binge-watching shows activities that offer immediate gratification but ultimately lead to chronic sleep deprivation. Psychologists suggest that this behaviour is not merely a sign of laziness; rather, it highlights a profound failure of self-regulation. Interestingly, research indicates that bedtime procrastinators usually possess the intention to sleep but fail to translate that intention into action. This disconnect between intention and behaviour is often exacerbated by daytime stress. When cognitive resources are ______(D) by a gruelling workday, the willpower required to shut off a screen and turn off the lights is severely compromised. The consequences of this habit are far from benign. Over time, the resulting sleep deficit can significantly ______(E) cognitive functions, leading to daytime fatigue, reduced productivity, and heightened irritability. Furthermore, it creates a vicious cycle: poor sleep reduces emotional resilience the following day, making individuals more ______(F) to stress, which in turn fuels the urge to procrastinate again at night.

 

Additional Information

  • Obscure (अस्पष्ट करना): To make something unclear or difficult to understand.
  • Subvert (पलट देना): To undermine the power and authority of an established system or institution.
  • Dissolve (समाप्त करना/घोलना): To disappear or cause something to end or disappear.
  • Postpone (स्थगित करना): To arrange for something to take place at a time later than that first scheduled.
43

Which of the following is the most appropriate option to fill in the blank labelled as (D)?

  1. ((a))

    Replenished

  2. ((b))

    Amplified

  3. ((c))

    Depleted

  4. ((d))

    Fortified

  5. ((e))

    Augmented

Show Answer
Answer: ((c))

Depleted

The correct answer is 'depleted'.

 

Key Points

  • The passage discusses the psychological phenomenon of "revenge bedtime procrastination" and how daily stress affects willpower.
  • The sentence explains that a "gruelling workday" uses up cognitive resources, making it hard to stop scrolling and go to sleep.
  • "Depleted" means used up or exhausted, which fits the context of resources being drained by a demanding day.
  • Other options ("replenished", "amplified", "fortified", "augmented") suggest an increase or strengthening, which contradicts the idea of a "gruelling" day causing a lack of willpower.

Therefore, the correct answer is 'Option C'.

 

Complete Passage: In an era defined by constant connectivity and demanding work cultures, a peculiar psychological phenomenon has taken centre stage: revenge bedtime procrastination. This term describes the decision to delay sleep in response to a perceived lack of free time during the day. For many, the late-night hours represent the only sliver of the day where they can exercise total autonomy over their activities. Consequently, individuals willingly sacrifice crucial rest to engage in entertainment, scrolling through social media, or binge-watching shows activities that offer immediate gratification but ultimately lead to chronic sleep deprivation. Psychologists suggest that this behaviour is not merely a sign of laziness; rather, it highlights a profound failure of self-regulation. Interestingly, research indicates that bedtime procrastinators usually possess the intention to sleep but fail to translate that intention into action. This disconnect between intention and behaviour is often exacerbated by daytime stress. When cognitive resources are depleted by a gruelling workday, the willpower required to shut off a screen and turn off the lights is severely compromised. The consequences of this habit are far from benign. Over time, the resulting sleep deficit can significantly ______(E) cognitive functions, leading to daytime fatigue, reduced productivity, and heightened irritability. Furthermore, it creates a vicious cycle: poor sleep reduces emotional resilience the following day, making individuals more ______(F) to stress, which in turn fuels the urge to procrastinate again at night.

 

Additional Information

  • Replenished (फिर से भरना): To fill something up again after it has been used or emptied.
  • Amplified (प्रवर्धित): To increase the volume, strength, or amount of something.
  • Fortified (मजबूत): To make a place or a person's willpower stronger.
  • Augmented (संवर्धित): To increase the size, amount, or value of something.
44

Which of the following is the most appropriate option to fill in the blank labelled as (E)?

  1. ((a))

    Bolster

  2. ((b))

    Impair

  3. ((c))

    Elevate

  4. ((d))

    Refine

  5. ((e))

    Mitigate

Show Answer
Answer: ((b))

Impair

The correct answer is 'impair'.

 

Key Points

  • The passage discusses the negative consequences of "revenge bedtime procrastination" and the resulting sleep deficit.
  • The blank (E) requires a verb that describes the negative effect of a sleep deficit on "cognitive functions."
  • "Impair" means to weaken or damage something (especially a human faculty or function), which perfectly fits the context of how lack of sleep affects mental processes.
  • The context provides further clues like "daytime fatigue" and "reduced productivity," which are outcomes of impaired cognitive functions.

Therefore, the correct answer is 'Option B'.

 

Complete Passage: In an era defined by constant connectivity and demanding work cultures, a peculiar psychological phenomenon has taken centre stage: revenge bedtime procrastination. This term describes the decision to delay sleep in response to a perceived lack of free time during the day. For many, the late-night hours represent the only sliver of the day where they can exercise total autonomy over their activities. Consequently, individuals willingly sacrifice crucial rest to engage in entertainment, scrolling through social media, or binge-watching shows activities that offer immediate gratification but ultimately lead to chronic sleep deprivation. Psychologists suggest that this behaviour is not merely a sign of laziness; rather, it highlights a profound failure of self-regulation. Interestingly, research indicates that bedtime procrastinators usually possess the intention to sleep but fail to translate that intention into action. This disconnect between intention and behaviour is often exacerbated by daytime stress. When cognitive resources are depleted by a gruelling workday, the willpower required to shut off a screen and turn off the lights is severely compromised. The consequences of this habit are far from benign. Over time, the resulting sleep deficit can significantly impair cognitive functions, leading to daytime fatigue, reduced productivity, and heightened irritability. Furthermore, it creates a vicious cycle: poor sleep reduces emotional resilience the following day, making individuals more ______(F) to stress, which in turn fuels the urge to procrastinate again at night.

 

Additional Information

  • Bolster (मजबूत करना): To support or strengthen; the opposite of what a sleep deficit does to cognitive functions.
  • Elevate (बढ़ाना/ऊंचा करना): To raise or lift to a higher position or level.
  • Refine (सुधारना): To improve something by making small changes.
  • Mitigate (कम करना): To make something bad (like a problem or pain) less severe or serious. While it deals with negative things, one does not "mitigate" a function; one mitigates a risk or an effect.
45

Which of the following is the most appropriate option to fill in the blank labelled as (F)?

  1. ((a))

    Immune

  2. ((b))

    Insulated

  3. ((c))

    Resistant

  4. ((d))

    Susceptible

  5. ((e))

    Indifferent

Show Answer
Answer: ((d))

Susceptible

The correct answer is 'susceptible'.

 

Key Points

  • The passage discusses the psychological phenomenon of revenge bedtime procrastination and its impact on mental and physical health.
  • The sentence indicates that poor sleep reduces emotional resilience, which makes a person more likely to be affected or harmed by stress.
  • "Susceptible" fits perfectly here as it means likely or liable to be influenced or harmed by a particular thing.
  • Other options like "immune", "insulated", and "resistant" are antonyms in this context, suggesting protection from stress, which contradicts the idea of reduced resilience.

Therefore, the correct answer is 'Option D'.

 

Complete Passage: In an era defined by constant connectivity and demanding work cultures, a peculiar psychological phenomenon has taken centre stage: revenge bedtime procrastination. This term describes the decision to delay sleep in response to a perceived lack of free time during the day. For many, the late-night hours represent the only sliver of the day where they can exercise total autonomy over their activities. Consequently, individuals willingly sacrifice crucial rest to engage in entertainment, scrolling through social media, or binge-watching shows activities that offer immediate gratification but ultimately lead to chronic sleep deprivation. Psychologists suggest that this behaviour is not merely a sign of laziness; rather, it highlights a profound failure of self-regulation. Interestingly, research indicates that bedtime procrastinators usually possess the intention to sleep but fail to translate that intention into action. This disconnect between intention and behaviour is often exacerbated by daytime stress. When cognitive resources are depleted by a gruelling workday, the willpower required to shut off a screen and turn off the lights is severely compromised. The consequences of this habit are far from benign. Over time, the resulting sleep deficit can significantly impair cognitive functions, leading to daytime fatigue, reduced productivity, and heightened irritability. Furthermore, it creates a vicious cycle: poor sleep reduces emotional resilience the following day, making individuals more susceptible to stress, which in turn fuels the urge to procrastinate again at night.

 

Additional Information

  • Immune (प्रतिरक्षित): Resistant to a particular infection or negative influence.
  • Insulated (अछूता/अलग किया हुआ): Protected from something unpleasant or dangerous.
  • Resistant (प्रतिरोधी): Able to withstand or exert force against something.
  • Indifferent (उदासीन): Having no particular interest or sympathy; unconcerned.
46

Read the sentence below to find out if there is any error in it. The error, if any, will be in one part of the sentence. The letter of that part is the answer. If there is no error the answer is (5). (Ignore errors in punctuation if any)

Absolute (A)/ no deterrent (B)/ to this kind (C)/ of behavior. (D)/ No Error (E)

  1. ((a))

    A

  2. ((b))

    B

  3. ((c))

    C

  4. ((d))

    D

  5. ((e))

    E

Show Answer
Answer: ((a))

A

The correct answer is option 1.

Key Points

  • The error in part A of a sentence, the error is in usage 'Absolute'
  • Here, we need to use the adverb form of 'Absolute'
  • Hence we need to replace 'Absolute' with 'Absolutely'

Correct sentence - Absolutely no deterrent to this kind of behavior.​

Additional Information

  • Adverbs usually end with 'ly'.
  • If any additional information is given regarding verbs then it is considered as an adverb.
  • In the given sentence the adverb absolutely Describes the verb deterrent
47

Read the sentence below to find out if there is any error in it. The error, if any, will be in one part of the sentence. The letter of that part is the answer. If there is no error the answer is (5). (Ignore errors in punctuation if any).

When State politics mattered to (A)/national electoral outcomes. (B)/Fiscal or administrative centralization persisted**(C)/ despite nearly two decades of coalition governments.(D)/ No error(E)**

  1. ((a))

    A

  2. ((b))

    B

  3. ((c))

    C

  4. ((d))

    D

  5. ((e))

    E

Show Answer
Answer: ((c))

C

The correct answer is option 3.

 

  • The error is in Part C of the sentence, the error is in use of or.
  • Coordinate adjectives should be separated by a comma or the word and.
  • Adjectives are said to be coordinated if they modify the same noun in a sentence.
  • Hence in the given sentence 'or' should be replaced with 'and'.​

Correct sentence*-* When state politics mattered to national electoral outcomes, fiscal and administrative centralization persisted despite nearly two decades of coalition governments

 

  • Adjective is the word that gives additional information regarding the noun.
48

Read the sentence below to find out if there is any error in it. The error, if any, will be in one part of the sentence. The letter of that part is the answer. If there is no error the answer is (5). (Ignore errors in punctuation if any)

Representatives of various trader bodies (A)/ claimed that crowding is main (B)/ due to the presence of street vendors (C)/ and it is up to the administration to prevent it (D)/ No error (E).

  1. ((a))

    A

  2. ((b))

    B

  3. ((c))

    C

  4. ((d))

    D

  5. ((e))

    E

Show Answer
Answer: ((b))

B

The correct answer is option 2.

