Official Paper

IBPS PO Prelims Memory Based Paper (Held On: 24 August 2025 Shift 1) (Previous Year Paper)

100 questions · 60 minutes · with answers · free

Reasoning Ability (35 questions)

Directions: Read the information and answer the given questions.

Seven persons, namely H, J, K, L, M, N, and P, joined an organization on the same month and same date but in different years - 1950, 1965, 1977, 1984, 1990, 2001, and 2012. They also prefer different hobbies, namely painting, cycling, singing, cooking, gaming, gardening, and traveling, but not necessarily in the same order. Their years of service are calculated with respect to the base year 2025.

The total years of service of N and H are a multiple of 5. More than four people joined between the person who likes gardening and the one who likes gaming. Four people joined between J and the person who likes cooking. The difference in years of service between the person who likes gaming and the person who likes singing is a multiple of 17. The person who likes gardening has fewer years of service than H. N’s years of service is not an odd number. K has more years of service than the person who likes singing. The years of service of the person who likes traveling is a multiple of 3, who joined immediately before L. Only one person joined between P and the one who likes cycling. L doesn't like cooking. Three people joined between N and the person who likes cooking, whose service years is not greater than 40 years.

1

How many persons has fewer service of years than the one who likes cycling?

  1. ((a))

    None

  2. ((b))

    One

  3. ((c))

    Two

  4. ((d))

    Three

  5. ((e))

    More than three

Show Answer
Answer: ((c))

Two

Given: Seven persons, namely H, J, K, L, M, N, and P, joined an organization on the same month and same date but in different years - 1950, 1965, 1977, 1984, 1990, 2001, and 2012. They also prefer different hobbies, namely painting, cycling, singing, cooking, gaming, gardening, and traveling, but not necessarily in the same order. Their years of service are calculated with respect to the base year 2025.

1. N’s years of service is not an odd number.  2. Three people joined between N and the person who likes cooking, whose service years is not greater than 40 years. 

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

Years (Service years)Case 1Case 2
PersonsHobbiesPersonsHobbies
1950 (75)
1965 (60)N
1977 (48)N
1984 (41)
1990 (35)
2001 (24)Cooking
2012 (13)Cooking

 

3. Four people joined between J and the person who likes cooking.

Years (Service years)Case 1Case 2
PersonsHobbiesPersonsHobbies
1950 (75)J
1965 (60)NJ
1977 (48)N
1984 (41)
1990 (35)
2001 (24)Cooking
2012 (13)Cooking

 

4. The years of service of the person who likes traveling is a multiple of 3, who joined immediately before L.  5. L doesn't like cooking.

Years (Service years)Case 1Case 2
PersonsHobbiesPersonsHobbies
1950 (75)J
1965 (60)NJ
1977 (48)TravelingNTraveling
1984 (41)LL
1990 (35)
2001 (24)Cooking
2012 (13)Cooking

 

6. The total years of service of N and H are a multiple of 5.

Now, we can eliminate Case 2.

Years (Service years)Case 1
PersonsHobbies
1950 (75)J
1965 (60)N
1977 (48)Traveling
1984 (41)L
1990 (35)H
2001 (24)Cooking
2012 (13)

 

7. The person who likes gardening has fewer years of service than H. 

Years (Service years)Case 1
PersonsHobbies
1950 (75)J
1965 (60)N
1977 (48)Traveling
1984 (41)L
1990 (35)H
2001 (24)Cooking
2012 (13)Gardening

 

  1. More than four people joined between the person who likes gardening and the one who likes gaming.
Years (Service years)Case 1
PersonsHobbies
1950 (75)JGaming
1965 (60)N
1977 (48)Traveling
1984 (41)L
1990 (35)H
2001 (24)Cooking
2012 (13)Gardening

 

9. The difference in years of service between the person who likes gaming and the person who likes singing is a multiple of 17. 

Years (Service years)Case 1
PersonsHobbies
1950 (75)JGaming
1965 (60)N
1977 (48)Traveling
1984 (41)LSinging
1990 (35)H
2001 (24)Cooking
2012 (13)Gardening

 

10. K has more years of service than the person who likes singing.  11. Only one person joined between P and the one who likes cycling.

Years (Service years)Case 1
PersonsHobbies
1950 (75)JGaming
1965 (60)N
1977 (48)KTraveling
1984 (41)LSinging
1990 (35)HCycling
2001 (24)Cooking
2012 (13)PGardening

 

This is our final arrangement,

Years (Service years)Case 1
PersonsHobbies
1950 (75)JGaming
1965 (60)NPainting
1977 (48)KTraveling
1984 (41)LSinging
1990 (35)HCycling
2001 (24)MCooking
2012 (13)PGardening

 

Hence, the correct answer is Two.

2

What is the total service of years of M and H?

  1. ((a))

    73 years

  2. ((b))

    84 years

  3. ((c))

    96 years

  4. ((d))

    59 years

  5. ((e))

    85 years

Show Answer
Answer: ((d))

59 years

Given: Seven persons, namely H, J, K, L, M, N, and P, joined an organization on the same month and same date but in different years - 1950, 1965, 1977, 1984, 1990, 2001, and 2012. They also prefer different hobbies, namely painting, cycling, singing, cooking, gaming, gardening, and traveling, but not necessarily in the same order. Their years of service are calculated with respect to the base year 2025.

1. N’s years of service is not an odd number.  2. Three people joined between N and the person who likes cooking, whose service years is not greater than 40 years. 

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

Years (Service years)Case 1Case 2
PersonsHobbiesPersonsHobbies
1950 (75)
1965 (60)N
1977 (48)N
1984 (41)
1990 (35)
2001 (24)Cooking
2012 (13)Cooking

 

3. Four people joined between J and the person who likes cooking.

Years (Service years)Case 1Case 2
PersonsHobbiesPersonsHobbies
1950 (75)J
1965 (60)NJ
1977 (48)N
1984 (41)
1990 (35)
2001 (24)Cooking
2012 (13)Cooking

 

4. The years of service of the person who likes traveling is a multiple of 3, who joined immediately before L.  5. L doesn't like cooking.

Years (Service years)Case 1Case 2
PersonsHobbiesPersonsHobbies
1950 (75)J
1965 (60)NJ
1977 (48)TravelingNTraveling
1984 (41)LL
1990 (35)
2001 (24)Cooking
2012 (13)Cooking

 

6. The total years of service of N and H are a multiple of 5.

Now, we can eliminate Case 2.

Years (Service years)Case 1
PersonsHobbies
1950 (75)J
1965 (60)N
1977 (48)Traveling
1984 (41)L
1990 (35)H
2001 (24)Cooking
2012 (13)

 

7. The person who likes gardening has fewer years of service than H. 

Years (Service years)Case 1
PersonsHobbies
1950 (75)J
1965 (60)N
1977 (48)Traveling
1984 (41)L
1990 (35)H
2001 (24)Cooking
2012 (13)Gardening

 

  1. More than four people joined between the person who likes gardening and the one who likes gaming.
Years (Service years)Case 1
PersonsHobbies
1950 (75)JGaming
1965 (60)N
1977 (48)Traveling
1984 (41)L
1990 (35)H
2001 (24)Cooking
2012 (13)Gardening

 

9. The difference in years of service between the person who likes gaming and the person who likes singing is a multiple of 17. 

Years (Service years)Case 1
PersonsHobbies
1950 (75)JGaming
1965 (60)N
1977 (48)Traveling
1984 (41)LSinging
1990 (35)H
2001 (24)Cooking
2012 (13)Gardening

 

10. K has more years of service than the person who likes singing.  11. Only one person joined between P and the one who likes cycling.

Years (Service years)Case 1
PersonsHobbies
1950 (75)JGaming
1965 (60)N
1977 (48)KTraveling
1984 (41)LSinging
1990 (35)HCycling
2001 (24)Cooking
2012 (13)PGardening

 

This is our final arrangement,

Years (Service years)Case 1
PersonsHobbies
1950 (75)JGaming
1965 (60)NPainting
1977 (48)KTraveling
1984 (41)LSinging
1990 (35)HCycling
2001 (24)MCooking
2012 (13)PGardening

 

Total years = 35 + 24 = 59 years.

Hence, the correct answer is 59 years.

3

Which hobby is preferred by the one who joined an organization in 1977?

  1. ((a))

    Gaming

  2. ((b))

    Travelling

  3. ((c))

    Cooking

  4. ((d))

    Cycling

  5. ((e))

    Singing

Show Answer
Answer: ((b))

Travelling

Given: Seven persons, namely H, J, K, L, M, N, and P, joined an organization on the same month and same date but in different years - 1950, 1965, 1977, 1984, 1990, 2001, and 2012. They also prefer different hobbies, namely painting, cycling, singing, cooking, gaming, gardening, and traveling, but not necessarily in the same order. Their years of service are calculated with respect to the base year 2025.

1. N’s years of service is not an odd number.  2. Three people joined between N and the person who likes cooking, whose service years is not greater than 40 years. 

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

Years (Service years)Case 1Case 2
PersonsHobbiesPersonsHobbies
1950 (75)
1965 (60)N
1977 (48)N
1984 (41)
1990 (35)
2001 (24)Cooking
2012 (13)Cooking

 

3. Four people joined between J and the person who likes cooking.

Years (Service years)Case 1Case 2
PersonsHobbiesPersonsHobbies
1950 (75)J
1965 (60)NJ
1977 (48)N
1984 (41)
1990 (35)
2001 (24)Cooking
2012 (13)Cooking

 

4. The years of service of the person who likes traveling is a multiple of 3, who joined immediately before L.  5. L doesn't like cooking.

Years (Service years)Case 1Case 2
PersonsHobbiesPersonsHobbies
1950 (75)J
1965 (60)NJ
1977 (48)TravelingNTraveling
1984 (41)LL
1990 (35)
2001 (24)Cooking
2012 (13)Cooking

 

6. The total years of service of N and H are a multiple of 5.

Now, we can eliminate Case 2.

Years (Service years)Case 1
PersonsHobbies
1950 (75)J
1965 (60)N
1977 (48)Traveling
1984 (41)L
1990 (35)H
2001 (24)Cooking
2012 (13)

 

7. The person who likes gardening has fewer years of service than H. 

Years (Service years)Case 1
PersonsHobbies
1950 (75)J
1965 (60)N
1977 (48)Traveling
1984 (41)L
1990 (35)H
2001 (24)Cooking
2012 (13)Gardening

 

  1. More than four people joined between the person who likes gardening and the one who likes gaming.
Years (Service years)Case 1
PersonsHobbies
1950 (75)JGaming
1965 (60)N
1977 (48)Traveling
1984 (41)L
1990 (35)H
2001 (24)Cooking
2012 (13)Gardening

 

9. The difference in years of service between the person who likes gaming and the person who likes singing is a multiple of 17. 

Years (Service years)Case 1
PersonsHobbies
1950 (75)JGaming
1965 (60)N
1977 (48)Traveling
1984 (41)LSinging
1990 (35)H
2001 (24)Cooking
2012 (13)Gardening

 

10. K has more years of service than the person who likes singing.  11. Only one person joined between P and the one who likes cycling.

Years (Service years)Case 1
PersonsHobbies
1950 (75)JGaming
1965 (60)N
1977 (48)KTraveling
1984 (41)LSinging
1990 (35)HCycling
2001 (24)Cooking
2012 (13)PGardening

 

This is our final arrangement,

Years (Service years)Case 1
PersonsHobbies
1950 (75)JGaming
1965 (60)NPainting
1977 (48)KTraveling
1984 (41)LSinging
1990 (35)HCycling
2001 (24)MCooking
2012 (13)PGardening

 

Hence, the correct answer is Traveling.

4

Who among the following likes gardening?

  1. ((a))

    M

  2. ((b))

    H

  3. ((c))

    N

  4. ((d))

    J

  5. ((e))

    P

Show Answer
Answer: ((e))

P

Given: Seven persons, namely H, J, K, L, M, N, and P, joined an organization on the same month and same date but in different years - 1950, 1965, 1977, 1984, 1990, 2001, and 2012. They also prefer different hobbies, namely painting, cycling, singing, cooking, gaming, gardening, and traveling, but not necessarily in the same order. Their years of service are calculated with respect to the base year 2025.

1. N’s years of service is not an odd number.  2. Three people joined between N and the person who likes cooking, whose service years is not greater than 40 years. 

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

Years (Service years)Case 1Case 2
PersonsHobbiesPersonsHobbies
1950 (75)
1965 (60)N
1977 (48)N
1984 (41)
1990 (35)
2001 (24)Cooking
2012 (13)Cooking

 

3. Four people joined between J and the person who likes cooking.

Years (Service years)Case 1Case 2
PersonsHobbiesPersonsHobbies
1950 (75)J
1965 (60)NJ
1977 (48)N
1984 (41)
1990 (35)
2001 (24)Cooking
2012 (13)Cooking

 

4. The years of service of the person who likes traveling is a multiple of 3, who joined immediately before L.  5. L doesn't like cooking.

Years (Service years)Case 1Case 2
PersonsHobbiesPersonsHobbies
1950 (75)J
1965 (60)NJ
1977 (48)TravelingNTraveling
1984 (41)LL
1990 (35)
2001 (24)Cooking
2012 (13)Cooking

 

6. The total years of service of N and H are a multiple of 5.

Now, we can eliminate Case 2.

Years (Service years)Case 1
PersonsHobbies
1950 (75)J
1965 (60)N
1977 (48)Traveling
1984 (41)L
1990 (35)H
2001 (24)Cooking
2012 (13)

 

7. The person who likes gardening has fewer years of service than H. 

Years (Service years)Case 1
PersonsHobbies
1950 (75)J
1965 (60)N
1977 (48)Traveling
1984 (41)L
1990 (35)H
2001 (24)Cooking
2012 (13)Gardening

 

  1. More than four people joined between the person who likes gardening and the one who likes gaming.
Years (Service years)Case 1
PersonsHobbies
1950 (75)JGaming
1965 (60)N
1977 (48)Traveling
1984 (41)L
1990 (35)H
2001 (24)Cooking
2012 (13)Gardening

 

9. The difference in years of service between the person who likes gaming and the person who likes singing is a multiple of 17. 

Years (Service years)Case 1
PersonsHobbies
1950 (75)JGaming
1965 (60)N
1977 (48)Traveling
1984 (41)LSinging
1990 (35)H
2001 (24)Cooking
2012 (13)Gardening

 

10. K has more years of service than the person who likes singing.  11. Only one person joined between P and the one who likes cycling.

Years (Service years)Case 1
PersonsHobbies
1950 (75)JGaming
1965 (60)N
1977 (48)KTraveling
1984 (41)LSinging
1990 (35)HCycling
2001 (24)Cooking
2012 (13)PGardening

 

This is our final arrangement,

Years (Service years)Case 1
PersonsHobbies
1950 (75)JGaming
1965 (60)NPainting
1977 (48)KTraveling
1984 (41)LSinging
1990 (35)HCycling
2001 (24)MCooking
2012 (13)PGardening

 

Hence, the correct answer is P.