Key Points 

  • The error in part B of a sentence, the error is in usage 'main'
  • Here, we need to use the adverb form of 'main'
  • Hence we need to replace 'main' with 'mainly'

Correct answerRepresentatives of various trader bodies claimed that crowding is mainly due to the presence of street vendors and it is up to the administration to prevent it.

Additional Information

  • Adverbs usually end with 'ly'.
  • If any additional information is given regarding verbs then it is considered as an adverb.
  • In the given sentence the adverb mainly Describes the verb crowding.
49

In the following, two columns are given containing three phrases each. In the first column, phrases are A, B, and, C and in the second column, the are D, E, and F. A phrase from the first column may or may not connect with a phrase from the second column to make a grammatically and contextually correct sentence. If none of the options given forms a correct sentence after combination, select 'None of these' as your answer.

Column IColumn II
(A) Once we establish our goals,(D) with lots of twists and turns.
(B) It is a current event(E) completion of disengagement of frontline troops.
(C) The two sides positively appraised the smooth(F) we will identify more potential employers.
  1. ((a))

    B-E

  2. ((b))

    B-D

  3. ((c))

    A-E

  4. ((d))

    C-D

  5. ((e))

    None of these

Show Answer
Answer: ((b))

B-D

The correct answer is B-D.

Key Points

  • Let's look at the correct combinations:
  • A-F: Once we establish our goals, we will identify more potential employers.
  • B-D: It is a current event with lots of twists and turns.
  • C-E: The two sides positively appraised the smooth completion of disengagement of frontline troops.
  • The combination A-F is contextually correct as part A states 'Once we establish our goals', and part F sequentially completes the sentence stating 'we will identify more potential employers'.
  • The combination B-D is contextually correct as part B states 'It is a current event', and part D completes the sentence stating 'with lots of twists and turns'.
  • The combination C-E is contextually correct as part C states, **'The two sides positively appraised the smooth', and part E completes the sentence stating 'completion of disengagement of frontline troops'.

Hence, the only correct combination in the options is B-D.

Below are given some sentences out of which the sentence numbered 4 has been correctly placed. The rest of the sentences A, B, C, D, E, F need to be arranged correctly in order to form a logical order.

A. The early modern period in Europe gave rise to huge technological and cultural developments that completely transformed European society.

B. Historians have divided history into three divisions, namely antiquity, the mediaeval period and the modern period.

C. This period also saw the birth of scholasticism, a philosophy that put reason over faith - and the birth of universities.

  1. The middle mediaeval period in Europe also saw the establishment of feudalism and manorialism as kings became the heads of states and succeeded in reducing crime and violence greatly.

D. The early mediaeval period in Europe was characterized by population declines, invasions, mass migrations and the collapse of central authority.

E. However, the late mediaeval period in Europe was marked by famines and plagues which greatly reduced her population.

F. The middle mediaeval period was, however, a good period for Europe as its population grew substantially due to technological and agricultural innovations which increased crop yields.

50

Which of the following is the SEVENTH statement?

  1. ((a))

    E

  2. ((b))

    B

  3. ((c))

    F

  4. ((d))

    A

  5. ((e))

    C

Show Answer
Answer: ((d))

A

The correct answer is Option 4.

Key Points

  • The first sentence is B as it introduces the topic of History and its division into three categories.
  • D will follow B as D is about the early mediaeval period. There is no sentence about the first category – antiquity.
  • F follows D as it is about the middle mediaeval period – a period directly after the early mediaeval period.
  • Sentence 4 with ‘also’ states another positive factor about the middle mediaeval period – the establishment of feudalism and manorialism.
  • C follows directly after 4 with ‘This period’ which states other positive factors about the middle mediaeval period, namely the birth of universities and the age of reason over faith.
  • E follows C by stating ‘however’ – and goes on to state the negative factors about European society during the late mediaeval period.
  • A concludes the paragraph as it is the only sentence about the early modern period.

The correct order is BDF4CEA.

The SEVENTH statement is A.

51

Which of the following is the SIXTH statement?

  1. ((a))

    E

  2. ((b))

    D

  3. ((c))

    C

  4. ((d))

    A

  5. ((e))

    B

Show Answer
Answer: ((a))

E

The correct answer is Option 1.

Key Points

  • The first sentence is B as it introduces the topic of History and its division into three categories.
  • D will follow B as D is about the early mediaeval period. There is no sentence about the first category – antiquity.
  • F follows D as it is about the middle mediaeval period – a period directly after the early mediaeval period.
  • Sentence 4 with ‘also’ states another positive factor about the middle mediaeval period – the establishment of feudalism and manorialism.
  • C follows directly after 4 with ‘This period’ which states other positive factors about the middle mediaeval period, namely the birth of universities and the age of reason over faith.
  • E follows C by stating ‘however’ – and goes on to state the negative factors about European society during the late mediaeval period.
  • A concludes the paragraph as it is the only sentence about the early modern period.

The correct order is BDF4CEA.

The SIXTH statement is E.

52

Which of the following is the FIFTH statement?

  1. ((a))

    D

  2. ((b))

    C

  3. ((c))

    A

  4. ((d))

    F

  5. ((e))

    B

Show Answer
Answer: ((b))

C

The correct answer is Option 2.

Key Points

  • The first sentence is B as it introduces the topic of History and its division into three categories.
  • D will follow B as D is about the early mediaeval period. There is no sentence about the first category – antiquity.
  • F follows D as it is about the middle mediaeval period – a period directly after the early mediaeval period.
  • Sentence 4 with ‘also’ states another positive factor about the middle mediaeval period – the establishment of feudalism and manorialism.
  • C follows directly after 4 with ‘This period’ which states other positive factors about the middle mediaeval period, namely the birth of universities and the age of reason over faith.
  • E follows C by stating ‘however’ – and goes on to state the negative factors about European society during the late mediaeval period.
  • A concludes the paragraph as it is the only sentence about the early modern period.

The correct order is BDF4CEA.

The FIFTH statement is C.

53

Which of the following is the SECOND statement?

  1. ((a))

    E

  2. ((b))

    C

  3. ((c))

    D

  4. ((d))

    F

  5. ((e))

    A

Show Answer
Answer: ((c))

D

The correct answer is Option 3.

Key Points

  • The first sentence is B as it introduces the topic of History and its division into three categories.
  • D will follow B as D is about the early mediaeval period. There is no sentence about the first category – antiquity.
  • F follows D as it is about the middle mediaeval period – a period directly after the early mediaeval period.
  • Sentence 4 with ‘also’ states another positive factor about the middle mediaeval period – the establishment of feudalism and manorialism.
  • C follows directly after 4 with ‘This period’ which states other positive factors about the middle mediaeval period, namely the birth of universities and the age of reason over faith.
  • E follows C by stating ‘however’ – and goes on to state the negative factors about European society during the late mediaeval period.
  • A concludes the paragraph as it is the only sentence about the early modern period.

The correct order is BDF4CEA.

The SECOND statement is D.

54

Which of the following is the FIRST statement?

  1. ((a))

    F

  2. ((b))

    D

  3. ((c))

    E

  4. ((d))

    A

  5. ((e))

    B

Show Answer
Answer: ((e))

B

The correct answer is Option 5.

Key Points

  • The first sentence is B as it introduces the topic of History and its division into three categories.
  • D will follow B as D is about the early mediaeval period. There is no sentence about the first category – antiquity.
  • F follows D as it is about the middle mediaeval period – a period directly after the early mediaeval period.
  • Sentence 4 with ‘also’ states another positive factor about the middle mediaeval period – the establishment of feudalism and manorialism.
  • C follows directly after 4 with ‘This period’ which states other positive factors about the middle mediaeval period, namely the birth of universities and the age of reason over faith.
  • E follows C by stating ‘however’ – and goes on to state the negative factors about European society during the late mediaeval period.
  • A concludes the paragraph as it is the only sentence about the early modern period.

The correct order is BDF4CEA.

The FIRST statement is B.

55

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

<br>

Benevolent

<br>

A. The benevolent dictator intentionally starved his citizens to maintain control.

B. An anonymous, benevolent donor paid for the children's medical bills.

C. Her benevolent smile made the nervous guests feel immediately welcome.

  1. ((a))

    Only B

  2. ((b))

    Only A

  3. ((c))

    Both B & C

  4. ((d))

    All A, B & C

  5. ((e))

    None of these

Show Answer
Answer: ((c))

Both B & C

The correct answer is: Option 3) Both B & C.

Key Points

  • The word "Benevolent" means well-meaning and kindly; showing kindness or goodwill. (परोपकारी/दयालु/भलाई करने वाला)
  • Example: The benevolent teacher always helped students who were struggling with their homework.
  • Correct Sentences Explanation:
  • Option B: "An anonymous, benevolent donor paid for the children's medical bills." — Here, benevolent (परोपकारी) is used correctly for someone who performs a kind and helpful act.
  • Option C: "Her benevolent smile made the nervous guests feel immediately welcome." — This also uses benevolent (दयालु) correctly, describing a smile that is kind and welcoming.

Therefore, the correct answer is- Option 3) Both B & C

Additional Information

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

  • Option 1) Only B (केवल B): Incomplete, as option C also uses "benevolent" correctly. (अधूरा विकल्प)
  • Option 2) Only A (केवल A): Sentence A — "The benevolent dictator intentionally starved his citizens to maintain control." — is incorrect, as benevolent means kind and well-meaning, but the action here is cruel. (यह गलत है क्योंकि 'benevolent' का अर्थ है दयालु, जबकि यहाँ क्रूरता दिखाई गई है।)
  • Option 4) All A, B & C (सभी A, B और C): Incorrect, as option A does not fit the meaning of benevolent. (गलत विकल्प)
  • Option 5) None of these (इनमें से कोई नहीं): Incorrect, as options B and C use "benevolent" correctly. (गलत विकल्प)
56

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

<br>

Alleviate

<br>

A. Taking an aspirin can quickly alleviate the symptoms of a mild headache.

B. The manager's rude comments only served to alleviate the tension in the room.

C. The new highway was built to alleviate traffic congestion downtown.

  1. ((a))

    Only A

  2. ((b))

    Both A & C

  3. ((c))

    Only B

  4. ((d))

    All A, B & C

  5. ((e))

    None of these

Show Answer
Answer: ((b))

Both A & C

The correct answer is: Option 2) Both A & C.

Key Points

  • The word "Alleviate" means to make something less severe, to ease or reduce pain, suffering, or a problem. (कम करना/ह्रास करना/हल्का करना)
  • Example: The doctor prescribed medication to alleviate her chronic back pain.
  • Correct Sentences Explanation:
  • Option A: "Taking an aspirin can quickly alleviate the symptoms of a mild headache." — Here, alleviate (कम करना) is used correctly, as aspirin reduces headache symptoms.
  • Option C: "The new highway was built to alleviate traffic congestion downtown." — This also uses alleviate (हल्का करना) correctly for reducing traffic problems.

Therefore, the correct answer is- Option 2) Both A & C

Additional Information

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

  • Option 1) Only A (केवल A): Incomplete, as option C also uses "alleviate" correctly. (अधूरा विकल्प)
  • Option 3) Only B (केवल B): Sentence B — "The manager's rude comments only served to alleviate the tension in the room." — is incorrect, as rude comments would likely increase, not reduce, tension. (यह गलत है क्योंकि 'alleviate' का अर्थ है कम करना, जबकि यहाँ तनाव बढ़ाने की बात है।)
  • Option 4) All A, B & C (सभी A, B और C): Incorrect, as option B does not fit the meaning of alleviate. (गलत विकल्प)
  • Option 5) None of these (इनमें से कोई नहीं): Incorrect, as options A and C use "alleviate" correctly. (गलत विकल्प)
57

Read the sentence below to find out if there is any error in it. The error, if any, will be in one part of the sentence. The letter of that part is the answer. If there is no error the answer is (5). (Ignore errors in punctuation if any)

The Delhi government has complete (A)/ failed the people of Delhi on all counts, (B)/ with no free power to the farmers in (C)/ the villages located in the national capital. (D)/ No error (E)

  1. ((a))

    A

  2. ((b))

    B

  3. ((c))

    C

  4. ((d))

    D

  5. ((e))

    E

Show Answer
Answer: ((a))

A

The Correct answer is option A

Key Points

  • The error in part A of a sentence, the error is in usage 'complete'
  • Here, we need to use the adverb form of 'Complete'
  • Hence we need to replace 'Complete' with 'Completely'

Correct sentence- The Delhi government has completely failed the people of Delhi on all counts, with no free power to the farmers in the villages located in the national capital.

Additional Information

  • Adverbs usually end with 'ly'.
  • If any additional information is given regarding verbs then it is considered as an adverb.
  • In the given sentence the adverb Competely Describes the verb Failed.

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 an era dominated by rapid urbanisation and industrialised supply chains, the concept of global food security has evolved far beyond mere crop availability; it now hinges critically on systemic safety, transparency, and nutritional integrity. Modern supermarkets are packed with heavily processed retail goods, yet everyday consumers are increasingly left in the dark. This is largely due to the rise of highly sophisticated, misleading advertisements that intentionally mask synthetic additives and harmful preservatives under the deceptive guise of "all-natural" healthy choices. To combat this growing information asymmetry, a new wave of digital intervention has emerged in the consumer market, primarily driven by mobile applications designed to scan ingredient labels and decode complex chemical compounds for the average shopper.

At the forefront of this modern technological crusade is Dr. Aris Thorne, a food scientist turned entrepreneur, who founded two distinct companies aimed at dismantling corporate opacity and protecting public health. His first venture, PureTrace, was designed as a consumer-centric mobile application that allowed users to scan barcodes to sort out harmful ingredients, hidden allergens, and toxic chemical dyes at the point of sale. While PureTrace successfully empowered the individual shopper, Dr. Thorne quickly realised that addressing the food crisis at the retail end was merely treating the symptom rather than the root cause. This critical realisation set in motion his second, far more ambitious venture: a __________ company named BlueTick.

Unlike PureTrace, which functioned purely as a reactive tool for cautious consumers, BlueTick was established to standardise the quality of food at the agricultural and processing levels, long before the products ever reached retail shelves. BlueTick utilises advanced blockchain ledgers and high-resolution spectrometry to identify chemical contamination, tracking food products from farm to fork. While PureTrace relied heavily on public awareness to pressure profit-driven manufacturers, BlueTick enforces systemic accountability by certifying whole supply chains. This dual-company approach highlights a fundamental truth in modern food safety: public scanning applications mean well and raise vital consumer awareness, but true food security is entirely impossible without institutional mechanisms explicitly telling us exactly where the contamination began. Ultimately, protecting what we eat requires both digital vigilance at the supermarket shelves and strict backend enforcement across global logistics.

58

According to the passage, what is PureTrace designed to do?

  1. ((a))

    Empower food manufacturers to improve food quality

  2. ((b))

    Scan ingredient labels to sort out harmful ingredients, hidden allergens, and toxic chemical dyes at the point of sale

  3. ((c))

    Provide blockchain technology for the agricultural sector

  4. ((d))

    Enhance nutritional integrity of retail goods

  5. ((e))

    Act as a backend enforcement mechanism across global logistics

Show Answer
Answer: ((b))

Scan ingredient labels to sort out harmful ingredients, hidden allergens, and toxic chemical dyes at the point of sale

The correct answer is Option 2.

 

Key Points

  • According to the second paragraph, PureTrace was established as a consumer-centric mobile application.
  • Its specific function is to allow users to scan barcodes at the point of sale to identify and sort out harmful ingredients, hidden allergens, and toxic chemical dyes.
  • The passage notes that while it empowers individual shoppers, it primarily treats the symptoms of the food crisis at the retail end rather than the root cause.
  • This aligns perfectly with Option 2, which describes these specific functionalities.

Therefore, the correct answer is 2.

 

Answer Context: "His first venture, PureTrace, was designed as a consumer-centric mobile application that allowed users to scan barcodes to sort out harmful ingredients, hidden allergens, and toxic chemical dyes at the point of sale."

 

Additional Information

  • A: "Empower food manufacturers..." – The passage states PureTrace is "consumer-centric," not manufacturer-centric.
  • C: "Provide blockchain technology..." – Blockchain technology and high-resolution spectrometry are features of Dr. Thorne's second company, BlueTick.
  • D: "Enhance nutritional integrity..." – While a general goal, PureTrace is specifically defined as a tool for scanning and sorting ingredients rather than physically altering or enhancing goods.
  • E: "Act as a backend enforcement mechanism..." – The passage explicitly attributes backend enforcement across global logistics to the dual-company approach, specifically the systemic accountability provided by BlueTick.
59

Which factor has not been cited as a result of urbanisation and industrialised supply chains in the passage?

  1. ((a))

    Decline in crop availability

  2. ((b))

    Systemic safety importance

  3. ((c))

    Need for transparency

  4. ((d))

    Nutritional integrity significance

  5. ((e))

    Rise of misleading advertisements

Show Answer
Answer: ((a))

Decline in crop availability

The correct answer is Option 1.

 

Key Points

  • The passage states that in the era of rapid urbanisation and industrialised supply chains, food security has evolved "far beyond mere crop availability."
  • While it mentions crop availability as the traditional focus, it does not state that there has been a "decline" in crop availability.
  • The passage explicitly identifies systemic safety, transparency, and nutritional integrity as the new critical hinges of food security due to these modern changes.
  • The rise of misleading advertisements is also cited as a result of the industrialised retail environment and heavily processed goods.

Therefore, the correct answer is 1.

 

Correct Factor: The passage mentions crop availability only to contrast it with new concerns; it never cites a decline in availability as a result of the mentioned processes.

 

Additional Information

  • B: Systemic safety – Cited in the first sentence as a critical factor food security now hinges on.
  • C: Need for transparency – Explicitly mentioned as a requirement for modern global food security.
  • D: Nutritional integrity – Listed alongside safety and transparency as a core evolution of the food security concept.
  • E: Misleading advertisements – Mentioned as a consequence of industrialised supply chains and the proliferation of processed goods in supermarkets.
60

Which of the following can be inferred from the passage regarding consumer awareness tools, like PureTrace?

  1. ((a))

    They solve the root cause of food contamination issues

  2. ((b))

    They primarily rely on institutional mechanisms

  3. ((c))

    They raise vital consumer awareness but do not enforce accountability at the supply chain level

  4. ((d))

    They are used to enhance agricultural practices

  5. ((e))

    They exclusively identify chemical contamination in food products

Show Answer
Answer: ((c))

They raise vital consumer awareness but do not enforce accountability at the supply chain level

The correct answer is 'Option 3'.

 

Key Points

  • Option C: They raise vital consumer awareness but do not enforce accountability at the supply chain level.
  • This can be inferred from the passage. The text states that "public scanning applications mean well and raise vital consumer awareness," but contrasts them with BlueTick, which "enforces systemic accountability by certifying whole supply chains." It explicitly mentions that PureTrace treats the "symptom rather than the root cause."
  • Option A: They solve the root cause of food contamination issues.
  • This cannot be inferred. The passage explicitly states that Dr. Thorne realized PureTrace was "merely treating the symptom rather than the root cause."
  • Option B: They primarily rely on institutional mechanisms.
  • This is incorrect. The passage suggests that while scanning applications raise awareness, "true food security is entirely impossible without institutional mechanisms," implying that these consumer tools (like PureTrace) lack those specific mechanisms.

Therefore, the correct answer is Option 3.

 

Additional Information

  • Option D: Incorrect because the passage attributes the standardization of quality at agricultural and processing levels to BlueTick, not consumer awareness tools like PureTrace.
  • Option E: Incorrect because PureTrace identifies "harmful ingredients, hidden allergens, and toxic chemical dyes," not "exclusively" chemical contamination.
61

What will fit in the blank taken from the passage: Dr. Aris Thorne's second, far more ambitious venture is a __________ company named BlueTick.

  1. ((a))

    marketing

  2. ((b))

    logistics

  3. ((c))

    assure

  4. ((d))

    pioneering

  5. ((e))

    retail

Show Answer
Answer: ((d))

pioneering

The correct answer is 'pioneering'.

 

Key Points

  • The word "pioneering" means being the first to develop or apply new methods, innovative, or leading. (अग्रणी)
  • Dr. Aris Thorne's venture "BlueTick" is described as ambitious, innovative, and leading in its approach in the given passage.
  • The other options: "marketing," "logistics," "assure," and "retail" do not fit the context as appropriately.

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

Complete Sentence: Dr. Aris Thorne's second, far more ambitious venture is a pioneering company named BlueTick.

Additional Information

  • Marketing (विपणन): means activities related to promoting and selling products or services.
  • Logistics (लॉजिस्टिक्स): means the detailed coordination of complex operations involving people, facilities, or supplies.
  • Assure (आश्वासन देना): means to tell someone something positively to dispel any doubts.
  • Retail (खुदरा): means the sale of goods to the public in relatively small quantities.

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 an era dominated by rapid urbanisation and industrialised supply chains, the concept of global food security has evolved far beyond mere crop availability; it now hinges critically on systemic safety, transparency, and nutritional integrity. Modern supermarkets are packed with heavily processed retail goods, yet everyday consumers are increasingly left in the dark. This is largely due to the rise of highly sophisticated, misleading advertisements that intentionally mask synthetic additives and harmful preservatives under the deceptive guise of "all-natural" healthy choices. To combat this growing information asymmetry, a new wave of digital intervention has emerged in the consumer market, primarily driven by mobile applications designed to scan ingredient labels and decode complex chemical compounds for the average shopper.

At the forefront of this modern technological crusade is Dr. Aris Thorne, a food scientist turned entrepreneur, who founded two distinct companies aimed at dismantling corporate opacity and protecting public health. His first venture, PureTrace, was designed as a consumer-centric mobile application that allowed users to scan barcodes to sort out harmful ingredients, hidden allergens, and toxic chemical dyes at the point of sale. While PureTrace successfully empowered the individual shopper, Dr. Thorne quickly realised that addressing the food crisis at the retail end was merely treating the symptom rather than the root cause. This critical realisation set in motion his second, far more ambitious venture: a __________ company named BlueTick.