5

Four of the following five are alike in a certain way and form a group. Who among the following does not belong to that group?

  1. ((a))

    J

  2. ((b))

    H

  3. ((c))

    P

  4. ((d))

    M

  5. ((e))

    L

Show Answer
Answer: ((d))

M

Given: Seven persons, namely H, J, K, L, M, N, and P, joined an organization on the same month and same date but in different years - 1950, 1965, 1977, 1984, 1990, 2001, and 2012. They also prefer different hobbies, namely painting, cycling, singing, cooking, gaming, gardening, and traveling, but not necessarily in the same order. Their years of service are calculated with respect to the base year 2025.

1. N’s years of service is not an odd number.  2. Three people joined between N and the person who likes cooking, whose service years is not greater than 40 years. 

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

Years (Service years)Case 1Case 2
PersonsHobbiesPersonsHobbies
1950 (75)
1965 (60)N
1977 (48)N
1984 (41)
1990 (35)
2001 (24)Cooking
2012 (13)Cooking

 

3. Four people joined between J and the person who likes cooking.

Years (Service years)Case 1Case 2
PersonsHobbiesPersonsHobbies
1950 (75)J
1965 (60)NJ
1977 (48)N
1984 (41)
1990 (35)
2001 (24)Cooking
2012 (13)Cooking

 

4. The years of service of the person who likes traveling is a multiple of 3, who joined immediately before L.  5. L doesn't like cooking.

Years (Service years)Case 1Case 2
PersonsHobbiesPersonsHobbies
1950 (75)J
1965 (60)NJ
1977 (48)TravelingNTraveling
1984 (41)LL
1990 (35)
2001 (24)Cooking
2012 (13)Cooking

 

6. The total years of service of N and H are a multiple of 5.

Now, we can eliminate Case 2.

Years (Service years)Case 1
PersonsHobbies
1950 (75)J
1965 (60)N
1977 (48)Traveling
1984 (41)L
1990 (35)H
2001 (24)Cooking
2012 (13)

 

7. The person who likes gardening has fewer years of service than H. 

Years (Service years)Case 1
PersonsHobbies
1950 (75)J
1965 (60)N
1977 (48)Traveling
1984 (41)L
1990 (35)H
2001 (24)Cooking
2012 (13)Gardening

 

  1. More than four people joined between the person who likes gardening and the one who likes gaming.
Years (Service years)Case 1
PersonsHobbies
1950 (75)JGaming
1965 (60)N
1977 (48)Traveling
1984 (41)L
1990 (35)H
2001 (24)Cooking
2012 (13)Gardening

 

9. The difference in years of service between the person who likes gaming and the person who likes singing is a multiple of 17. 

Years (Service years)Case 1
PersonsHobbies
1950 (75)JGaming
1965 (60)N
1977 (48)Traveling
1984 (41)LSinging
1990 (35)H
2001 (24)Cooking
2012 (13)Gardening

 

10. K has more years of service than the person who likes singing.  11. Only one person joined between P and the one who likes cycling.

Years (Service years)Case 1
PersonsHobbies
1950 (75)JGaming
1965 (60)N
1977 (48)KTraveling
1984 (41)LSinging
1990 (35)HCycling
2001 (24)Cooking
2012 (13)PGardening

 

This is our final arrangement,

Years (Service years)Case 1
PersonsHobbies
1950 (75)JGaming
1965 (60)NPainting
1977 (48)KTraveling
1984 (41)LSinging
1990 (35)HCycling
2001 (24)MCooking
2012 (13)PGardening

 

Except for M, all others joined an organization in an even-numbered year.

Hence, the correct answer is M.

6

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: R = S > T = U ≥ V > W = X ≥ Y < Z

Conclusions:

I. R ≥ Z

II. V > Y

  1. ((a))

    Only conclusion I is true

  2. ((b))

    Only conclusion II is true

  3. ((c))

    Either conclusion I or II is true

  4. ((d))

    Neither conclusion I nor II is true

  5. ((e))

    Both conclusions I and II are true

Show Answer
Answer: ((b))

Only conclusion II is true

Statements: R = S > T = U ≥ V > W = X ≥ Y < Z

Conclusions:

I. R ≥ Z: False (R = S > T = U ≥ V > W = X ≥ Y < Z; Opposite signs between the elements)

II. V > Y: True (V > W = X ≥ Y: V > Y)

Hence, the correct answer is Only conclusion II is true.

7

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: M = N > O ≥ P < Q > R < J ≤ K > L

Conclusions:

I. M > K

II. P < L

  1. ((a))

    Only conclusion I is true

  2. ((b))

    Only conclusion II is true

  3. ((c))

    Either conclusion I or II is true

  4. ((d))

    Neither conclusion I nor II is true

  5. ((e))

    Both conclusions I and II are true

Show Answer
Answer: ((d))

Neither conclusion I nor II is true

Statements: M = N > O ≥ P < Q > R < J ≤ K > L

Conclusions:

I. M > K: False (M = N > O ≥ P < Q > R < J ≤ K; Opposite signs between the elements)

II. P < L: False (P < Q > R < J ≤ K > L; Opposite signs between the elements)

Hence, the correct answer is Neither conclusion I nor II is true.

8

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 < C ≤ D = F ≤ G < H > I ≤ J = K

Conclusions:

I. G > A

II. C < I

  1. ((a))

    Only conclusion I is true

  2. ((b))

    Only conclusion II is true

  3. ((c))

    Either conclusion I or II is true

  4. ((d))

    Neither conclusion I nor II is true

  5. ((e))

    Both conclusions I and II are true

Show Answer
Answer: ((a))

Only conclusion I is true

Statements: A < C ≤ D = F ≤ G < H > I ≤ J = K

Conclusions:

I. G > A: True (A < C ≤ D = F ≤ G: A < G or G > A)

II. C < I: False (C ≤ D = F ≤ G < H > I; Opposite signs between the elements)

Hence, the correct answer is Only conclusion I is true.

Directions: Read the information and answer the given questions.

An uncertain number of persons are seated in a straight row facing north. R sits fourth from one of the extreme ends of the row. Five persons sit between A and K. M sits third to the right of A. As many persons sit between R and K as between K and M. Three persons sit between T and R. The number of persons sitting between J and R is two more than the number of persons sitting to the right of M. J sits immediately to the left of T.

9

Who among the following sits immediately to the right of J?

  1. ((a))

    M

  2. ((b))

    K

  3. ((c))

    T

  4. ((d))

    A

  5. ((e))

    R

Show Answer
Answer: ((c))

T

Given: An uncertain number of persons are seated in a straight row facing north.

  1. R sits fourth from one of the extreme ends of the row.
  2. Three persons sit between T and R.

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

3. J sits immediately to the left of T. 4. The number of persons sitting between J and R is two more than the number of persons sitting to the right of M. 

5. M sits third to the right of A. 

  1. Five persons sit between A and K.
  2. As many persons sit between R and K as between K and M.  

Now, we can eliminate Case 2.

Hence, the correct answer is T.

10

What is the position of K in the row?

  1. ((a))

    Tenth from the right end

  2. ((b))

    Seventh from the right end

  3. ((c))

    Ninth from the left end

  4. ((d))

    Eighth from the right end

  5. ((e))

    Sixth from the left end

Show Answer
Answer: ((a))

Tenth from the right end

Given: An uncertain number of persons are seated in a straight row facing north.

  1. R sits fourth from one of the extreme ends of the row.
  2. Three persons sit between T and R.

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

  1. J sits immediately to the left of T.
  2. The number of persons sitting between J and R is two more than the number of persons sitting to the right of M. 

  1. M sits third to the right of A. 

  1. Five persons sit between A and K.
  2. As many persons sit between R and K as between K and M.  

Now, we can eliminate Case 2.

Hence, the correct answer is Tenth from the right end.

11

How many persons are seated in the row?

  1. ((a))

    14

  2. ((b))

    15

  3. ((c))

    16

  4. ((d))

    17

  5. ((e))

    22

Show Answer
Answer: ((e))

22

Given: An uncertain number of persons are seated in a straight row facing north.

  1. R sits fourth from one of the extreme ends of the row.
  2. Three persons sit between T and R.

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

  1. J sits immediately to the left of T.
  2. The number of persons sitting between J and R is two more than the number of persons sitting to the right of M. 

  1. M sits third to the right of A. 

  1. Five persons sit between A and K.
  2. As many persons sit between R and K as between K and M.  

Now, we can eliminate Case 2.

Hence, the correct answer is 22.

12

How many pairs of digits are there in the number ‘694281537’, each of which has as many digits between them as in the natural number series (in both forward and backward directions)?

  1. ((a))

    One

  2. ((b))

    Two

  3. ((c))

    Three

  4. ((d))

    Four

  5. ((e))

    More than four

Show Answer
Answer: ((e))

More than four

Given number: 694281537

Number694281537

 

Forward pairs: 2-5, 2-7, 1-3, 5-7

Backward pairs: 3-9, 1-4, 1-6, 4-6

Hence, the correct answer is More than four.

Directions: Read the information and answer the given questions.

Six people, A, D, F, H, J, and K, work in different departments: Finance, Marketing, Operations, Research, Legal, and Sales. They hold different positions, AM (Assistant Manager), MD (Managing Director), OM (Operations Manager), LS (Lead Strategist), TH (Team Head), and PD (President Director), where AM is the junior-most designation, while PD is the senior-most designation.

F is senior to J, who does not work in Marketing. K works in Operations and is immediately senior to H. No designation lies between the persons working in Operations and Research. Not more than two persons are designated between D and J. F is immediately senior to the person who works in Legal. Only three people are junior to A. There is a gap of more than two designations between the persons working in Sales and Research. The person working in Sales is immediately senior to A.

13

Which of the following combinations is true?

  1. ((a))

    D - Sales

  2. ((b))

    J - Finance

  3. ((c))

    H - Legal

  4. ((d))

    Both 1 and 2

  5. ((e))

    A - Research

Show Answer
Answer: ((b))

J - Finance

Given: Six people, A, D, F, H, J, and K, work in different departments: Finance, Marketing, Operations, Research, Legal, and Sales. They hold different positions, AM (Assistant Manager), MD (Managing Director), OM (Operations Manager), LS (Lead Strategist), TH (Team Head), and PD (President Director), where AM is the junior-most designation, while PD is the senior-most designation.

  1. Only three people are junior to A.  2. The person working in Sales is immediately senior to A. 3. There is a gap of more than one designation between the persons working in Sales and Research. 

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

DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President Director
Team HeadSalesSales
Lead StrategistAA
Operations Manager
Managing DirectorResearch
Assistant ManagerResearch

 

4. No designation lies between the persons working in Operations and Research. 

DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President Director
Team HeadSalesSales
Lead StrategistAA
Operations ManagerOperations/
Managing DirectorOperationsResearch
Assistant ManagerResearchOperations/

 

5. K works in Operations and is immediately senior to H. 

DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President Director
Team HeadSalesSales
Lead StrategistAA
Operations ManagerKOperations
Managing DirectorKOperationsHResearch
Assistant ManagerHResearch

 

6. F is immediately senior to the person who works in Legal. 

DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President Director
Team HeadFSalesFSales
Lead StrategistALegalALegal
Operations ManagerKOperations
Managing DirectorKOperationsHResearch
Assistant ManagerHResearch

 

  1. F is senior to J, who does not work in Marketing.
DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President DirectorMarketingMarketing
Team HeadFSalesFSales
Lead StrategistALegalALegal
Operations ManagerJKOperations
Managing DirectorKOperationsHResearch
Assistant ManagerHResearchJ

 

  1. Not more than two persons designated between D and J.

Now, we can eliminate Case 2.

This is our final arrangement,

DesignationsCase 1
PersonsDepartments
President DirectorDMarketing
Team HeadFSales
Lead StrategistALegal
Operations ManagerJFinance
Managing DirectorKOperations
Assistant ManagerHResearch

 

Hence, the correct answer is J - Finance.

14

Who among the following is designated as AM?

  1. ((a))

    K

  2. ((b))

    A

  3. ((c))

    The one who works in Marketing

  4. ((d))

    H

  5. ((e))

    None of these

Show Answer
Answer: ((d))

H

Given: Six people, A, D, F, H, J, and K, work in different departments: Finance, Marketing, Operations, Research, Legal, and Sales. They hold different positions, AM (Assistant Manager), MD (Managing Director), OM (Operations Manager), LS (Lead Strategist), TH (Team Head), and PD (President Director), where AM is the junior-most designation, while PD is the senior-most designation.

1. Only three people are junior to A.  2. The person working in Sales is immediately senior to A. 3. There is a gap of more than one designation between the persons working in Sales and Research. 

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

DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President Director
Team HeadSalesSales
Lead StrategistAA
Operations Manager
Managing DirectorResearch
Assistant ManagerResearch

 

4. No designation lies between the persons working in Operations and Research. 

DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President Director
Team HeadSalesSales
Lead StrategistAA
Operations ManagerOperations/
Managing DirectorOperationsResearch
Assistant ManagerResearchOperations/

 

5. K works in Operations and is immediately senior to H. 

DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President Director
Team HeadSalesSales
Lead StrategistAA
Operations ManagerKOperations
Managing DirectorKOperationsHResearch
Assistant ManagerHResearch

 

6. F is immediately senior to the person who works in Legal. 

DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President Director
Team HeadFSalesFSales
Lead StrategistALegalALegal
Operations ManagerKOperations
Managing DirectorKOperationsHResearch
Assistant ManagerHResearch

 

  1. F is senior to J, who does not work in Marketing.
DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President DirectorMarketingMarketing
Team HeadFSalesFSales
Lead StrategistALegalALegal
Operations ManagerJKOperations
Managing DirectorKOperationsHResearch
Assistant ManagerHResearchJ

 

  1. Not more than two persons designated between D and J.

Now, we can eliminate Case 2.

This is our final arrangement,

DesignationsCase 1
PersonsDepartments
President DirectorDMarketing
Team HeadFSales
Lead StrategistALegal
Operations ManagerJFinance
Managing DirectorKOperations
Assistant ManagerHResearch

 

Hence, the correct answer is H.

15

Who among the following works in Sales?

  1. ((a))

    K

  2. ((b))

    A

  3. ((c))

    F

  4. ((d))

    H

  5. ((e))

    J

Show Answer
Answer: ((c))

F

Given: Six people, A, D, F, H, J, and K, work in different departments: Finance, Marketing, Operations, Research, Legal, and Sales. They hold different positions, AM (Assistant Manager), MD (Managing Director), OM (Operations Manager), LS (Lead Strategist), TH (Team Head), and PD (President Director), where AM is the junior-most designation, while PD is the senior-most designation.

1. Only three people are junior to A.  2. The person working in Sales is immediately senior to A. 3. There is a gap of more than one designation between the persons working in Sales and Research. 