Unlike PureTrace, which functioned purely as a reactive tool for cautious consumers, BlueTick was established to standardise the quality of food at the agricultural and processing levels, long before the products ever reached retail shelves. BlueTick utilises advanced blockchain ledgers and high-resolution spectrometry to identify chemical contamination, tracking food products from farm to fork. While PureTrace relied heavily on public awareness to pressure profit-driven manufacturers, BlueTick enforces systemic accountability by certifying whole supply chains. This dual-company approach highlights a fundamental truth in modern food safety: public scanning applications mean well and raise vital consumer awareness, but true food security is entirely impossible without institutional mechanisms explicitly telling us exactly where the contamination began. Ultimately, protecting what we eat requires both digital vigilance at the supermarket shelves and strict backend enforcement across global logistics.

62

According to the passage, which of the following statements is correct?
A. PureTrace was designed as a consumer-centric mobile application that allowed users to scan barcodes to identify harmful ingredients at the point of sale.
B. BlueTick was established to function as a reactive tool for cautious consumers at the retail level.
C. The passage suggests that true food security is impossible without institutional mechanisms for backend enforcement.

  1. ((a))

    Only A

  2. ((b))

    Only B

  3. ((c))

    Only C

  4. ((d))

    A and C

  5. ((e))

    B and C

Show Answer
Answer: ((d))

A and C

The correct answer is Option D.

 

Key Points

  • Statement A: PureTrace was designed as a consumer-centric mobile application that allowed users to scan barcodes to identify harmful ingredients at the point of sale.
  • This statement is correct as it accurately reflects the description of Dr. Thorne's first venture mentioned in the passage.
  • Statement B: BlueTick was established to function as a reactive tool for cautious consumers at the retail level.
  • This statement is incorrect; the passage states that PureTrace was the reactive tool, whereas BlueTick was established to standardise food quality at the agricultural and processing levels before reaching retail.
  • Statement C: The passage suggests that true food security is impossible without institutional mechanisms for backend enforcement.
  • This statement is correct as it aligns with the passage's concluding argument that digital vigilance must be paired with strict backend enforcement across global logistics.
  • Hence, statements A and C are identified as correct in the context of the provided passage.

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

63

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

  1. ((a))

    fix

  2. ((b))

    arrangement

  3. ((c))

    intention

  4. ((d))

    determined

  5. ((e))

    group

Show Answer
Answer: ((d))

determined

The correct answer is: Option 4 i.e., 'determined'.

Key Points

  • The word "set" in the context of "set in motion" means to initiate or start something (शुरू करना).
  • Example: The new policy set in motion a series of changes within the company.
  • "Determined" refers to having made a firm decision and being resolved not to change it; in this context, it means initiating something decisively. (दृढ़ निश्चयी)
  • Example: She was determined to succeed in her new business venture.

Therefore, the correct answer is: Option 4 i.e., 'determined'.

Additional Information

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

  • Fix (ठीक करना): To repair or correct something.
  • Example: He fixed the leaking faucet in the kitchen.
  • Arrangement (व्यवस्था): The action, process, or result of arranging or being arranged.
  • Example: The flowers were placed in an elegant arrangement on the table.
  • Intention (इरादा): A thing intended; an aim or plan.
  • Example: Her intention was to improve the quality of education at the school.
  • Group (समूह): A number of people or things that are located, gathered, or classed together.
  • Example: The tourists were guided through the museum in small groups.
64

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

  1. ((a))

    signify

  2. ((b))

    average

  3. ((c))

    method

  4. ((d))

    stingy

  5. ((e))

    intention

Show Answer
Answer: ((a))

signify

The correct answer is: Option 1 i.e., 'signify'.

Key Points

  • The word "mean" in the context of the passage refers to something that signifies or indicates a particular sense. (अर्थ रखना)
  • Example: The red light means that you must stop.
  • "Signify" means to be an indication of or to convey a meaning. (संकेत करना)
  • Example: A nod can signify agreement or acknowledgement.

Therefore, the correct answer is: Option 1 i.e., 'signify'.

Additional Information

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

  • Average (औसत): The result obtained by adding several quantities together and then dividing this total by the number of quantities.
  • Example: The average score of the class was 75%.
  • Method (विधि): A particular procedure for accomplishing or approaching something.
  • Example: She discovered a new method for solving the puzzle.
  • Stingy (कंजूस): Unwilling to give or spend; ungenerous.
  • Example: The wealthy man was known for being stingy with his money.
  • Intention (इरादा): A thing intended; an aim or plan.
  • Example: Her intention was to improve the quality of education at the school.
65

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

  1. ((a))

    significant

  2. ((b))

    irrelevant

  3. ((c))

    revealing

  4. ((d))

    compelling

  5. ((e))

    articulate

Show Answer
Answer: ((b))

irrelevant

The correct answer is Option 2 i.e., Irrelevant.

Key Points

  • The word "telling", when used as an adjective, means having a striking or revealing effect; it refers to something that is significant or carries great weight in conveying a message. (प्रभावशाली/महत्वपूर्ण)
  • Example: The most telling evidence in the trial was the security footage that placed the suspect at the scene.
  • "Irrelevant" refers to something that is not connected with or relevant to the matter at hand; it lacks significance or importance in a particular context, making it the opposite of something that is telling. (अप्रासंगिक)
  • Example: The lawyer's questions were deemed irrelevant to the case and were dismissed by the judge.
  • Hence, we can infer that the opposite of 'telling' is 'irrelevant'.

Therefore, the correct answer is- Irrelevant.

Additional Information

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

  • Significant (महत्वपूर्ण): Sufficiently great or important to be worthy of attention; noteworthy.
  • Example: The discovery of the new vaccine is a significant breakthrough in medical history.
  • Revealing (प्रकट करने वाला): Making interesting or significant information known, especially about someone's character.
  • Example: The documentary provided a revealing look at the private life of the famous actor.
  • Compelling (सम्मोहक/बाध्यकारी): Evoking interest, attention, or admiration in a powerfully irresistible way.
  • Example: The witness gave a compelling account of the events that convinced the entire jury.
  • Articulate (सुस्पष्ट): Having or showing the ability to speak fluently and coherently.
  • Example: She is an articulate speaker who can explain complex ideas very clearly.

Quantitative Aptitude (35 questions)

The table shows total number of animals [ Herbivores, Carnivores, Omnivores], total number of Carnivores and omnivores animal, ratio of herbivores and omnivores animal in five different zoos [A, B, C, D and E].

ZooTotal number of animals [ Herbivores, Carnivores, Omnivores]Total number of Carnivores and omnivores animalRatio of herbivores and omnivores animal
A2141447:6
B23415819:18
C24816421:20
D2461563:2
E2641659:7
66

Herbivores animal in Zoo F is average number of herbivores animal in C and D together and carnivores and omnivores animal in F is 25% more than the same of Zoo D respectively. Find the total number of animal in zoo F?

  1. ((a))

    274

  2. ((b))

    282

  3. ((c))

    264

  4. ((d))

    216

  5. ((e))

    284

Show Answer
Answer: ((b))

282

Formula used:

Herbivores = Total animals − (Carnivores + Omnivores)

Ratio of Herbivores : Omnivores = H : O

Omnivores = Herbivores × O-part ÷ H-part

Carnivores = (Carnivores + Omnivores) − Omnivores

Calculations:

ZooTotal AnimalsC + OH : OHerbivores (H)Omnivores (O)Carnivores (C)
A2141447 : 6214 − 144 = 7070 × 6 ÷ 7 = 60144 − 60 = 84
B23415819 : 18234 − 158 = 7676 × 18 ÷ 19 = 72158 − 72 = 86
C24816421 : 20248 − 164 = 8484 × 20 ÷ 21 = 80164 − 80 = 84
D2461563 : 2246 − 156 = 9090 × 2 ÷ 3 = 60156 − 60 = 96
E2641659 : 7264 − 165 = 9999 × 7 ÷ 9 = 77165 − 77 = 88

 

Given:

H(C) = 84, H(D) = 90

C(D) = 96, O(D) = 60

Formula Used:

Average = Sum / 2

Increase 25% ⇒ ×1.25

Calculation:

⇒ H(F) = (84 + 90) / 2

⇒ 174 / 2 = 87

⇒ C(F) = 96 × 1.25

⇒ 120

⇒ O(F) = 60 × 1.25

⇒ 75

⇒ Total F = 87 + 120 + 75

⇒ = 282

∴ Total animals in Zoo F = 282

67

Find the difference between total animals in Zoo D and E together and Zoo B and C together.

  1. ((a))

    74

  2. ((b))

    33

  3. ((c))

    28

  4. ((d))

    22

  5. ((e))

    26

Show Answer
Answer: ((c))

28

Formula used:

Herbivores = Total animals − (Carnivores + Omnivores)

Ratio of Herbivores : Omnivores = H : O

Omnivores = Herbivores × O-part ÷ H-part

Carnivores = (Carnivores + Omnivores) − Omnivores

Calculations:

ZooTotal AnimalsC + OH : OHerbivores (H)Omnivores (O)Carnivores (C)
A2141447 : 6214 − 144 = 7070 × 6 ÷ 7 = 60144 − 60 = 84
B23415819 : 18234 − 158 = 7676 × 18 ÷ 19 = 72158 − 72 = 86
C24816421 : 20248 − 164 = 8484 × 20 ÷ 21 = 80164 − 80 = 84
D2461563 : 2246 − 156 = 9090 × 2 ÷ 3 = 60156 − 60 = 96
E2641659 : 7264 − 165 = 9999 × 7 ÷ 9 = 77165 − 77 = 88

 

Given:

D = 246, E = 264

B = 234, C = 248

Formula Used:

Difference = (Sum₁ − Sum₂)

Calculation:

⇒ (D + E) = 246 + 264 = 510

⇒ (B + C) = 234 + 248 = 482

⇒ Difference = 510 − 482 = 28

∴ Required difference = 28

68

Total animals in Zoo C is approximately what percent more or less than total animals in Zoo A?

  1. ((a))

    8%

  2. ((b))

    16%

  3. ((c))

    22%

  4. ((d))

    28%

  5. ((e))

    32%

Show Answer
Answer: ((b))

16%

Formula used:

Herbivores = Total animals − (Carnivores + Omnivores)

Ratio of Herbivores : Omnivores = H : O

Omnivores = Herbivores × O-part ÷ H-part

Carnivores = (Carnivores + Omnivores) − Omnivores

Calculations:

ZooTotal AnimalsC + OH : OHerbivores (H)Omnivores (O)Carnivores (C)
A2141447 : 6214 − 144 = 7070 × 6 ÷ 7 = 60144 − 60 = 84
B23415819 : 18234 − 158 = 7676 × 18 ÷ 19 = 72158 − 72 = 86
C24816421 : 20248 − 164 = 8484 × 20 ÷ 21 = 80164 − 80 = 84
D2461563 : 2246 − 156 = 9090 × 2 ÷ 3 = 60156 − 60 = 96
E2641659 : 7264 − 165 = 9999 × 7 ÷ 9 = 77165 − 77 = 88

 

Given:

Total A = 214, Total C = 248

Formula Used:

% = (Difference / Base) × 100

Calculation:

⇒ Difference = 248 − 214 = 34

⇒ % = (34 / 214) × 100

⇒ ≈ 15.89% = 16%

∴ Zoo C is 16% more than Zoo A

69

30% of herbivores animal shifted from zoo D to zoo E and 25% carnivores animal shifted from E to D. Find total number of animals in zoo E now?

  1. ((a))

    287

  2. ((b))

    226

  3. ((c))

    292

  4. ((d))

    269

  5. ((e))

    247

Show Answer
Answer: ((d))

269

Formula used:

Herbivores = Total animals − (Carnivores + Omnivores)

Ratio of Herbivores : Omnivores = H : O

Omnivores = Herbivores × O-part ÷ H-part

Carnivores = (Carnivores + Omnivores) − Omnivores

Calculations:

ZooTotal AnimalsC + OH : OHerbivores (H)Omnivores (O)Carnivores (C)
A2141447 : 6214 − 144 = 7070 × 6 ÷ 7 = 60144 − 60 = 84
B23415819 : 18234 − 158 = 7676 × 18 ÷ 19 = 72158 − 72 = 86
C24816421 : 20248 − 164 = 8484 × 20 ÷ 21 = 80164 − 80 = 84
D2461563 : 2246 − 156 = 9090 × 2 ÷ 3 = 60156 − 60 = 96
E2641659 : 7264 − 165 = 9999 × 7 ÷ 9 = 77165 − 77 = 88

 

Given:

D → H = 90, C = 96, O = 60

E → H = 99, C = 88, O = 77

Formula Used:

Remaining = Old − Out + In

Calculation:

⇒ 30% H from D → E

⇒ 90 × 30/100 = 27

⇒ New H(D) = 90 − 27 = 63

⇒ New H(E) = 99 + 27 = 126

⇒ 25% C from E → D

⇒ 88 × 25/100 = 22

⇒ New C(E) = 88 − 22 = 66

⇒ New C(D) = 96 + 22 = 118

Now Zoo E total:

⇒ H + C + O = 126 + 66 + 77 = 269

∴ Total animals in Zoo E = 269

70

Find the average number of carnivores across all zoos.

  1. ((a))

    74.5

  2. ((b))

    87.6

  3. ((c))

    84.5

  4. ((d))

    82.5

  5. ((e))

    98.6

Show Answer
Answer: ((b))

87.6

Formula used:

Herbivores = Total animals − (Carnivores + Omnivores)

Ratio of Herbivores : Omnivores = H : O

Omnivores = Herbivores × O-part ÷ H-part

Carnivores = (Carnivores + Omnivores) − Omnivores

Calculations:

ZooTotal AnimalsC + OH : OHerbivores (H)Omnivores (O)Carnivores (C)
A2141447 : 6214 − 144 = 7070 × 6 ÷ 7 = 60144 − 60 = 84
B23415819 : 18234 − 158 = 7676 × 18 ÷ 19 = 72158 − 72 = 86
C24816421 : 20248 − 164 = 8484 × 20 ÷ 21 = 80164 − 80 = 84
D2461563 : 2246 − 156 = 9090 × 2 ÷ 3 = 60156 − 60 = 96
E2641659 : 7264 − 165 = 9999 × 7 ÷ 9 = 77165 − 77 = 88

 

Given:

C(A) = 84, C(B) = 86, C(C) = 84, C(D) = 96, C(E) = 88

Formula Used:

Average = Sum / 5

Calculation:

⇒ Sum = 84 + 86 + 84 + 96 + 88 = 438

⇒ Average = 438 / 5 = 87.6

∴ Average = 87.6

71

Find the ratio of total herbivores in Zoo A and B together to omnivores in Zoo D and E together.

  1. ((a))

    111:113

  2. ((b))

    117:119

  3. ((c))

    114:113

  4. ((d))

    106:107

  5. ((e))

    146:137

Show Answer
Answer: ((e))

146:137

Formula used:

Herbivores = Total animals − (Carnivores + Omnivores)

Ratio of Herbivores : Omnivores = H : O

Omnivores = Herbivores × O-part ÷ H-part

Carnivores = (Carnivores + Omnivores) − Omnivores

Calculations:

ZooTotal AnimalsC + OH : OHerbivores (H)Omnivores (O)Carnivores (C)
A2141447 : 6214 − 144 = 7070 × 6 ÷ 7 = 60144 − 60 = 84
B23415819 : 18234 − 158 = 7676 × 18 ÷ 19 = 72158 − 72 = 86
C24816421 : 20248 − 164 = 8484 × 20 ÷ 21 = 80164 − 80 = 84
D2461563 : 2246 − 156 = 9090 × 2 ÷ 3 = 60156 − 60 = 96
E2641659 : 7264 − 165 = 9999 × 7 ÷ 9 = 77165 − 77 = 88

Given:

H(A) = 70, H(B) = 76

O(D) = 60, O(E) = 77

Formula Used:

Ratio = (Sum₁ : Sum₂)

Calculation:

⇒ H(A + B) = 70 + 76 = 146

⇒ O(D + E) = 60 + 77 = 137

⇒ Ratio = 146 : 137

∴ Required ratio = 146 : 137

72

A shopkeeper marks an article at ₹(x + 200). He gives a discount of 10% and still gains 20%. If the cost price of the article is ₹495, find the value of x.

  1. ((a))

    490

  2. ((b))

    520

  3. ((c))

    460

  4. ((d))

    440

  5. ((e))

    470

Show Answer
Answer: ((c))

460

Shortcut Trick

Ratio of Marked Price (MP) to Cost Price (CP) is given by (100 + Profit%) ÷ (100 − Discount%).

MP ÷ CP = (100 + 20) ÷ (100 − 10) = 120 ÷ 90 = 4 ÷ 3.

Given CP = 3 units = &inr;495 ⇒ 1 unit = 495 ÷ 3 = &inr;165.

MP = 4 units = 4 × 165 = &inr;660.

Since MP = x + 200, then x + 200 = 660 ⇒ x = 460.

∴ The correct answer is 460.

Alternate Method

Given: CP = &inr;495, Profit = 20%, Discount = 10%, MP = &inr;(x + 200). Formulas: SP = CP × (100 + Profit%) ÷ 100 | MP = SP × 100 ÷ (100 − Discount%).

Selling Price (SP) = 495 × (120 ÷ 100) = 495 × 1.2 = &inr;594.

Marked Price (MP) = 594 × (100 ÷ 90) = 594 × (10 ÷ 9) = 66 × 10 = &inr;660.

⇒ x + 200 = 660.

⇒ x = 660 − 200 = 460.

∴ The correct answer is 460.

Additional Information

Relation between CP and MP

The most efficient way to link Cost Price and Marked Price is the ratio formula: CP ÷ MP = (100 − D%) ÷ (100 + P%).

Markup Percentage

Markup% = (MP − CP) ÷ CP × 100. It represents how much more the shopkeeper marks the price above the cost price.

73

In how many different ways can the letters of the word “SUCCESS” be arranged such that no two S’s come together?

  1. ((a))

    420

  2. ((b))

    330

  3. ((c))

    240

  4. ((d))

    380

  5. ((e))

    120

Show Answer
Answer: ((e))

120

Shortcut Trick

Word SUCCESS has 7 letters: S, U, C, C, E, S, S. Letters other than S are U, C, C, E (4 letters).

Arrange U, C, C, E first: 4! ÷ 2! = 12 ways. These create 5 gaps for S: _ U _ C _ C _ E _.

Choose 3 gaps out of 5 for three S's: 5C3 = 10 ways.

Total ways = 12 × 10 = 120 ways.

∴ The correct answer is 120 ways.

Alternate Method

Given: Word = SUCCESS. Total letters = 7 (S: 3, U: 1, C: 2, E: 1).

Formula Used: Permutations with repetition = n! ÷ (p1! × p2! ...)

⇒ Step 1: Arrange letters U, C, C, E. Total = 4, Repeated C = 2 times.

⇒ Ways = 4! ÷ 2! = (4 × 3 × 2 × 1) ÷ 2 = 12.

⇒ Step 2: There are 4 letters, so there are (4 + 1) = 5 possible gaps to place S.

⇒ Step 3: Choose 3 gaps out of 5 for the three S's = 5C3.

5C3 = (5 × 4 × 3) ÷ (3 × 2 × 1) = 10.

⇒ Total ways = 12 × 10 = 120.

∴ The correct answer is 120 ways.

Additional Information

Gap Method

Used when certain items must not be together. Arrange other items first (n), then place restricted items in (n+1) gaps.

String Method (Bundling)

Used when certain items must ALWAYS be together. Treat the group as a single unit and arrange with other letters.

Permutation with Repetition

Total arrangements of n objects where p, q, r are identical = n! ÷ (p! × q! × r!).

74

Find the approximation value?

19.98% of √(249.98 + ?) = 76.09 ÷ 18.78

  1. ((a))

    180

  2. ((b))

    140

  3. ((c))

    160

  4. ((d))

    150

  5. ((e))

    120

Show Answer
Answer: ((d))

150

Calculation:

19.98% of √(249.98 + ?) = 76.09 ÷ 18.78

⇒ 20% √(250 + ?) = 76 ÷ 19

⇒ (1/5)√(250 + ?) = 4

⇒ √(250 + ?) = 20

⇒ 250 + ? = 400

⇒ ? = 150

Approximation value is 150

75

Find the approximation value?

136.10 ÷ 7.908 + 522.121 ÷ 17.91 − √1090 = ?

  1. ((a))

    29

  2. ((b))

    33

  3. ((c))

    13

  4. ((d))

    21

  5. ((e))

    19

Show Answer
Answer: ((c))

13

Calculation:

136.10 ÷ 7.908 + 522.121 ÷ 17.91 − √1090 = ?

⇒ 136 ÷ 8 + 522 ÷ 18 − √1089 = ?

⇒ 17 + 29 − 33 = 13

Approximation value is 13

76

Find the approximation value?

√1850 + ? = (35.901 ÷ 2.95) × 88.03

  1. ((a))

    1473

  2. ((b))

    983

  3. ((c))

    995

  4. ((d))

    963

  5. ((e))

    1013

Show Answer
Answer: ((e))

1013

Calculation:

√1850 + ? = (35.901 ÷ 2.95) × 88.03

⇒ √1849 + ? = (36 ÷ 3) × 88

⇒ 43 + ? = 12 × 88

⇒ 43 + ? = 1056

⇒ ? = 1013

Approximation value is 1013

77

Find the approximation value?

(482.56 × 19.87) ÷ 9.92 − 125.44 = ?

  1. ((a))

    824

  2. ((b))

    846

  3. ((c))

    964

  4. ((d))

    835

  5. ((e))

    864

Show Answer
Answer: ((d))

835

Calculation:

⇒ (482.56 × 19.87) ÷ 9.92 − 125.44 = ?

⇒ (480 × 20) ÷ 10 − 125

⇒ 960 − 125

⇒ 835

Approximation value is 835

78

Find the approximation value?

54.867 − 35.975 − 11.1491 − 1.743 = ?

  1. ((a))

    11

  2. ((b))

    12

  3. ((c))

    6

  4. ((d))

    3

  5. ((e))

    4

Show Answer
Answer: ((c))

6

Calculation:

54.867 − 35.975 − 11.1491 − 1.743 = ?

⇒ 55 − 36 − 11 − 2

⇒ 6

Approximation value is 6

79

A invests ₹15000 for whole year. B joins after 3 months with ₹x. Total profit is ₹840 and A’s share is ₹560. Find B’s investment.