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

DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President Director
Team HeadSalesSales
Lead StrategistAA
Operations Manager
Managing DirectorResearch
Assistant ManagerResearch

 

4. No designation lies between the persons working in Operations and Research. 

DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President Director
Team HeadSalesSales
Lead StrategistAA
Operations ManagerOperations/
Managing DirectorOperationsResearch
Assistant ManagerResearchOperations/

 

5. K works in Operations and is immediately senior to H. 

DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President Director
Team HeadSalesSales
Lead StrategistAA
Operations ManagerKOperations
Managing DirectorKOperationsHResearch
Assistant ManagerHResearch

 

6. F is immediately senior to the person who works in Legal. 

DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President Director
Team HeadFSalesFSales
Lead StrategistALegalALegal
Operations ManagerKOperations
Managing DirectorKOperationsHResearch
Assistant ManagerHResearch

 

  1. F is senior to J, who does not work in Marketing.
DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President DirectorMarketingMarketing
Team HeadFSalesFSales
Lead StrategistALegalALegal
Operations ManagerJKOperations
Managing DirectorKOperationsHResearch
Assistant ManagerHResearchJ

 

  1. Not more than two persons designated between D and J.

Now, we can eliminate Case 2.

This is our final arrangement,

DesignationsCase 1
PersonsDepartments
President DirectorDMarketing
Team HeadFSales
Lead StrategistALegal
Operations ManagerJFinance
Managing DirectorKOperations
Assistant ManagerHResearch

 

Hence, the correct answer is F.

16

How many persons are junior to the one who works in Marketing?

  1. ((a))

    One

  2. ((b))

    Two

  3. ((c))

    Three

  4. ((d))

    Four

  5. ((e))

    More than four

Show Answer
Answer: ((e))

More than four

Given: Six people, A, D, F, H, J, and K, work in different departments: Finance, Marketing, Operations, Research, Legal, and Sales. They hold different positions, AM (Assistant Manager), MD (Managing Director), OM (Operations Manager), LS (Lead Strategist), TH (Team Head), and PD (President Director), where AM is the junior-most designation, while PD is the senior-most designation.

1. Only three people are junior to A.  2. The person working in Sales is immediately senior to A. 3. There is a gap of more than one designation between the persons working in Sales and Research. 

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

DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President Director
Team HeadSalesSales
Lead StrategistAA
Operations Manager
Managing DirectorResearch
Assistant ManagerResearch

 

4. No designation lies between the persons working in Operations and Research. 

DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President Director
Team HeadSalesSales
Lead StrategistAA
Operations ManagerOperations/
Managing DirectorOperationsResearch
Assistant ManagerResearchOperations/

 

5. K works in Operations and is immediately senior to H. 

DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President Director
Team HeadSalesSales
Lead StrategistAA
Operations ManagerKOperations
Managing DirectorKOperationsHResearch
Assistant ManagerHResearch

 

6. F is immediately senior to the person who works in Legal. 

DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President Director
Team HeadFSalesFSales
Lead StrategistALegalALegal
Operations ManagerKOperations
Managing DirectorKOperationsHResearch
Assistant ManagerHResearch

 

  1. F is senior to J, who does not work in Marketing.
DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President DirectorMarketingMarketing
Team HeadFSalesFSales
Lead StrategistALegalALegal
Operations ManagerJKOperations
Managing DirectorKOperationsHResearch
Assistant ManagerHResearchJ

 

  1. Not more than two persons designated between D and J.

Now, we can eliminate Case 2.

This is our final arrangement,

DesignationsCase 1
PersonsDepartments
President DirectorDMarketing
Team HeadFSales
Lead StrategistALegal
Operations ManagerJFinance
Managing DirectorKOperations
Assistant ManagerHResearch

 

Hence, the correct answer is More than four.

17

Which of the following statement(s) is/are not true?

  1. ((a))

    Three persons are junior to the one who works in Legal.

  2. ((b))

    F is junior to K.

  3. ((c))

    J is designated OM.

  4. ((d))

    H works in Research.

  5. ((e))

    K is designated as MD.

Show Answer
Answer: ((b))

F is junior to K.

Given: Six people, A, D, F, H, J, and K, work in different departments: Finance, Marketing, Operations, Research, Legal, and Sales. They hold different positions, AM (Assistant Manager), MD (Managing Director), OM (Operations Manager), LS (Lead Strategist), TH (Team Head), and PD (President Director), where AM is the junior-most designation, while PD is the senior-most designation.

1. Only three people are junior to A.  2. The person working in Sales is immediately senior to A. 3. There is a gap of more than one designation between the persons working in Sales and Research. 

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

DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President Director
Team HeadSalesSales
Lead StrategistAA
Operations Manager
Managing DirectorResearch
Assistant ManagerResearch

 

4. No designation lies between the persons working in Operations and Research. 

DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President Director
Team HeadSalesSales
Lead StrategistAA
Operations ManagerOperations/
Managing DirectorOperationsResearch
Assistant ManagerResearchOperations/

 

5. K works in Operations and is immediately senior to H. 

DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President Director
Team HeadSalesSales
Lead StrategistAA
Operations ManagerKOperations
Managing DirectorKOperationsHResearch
Assistant ManagerHResearch

 

6. F is immediately senior to the person who works in Legal. 

DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President Director
Team HeadFSalesFSales
Lead StrategistALegalALegal
Operations ManagerKOperations
Managing DirectorKOperationsHResearch
Assistant ManagerHResearch

 

  1. F is senior to J, who does not work in Marketing.
DesignationsCase 1Case 2
PersonsDepartmentsPersonsDepartments
President DirectorMarketingMarketing
Team HeadFSalesFSales
Lead StrategistALegalALegal
Operations ManagerJKOperations
Managing DirectorKOperationsHResearch
Assistant ManagerHResearchJ

 

  1. Not more than two persons designated between D and J.

Now, we can eliminate Case 2.

This is our final arrangement,

DesignationsCase 1
PersonsDepartments
President DirectorDMarketing
Team HeadFSales
Lead StrategistALegal
Operations ManagerJFinance
Managing DirectorKOperations
Assistant ManagerHResearch

 

Hence, the correct answer is F is junior to K.

18

How many meaningful words can be formed using the fifth,seventh, ninth, and thirteenth letters from the left end of the word “MISUNDERSTAND”? If no word can be formed, mark the answer as X, and if more than three words can be formed, mark the answer as Y. Otherwise, choose the correct answer from the options given below.

  1. ((a))

    One

  2. ((b))

    Two

  3. ((c))

    Three

  4. ((d))

    Y

  5. ((e))

    X

Show Answer
Answer: ((d))

Y

Given word: MISUNDERSTAND

The fifth, seventh, ninth, and thirteenth letters = N, E, S, D

Meaningful word = DENS ( To live in a lair or a small, confined space), ENDS (To finish or stop an action), SEND (To cause something or someone to go to a destination), SNED (To cut off, prune, or lop, particularly in reference to removing branches from a tree)

Hence, the correct answer is Y.

Directions: Read the information and answer the given questions.

Eight people, A, C, G, H, J, P, R, and T, live in a four-storey apartment building. The lowest floor is numbered 1, the floor above it is 2, then 3, and the highest floor is 4. Each floor has two flats - Flat-1 and Flat-2. Flat-1 is to the west of Flat-2.

A lives exactly one floor above C, in the same flat. C resides on an odd-numbered floor. No one lives to the west of C. P lives to the east of the person who stays exactly one floor below H in the same flat. J and R do not live in the same numbered flat. There are two floors between the floors on which G and R live. R lives on a lower floor than G. P doesn't live on the lowest floor. J doesn't live on the fourth floor.

19

Who among the following lives in Flat-2 on the 3rd floor?

  1. ((a))

    A

  2. ((b))

    H

  3. ((c))

    G

  4. ((d))

    P

  5. ((e))

    C

Show Answer
Answer: ((d))

P

Given: Eight people, A, C, G, H, J, P, R, and T, live in a four-storey apartment building. The lowest floor is numbered 1, the floor above it is 2, then 3, and the highest floor is 4. Each floor has two flats - Flat-1 and Flat-2. Flat-1 is to the west of Flat-2.

  1. C resides on an odd-numbered floor.
  2. No one lives to the west of C.  3. A lives exactly one floor above C, in the same flat.

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

FloorsCase 1Case 2
Flat-1Flat-2Flat-1Flat-2
4A
3C
2A
1C

 

4. There are two floors between the floors on which G and R live. 5. R lives on a lower floor than G.

FloorsCase 1Case 2
Flat-1Flat-2Flat-1Flat-2
4G/G/AG
3C
2A
1CRR/R/

 

  1. P lives to the east of the person who stays exactly one floor below H in the same flat. 

P doesn't live on the lowest floor. 

Now, we can eliminate Case 2.

FloorsCase 1
Flat-1Flat-2
4HG
3P
2A
1CR

 

  1. J and R do not live in the same numbered flat. 
FloorsCase 1
Flat-1Flat-2
4HG
3JP
2A
1CR

 

This is our final arrangement,

FloorsCase 1
Flat-1Flat-2
4HG
3JP
2AT
1CR

 

Hence, the correct answer is P.

20

Which of the following pairs live on the same floor?

  1. ((a))

    C and H

  2. ((b))

    P and T

  3. ((c))

    A and T

  4. ((d))

    G and J

  5. ((e))

    T and C

Show Answer
Answer: ((c))

A and T

Given: Eight people, A, C, G, H, J, P, R, and T, live in a four-storey apartment building. The lowest floor is numbered 1, the floor above it is 2, then 3, and the highest floor is 4. Each floor has two flats - Flat-1 and Flat-2. Flat-1 is to the west of Flat-2.

  1. C resides on an odd-numbered floor.
  2. No one lives to the west of C.  3. A lives exactly one floor above C, in the same flat.

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

FloorsCase 1Case 2
Flat-1Flat-2Flat-1Flat-2
4A
3C
2A
1C

 

4. There are two floors between the floors on which G and R live. 5. R lives on a lower floor than G.

FloorsCase 1Case 2
Flat-1Flat-2Flat-1Flat-2
4G/G/AG
3C
2A
1CRR/R/

 

  1. P lives to the east of the person who stays exactly one floor below H in the same flat. 

P doesn't live on the lowest floor. 

Now, we can eliminate Case 2.

FloorsCase 1
Flat-1Flat-2
4HG
3P
2A
1CR

 

  1. J and R do not live in the same numbered flat. 
FloorsCase 1
Flat-1Flat-2
4HG
3JP
2A
1CR

 

This is our final arrangement,

FloorsCase 1
Flat-1Flat-2
4HG
3JP
2AT
1CR

 

Hence, the correct answer is A and T.

21

Who among the following lives to the west of P?

  1. ((a))

    T

  2. ((b))

    R

  3. ((c))

    J

  4. ((d))

    G

  5. ((e))

    A

Show Answer
Answer: ((c))

J

Given: Eight people, A, C, G, H, J, P, R, and T, live in a four-storey apartment building. The lowest floor is numbered 1, the floor above it is 2, then 3, and the highest floor is 4. Each floor has two flats - Flat-1 and Flat-2. Flat-1 is to the west of Flat-2.

  1. C resides on an odd-numbered floor.
  2. No one lives to the west of C.  3. A lives exactly one floor above C, in the same flat.

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

FloorsCase 1Case 2
Flat-1Flat-2Flat-1Flat-2
4A
3C
2A
1C

 

4. There are two floors between the floors on which G and R live. 5. R lives on a lower floor than G.

FloorsCase 1Case 2
Flat-1Flat-2Flat-1Flat-2
4G/G/AG
3C
2A
1CRR/R/

 

  1. P lives to the east of the person who stays exactly one floor below H in the same flat. 

P doesn't live on the lowest floor. 

Now, we can eliminate Case 2.

FloorsCase 1
Flat-1Flat-2
4HG
3P
2A
1CR

 

  1. J and R do not live in the same numbered flat. 
FloorsCase 1
Flat-1Flat-2
4HG
3JP
2A
1CR

 

This is our final arrangement,

FloorsCase 1
Flat-1Flat-2
4HG
3JP
2AT
1CR

 

Hence, the correct answer is J.

22

Which of the following statements is/are definitely true?

I. A lives below P.

II. Only one floor is below H’s floor.

III. G lives two floors above J.

  1. ((a))

    Only I

  2. ((b))

    Both I and II

  3. ((c))

    Both II and III

  4. ((d))

    Only III

  5. ((e))

    Both I and III

Show Answer
Answer: ((a))

Only I

Given: Eight people, A, C, G, H, J, P, R, and T, live in a four-storey apartment building. The lowest floor is numbered 1, the floor above it is 2, then 3, and the highest floor is 4. Each floor has two flats - Flat-1 and Flat-2. Flat-1 is to the west of Flat-2.

  1. C resides on an odd-numbered floor.
  2. No one lives to the west of C.  3. A lives exactly one floor above C, in the same flat.

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

FloorsCase 1Case 2
Flat-1Flat-2Flat-1Flat-2
4A
3C
2A
1C

 

4. There are two floors between the floors on which G and R live. 5. R lives on a lower floor than G.

FloorsCase 1Case 2
Flat-1Flat-2Flat-1Flat-2
4G/G/AG
3C
2A
1CRR/R/

 

  1. P lives to the east of the person who stays exactly one floor below H in the same flat. 

P doesn't live on the lowest floor. 

Now, we can eliminate Case 2.

FloorsCase 1
Flat-1Flat-2
4HG
3P
2A
1CR

 

  1. J and R do not live in the same numbered flat. 
FloorsCase 1
Flat-1Flat-2
4HG
3JP
2A
1CR

 

This is our final arrangement,

FloorsCase 1
Flat-1Flat-2
4HG
3JP
2AT
1CR

 

I. A lives below P.: True

II. Only one floor is below H’s floor.: False 

III. G lives two floors above J.: False 

Hence, the correct answer is Only I.

23

Who among the following lives to the north-west of T?

  1. ((a))

    C

  2. ((b))

    P

  3. ((c))

    A

  4. ((d))

    H

  5. ((e))

    None of these

Show Answer
Answer: ((d))

H

Given: Eight people, A, C, G, H, J, P, R, and T, live in a four-storey apartment building. The lowest floor is numbered 1, the floor above it is 2, then 3, and the highest floor is 4. Each floor has two flats - Flat-1 and Flat-2. Flat-1 is to the west of Flat-2.

  1. C resides on an odd-numbered floor.
  2. No one lives to the west of C.  3. A lives exactly one floor above C, in the same flat.

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

FloorsCase 1Case 2
Flat-1Flat-2Flat-1Flat-2
4A
3C
2A
1C

 

4. There are two floors between the floors on which G and R live. 5. R lives on a lower floor than G.

FloorsCase 1Case 2
Flat-1Flat-2Flat-1Flat-2
4G/G/AG
3C
2A
1CRR/R/

 

  1. P lives to the east of the person who stays exactly one floor below H in the same flat. 

P doesn't live on the lowest floor. 

Now, we can eliminate Case 2.

FloorsCase 1
Flat-1Flat-2
4HG
3P
2A
1CR

 

  1. J and R do not live in the same numbered flat. 
FloorsCase 1
Flat-1Flat-2
4HG
3JP
2A
1CR

 

This is our final arrangement,

FloorsCase 1
Flat-1Flat-2
4HG
3JP
2AT
1CR

 

Hence, the correct answer is H.