  1. ((a))

    12000

  2. ((b))

    14000

  3. ((c))

    18000

  4. ((d))

    32400

  5. ((e))

    10000

Show Answer
Answer: ((e))

10000

Shortcut Trick

Ratio of Profit Share A : B = 560 : (840 − 560) = 560 : 280 = 2 : 1.

Ratio of Time A : B = 12 : (12 − 3) = 12 : 9 = 4 : 3.

Ratio of Investment = (Profit ÷ Time) ⇒ A : B = (2 ÷ 4) : (1 ÷ 3) = 1/2 : 1/3 = 3 : 2.

Since 3 units = ₹15000, then 1 unit = ₹5000.

Investment of B (x) = 2 units = 2 × 5000 = ₹10000.

∴ The correct answer is ₹10000.

Alternate Method

Given: A's Investment = ₹15000, A's Time = 12 months, B's Time = 9 months, Total Profit = ₹840, A's Profit = ₹560.

Formulas: Profit Ratio = (Investment1 × Time1) : (Investment2 × Time2)

⇒ B's Profit Share = Total Profit − A's Profit Share = 840 − 560 = ₹280.

⇒ Ratio of Profits (A : B) = 560 ÷ 280 = 2 ÷ 1.

⇒ (A's Investment × A's Time) ÷ (B's Investment × B's Time) = 2 ÷ 1.

⇒ (15000 × 12) ÷ (x × 9) = 2 ÷ 1.

⇒ 180000 ÷ 9x = 2 ÷ 1.

⇒ 20000 ÷ x = 2 ⇒ 2x = 20000.

⇒ x = 10000.

∴ The correct answer is ₹10000.

Additional Information

Partnership Basics

When investments are for different time periods, profit is distributed in the ratio of the product of capital and time.

Investment Calculation

Capital = Profit ÷ Time. This is useful when profit ratios and time durations are known but investment is missing.

80

Present age of father is 4 times son. 5 years ago, father was 5 times son. Find present age of mother if mother is 2 years younger than father?

  1. ((a))

    88

  2. ((b))

    72

  3. ((c))

    78

  4. ((d))

    74

  5. ((e))

    86

Show Answer
Answer: ((c))

78

Shortcut Trick

Ratio of Father and Son (Present) = 4 : 1 (Difference = 3)

Ratio of Father and Son (5 years ago) = 5 : 1 (Difference = 4)

Equating differences: Present (16 : 4) and 5 years ago (15 : 3)

Change in units = 1 unit → 5 years. Father's present age = 16 × 5 = 80 years.

Mother's age = 80 − 2 = 78 years.

∴ The correct answer is 78 years.

Alternate Method

Given: Present Age of Father (F) = 4 × Son (S)

5 years ago: (F − 5) = 5 × (S − 5)

⇒ (4S − 5) = 5S − 25

⇒ 5S − 4S = 25 − 5

⇒ S = 20 years

Father's present age = 4 × 20 = 80 years

Mother's age = Father − 2 = 80 − 2 = 78 years

∴ The correct answer is 78 years.

Additional Information

Ratio Difference Method

When the time gap is same for both people, the difference between their ages in the ratio must be made equal by multiplying with the cross-difference.

Linear Equation in Ages

Age 'n' years ago is (x − n) and age 'n' years hence is (x + n), where x is the present age.

Age Difference Property

The numerical difference between the ages of two persons remains constant throughout their lives.

81

Speed of boat in still water and stream are in ratio 5 : 2. Boat travels [x + 75] km downstream and 90 km upstream in 11 hours. Find the value of x if speed of boat in still water 25 km/hr?

  1. ((a))

    220

  2. ((b))

    100

  3. ((c))

    120

  4. ((d))

    180

  5. ((e))

    240

Show Answer
Answer: ((b))

100

Shortcut Trick

Ratio of Speed of Boat (u) : Speed of Stream (v) = 5 : 2.

Given u = 25 km/hr ⇒ 5 units = 25, so 1 unit = 5. Thus, v = 10 km/hr.

Downstream Speed = 25 + 10 = 35 km/hr; Upstream Speed = 25 − 10 = 15 km/hr.

Time Upstream = 90 ÷ 15 = 6 hours. Total time = 11 hours ⇒ Time Downstream = 11 − 6 = 5 hours.

Downstream Distance = 35 × 5 = 175 km. Therefore, x + 75 = 175 ⇒ x = 100.

∴ The correct answer is 100.

Alternate Method

Given: Ratio u:v = 5:2. Still water speed (u) = 25 km/hr. Upstream dist = 90 km. Total time = 11 hrs.

Formula: Downstream speed (D) = u + v | Upstream speed (U) = u − v | Time = Distance ÷ Speed.

⇒ 5 units = 25 ⇒ 1 unit = 5. So, Stream speed (v) = 2 × 5 = 10 km/hr.

⇒ Downstream speed (D) = 25 + 10 = 35 km/hr.

⇒ Upstream speed (U) = 25 − 10 = 15 km/hr.

⇒ Total Time = (Downstream Dist / D) + (Upstream Dist / U)

⇒ 11 = [(x + 75) / 35] + [90 / 15]

⇒ 11 = [(x + 75) / 35] + 6

⇒ 5 = (x + 75) / 35

⇒ 175 = x + 75

⇒ x = 100.

∴ The correct answer is 100.

Additional Information

Relative Speed in Water

Downstream speed is the sum (u + v) and Upstream speed is the difference (u − v).

Speed of Boat and Stream from D & U

Still water speed u = (D + U) ÷ 2 and Stream speed v = (D − U) ÷ 2.

Average Speed for Round Trip

If distance is same, Average Speed = (Downstream × Upstream) ÷ Still water speed.

82

Pipe A can fill a tank in 30 minutes and pipe B can empty it in 45 minutes. If both pipes are opened together, then the tank is filled in 90 minutes. Find the capacity of the tank if pipe B empties 12 litres per minute.

  1. ((a))

    560

  2. ((b))

    580

  3. ((c))

    480

  4. ((d))

    540

  5. ((e))

    520

Show Answer
Answer: ((d))

540

Shortcut Trick

Efficiency of Pipe B is given as 12 litres/minute.

Time taken by Pipe B to empty the full tank alone = 45 minutes.

Total Capacity = Rate of flow × Time taken.

Total Capacity = 12 litres/min × 45 minutes = 540 litres.

∴ The correct answer is 540 litres.

Alternate Method

Given: Filling time of Pipe A = 30 min, Emptying time of Pipe B = 45 min, Emptying rate of Pipe B = 12 litres/min.

PipeTime (min)Total Work (units)Efficiency (units/min)
Pipe A (Fill)3090+3
Pipe B (Empty)45−2

⇒ Net efficiency of (A + B) = 3 − 2 = +1 unit/min.

⇒ Combined time to fill = 90 ÷ 1 = 90 minutes (matches given data).

⇒ Actual rate of Pipe B = 12 litres/min.

⇒ Capacity = Pipe B rate × Pipe B time.

⇒ Capacity = 12 × 45 = 540 litres.

∴ The correct answer is 540 litres.

Additional Information

Pipes and Cisterns Logic

Filling pipes have positive efficiency, while emptying pipes (leaks) have negative efficiency.

Capacity Calculation

Total Capacity = Rate of flow (litres/hr or min) × Total time required to fill or empty the tank.

Net Work Done

If 1/x is the filling rate and 1/y is the emptying rate, then net rate = (1/x − 1/y).

The line graph shows number employee in primary and secondary sector in five different states [A, B, C, D and E].

 

Note – Number employee in primary sector is average of number of employees in secondary and tertiary sector in each five states [A, B, C, D and E].

83

The number of employees in primary sector of State F is equal to the average of primary employees of States A, B and C. Also, the ratio of total employees of State D and State E together to State F is 6 : 5. Ratio of secondary and tertiary sector employee in F is 3:1. Find the employee in secondary sector of F?

  1. ((a))

    284

  2. ((b))

    264

  3. ((c))

    232

  4. ((d))

    267

  5. ((e))

    258

Show Answer
Answer: ((d))

267

Given:

Primary = (Secondary + Tertiary) / 2

StatePrimary SectorSecondary Sector
A7292
B7478
C7672
D8496
E8864

 

Formula used:

Primary Sector = (Secondary + Tertiary) ÷ 2

Tertiary Sector = 2 × Primary − Secondary

Calculations:

For A:

⇒ Tertiary = 2 × 72 − 92

⇒ 144 − 92 = 52

For B:

⇒ Tertiary = 2 × 74 − 78

⇒ 148 − 78 = 70

For C:

⇒ Tertiary = 2 × 76 − 72

⇒ 152 − 72 = 80

For D:

⇒ Tertiary = 2 × 84 − 96

⇒ 168 − 96 = 72

For E:

⇒ Tertiary = 2 × 88 − 64

⇒ 176 − 64 = 112

StatePrimarySecondaryTertiary
A729252
B747870
C767280
D849672
E8864112

 

Calculations:

⇒ Primary employees in F = (72 + 74 + 76) ÷ 3

⇒ = 222 ÷ 3 = 74

Total employees in D = 84 + 96 + 72 = 252

Total employees in E = 88 + 64 + 112 = 264

⇒ Total employees in D and E together = 252 + 264 = 516

⇒ 516 : Total employees in F = 6 : 5

⇒ Total employees in F = 516 × 5 ÷ 6

⇒ 430

Let Secondary and Tertiary employees in F be 3x and x

⇒ 74 + 3x + x = 430

⇒ 74 + 4x = 430

⇒ 4x = 356

⇒ x = 89

⇒ Secondary employees in F = 3 × 89

⇒ 267

∴ Employees in secondary sector of State F = 267.

84

Total employees in State C is approximately what percent of total employees in State E?

  1. ((a))

    86%

  2. ((b))

    45%

  3. ((c))

    32%

  4. ((d))

    94%

  5. ((e))

    55%

Show Answer
Answer: ((a))

86%

Given:

Primary = (Secondary + Tertiary) / 2

StatePrimary SectorSecondary Sector
A7292
B7478
C7672
D8496
E8864

 

Formula used:

Primary Sector = (Secondary + Tertiary) ÷ 2

Tertiary Sector = 2 × Primary − Secondary

Calculations:

For A:

⇒ Tertiary = 2 × 72 − 92

⇒ 144 − 92 = 52

For B:

⇒ Tertiary = 2 × 74 − 78

⇒ 148 − 78 = 70

For C:

⇒ Tertiary = 2 × 76 − 72

⇒ 152 − 72 = 80

For D:

⇒ Tertiary = 2 × 84 − 96

⇒ 168 − 96 = 72

For E:

⇒ Tertiary = 2 × 88 − 64

⇒ 176 − 64 = 112

StatePrimarySecondaryTertiary
A729252
B747870
C767280
D849672
E8864112

 

Calculations:

Total employees in State C = 76 + 72 + 80

⇒ 228

Total employees in State E = 88 + 64 + 112

⇒ 264

⇒ Required percentage = 228 × 100 ÷ 264

⇒ 22800 ÷ 264

⇒ 86.36%

⇒ 86%

∴ Total employees in State C is approximately 86% of State E.

85

Find the difference between total employees of State D and E together and State B and C together.

  1. ((a))

    98

  2. ((b))

    66

  3. ((c))

    85

  4. ((d))

    69

  5. ((e))

    17

Show Answer
Answer: ((b))

66

Given:

Primary = (Secondary + Tertiary) / 2

StatePrimary SectorSecondary Sector
A7292
B7478
C7672
D8496
E8864

 

Formula used:

Primary Sector = (Secondary + Tertiary) ÷ 2

Tertiary Sector = 2 × Primary − Secondary

Calculations:

For A:

⇒ Tertiary = 2 × 72 − 92

⇒ 144 − 92 = 52

For B:

⇒ Tertiary = 2 × 74 − 78

⇒ 148 − 78 = 70

For C:

⇒ Tertiary = 2 × 76 − 72

⇒ 152 − 72 = 80

For D:

⇒ Tertiary = 2 × 84 − 96

⇒ 168 − 96 = 72

For E:

⇒ Tertiary = 2 × 88 − 64

⇒ 176 − 64 = 112

StatePrimarySecondaryTertiary
A729252
B747870
C767280
D849672
E8864112

 

Calculations:

Total employees in State D = 84 + 96 + 72

⇒ 252

Total employees in State E = 88 + 64 + 112

⇒ 264

⇒ Total employees in D and E together = 252 + 264

⇒ 516

Total employees in State B = 74 + 78 + 70

⇒ 222

Total employees in State C = 76 + 72 + 80

⇒ 228

⇒ Total employees in B and C together = 222 + 228

⇒ 450

⇒ Difference = 516 − 450

⇒ 66

∴ Required difference = 66.

86

If 25% employees from secondary sector of A and C together are transferred to tertiary sector of B, then find the new ratio of tertiary employees of B and C.

  1. ((a))

    7:8

  2. ((b))

    5:6

  3. ((c))

    11:8

  4. ((d))

    17:19

  5. ((e))

    111:80

Show Answer
Answer: ((e))

111:80

Given:

Primary = (Secondary + Tertiary) / 2

StatePrimary SectorSecondary Sector
A7292
B7478
C7672
D8496
E8864

 

Formula used:

Primary Sector = (Secondary + Tertiary) ÷ 2

Tertiary Sector = 2 × Primary − Secondary

Calculations:

For A:

⇒ Tertiary = 2 × 72 − 92

⇒ 144 − 92 = 52

For B:

⇒ Tertiary = 2 × 74 − 78

⇒ 148 − 78 = 70

For C:

⇒ Tertiary = 2 × 76 − 72

⇒ 152 − 72 = 80

For D:

⇒ Tertiary = 2 × 84 − 96

⇒ 168 − 96 = 72

For E:

⇒ Tertiary = 2 × 88 − 64

⇒ 176 − 64 = 112

StatePrimarySecondaryTertiary
A729252
B747870
C767280
D849672
E8864112

 

Calculations:

Secondary employees in A = 92

Secondary employees in C = 72

⇒ Total secondary employees in A and C = 92 + 72 = 164

⇒ 25% transferred = 164 × 25 ÷ 100

⇒ 41

Tertiary employees in B = 70

⇒ New tertiary employees in B = 70 + 41

⇒ 111

Tertiary employees in C = 80

⇒ Required ratio = 111 : 80

∴ New ratio of tertiary employees of B and C = 111 : 80.

87

Find the average number of employees in the tertiary sector of all states.

  1. ((a))

    98.5

  2. ((b))

    66.5

  3. ((c))

    47.5

  4. ((d))

    77.2

  5. ((e))

    76.8

Show Answer
Answer: ((d))

77.2

Given:

Primary = (Secondary + Tertiary) / 2

StatePrimary SectorSecondary Sector
A7292
B7478
C7672
D8496
E8864

 

Formula used:

Primary Sector = (Secondary + Tertiary) ÷ 2

Tertiary Sector = 2 × Primary − Secondary

Calculations:

For A:

⇒ Tertiary = 2 × 72 − 92

⇒ 144 − 92 = 52

For B:

⇒ Tertiary = 2 × 74 − 78

⇒ 148 − 78 = 70

For C:

⇒ Tertiary = 2 × 76 − 72

⇒ 152 − 72 = 80

For D:

⇒ Tertiary = 2 × 84 − 96

⇒ 168 − 96 = 72

For E:

⇒ Tertiary = 2 × 88 − 64

⇒ 176 − 64 = 112

StatePrimarySecondaryTertiary
A729252
B747870
C767280
D849672
E8864112

 

Calculations:

Tertiary employees in A = 52

Tertiary employees in B = 70

Tertiary employees in C = 80

Tertiary employees in D = 72

Tertiary employees in E = 112

⇒ Total tertiary employees = 52 + 70 + 80 + 72 + 112

⇒ = 386

⇒ Average = 386 ÷ 5

⇒ = 77.2

∴ Average number of employees in tertiary sector = 77.2

88

Find the ratio of total employees in State A and B together to State D and E together.

  1. ((a))

    14:19

  2. ((b))

    11:19

  3. ((c))

    7:8

  4. ((d))

    18:19

  5. ((e))

    73:86

Show Answer
Answer: ((e))

73:86

Given:

Primary = (Secondary + Tertiary) / 2

StatePrimary SectorSecondary Sector
A7292
B7478
C7672
D8496
E8864

 

Formula used:

Primary Sector = (Secondary + Tertiary) ÷ 2

Tertiary Sector = 2 × Primary − Secondary

Calculations:

For A:

⇒ Tertiary = 2 × 72 − 92

⇒ 144 − 92 = 52

For B:

⇒ Tertiary = 2 × 74 − 78

⇒ 148 − 78 = 70

For C:

⇒ Tertiary = 2 × 76 − 72

⇒ 152 − 72 = 80

For D:

⇒ Tertiary = 2 × 84 − 96

⇒ 168 − 96 = 72

For E:

⇒ Tertiary = 2 × 88 − 64

⇒ 176 − 64 = 112

StatePrimarySecondaryTertiary
A729252
B747870
C767280
D849672
E8864112

 

Calculations:

Total employees in State A = 72 + 92 + 52

⇒ 216

Total employees in State B = 74 + 78 + 70

⇒ 222

⇒ Total employees in A and B together = 216 + 222

⇒ 438

Total employees in State D = 84 + 96 + 72

⇒ 252

Total employees in State E = 88 + 64 + 112

⇒ 264

⇒ Total employees in D and E together = 252 + 264

⇒ 516

⇒ Required ratio = 438 : 516

⇒ 73 : 86

∴ Required ratio = 73 : 86.

89

A trader sells two articles. On the first, he gains 25% and on the second, he loses 20%. If the selling price of both articles is the same and the overall gain is ₹60, find the cost price of each article.

  1. ((a))

    980 and 1600

  2. ((b))

    860 and 1500

  3. ((c))

    960 and 1550

  4. ((d))

    480 and 2200

  5. ((e))

    960 and 1500

Show Answer
Answer: ((e))

960 and 1500

Shortcut Trick

Article 1: 25% gain ⇒ CP1 : SP1 = 4 : 5. Article 2: 20% loss ⇒ CP2 : SP2 = 5 : 4.

Since Selling Price (SP) is same, equate SP to LCM(5, 4) = 20.

Ratio 1 × 4 ⇒ CP1 : SP = 16 : 20. Ratio 2 × 5 ⇒ CP2 : SP = 25 : 20.

Total CP = 16 + 25 = 41 units. Total SP = 20 + 20 = 40 units.

Net Loss = 1 unit. Given gain is ₹60 (likely a typo in source, net change is 60). If 1 unit = 60.

∴ The correct answer is 960 and 1500.

Alternate Method

Formulas: SP = CP × (100 ± P/L)% | Profit = Total SP − Total CP.

⇒ Let SP of each article be S. ⇒ CP1 = S ÷ 1.25 = 0.8S. CP2 = S ÷ 0.80 = 1.25S. ⇒ Total CP = 0.8S + 1.25S = 2.05S. Total SP = 2S. ⇒ Net change = Total SP − Total CP = 2S − 2.05S = −0.05S. ⇒ Given magnitude of change is ₹60 ⇒ 0.05S = 60 ⇒ S = 60 ÷ 0.05 = 1200. ⇒ CP1 = 0.8 × 1200 = 960. ⇒ CP2 = 1.25 × 1200 = 1500. ∴ The correct answer is 960 and 1500.

Additional Information

Case of Same Selling Price

When two items are sold at the same price, one at x% gain and another at y% loss, the overall gain or loss is determined by calculating individual cost prices based on the common SP.

Note on Mathematical Discrepancy

In this problem, the calculation shows a net loss of ₹60 (4000 − 4100 units), but the question mentions a gain. Following the magnitude of 60 leads to the values in Option 3.

90

In a school, the number of boys is (3x + 20) and the number of girls is (2x − 10). If 20% of boys and 30% of girls are absent and the number of students present is 237, find the value of x.

  1. ((a))

    65

  2. ((b))

    68

  3. ((c))

    66

  4. ((d))

    72

  5. ((e))

    60

Show Answer
Answer: ((e))

60

Shortcut Trick

Total Present Students = 80% of Boys + 70% of Girls = 237

0.8 × (3x + 20) + 0.7 × (2x − 10) = 237

2.4x + 16 + 1.4x − 7 = 237

3.8x + 9 = 237 ⇒ 3.8x = 228 ⇒ x = 228 ÷ 3.8 = 60

∴ The correct answer is 60.

Alternate Method

Given:

Number of Boys = 3x + 20

Number of Girls = 2x − 10

Formula Used:

Present students = Total students × (100% − Absent %)

Calculations:

⇒ Present Boys = (3x + 20) × (100% − 20%) = (3x + 20) × 0.8

⇒ Present Girls = (2x − 10) × (100% − 30%) = (2x − 10) × 0.7

⇒ Total Present = 0.8(3x + 20) + 0.7(2x − 10) = 237

⇒ 2.4x + 16 + 1.4x − 7 = 237

⇒ 3.8x + 9 = 237

⇒ 3.8x = 228

⇒ x = 228 ÷ 3.8 = 60

∴ The correct answer is 60.

Additional Information

Percentage Base Change

If a value decreases by p%, the remaining value is (100 − p)% of the original base.

Linear Equations

To find the value of an unknown variable x, group all terms with x on one side and constant terms on the other side of the equation.

91

A box contains 5 red balls, 4 blue balls, and 3 green balls. Two balls are drawn one after another without replacement. What is the probability that both balls are of different colors?

  1. ((a))

    18/29

  2. ((b))

    22/29

  3. ((c))

    17/29

  4. ((d))

    47/66

  5. ((e))

    7/13

Show Answer
Answer: ((d))

47/66

Shortcut Trick

Total balls = 5 + 4 + 3 = 12

P(Different colors) = 1 − P(Same color)

P(Same color) = [5C2 + 4C2 + 3C2] ÷ 12C2

P(Same color) = [10 + 6 + 3] ÷ 66 = 19/66

P(Different colors) = 1 − 19/66 = 47/66

∴ The correct answer is 47/66.

Alternate Method

Given: Red balls = 5, Blue balls = 4, Green balls = 3. Total balls = 12. Two balls drawn without replacement.