24

Directions: In each of the following questions, three statements are followed by two conclusions numbered I, and II. Take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the statements carefully and decide which of the conclusions logically follow.

Statements:

Only a few planet are metal.

Some metal are storm.

No storm is silent.

Conclusions:

I. Some planet being storm is a possibility.

II. No metal is silent.

  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

The possible Venn diagram is,

Conclusions:

I. Some planet being storm is a possibility.: Follows (As there is no direct relation given between the elements)

II. No metal is silent.: Doesn't follow (As there is no direct relation given between the elements)

Hence, the correct answer is Only conclusion I follows.

25

Directions: In each of the following questions, three statements are followed by two conclusions numbered I, and II. Take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the statements carefully and decide which of the conclusions logically follow.

Statements:

Only a few silver are task.

All task are bright.

No bright is grain.

Conclusions:

I. All task being grain is a possibility.

II. No silver is grain.

  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: ((d))

Neither conclusion I nor II follows

The possible Venn diagram is,

Conclusions:

I. All task being grain is a possibility.: Doesn't follow (As all task is bright and no bright is grain, so all task being grain is a possibility is not true.)

II. No silver is grain.: Doesn't follow (As there is no direct relation given between the elements.)

Hence, the correct answer is Neither conclusion I nor II follows.

26

Directions: In each of the following questions, three statements are followed by two conclusions numbered I, and II. Take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the statements carefully and decide which of the conclusions logically follow.

Statements:

Some signal are frame.

All frame are design.

Some design are circle.

Conclusions:

I. Some signal are design.

II. No frame is circle.

  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

The possible Venn diagram is,

Conclusions:

I. Some signal are design.: Follows (As some signal is frame and all frame are design, so some signal are design is true.)

II. No frame is circle.: Doesn't follow (As there is no direct relation given between the elements.)

Hence, the correct answer is Only conclusion I follows.

Directions: Read the information and answer the given questions.

Fourteen people are seated in two parallel rows, with seven people in each row. In Row 1 - A, C, D, F, G, H, and I are seated facing north, while in Row 2 - K, L, M, N, Q, R, and T are seated facing south, but not necessarily in the same order as given. Each person in one row faces exactly one person in the other row.

Two persons sit between L and T. K sits second to the right of the person who faces the one sitting second to the left of F. L faces the person who sits immediately right of G. F does not face Q and L. I don't face T and N. D doesn't face Q. C faces one of the immediate neighbours of M. No person sits between I and H. More than three people sit between F and A. More than two people sit between T and Q. D sits third to the right of G, and one of them sits at the extreme end.

27

Who among the following sits opposite to D?

  1. ((a))

    K

  2. ((b))

    The one who sits immediately right of T

  3. ((c))

    N

  4. ((d))

    Both 1 and 2

  5. ((e))

    L

Show Answer
Answer: ((b))

The one who sits immediately right of T

Given: Fourteen people are seated in two parallel rows, with seven people in each row. In Row 1 - A, C, D, F, G, H, and I are seated facing north, while in Row 2 - K, L, M, N, Q, R, and T are seated facing south, but not necessarily in the same order as given. Each person in one row faces exactly one person in the other row.

  1. D sits third to the right of G, and one of them sits at the extreme end.  2. L faces the person who sits immediately right of G. 3. Two persons sit between L and T. 

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

4. More than two people sit between T and Q.  5. D doesn't face Q.

6. More than three people sit between F and A.  7. F does not face Q and L.

8. K sits second to the right of the person who faces the one sitting second to the left of F. 

Now, we can eliminate Case 1.

  1. C faces one of the immediate neighbours of M.  10. No person sits between I and H.
  2. I don't face T and N.

This is our final arrangement,

Hence, the correct answer is The one who sits immediately right of T.

28

Four of the following five are alike in a certain way and form a group. Which of the following does not belong to that group?

  1. ((a))

    Q

  2. ((b))

    F

  3. ((c))

    T

  4. ((d))

    N

  5. ((e))

    G

Show Answer
Answer: ((c))

T

Given: Fourteen people are seated in two parallel rows, with seven people in each row. In Row 1 - A, C, D, F, G, H, and I are seated facing north, while in Row 2 - K, L, M, N, Q, R, and T are seated facing south, but not necessarily in the same order as given. Each person in one row faces exactly one person in the other row.

  1. D sits third to the right of G, and one of them sits at the extreme end. 
  2. L faces the person who sits immediately right of G.
  3. Two persons sit between L and T. 

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

  1. More than two people sit between T and Q. 
  2. D doesn't face Q.

  1. More than three people sit between F and A. 
  2. F does not face Q and L.

  1. K sits second to the right of the person who faces the one sitting second to the left of F. 

Now, we can eliminate Case 1.

  1. C faces one of the immediate neighbours of M. 
  2. No person sits between I and H.
  3. I don't face T and N.

This is our final arrangement,

Except for T, all others sit at the ends.

Hence, the correct answer is T.

29

Which of the following statements is true?

  1. ((a))

    I sits second to the right of G.

  2. ((b))

    Three persons sit between T and R.

  3. ((c))

    G sits opposite to N.

  4. ((d))

    I sits opposite to the one who sits immediately right of N.

  5. ((e))

    None of these

Show Answer
Answer: ((d))

I sits opposite to the one who sits immediately right of N.

Given: Fourteen people are seated in two parallel rows, with seven people in each row. In Row 1 - A, C, D, F, G, H, and I are seated facing north, while in Row 2 - K, L, M, N, Q, R, and T are seated facing south, but not necessarily in the same order as given. Each person in one row faces exactly one person in the other row.

  1. D sits third to the right of G, and one of them sits at the extreme end. 
  2. L faces the person who sits immediately right of G.
  3. Two persons sit between L and T. 

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

  1. More than two people sit between T and Q. 
  2. D doesn't face Q.

  1. More than three people sit between F and A. 
  2. F does not face Q and L.

  1. K sits second to the right of the person who faces the one sitting second to the left of F. 

Now, we can eliminate Case 1.

  1. C faces one of the immediate neighbours of M. 
  2. No person sits between I and H.
  3. I don't face T and N.

This is our final arrangement,

Hence, the correct answer is I sits opposite to the one who sits immediately right of N.

30

How many persons sit between I and the one who sits opposite to K?

  1. ((a))

    Two

  2. ((b))

    Three

  3. ((c))

    One

  4. ((d))

    Four

  5. ((e))

    More than four

Show Answer
Answer: ((a))

Two

Given: Fourteen people are seated in two parallel rows, with seven people in each row. In Row 1 - A, C, D, F, G, H, and I are seated facing north, while in Row 2 - K, L, M, N, Q, R, and T are seated facing south, but not necessarily in the same order as given. Each person in one row faces exactly one person in the other row.

  1. D sits third to the right of G, and one of them sits at the extreme end. 
  2. L faces the person who sits immediately right of G.
  3. Two persons sit between L and T. 

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

  1. More than two people sit between T and Q. 
  2. D doesn't face Q.

  1. More than three people sit between F and A. 
  2. F does not face Q and L.

  1. K sits second to the right of the person who faces the one sitting second to the left of F. 

Now, we can eliminate Case 1.

  1. C faces one of the immediate neighbours of M. 
  2. No person sits between I and H.
  3. I don't face T and N.

This is our final arrangement,

Hence, the correct answer is Two.

31

Which of the following pair sits at the extreme ends?

  1. ((a))

    R, F

  2. ((b))

    Q, F

  3. ((c))

    D, I

  4. ((d))

    A, K

  5. ((e))

    None of these

Show Answer
Answer: ((b))

Q, F

Given: Fourteen people are seated in two parallel rows, with seven people in each row. In Row 1 - A, C, D, F, G, H, and I are seated facing north, while in Row 2 - K, L, M, N, Q, R, and T are seated facing south, but not necessarily in the same order as given. Each person in one row faces exactly one person in the other row.

  1. D sits third to the right of G, and one of them sits at the extreme end. 
  2. L faces the person who sits immediately right of G.
  3. Two persons sit between L and T. 

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

  1. More than two people sit between T and Q. 
  2. D doesn't face Q.

  1. More than three people sit between F and A. 
  2. F does not face Q and L.

  1. K sits second to the right of the person who faces the one sitting second to the left of F. 

Now, we can eliminate Case 1.

  1. C faces one of the immediate neighbours of M. 
  2. No person sits between I and H.
  3. I don't face T and N.

This is our final arrangement,

Hence, the correct answer is Q, F.

32

Find the odd-one out.

  1. ((a))

    GHDE

  2. ((b))

    PQMN

  3. ((c))

    RSTP

  4. ((d))

    BCYZ

  5. ((e))

    KLHI

Show Answer
Answer: ((c))

RSTP

Option 1: D + 1 = E, E + 2 = G, G + 1 = H

Option 2: M + 1 = N, N + 2 = P, P + 1 = Q

Option 3: T + 1 = U, U + 2 = W, W + 1 = X

Option 4: Y + 1 = Z, Z + 2 = B, B + 1 = C

Option 5: H + 1 = I, I + 2 = K, K + 1 = L

Except for RSTP, all others follow the same logic.

Hence, the correct answer is RSTP.

Directions: Read the information and answer the given questions.

A person starts from Point P. Point P is 14 m west of point Q. Point R is 36 m south of point Q. Point R is 4 m east of point T. Point T is 28 m south of point U. Point V is 18 m south of point P. Point W is 3 m east of point V. Point X is 6 m north of point W. Point Y is 5 m west of point X.

33

In which direction is point T with respect to point V?

  1. ((a))

    North-east

  2. ((b))

    North-west

  3. ((c))

    South-west

  4. ((d))

    South-east

  5. ((e))

    East

Show Answer
Answer: ((d))

South-east

Given: A person starts from Point P.

  1. Point P is 14 m west of point Q.
  2. Point R is 36 m south of point Q.
  3. Point R is 4 m east of point T.
  4. Point T is 28 m south of point U.

  1. Point V is 18 m south of point P.
  2. Point W is 3 m east of point V.
  3. Point X is 6 m north of point W.
  4. Point Y is 5 m west of point X.

The final diagram is,

Hence, the correct answer is South-East.

34

Four of the following five are similar in a certain manner and form a group. Which one does not belong to that group?

  1. ((a))

    XQ

  2. ((b))

    VU

  3. ((c))

    PX

  4. ((d))

    WU

  5. ((e))

    TQ

Show Answer
Answer: ((c))

PX

Given: A person starts from Point P.

  1. Point P is 14 m west of point Q.
  2. Point R is 36 m south of point Q.
  3. Point R is 4 m east of point T.
  4. Point T is 28 m south of point U.

  1. Point V is 18 m south of point P.
  2. Point W is 3 m east of point V.
  3. Point X is 6 m north of point W.
  4. Point Y is 5 m west of point X.

The final diagram is,

Except for PX, in all other pairs, the second point is to the northeast of the first point.

Hence, the correct answer is PX.

35

In which direction is point Q with respect to point Y?

  1. ((a))

    North-east

  2. ((b))

    South-east

  3. ((c))

    North-west

  4. ((d))

    South-west

  5. ((e))

    East

Show Answer
Answer: ((a))

North-east

Given: A person starts from Point P.

  1. Point P is 14 m west of point Q.
  2. Point R is 36 m south of point Q.
  3. Point R is 4 m east of point T.
  4. Point T is 28 m south of point U.

  1. Point V is 18 m south of point P.
  2. Point W is 3 m east of point V.
  3. Point X is 6 m north of point W.
  4. Point Y is 5 m west of point X.

The final diagram is,

 

Hence, the correct answer is North-East.

English Language (30 questions)

36

Directions: Read the sentence given below to find out if it contains an error. The error, if any, will be in one part of the sentence. If the sentence is error-free, select No error or option 5. Ignore errors of punctuation if any. 

Her books (A)/ have been (B)/ translate into (C)/ 24 languages. (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 'C' i.e. this part of the sentence has an error.

Key Points

  • In the third part of the given sentence, the use of the base form of the verb 'translate' is incorrect.
  • The given sentence is a passive voice in the present perfect tense as it links the past to the present in some way.
  • The present perfect tense refers to an action or state that either occurred at an indefinite time in the past or began in the past and continued to the present time.
  • The present perfect tense in a passive voice is formed by have/has + been + the past participle (here, it should be translated).
  • The subject 'books' of the sentence is plural and it will take the plural verb 'have'.
  • Therefore, the past participle form of the verb 'translated' should be used in place of the base form of the verb 'translate'.

Hence, the correct answer is option 3.

Correct sentence: Her books have been translated into 24 languages.

37

Directions: Read the sentence given below to find out if it contains an error. The error, if any, will be in one part of the sentence. If the sentence is error-free, select No error or option 5. Ignore errors of punctuation if any. 

If I (A)/ knew his (B)/ name, I would (C)/ tell you. (D)/ No error (E)

  1. ((a))

    A

  2. ((b))

    B

  3. ((c))

    C

  4. ((d))

    D

  5. ((e))

    E

Show Answer
Answer: ((e))

E

The correct answer is 'E' i.e. No error.

Key Points

  • In the given sentence, there is no error in any part of the sentence.
  • The given sentence is the second conditional sentence used to talk about things in the future that are probably not going to be true.
  • The second conditional sentence format: ''if + past simple, ...would + infinitive'' or ''... would + infinitive ... if + past simple.''
  • When using the second conditional, we use the past simple (here, knew) in the if-clause and the modal auxiliary (would, could, should, etc.) + infinitive (here, tell) in the main clause.

Hence, the correct answer is option 5.

Correct sentence: If I knew his name, I would tell you.

38

Directions: Read the sentence given below to find out if it contains an error. The error, if any, will be in one part of the sentence. If the sentence is error-free, select No error or option 5. Ignore errors of punctuation if any. 

The birds (A)/ always sings (B)/ early in (C)/ the morning. (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 'B' i.e. this part of the sentence has an error.

Key Points

  • In the second part of the given sentence, the third-person present singular form of the verb 'sings' is incorrect.
  • The subject 'birds' in the given sentence is a plural subject.
  • The plural form of the verb 'sing' should be used with the plural subject 'birds'.
  • Therefore, the plural form of the verb 'sing' should be used in place of the third-person present singular form of the verb 'sings'.

Hence, the correct answer is option 2.

Correct sentence: The birds always sing early in the morning.

<br>

Additional Information

  • Subjects and verbs must agree with one another in number (singular or plural).
  • Thus, if a subject is singular, its verb must also be singular; if the subject is plural, its verb must also be plural.
39

Directions: Read the sentence given below to find out if it contains an error. The error, if any, will be in one part of the sentence. If the sentence is error-free, select No error or option 5. Ignore errors of punctuation if any. 

If I had (A)/ win the lottery, (B)/ I would have (C)/ bought a laptop. (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 'B' i.e. this part of the sentence has an error.

Key Points

  • In the second part of the given sentence, the use of the base form of the verb 'win' is incorrect.
  • The given sentence is the third conditional sentence explaining that present circumstances would be different if something different had happened in the past.
  • When using the third conditional, we use the past perfect (i.e., had + past participle) in the if-clause and the modal auxiliary (would, could, should, etc.) + have + past participle in the main clause.
  • We use the ''past perfect'' tense to talk about the impossible past condition and ''would + have + past participle'' to talk about the impossible past result.
  • Therefore, the past participle form of the verb 'won' should be used in place of the base form of the verb 'win'.

Hence, the correct answer is option 2.

Correct sentence: If I had won the lottery, I would have bought a laptop.

40

Read the sentence given below to find out if it contains an error. The error, if any, will be in one part of the sentence. if the sentence is error free, select No error or option 5. Ignore errors of punctuation if any.

For two days, (A)/I have not taken (B)/the lunch (C)/but dinner. (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 'C' i.e. this part of the sentence has an error.

Key Points

  • In the third part of the sentence, we need to remove the article 'the' before lunch.
  • Before ‘meal’ article is not used except for a particular purpose.
  • Hence, the correct answer is option 3.

Correct sentence: For two days, I have not taken lunch but dinner.

Additional Information The zero article with meals

  • Names of meals normally do not take an article:
  • Did you have breakfast this morning?
  • I'll have fruit for lunch.
  • Let's go out for dinner tonight.
  • But if there is an adjective before the name of the meal or a phrase or clause after it, an article is used:
  • The breakfast that they served was fabulous.
  • I had a quick lunch at Wendy's.
  • That was the most delicious dinner I've had in a while.

Direction: Rearrange the following six sentences (A), (B), (C), (D), (E) and (F) in proper sequence to form a meaningful paragraph and answer the given questions. Sentence (C) is fixed to give some context to the paragraph.

A: With the Indian economy experiencing a period of financial change and the Indian government's increasing accentuation on digital payment, it's an ideal opportunity to reassess the credibility of utilising bitcoins. 

B: Also, it doesn't require the conventional paperwork. It very well may be traded across borders with limited regulation and inhibition.

C: The utilisation of bitcoins over limited cash accompanies a large group of favourable circumstances. 

D: However, regardless of the advantages Bitcoins guarantees to offer, it has been denied any lawful status by the RBI. 

E: The transactions are extremely quick and cheap. Where international wire transactions require a few days, a Bitcoin transaction is confirmed within an hour.

F: A Bitcoin is a sort of computerised cash in which encryption procedures are utilised to direct the generation of units of money.

41

What is the FIRST sentence after rearrangement?

  1. ((a))

    F

  2. ((b))

    B

  3. ((c))

    A

  4. ((d))

    C

  5. ((e))

    D

Show Answer
Answer: ((c))

A

The correct answer is A.

Key Points

  • The given paragraph is about bitcoins and how they can boost the financial condition of the Indian economy.
  • Sentence A is the first sentence because it introduces the topic of the paragraph “bitcoins and how it can boost the financial condition of the Indian economy.” by mentioning it as an ideal opportunity for the Indian economy to reassess the credibility of using bitcoins.
  • Sentence F is the second sentence as it explains the meaning and uses of a bitcoin.
  • Sentence C is the third sentence as it demonstrates the utilization of bitcoins.
  • Sentence E is the fourth sentence as it showcases the advantages of bitcoins.
  • Sentence B is the fifth sentence as it further explains some more advantages of bitcoins.
  • Sentence D is the sixth and last sentence of a paragraph as it concludes the paragraph. It explains that despite bitcoin’s advantages, how bitcoin is denied to get any lawful status by RBI.

The correct sequence is AFCEBD.

Additional Information

  • The word credibility used in the first (A part of the paragraph) sentence here means acceptability and a probable chance for bitcoins to get lawful status by RBI. Generally, the word ‘credibility’ means trustworthiness and sometimes it also means reputation.
  • Example: The cricketer’s arrest for taking bribes and match-fixing drastically damaged his credibility as a hardworking and loyal cricketer.

Correct paragraph: With the Indian economy experiencing a period of financial change and the Indian government's increasing accentuation on digital payment, it's an ideal opportunity to reassess the credibility of utilizing bitcoins. A Bitcoin is a sort of computerized cash in which encryption procedures are utilized to direct the generation of units of money. The utilization of bitcoins over limited cash accompanies a large group of favorable circumstances. The transactions are extremely quick and cheap. Where international wire transactions require a few days, a Bitcoin transaction is confirmed within an hour. Also, it doesn't require conventional paperwork. It very well may be traded across borders with limited regulation and inhibition. However, regardless of the advantages Bitcoins guarantees to offer, it has been denied any lawful status by the RBI.

42

What is the SECOND sentence after rearrangement?

  1. ((a))

    A

  2. ((b))

    D

  3. ((c))

    B

  4. ((d))

    F

  5. ((e))

    E

Show Answer
Answer: ((d))

F

The correct answer is F.

Key Points 

The given paragraph is about bitcoins and how they can boost the financial condition of the Indian economy.

  • Sentence A is the first sentence because it introduces the topic of the paragraph “bitcoins and how it can boost the financial condition of the Indian economy.” by mentioning it as an ideal opportunity for the Indian economy to reassess the credibility of using bitcoins.
  • Sentence F is the second sentence as it explains the meaning and uses of a bitcoin.
  • Sentence C is the third sentence as it demonstrates the utilization of bitcoins.
  • Sentence E is the fourth sentence as it showcases the advantages of bitcoins.
  • Sentence B is the fifth sentence as it further explains some more advantages of bitcoins.
  • Sentence D is the sixth and last sentence of a paragraph as it concludes the paragraph. It explains that despite bitcoin’s advantages, how bitcoin is denied to get any lawful status by RBI.

The correct sequence is AFCEBD.

Additional Information 

  • The word credibility used in the first (A part of the paragraph) sentence here means acceptability and a probable chance for bitcoins to get lawful status by RBI. Generally, the word ‘credibility’ means trustworthiness and sometimes it also means reputation.
  • Example: The cricketer’s arrest for taking bribes and match-fixing drastically damaged his credibility as a hardworking and loyal cricketer.

Correct paragraph: With the Indian economy experiencing a period of financial change and the Indian government's increasing accentuation on digital payment, it's an ideal opportunity to reassess the credibility of utilizing bitcoins. A Bitcoin is a sort of computerized cash in which encryption procedures are utilized to direct the generation of units of money. The utilization of bitcoins over limited cash accompanies a large group of favorable circumstances. The transactions are extremely quick and cheap. Where international wire transactions require a few days, a Bitcoin transaction is confirmed within an hour. Also, it doesn't require conventional paperwork. It very well may be traded across borders with limited regulation and inhibition. However, regardless of the advantages Bitcoins guarantees to offer, it has been denied any lawful status by the RBI.

43

What is the FOURTH sentence after rearrangement?

  1. ((a))

    F

  2. ((b))

    B

  3. ((c))

    E

  4. ((d))

    D

  5. ((e))

    A

Show Answer
Answer: ((c))

E

The correct answer is E.

Key Points 

The given paragraph is about bitcoins and how they can boost the financial condition of the Indian economy.

  • Sentence A is the first sentence because it introduces the topic of the paragraph “bitcoins and how it can boost the financial condition of the Indian economy.” by mentioning it as an ideal opportunity for the Indian economy to reassess the credibility of using bitcoins.
  • Sentence F is the second sentence as it explains the meaning and uses of a bitcoin.
  • Sentence C is the third sentence as it demonstrates the utilization of bitcoins.
  • Sentence E is the fourth sentence as it showcases the advantages of bitcoins.
  • Sentence B is the fifth sentence as it further explains some more advantages of bitcoins.
  • Sentence D is the sixth and last sentence of a paragraph as it concludes the paragraph. It explains that despite bitcoin’s advantages, how bitcoin is denied to get any lawful status by RBI.

The correct sequence is AFCEBD.

Additional Information 

  • The word credibility used in the first (A part of the paragraph) sentence here means acceptability and a probable chance for bitcoins to get lawful status by RBI. Generally, the word ‘credibility’ means trustworthiness and sometimes it also means reputation.
  • Example: The cricketer’s arrest for taking bribes and match-fixing drastically damaged his credibility as a hardworking and loyal cricketer.

Correct paragraph: With the Indian economy experiencing a period of financial change and the Indian government's increasing accentuation on digital payment, it's an ideal opportunity to reassess the credibility of utilizing bitcoins. A Bitcoin is a sort of computerized cash in which encryption procedures are utilized to direct the generation of units of money. The utilization of bitcoins over limited cash accompanies a large group of favorable circumstances. The transactions are extremely quick and cheap. Where international wire transactions require a few days, a Bitcoin transaction is confirmed within an hour. Also, it doesn't require conventional paperwork. It very well may be traded across borders with limited regulation and inhibition. However, regardless of the advantages Bitcoins guarantees to offer, it has been denied any lawful status by the RBI.

44

Which is the FIFTH sentence after rearrangement?

  1. ((a))

    A

  2. ((b))

    D

  3. ((c))

    B

  4. ((d))

    E

  5. ((e))

    F

Show Answer
Answer: ((c))

B

The correct answer is B.

Key Points 

The given paragraph is about bitcoins and how they can boost the financial condition of the Indian economy.

  • Sentence A is the first sentence because it introduces the topic of the paragraph “bitcoins and how it can boost the financial condition of the Indian economy.” by mentioning it as an ideal opportunity for the Indian economy to reassess the credibility of using bitcoins.
  • Sentence F is the second sentence as it explains the meaning and uses of a bitcoin.
  • Sentence C is the third sentence as it demonstrates the utilization of bitcoins.
  • Sentence E is the fourth sentence as it showcases the advantages of bitcoins.
  • Sentence B is the fifth sentence as it further explains some more advantages of bitcoins.
  • Sentence D is the sixth and last sentence of a paragraph as it concludes the paragraph. It explains that despite bitcoin’s advantages, how bitcoin is denied to get any lawful status by RBI.

The correct sequence is AFCEBD.

Additional Information 

  • The word credibility used in the first (A part of the paragraph) sentence here means acceptability and a probable chance for bitcoins to get lawful status by RBI. Generally, the word ‘credibility’ means trustworthiness and sometimes it also means reputation.
  • Example: The cricketer’s arrest for taking bribes and match-fixing drastically damaged his credibility as a hardworking and loyal cricketer.

Correct paragraph: With the Indian economy experiencing a period of financial change and the Indian government's increasing accentuation on digital payment, it's an ideal opportunity to reassess the credibility of utilizing bitcoins. A Bitcoin is a sort of computerized cash in which encryption procedures are utilized to direct the generation of units of money. The utilization of bitcoins over limited cash accompanies a large group of favorable circumstances. The transactions are extremely quick and cheap. Where international wire transactions require a few days, a Bitcoin transaction is confirmed within an hour. Also, it doesn't require conventional paperwork. It very well may be traded across borders with limited regulation and inhibition. However, regardless of the advantages Bitcoins guarantees to offer, it has been denied any lawful status by the RBI. 

.

45

What is the SIXTH sentence after rearrangement?

  1. ((a))

    B

  2. ((b))

    F

  3. ((c))

    E

  4. ((d))

    A

  5. ((e))

    D

Show Answer
Answer: ((e))

D

The correct answer is D.

Key Points

The given paragraph is about bitcoins and how they can boost the financial condition of the Indian economy.

  • Sentence A is the first sentence because it introduces the topic of the paragraph “bitcoins and how it can boost the financial condition of the Indian economy.” by mentioning it as an ideal opportunity for the Indian economy to reassess the credibility of using bitcoins.
  • Sentence F is the second sentence as it explains the meaning and uses of a bitcoin.
  • Sentence C is the third sentence as it demonstrates the utilization of bitcoins.
  • Sentence E is the fourth sentence as it showcases the advantages of bitcoins.
  • Sentence B is the fifth sentence as it further explains some more advantages of bitcoins.
  • Sentence D is the sixth and last sentence of a paragraph as it concludes the paragraph. It explains that despite bitcoin’s advantages, how bitcoin is denied to get any lawful status by RBI.

The correct sequence is AFCEBD.

Additional Information

  • The word credibility used in the first (A part of the paragraph) sentence here means acceptability and a probable chance for bitcoins to get lawful status by RBI. Generally, the word ‘credibility’ means trustworthiness and sometimes it also means reputation.
  • Example: The cricketer’s arrest for taking bribes and match-fixing drastically damaged his credibility as a hardworking and loyal cricketer.

Correct paragraph: With the Indian economy experiencing a period of financial change and the Indian government's increasing accentuation on digital payment, it's an ideal opportunity to reassess the credibility of utilizing bitcoins. A Bitcoin is a sort of computerized cash in which encryption procedures are utilized to direct the generation of units of money. The utilization of bitcoins over limited cash accompanies a large group of favorable circumstances. The transactions are extremely quick and cheap. Where international wire transactions require a few days, a Bitcoin transaction is confirmed within an hour. Also, it doesn't require conventional paperwork. It very well may be traded across borders with limited regulation and inhibition. However, regardless of the advantages Bitcoins guarantees to offer, it has been denied any lawful status by the RBI.

46

Directions: In the following sentence, four words, marked as A, B, C, and D, are given in bold, out of which one word may or may not be misspelt. Identify the misspelt word and mark it as your answer. If all the highlighted words are correctly spelt, mark "All are correctly spelt" as your answer.

Despite her assidiuous (A) efforts, the committee (B) remained sceptical (C) about the veracity (D) of her findings.

  1. ((a))

    A

  2. ((b))

    B

  3. ((c))

    D

  4. ((d))

    C

  5. ((e))

    All are correctly spelt

Show Answer
Answer: ((a))

A

The correct answer is: Option 1 (A).

Key Points

  • The word "assidiuous" is misspelt in the given sentence. The correct spelling is "assiduous".
  • "Assiduous" means showing great care, attention, and persistence in work or effort. (लगनशील)
  • Example: Her assiduous preparation for the exam ensured her success.
  • "Assidiuous" is an incorrect spelling and does not hold any meaning in English.
  • Example: There is no example for "assidiuous" since it is not a valid word.

Therefore, the correct answer is: Option 1 (A).

Additional Information

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

  • Committee (समिति): A group of people appointed for a specific function or task.
  • Example: The committee will decide on the best course of action tomorrow.
  • Sceptical (संदेहपूर्ण): Having doubts or reservations about something.
  • Example: She was sceptical about the accuracy of the information provided.
  • Veracity (सत्यता): Conformity to facts; truthfulness.
  • Example: The detective questioned the veracity of the witness's statement.
47

Directions: In the following sentence, four words, marked as A, B, C, and D, are given in bold, out of which one word may or may not be misspelt. Identify the misspelt word and mark it as your answer. If all the highlighted words are correctly spelt, mark "All are correctly spelt" as your answer.

The professor’s (A) elucidation (B) of the paradoxical (C) results was met with widespread aquiescence (D) among the academic audience.