Formula Used: Probability = (Favorable Outcomes) ÷ (Total Outcomes)

⇒ Total ways to draw 2 balls from 12 = 12C2 = (12 × 11) ÷ (2 × 1) = 66

⇒ Ways to draw 2 balls of same color = (2 Red) OR (2 Blue) OR (2 Green)

⇒ Ways = 5C2 + 4C2 + 3C2

⇒ Ways = [(5×4)/2] + [(4×3)/2] + [(3×2)/2] = 10 + 6 + 3 = 19

⇒ Probability (Same color) = 19/66

⇒ Probability (Different colors) = 1 − 19/66 = 47/66

∴ The correct answer is 47/66.

Additional Information

Complementary Events

The sum of the probability of an event happening and not happening is always 1. P(A) + P(A') = 1.

Combinations Formula

Used for selection where order doesn't matter: nCr = n! ÷ [r! × (n−r)!].

Without Replacement Rule

When drawing items without replacement, the total number of available outcomes decreases by 1 after each draw.

92

Find the missing number of series?

3, 8, 27, 112, 565, ?

  1. ((a))

    8456

  2. ((b))

    9664

  3. ((c))

    3254

  4. ((d))

    6644

  5. ((e))

    3396

Show Answer
Answer: ((e))

3396

Calculation:

The logic followed here is:

×2 + 2, ×3 + 3, ×4 + 4, ×5 + 5, ×6 + 6

⇒ 3 × 2 + 2 = 8

⇒ 8 × 3 + 3 = 27

⇒ 27 × 4 + 4 = 112

⇒ 112 × 5 + 5 = 565

⇒ 565 × 6 + 6 = 3396

Answer = 3396

93

Find the missing number of series?

10.24, 17.64, 27.04, 38.44, ?

  1. ((a))

    66.04

  2. ((b))

    54.84

  3. ((c))

    51.84

  4. ((d))

    74.84

  5. ((e))

    64.64

Show Answer
Answer: ((c))

51.84

Calculation:

The logic followed here is:

(3.2)² = 10.24

(4.2)² = 17.64

(5.2)² = 27.04

(6.2)² = 38.44

(7.2)² = 51.84

Answer = 51.84

94

Find the missing number of series?

152, 593, ?, 3513, 3498

  1. ((a))

    1354

  2. ((b))

    2875

  3. ((c))

    1254

  4. ((d))

    1764

  5. ((e))

    2145

Show Answer
Answer: ((d))

1764

Calculation:

The logic followed here is:

⇒ 152 × 4 - 15 = 593

⇒ 593 × 3 − 15 = 1764

⇒ 1764 × 2 - 15 = 3513

⇒ 3513 × 1 − 15 = 3498

Hence the correct answer is 1764.

95

Find the missing number of series?

7, 22, 68, 207, 625, ?

  1. ((a))

    1760

  2. ((b))

    1960

  3. ((c))

    2160

  4. ((d))

    1880

  5. ((e))

    1680

Show Answer
Answer: ((d))

1880

Calculation:

The logic followed here is:

×3 + 1, +2, +3, +4…

⇒ 7 × 3 + 1 = 22

⇒ 22 × 3 + 2 = 68

⇒ 68 × 3 + 3 = 207

⇒ 207 × 3 + 4 = 625

⇒ 625 × 3 + 5 = 1880

Answer = 1880

96

Find the missing number of series?

46, 69, 103, 148, 204, ?

  1. ((a))

    254

  2. ((b))

    232

  3. ((c))

    271

  4. ((d))

    284

  5. ((e))

    264

Show Answer
Answer: ((c))

271

Calculation:

The logic followed here is:

Check differences

⇒ 69 − 46 = 23

⇒ 103 − 69 = 34

⇒ 148 − 103 = 45

⇒ 204 − 148 = 56

Pattern:

23, 34, 45, 56 → increasing by +11

Next:

⇒ 204 + 67 = 271

Answer = 271

97

Type A rice costs ₹25/kg and type B costs ₹35/kg. They are mixed and sold at ₹36/kg at 20% profit. Find the ratio of mixing.

  1. ((a))

    2:1

  2. ((b))

    3:2

  3. ((c))

    2:5

  4. ((d))

    5:4

  5. ((e))

    1:1

Show Answer
Answer: ((e))

1:1

Shortcut Trick

Use the Alligation Method on the cost prices.

Selling Price (SP) = ₹36/kg and Profit = 20%.

Cost Price of Mixture (Mean CP) = SP × 100 ÷ (100 + P%) = 36 × 100 ÷ 120 = ₹30/kg.

Ratio (Type A : Type B) = (35 − 30) : (30 − 25) = 5 : 5 = 1 : 1.

∴ The correct answer is 1:1.

Alternate Method

Given → CPA = ₹25/kg, CPB = ₹35/kg, SPmix = ₹36/kg, Profit% = 20%. Formulas: CP = SP × 100 ÷ (100 + P%) | (Quantity 1 ÷ Quantity 2) = (CP2 − Mean CP) ÷ (Mean CP − CP1)

⇒ Calculate the Cost Price of the mixture: CPmix = 36 × (100 ÷ 120) = 30. ⇒ Apply the alligation rule: Ratio = (Higher CP − Mean CP) : (Mean CP − Lower CP). ⇒ Ratio = (35 − 30) : (30 − 25) = 5 : 5. ⇒ Simplified Ratio = 1 : 1.

∴ The correct answer is 1:1.

Additional Information

Rule of Alligation

It is used to find the ratio in which two ingredients at given prices must be mixed to produce a mixture at a Mean Price.

Cost Price vs Selling Price

Always ensure all values used in the Alligation diagram are of the same type (all Cost Prices or all Selling Prices with same profit/loss).

98

The average marks of 40 students is 65. 8 students with average 70 leave and 12 new students with average 60 join. Find the new average marks.

  1. ((a))

    45.65

  2. ((b))

    87.65

  3. ((c))

    96.64

  4. ((d))

    84.64

  5. ((e))

    62.73

Show Answer
Answer: ((e))

62.73

Shortcut Trick

Initial Average = 65 | Total Students = 40.

Net change from 8 students leaving: 8 × (65 − 70) = −40.

Net change from 12 students joining: 12 × (60 − 65) = −60.

Total Deviation = −40 − 60 = −100. New strength = 40 − 8 + 12 = 44.

New Average = 65 + (−100 ÷ 44) = 65 − 2.27 = 62.73.

∴ The correct answer is 62.73 marks.

Alternate Method

Given: Initial students = 40, Initial average = 65, Students left = 8 (avg 70), Students joined = 12 (avg 60).

Formula Used: Average = Total Sum ÷ Number of observations

⇒ Total initial marks = 40 × 65 = 2600

⇒ Marks of students who left = 8 × 70 = 560

⇒ Marks of students who joined = 12 × 60 = 720

⇒ New Total Sum = 2600 − 560 + 720 = 2760

⇒ New Number of students = 40 − 8 + 12 = 44

⇒ New Average = 2760 ÷ 44 = 62.7272...

∴ The correct answer is 62.73 marks.

Additional Information

Weighted Average

When multiple groups join or leave, the combined average is (n1a1 ± n2a2) ÷ (n1 ± n2).

Net Deviation Method

New Average = Old Average + (Total Deviation ÷ New Number of terms). This saves calculation time by avoiding large multiplications.

99

Length of train A is (3x + 60) m and length of train B is (2x + 100) m. Speed of train A is 90 km/hr and train B is 72 km/hr. If they cross each other in 8 seconds, find the value of x ?

  1. ((a))

    48

  2. ((b))

    44

  3. ((c))

    46

  4. ((d))

    54

  5. ((e))

    40

Show Answer
Answer: ((e))

40

Shortcut Trick

Total Relative Speed = (90 + 72) × 5/18 = 162 × 5/18 = 45 m/s.

Total Distance = Speed × Time = 45 × 8 = 360 m.

Sum of lengths = (3x + 60) + (2x + 100) = 5x + 160.

5x + 160 = 360 ⇒ 5x = 200 ⇒ x = 40.

∴ The correct answer is 40.

Alternate Method

Given:

Length of Train A (L1) = (3x + 60) m

Length of Train B (L2) = (2x + 100) m

Speed of Train A (S1) = 90 km/hr = 90 × 5/18 = 25 m/s

Speed of Train B (S2) = 72 km/hr = 72 × 5/18 = 20 m/s

Formula Used:

Relative Speed (Opposite Direction) = S1 + S2

Distance = Speed × Time

Calculations:

⇒ Total Distance = L1 + L2 = (3x + 60) + (2x + 100) = 5x + 160

⇒ Relative Speed = 25 + 20 = 45 m/s

⇒ Distance = Relative Speed × Time

⇒ 5x + 160 = 45 × 8

⇒ 5x + 160 = 360

⇒ 5x = 360 − 160

⇒ 5x = 200

⇒ x = 200 ÷ 5 = 40

∴ The correct answer is 40.

Additional Information

Relative Speed Concept

When two objects move in opposite directions, their relative speed is the sum of their individual speeds (S1 + S2). When moving in the same direction, it is the difference |S1 − S2|.

Unit Conversion

To convert km/hr to m/s, multiply by 5/18. To convert m/s to km/hr, multiply by 18/5.

Train Crossing Distance

When a train crosses another train or a platform/bridge, the total distance traveled is the sum of the lengths of the train and the other object.

100

A cylinder of radius 14 cm and height 21 cm is melted into a cone of height 21 cm. Find the radius of the cone?

  1. ((a))

    4√3

  2. ((b))

    11√3

  3. ((c))

    14√7

  4. ((d))

    14√5

  5. ((e))

    14√3

Show Answer
Answer: ((e))

14√3

Shortcut Trick

When a cylinder is melted into a cone of the same height, their volumes are equal.

Volume of Cylinder = Volume of Cone

π × Rcyl2 × H = (1/3) × π × Rcone2 × H

Rcone2 = 3 × Rcyl2 ⇒ Rcone = Rcyl × √3

Given Rcyl = 14 cm ⇒ Rcone = 14√3 cm.

∴ The correct answer is 14√3 cm.

Alternate Method

Given:

Radius of Cylinder (r1) = 14 cm

Height of Cylinder (h1) = 21 cm

Height of Cone (h2) = 21 cm

Formula Used:

Volume of Cylinder = πr2h

Volume of Cone = (1/3)πr2h

Calculations:

⇒ Volume of Cylinder = Volume of Cone

⇒ π × (14)2 × 21 = (1/3) × π × R2 × 21

⇒ 14 × 14 × 21 = (1/3) × R2 × 21

⇒ 196 = R2 / 3

⇒ R2 = 196 × 3

⇒ R = √(196 × 3)

⇒ R = 14√3 cm

∴ The correct answer is 14√3 cm.

Additional Information

Volume Invariance

When one 3D shape is melted and recast into another, the Total Volume remains constant unless wastage is mentioned.

Cylinder and Cone Relationship

If a cylinder and a cone have the same radius and height, the volume of the cylinder is exactly 3 times the volume of the cone.

Surface Area of Cone

Curved Surface Area (CSA) = πrl, where l is the slant height calculated as l = √(r2 + h2).

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