  1. ((a))

    A

  2. ((b))

    B

  3. ((c))

    D

  4. ((d))

    C

  5. ((e))

    All are correctly spelt

Show Answer
Answer: ((c))

D

The correct answer is: Option 3, i.e., "aquiescence."

Key Points

  • The word "aquiescence" is misspelt. The correct spelling is "acquiescence."
  • Acquiescence means the reluctant acceptance of something without protest. (अनुमति देना या मूक सहमति)
  • Example: The team showed acquiescence to the manager's decision despite their reservations.
  • The misspelt word "aquiescence" lacks the correct arrangement of letters. The correct spelling, "acquiescence," includes the "c" after "a" and "quiescence" for proper formation. (सही शब्द में "a" के बाद "c" आता है।)
  • Example: Her acquiescence to the terms of the agreement ensured a smooth negotiation process.

Therefore, the correct answer is: Option 3.

Additional Information

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

  • Professor's (प्रोफेसर का): Relating to a person who teaches at a college or university.
  • Example: The professor's lecture on quantum mechanics was highly informative.
  • Elucidation (स्पष्टीकरण): The act of making something clear or easy to understand.
  • Example: His elucidation of the complex concept helped students grasp it better.
  • Paradoxical (विरोधाभासी): Something that seems contradictory or against common sense but might be true.
  • Example: It’s paradoxical that the more we know, the less certain we become.
  • All are correctly spelt (सभी सही वर्तनी में हैं): Indicates that there are no spelling errors in the sentence.
  • Example: In this case, all the highlighted words are correctly spelt.
48

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 CEO’s dogmatic (A) approach to management was lauded (B) by those who valued flexibility (C), but it was criticized (D) by proponents of rigid hierarchy.

  1. ((a))

    A-C

  2. ((b))

    B-D

  3. ((c))

    B-C and A-D

  4. ((d))

    A-D

  5. ((e))

    No interchange required

Show Answer
Answer: ((b))

B-D

The correct answer is Option 2.

 

Key Points

  • A dogmatic approach refers to a rigid and authoritarian style of management.
  • People who value flexibility are unlikely to laud a dogmatic approach; they would more naturally criticize it.
  • On the other hand, proponents of rigid hierarchy are more likely to laud a dogmatic approach.
  • Hence, interchanging B (lauded) and D (criticized) makes the sentence meaningful.

Therefore, the correct answer is B-D.

 

Correct Sentence: "The CEO’s dogmatic approach to management was criticized by those who valued flexibility, but it was lauded by proponents of rigid hierarchy."

 

Additional Information

  • Option 1: A-C – Incorrect. It produces the meaningless phrase "flexibility approach".
  • Option 2: B-DCorrect. It aligns the reactions of both groups with their beliefs.
  • Option 3: B-C and A-D – Incorrect. The sentence becomes grammatically and logically incorrect.
  • Option 4: A-D – Incorrect. An adjective and a verb cannot be interchanged meaningfully.
  • Option 5: No interchange required – Incorrect. Although grammatically correct, the original sentence is logically inconsistent.
49

Direction- Which of the phrases given below the sentence should replace the word or phrase given in bold in the sentence to make it grammatically correct? If the sentence is correct as it is given and no correction is required, mark 'No correction required' as the answer.

Post Office rules forbid employees to not accept tips.

  1. ((a))

    No correction

  2. ((b))

    to not except tips.

  3. ((c))

    to not accepted tips.

  4. ((d))

    to not accepting tips.

  5. ((e))

    to accept tips.

Show Answer
Answer: ((e))

to accept tips.

The correct answer is 'to accept tips'.

Key Points

  • Negative words such as 'not/never' are not used with deny, forbid, both, unless, until, lest, etc.
  • Thus in the given sentence, we will omit 'not' to make the sentence grammatically correct.
  • Hence, option 5 is the correct answer.

Additional Information

  • Forbid is a verb that means refuse to allow something.
  • For eg.- I can see why phones were forbidden.
50

Which of the phrases given below the sentence should replace the word/phrase given in bold in the sentence to make it grammatically correct? If the sentence is correct as it given and no correction is required, mark 'No correction required' as the answer.

It is necessary for anyone to follow the safety protocols when inside the hall.

  1. ((a))

    anybody

  2. ((b))

    somebody 

  3. ((c))

    no one

  4. ((d))

    everyone

  5. ((e))

    No correction required

Show Answer
Answer: ((d))

everyone

The correct answer is 'everyone.'

Key Points

  • Anyone means anybody or any person.
  • It refers to an individual in a group; which one doesn't matter.
  • Anyone is the usual choice in negative statements and in questions.
  • Example: Has anyone taken my wallet?
  • Everyone means everybody or every person.
  • Example: It is mandatory for everyone to attend the seminar.
  • Thus, anyone should be replaced with everyone.

Additional Information

  • anybody: anyone and anybody have no difference in meaning. Anybody is a little less formal than anyone
  • Example: Anybody can learn French.
  • somebody: an unknown or unspecified person; some person.
  • Example: I need somebody to help me with the assignment.
  • no one: no person
  • Example: No one has come on time for the class.
51

Which of the phrases given below the sentence should replace the word/phrase given below in bold in the sentence to make it grammatically correct? If the sentence is correct as it is given and no correction is required, mark 'No correction required' as the answer.

The unfortunate husband pined off in the memory of his lost wife, who had died an untimely death.

  1. ((a))

    pined away

  2. ((b))

    pined 

  3. ((c))

    pined down

  4. ((d))

    pined up

  5. ((e))

    no correction required

Show Answer
Answer: ((a))

pined away

The correct option is pined away.

Key Points

  • 'pined away' will replace 'pined off'.
  • 'pine' takes the preposition 'away'
  • pined away means died with grief.
  • For example: The horse pined away in pain after being shot.
  • Therefore, the correct answer is: The unfortunate husband pined away in the memory of his lost wife, who had died an untimely death.
52

Directions: The given question has one blank indicating that something has been omitted. Choose the word for the given options that could fit in the blank correctly.

She glanced at Rohit, who had ______ recognized Rina.

  1. ((a))

    lethargically

  2. ((b))

    bluntly

  3. ((c))

    instantly

  4. ((d))

    lazily

  5. ((e))

    hopefully

Show Answer
Answer: ((c))

instantly

The correct answer is instantly.

Key Points

  • Here in the sentence, we need an adverb to qualify the verb 'brought'.
  • Now let's understand the meaning of options:
  • Lethargically: without energy; in a lethargic manner
  • Bluntly: In a blunt direct manner
  • Instantly: Without delay or hesitation; with no time intervening
  • Lazily: In a slow and lazy manner
  • Hopefully: With hope; in a hopeful manner
  • After seeing the Rohit, She immediately recognized Rina. Hence, instantly is the most appropriate choice among all.
  • Hence, option 3 is the correct answer.
53

Directions: Select the most appropriate word to fill in the blank.

Despite this, 44% of schools and 25% of India’s health sub-centers and primary health centers _______ unelectrified.

  1. ((a))

    Remain

  2. ((b))

    Corpse

  3. ((c))

    Relic

  4. ((d))

    Carcass

  5. ((e))

    Revenant

Show Answer
Answer: ((a))

Remain

The correct answer is '​Remain.'

Key Points

  • The given sentence is talking about India’s schools and health centers, not equipped or supplied with electricity till now.
  • Therefore, the most appropriate word to be filled in the blank is 'Remain'.
  • The word 'Remain' means Continue to exist
  • Example: The results of this policy will remain dubious for some time.

Hence, the correct answer is option 1.

Complete Sentence: Despite this, 44% of schools and 25% of India’s health sub-centers and primary health centers remain unelectrified.

Additional Information

  • Let us explore  the other options:
  • Corpse means A dead body, especially of a human being rather than an animal.
  • Relic means An object surviving from an earlier time, especially one of historical interest.
  • Carcass means The dead body of an animal.
  • Revenant means A person who has returned, especially supposedly from the dead.
54

Directions: Choose the word for the given options that could fit in the blank correctly.

I wasn't successful, so they _________ on me.

  1. ((a))

    looked down

  2. ((b))

    looked up

  3. ((c))

    looking after

  4. ((d))

    looked into

  5. ((e))

    looked out

Show Answer
Answer: ((a))

looked down

The correct answer is 'looked down'

Key Points

  • The correct phrasal verb to fit the blank is ‘look down’ which means to degrade someone.
  • Let's understand the meaning of other options:
  • Look up’ means to seek out something.  Eg: The translation process amounted to little more than looking up words in bilingual dictionaries.
  • ‘Look into’ means to investigate something. Eg: The police are looking into the murder of the duchess.
  • ‘Look after’ means to take care of someone. Eg: The housekeeper looks after the house in his absence.
  • 'Look out' means to be careful, to be alert. Eg: A man's gotta look out for his family.
  • Hence, the correct answer is option 1.

The correct sentence is: I wasn't successful, so they looked down on me.

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.

Imminent

A. The dark clouds and strong winds suggested that a storm was imminent.

B. Her promotion at the company seemed imminent due to her hard work and dedication.

C. He was so tired that he felt an imminent need for a vacation.

  1. ((a))

    Only A

  2. ((b))

    Both A & B

  3. ((c))

    Only C

  4. ((d))

    All A, B & C

  5. ((e))

    None of these

Show Answer
Answer: ((b))

Both A & B

The correct answer is option 2.

Key Points

To answer this question, let's first understand the meaning of the highlighted word:

  • imminent - about to happen; fast approaching; impending. (आसन्न)
  • For Example:
  • The siren warned the residents of the imminent danger of a flood.

 

Now, let's break down the sentences to analyze which of them use(s) the highlighted word correctly:

  • A. The dark clouds and strong winds suggested that a storm was imminent.
  • The highlighted word "imminent" is used correctly here. It indicates that the storm is about to happen shortly based on the current weather conditions.
  • B. Her promotion at the company seemed imminent due to her hard work and dedication.
  • The highlighted word "imminent" is used correctly here. It signifies that her promotion is likely to occur in the very near future.
  • C. He was so tired that he felt an imminent need for a vacation.
  • The word "imminent" is used incorrectly here. "Imminent" refers to an event that is about to occur. Since the subject is already tired, the "need" is a present state. Words like "urgent" or "immediate" would be more appropriate to describe a pressing need.
  • So, out of the given sentences, only A and B use the highlighted word correctly.
  • Therefore, the correct answer is "Both A & B."
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.

Lightning

A. The quick and unexpected victory was as swift as lightning.

B. She carefully studied the lightning plant growth in her garden.

C. During the thunderstorm, we saw several bolts of lightning strike the ground.

  1. ((a))

    Only A

  2. ((b))

    Both A & B

  3. ((c))

    Both A & C

  4. ((d))

    All A, B & C

  5. ((e))

    None of these

Show Answer
Answer: ((c))

Both A & C

The correct answer is option 3.

Key Points

To answer this question, let's first understand the meaning and usage of the word "lightning" and its common confusion with "lightening":

  • lightning - a flash of bright light in the sky produced by electricity; or used as an adjective to describe something very quick or sudden. (आकाशीय बिजली / बहुत तेज़)
  • For Example:
  • The tree was struck by lightning during the storm.
  • The team launched a lightning attack on the opponent.
  • lightening - the process of making something lighter in weight or color. (हल्का करना/चमकदार बनाना)
  • For Example:
  • The sky is lightening as the sun begins to rise.

 

Now, let's break down the sentences to analyze which of them use the word "lightning" correctly:

  • A. The quick and unexpected victory was as swift as lightning.
  • The word "lightning" is used correctly here. It is used in a common simile ("swift as lightning") to denote extreme speed.
  • B. She carefully studied the lightning plant growth in her garden.
  • The word "lightning" is used incorrectly here. If the sentence refers to making the plant growth lighter or brighter, the word should be "lightening." If it refers to fast growth, "lightning-fast" would be the appropriate compound adjective, but "lightning" alone does not fit this context.
  • C. During the thunderstorm, we saw several bolts of lightning strike the ground.
  • The word "lightning" is used correctly here. It refers to the electrical discharge during a storm.
  • So, sentences A and C use the word correctly.
  • Therefore, the correct answer is "Both A & C."

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.

The phenomenon of bilingualism and multilingualism has become a significant area of study within the fields of linguistics, psychology, and education. Bilingualism refers to the ability of an individual to use two languages proficiently. Multilingualism, on the other hand, extends this capability, allowing for the fluent use of three or more languages. With globalisation and increased mobility, the prevalence of bilingual and multilingual individuals is on the rise. Research indicates that approximately half of the world's population is bilingual or multilingual, illustrating the dynamic and interconnected nature of human communication. One of the key benefits of bilingualism and multilingualism is the cognitive advantage it affords. Studies have shown that bilingual individuals often exhibit superior ___________ functions, such as problem-solving, multitasking, and cognitive flexibility. This cognitive boost is attributed to the brain's constant management of multiple language systems, which enhances mental agility and resilience. Moreover, bilingualism has been linked to a delay in the onset of dementia and other age-related cognitive declines, suggesting that the mental exercise involved in using multiple languages can contribute to long-term neurological health. In educational settings, bilingual and multilingual students often demonstrate enhanced academic performance. The skills acquired through mastering multiple languages, such as improved memory and better attention control, can translate into higher achievement across various subjects. Furthermore, multilingualism promotes cross-cultural understanding and empathy, as individuals who speak multiple languages typically possess a deeper awareness of different cultural perspectives and practices. Despite its advantages, bilingualism and multilingualism can sometimes pose challenges. For instance, individuals may experience language interference, where elements of one language erroneously influence their use of another. This can lead to errors in grammar, syntax, or vocabulary.

Additionally, the societal context plays a significant role; in some cases, bilingual individuals may face discrimination or social stigma, particularly if one of their languages is regarded as less prestigious or relevant. In addressing these challenges, support from educational and community programmes is crucial. Many schools now offer dual-language programmes or language immersion classes to foster linguistic skills from an early age. Community initiatives also play a role in preserving heritage languages and encouraging positive attitudes towards linguistic diversity. Overall, bilingualism and multilingualism represent valuable assets in our increasingly globalised world. They not only enhance cognitive and academic outcomes but also enrich social interactions and cultural understanding. As societies continue to evolve, the importance of fostering and supporting linguistic diversity cannot be overstated.

57

According to the passage, what is one of the key benefits of bilingualism and multilingualism?

  1. ((a))

    Increased employment opportunities

  2. ((b))

    Enhanced cognitive functions

  3. ((c))

    Superior athletic performance

  4. ((d))

    Improved social relationships

  5. ((e))

    Reduction in crime rates

Show Answer
Answer: ((b))

Enhanced cognitive functions

The correct answer is Option B.

 

Key Points

  • The passage explicitly states that one of the key benefits of bilingualism and multilingualism is the cognitive advantage it provides.
  • It highlights that bilingual individuals often exhibit superior executive functions, such as problem-solving, multitasking, and cognitive flexibility.
  • This boost is attributed to the constant management of multiple language systems, which enhances mental agility and long-term neurological health.
  • Thus, the correct answer is enhanced cognitive functions, as listed in Option B.

Therefore, the correct answer is B.

 

Correct Sentence: "One of the key benefits of bilingualism and multilingualism is the cognitive advantage it affords."

 

Additional Information

  • A: Increased employment opportunities – While relevant in many contexts, the passage does not specifically mention job opportunities as a benefit.
  • C: Superior athletic performance – The passage focuses on mental and linguistic capabilities, making this option irrelevant.
  • D: Improved social relationships – The passage mentions that multilingualism enriches social interactions, but it prioritizes cognitive advantage as a primary key benefit.
  • E: Reduction in crime rates – This point is not discussed or suggested anywhere in the provided text.
58

The passage states that the onset of which condition can be delayed by bilingualism?

  1. ((a))

    Diabetes

  2. ((b))

    Dementia

  3. ((c))

    Heart disease

  4. ((d))

    Arthritis

  5. ((e))

    Depression

Show Answer
Answer: ((b))

Dementia

The correct answer is Option B.

 

Key Points

  • According to the passage, one of the significant neurological benefits of bilingualism is the delay in the onset of dementia.
  • The text states that using multiple languages acts as a form of mental exercise that contributes to long-term health.
  • This is specifically linked to the brain's management of multiple language systems, which enhances resilience against age-related cognitive declines.
  • Thus, dementia is the specific condition mentioned in this context.

Therefore, the correct answer is B.

 

Reference Quote: "Moreover, bilingualism has been linked to a delay in the onset of dementia and other age-related cognitive declines..."

 

Additional Information

  • A, C, D, and E (Diabetes, Heart disease, Arthritis, and Depression) are not mentioned in the passage as conditions affected by bilingualism.
  • The passage focuses primarily on cognitive functions like problem-solving, multitasking, and memory.
  • The benefits described are specifically related to linguistic, psychological, and educational domains rather than general physical health.
59

Which of the following can be inferred from the passage about the societal context of bilingualism?

  1. ((a))

    Bilingual individuals are always admired in society.

  2. ((b))

    Bilingualism can sometimes lead to challenges like language interference.

  3. ((c))

    There is no social stigma attached to bilingualism.

  4. ((d))

    Bilingual individuals never face discrimination.

  5. ((e))

    Bilingualism is only beneficial in educational settings.

Show Answer
Answer: ((b))

Bilingualism can sometimes lead to challenges like language interference.

The correct answer is 'Option B'.

 

Key Points

  • B) Bilingualism can sometimes lead to challenges like language interference.
  • This can be inferred from the passage. The text explicitly mentions that despite its advantages, bilingualism can pose challenges such as language interference, where elements of one language erroneously influence the use of another, leading to errors in grammar or vocabulary.
  • A, C, and D) The societal perception and treatment of bilingual individuals.
  • These cannot be inferred from the passage. The text states that the societal context plays a role where individuals may face discrimination or social stigma, especially if one language is viewed as less prestigious. This directly contradicts the claims that they are "always admired," face "no stigma," or "never face discrimination."
  • E) Bilingualism is only beneficial in educational settings.
  • This cannot be inferred. The passage details numerous benefits beyond education, including cognitive advantages (multitasking, problem-solving), long-term neurological health (delaying dementia), and broader cross-cultural understanding.

Therefore, the correct answer is Option B.

 

Additional Information

  • Option A: Incorrect because the passage mentions the possibility of social stigma.
  • Option C: Incorrect because the passage explicitly notes that social stigma can be attached to bilingualism.
  • Option D: Incorrect because the passage states that bilingual individuals may face discrimination in certain societal contexts.
  • Option E: Incorrect because the benefits of bilingualism extend to cognitive health and social empathy, not just academic performance.
60

Which of the following statements can be inferred from the passage?

A. The achievements of bilingual and multilingual students are limited to language-related subjects.

B. Bilingualism aids in fostering cultural understanding and empathy.

C. Multilingualism is only beneficial in non-academic areas.

  1. ((a))

    Only A

  2. ((b))

    Only B

  3. ((c))

    Only C

  4. ((d))

    Both A and B

  5. ((e))

    Both B and C

Show Answer
Answer: ((b))

Only B

The correct answer is 'Option B'.

 

Key Points

  • A) The achievements of bilingual and multilingual students are limited to language-related subjects.
  • This cannot be inferred from the passage. The passage explicitly states that the skills acquired from mastering multiple languages "can translate into higher achievement across various subjects," not just language-related ones.
  • B) Bilingualism aids in fostering cultural understanding and empathy.
  • This can be inferred from the passage. The passage mentions that multilingualism (which encompasses bilingualism) "promotes cross-cultural understanding and empathy" because speakers possess a deeper awareness of different cultural perspectives.
  • C) Multilingualism is only beneficial in non-academic areas.
  • This cannot be inferred from the passage. The text specifically highlights that "bilingual and multilingual students often demonstrate enhanced academic performance" and that their skills translate into higher achievement in educational settings.

Therefore, the correct answer is Only B.

 

Additional Information

  • Only A: Incorrect because Statement A contradicts the passage's claim about achievement across various subjects.
  • Only C: Incorrect because Statement C contradicts the passage's claim about enhanced academic performance.
  • Both A and B: Incorrect because Statement A is false according to the passage.
  • Both B and C: Incorrect because Statement C is false according to the passage.
61

What will fit in the blank taken from the passage: "Studies have shown that bilingual individuals often exhibit superior ___________ functions, such as problem-solving, multitasking, and cognitive flexibility."

  1. ((a))

    executive

  2. ((b))

    managerial

  3. ((c))

    linguistic

  4. ((d))

    analytical

  5. ((e))

    interpersonal

Show Answer
Answer: ((a))

executive

The correct answer is 'executive'.

 

Key Points

  • The term "executive functions" is a standard psychological term used to describe a set of cognitive processes that include attentional control, inhibitory control, working memory, and cognitive flexibility, as well as reasoning, problem-solving, and planning.
  • In the context of the passage, the blank is followed by examples such as "problem-solving, multitasking, and cognitive flexibility," which are the hallmark traits of executive functions.
  • The passage discusses the cognitive advantages of bilingualism, specifically how managing two language systems enhances the brain's "executive" control.
  • The other options—"managerial," "linguistic," "analytical," and "interpersonal"—do not correctly complete the technical term used to describe these specific cognitive processes.

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

Complete Sentence: Studies have shown that bilingual individuals often exhibit superior executive functions, such as problem-solving, multitasking, and cognitive flexibility.

Additional Information

  • Managerial: Relating to the management or administration of an organization or business.
  • Linguistic: Relating to language or the study of languages.
  • Analytical: Relating to or using analysis or logical reasoning.
  • Interpersonal: Relating to relationships or communication between people.
62

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

A) Bilingualism does not contribute to long-term neurological health.

B) Language immersion classes help foster linguistic skills from a young age.

C) Multilingual individuals always avoid language interference.

  1. ((a))

    Only A

  2. ((b))

    Only B

  3. ((c))

    Only C

  4. ((d))

    A and B

  5. ((e))

    B and C

Show Answer
Answer: ((b))

Only B

The correct answer is Option B.

Key Points

  • Statement A: Bilingualism does not contribute to long-term neurological health.
  • This statement is incorrect. The passage explicitly mentions that bilingualism has been linked to a delay in the onset of dementia and suggests that the mental exercise involved contributes to long-term neurological health.
  • Statement B: Language immersion classes help foster linguistic skills from a young age.
  • This statement is correct as the passage states that many schools offer dual-language programmes or language immersion classes to foster linguistic skills from an early age.
  • Statement C: Multilingual individuals always avoid language interference.
  • This statement is incorrect. The passage notes that individuals may experience language interference, where elements of one language erroneously influence their use of another.

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

63

Which of the following is similar in meaning to "decline" as used in the context of the passage?

  1. ((a))

    Increase

  2. ((b))

    Deterioration

  3. ((c))

    Stability

  4. ((d))

    Strength

  5. ((e))

    Progress

Show Answer
Answer: ((b))

Deterioration

The correct answer is: Option B i.e., Deterioration.

Key Points

  • The word "decline" refers to a gradual and continuous loss of strength, quality, or health; in the context of the passage, it refers to the worsening of cognitive functions. (पतन / गिरावट)
  • Example: The doctor noted a slight decline in the patient's memory over the past year.
  • "Deterioration" refers to the process of becoming progressively worse or the state of being worn away. (बिगाड़ / ह्रास)
  • Example: The deterioration of the old building's structure made it unsafe for residents.
  • Hence, we can infer that the word similar in meaning to 'decline' is 'deterioration'.

Therefore, the correct answer is- Deterioration.

Additional Information

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

  • Increase (वृद्धि): A rise in size, amount, or degree.
  • Example: There has been a significant increase in the number of people learning a second language.
  • Stability (स्थिरता): The state of being stable and not likely to change or fail.
  • Example: Economic stability is crucial for the long-term growth of any nation.
  • Strength (शक्ति / मजबूती): The quality or state of being physically or mentally strong.
  • Example: She showed great mental strength during the most challenging times of her career.
  • Progress (प्रगति): Forward or onwards movement towards a destination or a goal.
  • Example: The researchers are making steady progress in finding a cure for the disease.
64

Which of the following is similar in meaning to "relevant" as used in the context of the passage?

  1. ((a))

    Irrelevant

  2. ((b))

    Unimportant

  3. ((c))

    Pertinent

  4. ((d))

    Obsolete

  5. ((e))

    Outdated

Show Answer
Answer: ((c))

Pertinent

The correct answer is Option C i.e., Pertinent.

Key Points

  • The word "relevant" means closely connected or appropriate to what is being done or considered; it refers to something that has significant bearing on the matter at hand. (प्रासंगिक)
  • Example: The teacher asked the students to only include relevant information in their research papers.
  • "Pertinent" refers to something that is relevant or applicable to a particular matter; it is a direct synonym for relevant in the context of being useful or applicable. (उचित/सम्बद्ध)
  • Example: The lawyer's pertinent questions helped the jury understand the case much better.
  • Hence, we can conclude that the word similar in meaning to 'relevant' is 'pertinent'.

Therefore, the correct answer is- Pertinent.

Additional Information

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

  • Irrelevant (अप्रासंगिक): Not connected with or relevant to something; not useful in a particular situation.
  • Example: Most of the details in the story were irrelevant to the main plot.
  • Unimportant (महत्वहीन): Lacking in importance or significance; not mattering much.
  • Example: It was an unimportant decision that did not affect the project's success.
  • Obsolete (अप्रचलित): No longer produced or used; out of date because something better exists.
  • Example: Gas lamps became obsolete after the invention of the electric light bulb.
  • Outdated (पुराना): No longer useful or acceptable; old-fashioned or not modern.
  • Example: The school's textbooks are outdated and do not contain recent scientific discoveries.
65

Which of the following is opposite in meaning to "benefit" as used in the context of the passage?

  1. ((a))

    Advantage

  2. ((b))

    Profit

  3. ((c))

    Gain

  4. ((d))

    Downside

  5. ((e))

    Boon

Show Answer
Answer: ((d))

Downside

The correct answer is Option D i.e., Downside.

Key Points

  • The word "benefit" means a helpful or good effect, or something intended to help; an advantage. (लाभ / फायदा)
  • Example: One of the main benefits of regular exercise is improved cardiovascular health.
  • "Downside" refers to the negative aspect or disadvantage of something that is otherwise regarded as good or desirable. (नकारात्मक पहलू / दोष)
  • Example: The downside of the new job is that I have to commute for two hours every day.
  • Hence, we can infer that the opposite of 'benefit' is 'downside'.

Therefore, the correct answer is- Downside.

Additional Information

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

  • Advantage (फायदा / सुविधा): A condition or circumstance that puts one in a favourable or superior position.
  • Example: Knowing a second language gives you a significant advantage in the job market.
  • Profit (मुनाफ़ा / लाभ): A financial gain, especially the difference between the amount earned and the amount spent.
  • Example: The company reported a record profit during the last fiscal quarter.
  • Gain (बढ़त / प्राप्ति): An increase in wealth, resources, or a positive quality.
  • Example: The team made a significant gain in confidence after winning the tournament.
  • Boon (वरदान / अनुग्रह): A thing that is very helpful or beneficial.
  • Example: The invention of the internet has been a boon for researchers worldwide.

Quantitative Aptitude (35 questions)

The bar graph shows the number of people register and number of people participate in an event.

Note - Total number people register = Number of people participate + Number of people not participate

66

Find the ratio of total people who did not participate in A and C together to total people who participated in B and E together.

  1. ((a))

    6:7

  2. ((b))

    11:42

  3. ((c))

    11:37

  4. ((d))

    1:3

  5. ((e))

    4:5

Show Answer
Answer: ((b))

11:42

Common Calculation

Formula Used:

⇒ Not Participate = Registered − Participate

Calculation:

⇒ A = 230 − 185 = 45

⇒ B = 220 − 195 = 25

⇒ C = 240 − 175 = 65

⇒ D = 280 − 215 = 65

⇒ E = 260 − 225 = 35

Given:

Not Participate

A = 45, C = 65 → Total = 110

Participate

B = 195, E = 225 → Total = 420

Formula Used:

⇒ Required Ratio = Value₁ : Value₂

Calculation:

⇒ 110 : 420

⇒ Divide by 10

⇒ 11 : 42

Answer: 11 : 42

67

If from each office, 10% of registered people are removed, and from remaining people only original participants stay same, then find the total number of new non-participants across all offices?

  1. ((a))

    134%

  2. ((b))

    112%

  3. ((c))

    108%

  4. ((d))

    120%

  5. ((e))

    129%

Show Answer
Answer: ((b))

112%

Common Calculation

Formula Used:

⇒ Not Participate = Registered − Participate

Calculation:

⇒ A = 230 − 185 = 45

⇒ B = 220 − 195 = 25

⇒ C = 240 − 175 = 65

⇒ D = 280 − 215 = 65

⇒ E = 260 − 225 = 35

Given:

Total Registered = 230 + 220 + 240 + 280 + 260 = 1230

Participants = 185 + 195 + 175 + 215 + 225 = 995

Formula Used:

⇒ New Registered = 90% of Total

⇒ New Not Participate = New Registered – Participants

Calculation:

⇒ New Registered = 1230 × 90% = 1107

⇒ New Not Participate = 1107 − 995 = 112

Answer: 112

68

If number of participants in D increases by 20% and in C decreases by 10%, then find the Participants in D is approximately what percent of participants in C after change?

  1. ((a))

    223%

  2. ((b))

    153%

  3. ((c))

    140%

  4. ((d))

    164%

  5. ((e))

    147%

Show Answer
Answer: ((d))

164%

Common Calculation

Formula Used:

⇒ Not Participate = Registered − Participate

Calculation:

⇒ A = 230 − 185 = 45

⇒ B = 220 − 195 = 25

⇒ C = 240 − 175 = 65

⇒ D = 280 − 215 = 65

⇒ E = 260 − 225 = 35

Given:

C = 175, D = 215

Formula Used:

⇒ Increase = Value × %

⇒ Decrease = Value × %

Calculation:

⇒ D new = 215 + (20% of 215)

⇒ 215 + 43 = 258

⇒ C new = 175 − (10% of 175)

⇒ 175 − 17.5 = 157.5

⇒ % = (258 / 157.5) × 100

⇒ 163.81%

Answer: 164%

69

In office A and E, ratio of male to female among participants is 3 : 2 and 5 : 4 respectively. Find the ratio of total females A and E.

  1. ((a))

    7:5

  2. ((b))

    11:19

  3. ((c))

    17:19

  4. ((d))

    7:9

  5. ((e))

    37:50

Show Answer
Answer: ((e))

37:50

Common Calculation

Formula Used:

⇒ Not Participate = Registered − Participate

Calculation:

⇒ A = 230 − 185 = 45

⇒ B = 220 − 195 = 25

⇒ C = 240 − 175 = 65

⇒ D = 280 − 215 = 65

⇒ E = 260 − 225 = 35

Given:

Participants

A = 185, E = 225

A ⇒ M : F = 3 : 2 → Total parts = 5

E ⇒ M : F = 5 : 4 → Total parts = 9

Formula Used:

⇒ Female = (Total × Female part) / Total parts

Calculation:

⇒ A female = (185 × 2) / 5 = 74

⇒ E female = (225 × 4) / 9 = 100

⇒ Ratio = 74 : 100

⇒ 37 : 50

Answer: 37 : 50

70

Number of people who did not participate from C and D together is what percent more/less than those from A and B together?

  1. ((a))

    85.71% less

  2. ((b))

    5.71% less

  3. ((c))

    85.71% more

  4. ((d))

    5.71% more

  5. ((e))

    15.71% more

Show Answer
Answer: ((c))

85.71% more

Common Calculation

Formula Used:

⇒ Not Participate = Registered − Participate

Calculation:

⇒ A = 230 − 185 = 45

⇒ B = 220 − 195 = 25

⇒ C = 240 − 175 = 65

⇒ D = 280 − 215 = 65

⇒ E = 260 − 225 = 35

Given:

Not Participate

A = 45, B = 25, C = 65, D = 65

⇒ (C + D) = 65 + 65 = 130

⇒ (A + B) = 45 + 25 = 70

Formula Used:

⇒ % Difference = [(Value₁ − Value₂) / Value₂] × 100

Calculation:

⇒ [(130 − 70) / 70] × 100

⇒ (60 / 70) × 100

⇒ 85.71%

Answer: 85.71% more

71

Rs. [x + 200] invest for 2 years at 20% rate of interest of compound interest and Rs. [x + 600] invest at 10% rate of compound interest for 2 years. If the ratio of interest is 11:7 then find the value of x?

  1. ((a))

    1800

  2. ((b))

    1600

  3. ((c))

    800

  4. ((d))

    1000

  5. ((e))

    1200

Show Answer
Answer: ((d))

1000

Shortcut Trick

Effective Compound Interest rate for 2 years at 20% = 20 + 20 + (20×20)/100 = 44%.

Effective Compound Interest rate for 2 years at 10% = 10 + 10 + (10×10)/100 = 21%.

Ratio of Interest = [44% of (x + 200)] / [21% of (x + 600)] = 11 / 7.

4 × (x + 200) / [3 × (x + 600)] = 1 / 1 ⇒ 4x + 800 = 3x + 1800 ⇒ x = 1000.

∴ The correct answer is 1000.

Alternate Method

Given:

P1 = ₹(x + 200), R1 = 20%, T = 2 years

P2 = ₹(x + 600), R2 = 10%, T = 2 years

Formula Used: CI = P[(1 + R/100)n − 1]

Calculations:

⇒ CI1 = (x + 200) × [(1 + 20/100)2 − 1] = (x + 200) × 0.44

⇒ CI2 = (x + 600) × [(1 + 10/100)2 − 1] = (x + 600) × 0.21

⇒ [(x + 200) × 0.44] / [(x + 600) × 0.21] = 11 / 7

⇒ [44 × (x + 200)] / [21 × (x + 600)] = 11 / 7

⇒ [4 × (x + 200)] / [3 × (x + 600)] = 1 / 1

⇒ 4x + 800 = 3x + 1800

⇒ x = 1000

∴ The correct answer is 1000.

Additional Information

Effective Interest Rate Formula

For compound interest over 2 years, the effective rate can be calculated using the successive percentage formula: Reff = R + R + (R×R)/100.

Compound Interest vs Simple Interest

The difference between CI and SI for 2 years is P(R/100)2. For 1 year, CI and SI are equal if interest is compounded annually.

Quarterly/Half-Yearly Compounding

If compounded half-yearly, the rate becomes R/2 and time becomes 2T. If quarterly, the rate becomes R/4 and time becomes 4T.

72

Ratio of speed of train A and train B is 5:4. Average length of train A and train B is 652.5 m. Train A and train B cross each other when moving in the opposite direction is 29 sec find the speed of train A?

  1. ((a))

    120

  2. ((b))

    108

  3. ((c))

    54

  4. ((d))

    90

  5. ((e))

    84

Show Answer
Answer: ((d))

90

Shortcut Trick

Total distance = Sum of lengths = 2 × Average Length = 2 × 652.5 = 1305 m.

Relative Speed = Total Distance ÷ Time = 1305 ÷ 29 = 45 m/s.

Ratio of speeds = 5 : 4 → Sum of ratios = 9 units = 45 m/s.

1 unit = 5 m/s ⇒ Speed of Train A = 5 × 5 = 25 m/s.

In kmph: 25 × (18/5) = 90 kmph.

∴ The correct answer is 90 kmph.

Alternate Method

Given: Ratio of speeds (SA : SB) = 5 : 4. Average length = 652.5 m. Time to cross = 29 sec.

Formula: Relative Speed (Opposite) = SA + SB; Distance = Speed × Time.

⇒ Total Length (LA + LB) = 2 × 652.5 = 1305 m.

⇒ Let speeds be 5x and 4x.

⇒ Relative Speed = 5x + 4x = 9x.

⇒ 1305 = 9x × 29

⇒ 9x = 1305 ÷ 29 = 45

⇒ x = 5 m/s.

⇒ Speed of Train A = 5x = 5 × 5 = 25 m/s.

⇒ Speed in kmph = 25 × (18/5) = 90 kmph.

∴ The correct answer is 90 kmph.

Additional Information

Relative Speed Concept

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

Unit Conversion

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

Crossing Rule

When two trains cross each other, the total distance traveled is always equal to the sum of the lengths of both trains (L1 + L2).

73

In the given question, two equations numbered l and II are given. Solve both equations and mark the appropriate answer.

I. x² − 11x + 30 = 0

II. y² − 13y + 40 = 0

  1. ((a))

    x < y

  2. ((b))

    x ≥ y

  3. ((c))

    Relationship between x and y cannot be determined or x=y.

  4. ((d))

    x ≤ y

  5. ((e))

    x > y

Show Answer
Answer: ((c))

Relationship between x and y cannot be determined or x=y.

Calculation:

From I:

x2 − 11x + 30 = 0

x2 − 5x − 6x + 30 = 0

x(x − 5) − 6(x − 5) = 0

(x − 5)(x − 6) = 0

x = 5, 6

From II:

y2 − 13y + 40 = 0

y2 − 5y − 8y + 40 = 0

y(y − 5) − 8(y − 5) = 0

(y − 5)(y − 8) = 0

y = 5, 8

Comparing values:

When x = 5 and y = 5, then x = y

When x = 5 and y = 8, then x < y

When x = 6 and y = 5, then x > y

When x = 6 and y = 8, then x < y

∴ Relation between x and y cannot be established or x = y.

74

In the given question, two equations numbered l and II are given. Solve both equations and mark the appropriate answer.

I. x- 9x + 20 = 0

II. y- 25y - 150 = 0

  1. ((a))

    x < y

  2. ((b))

    x > y

  3. ((c))

    x ≤ y

  4. ((d))

     x ≥ y

  5. ((e))

    Relationship between x and y cannot be determined or x=y.

Show Answer
Answer: ((e))

Relationship between x and y cannot be determined or x=y.

Calculation:

From I:

x2 − 9x + 20 = 0

x2 − 5x − 4x + 20 = 0

x(x − 5) − 4(x − 5) = 0

(x − 5)(x − 4) = 0

x = 5, 4

From II:

y2 − 25y − 150 = 0

y2 − 30y + 5y − 150 = 0

y(y − 30) + 5(y − 30) = 0

(y + 5)(y − 30) = 0

y = -5, 30

Comparing values:

When x = 5 and y = -5, then x > y

When x = 5 and y = 30, then x < y

When x = 4 and y = -5, then x > y

When x = 4 and y = 30, then x < y

∴ Relation between x and y cannot be established or x = y.

75

In the given question, two equations numbered l and II are given. Solve both equations and mark the appropriate answer.

I. x+ 5x + 6 = 0

II. y2+ 12y - 160 = 0

  1. ((a))

    x < y

  2. ((b))

    x ≤ y

  3. ((c))

     x > y

  4. ((d))

     x ≥ y

  5. ((e))

    Relationship between x and y cannot be determined or x = y

Show Answer
Answer: ((e))

Relationship between x and y cannot be determined or x = y

Calculation:

From I:

x2 + 5x + 6 = 0

x2 + 2x + 3x + 6 = 0

x(x + 2) + 3(x + 2) = 0

(x + 2)(x + 3) = 0

x = -2, -3

From II:

y2 + 12y − 160 = 0

y2 + 20y − 8y − 160 = 0

y(y + 20) − 8(y + 20) = 0

(y − 8)(y + 20) = 0

y = 8, -20

Comparing values:

When x = -2 and y = 8, then x < y

When x = -2 and y = -20, then x > y

When x = -3 and y = 8, then x < y

When x = -3 and y = -20, then x > y

∴ Relation between x and y cannot be established or x = y.

76

In the given question, two equations numbered l and II are given. Solve both equations and mark the appropriate answer.

I. x- 36x + 224 = 0

II. y+ 15y + 54 = 0

  1. ((a))

    x < y

  2. ((b))

    x > y

  3. ((c))

    x ≤ y

  4. ((d))

    x ≥ y

  5. ((e))

    Relationship between x and y cannot be determined or x=y.

Show Answer
Answer: ((b))

x > y

Calculation:

From I:

x2 − 36x + 224 = 0

x2 − 28x − 8x + 224 = 0

x(x − 28) − 8(x − 28) = 0

(x − 28)(x − 8) = 0

x = 28, 8

From II:

y2 + 15y + 54 = 0

y2 + 9y + 6y + 54 = 0

y(y + 9) + 6(y + 9) = 0

(y + 9)(y + 6) = 0

y = -9, -6

Comparing values:

When x = 28 and y = -9, then x > y

When x = 28 and y = -6, then x > y

When x = 8 and y = -9, then x > y

When x = 8 and y = -6, then x > y

∴ x > y.

77

In the given question, two equations numbered l and II are given. Solve both equations and mark the appropriate answer.

I. x- 18x + 56 = 0

II. y- 25y + 144 = 0

  1. ((a))

    x < y

  2. ((b))

    x > y

  3. ((c))

    x ≤ y

  4. ((d))

    x ≥ y

  5. ((e))

    Relationship between x and y cannot be determined or x = y.

Show Answer
Answer: ((e))

Relationship between x and y cannot be determined or x = y.

Calculation:

From I:

x2 − 18x + 56 = 0

x2 − 14x − 4x + 56 = 0

x(x − 14) − 4(x − 14) = 0

(x − 14)(x − 4) = 0

x = 14, 4

From II:

y2 − 25y + 144 = 0

y2 − 16y − 9y + 144 = 0

y(y − 16) − 9(y − 16) = 0

(y − 16)(y − 9) = 0

y = 16, 9

Comparing values:

When x = 14 and y = 9, then x > y

When x = 14 and y = 16, then x < y

When x = 4 and y = 9, then x < y

When x = 4 and y = 16, then x < y

∴ Relation between x and y cannot be established or x = y.

78

Ratio of upstream and downstream is 3 : 5. Speed of the stream is 4 km/hr. Find the ratio of time taken to go 96 km downstream and return?

  1. ((a))

    1 : 2

  2. ((b))

    4 : 9

  3. ((c))

    11 : 17

  4. ((d))

    3 : 5

  5. ((e))

    3 : 7

Show Answer
Answer: ((d))

3 : 5

Shortcut Trick

For a fixed distance, the time taken is inversely proportional to the speed.

Given Speed Ratio (Upstream : Downstream) = 3 : 5.

Since the boat returns to the same point, the distance is constant.

Time Ratio (Downstream : Upstream) = Inverse of Speed Ratio = 3 : 5.

∴ The correct answer is 3 : 5.

Alternate Method

Given: Ratio of Upstream speed (u) to Downstream speed (v) = 3 : 5. Speed of stream = 4 km/hr. Distance = 96 km.

Formula Used: Time = Distance ÷ Speed

⇒ Let Upstream speed = 3x and Downstream speed = 5x.

⇒ Time taken to go 96 km downstream (Td) = 96 ÷ 5x

⇒ Time taken to return 96 km upstream (Tu) = 96 ÷ 3x

⇒ Required Ratio = Td : Tu

⇒ Required Ratio = (96 / 5x) : (96 / 3x)

⇒ Required Ratio = (1 / 5) : (1 / 3) = 3 : 5

∴ The correct answer is 3 : 5.

Additional Information

Speed Relations in Boats

Speed of Boat in still water (B) = (Downstream + Upstream) ÷ 2. Speed of Stream (S) = (Downstream − Upstream) ÷ 2.

Time-Speed Inverse Relation

When distance is constant, the ratio of time taken is the inverse of the ratio of speeds. If speed ratio is a:b, time ratio is b:a.

Average Speed for Round Trip

Average speed for a boat going to a point and returning is (Upstream × Downstream) ÷ Boat speed in still water.

In school A, the number of students who like only art is 40 less than the number of students who like only music in school B. The ratio of the number of students who like both art and music in school A to B is 8:9. The number of students who like only music in school A is 200 less than the number of students who like only art in school. B. The ratio of the number of students who like only art in schools A and B is 8: 11. Number of students who like both art and music in school A is 1/3rd of the number of students who like only music in the same school. The number of students who like both art and music in school B is 1/4th of the number of students who like only music in the same school.

79

Number of students who like both art and music school C is 20% more than the same in school b. Find the number of students who like both art and music in school in C?

  1. ((a))

    134

  2. ((b))

    128

  3. ((c))

    104

  4. ((d))

    108

  5. ((e))

    124

Show Answer
Answer: ((d))

108

Common Solution:

Only art students in A are 40 less than only music students in B

Ratio of both art and music in A : B = 8 : 9

Only music students in A are 200 less than only art students in B

Ratio of only art students in A : B = 8 : 11

Both in A = 1/3 of only music in A

Both in B = 1/4 of only music in B

Let only art students in A and B be 8x and 11x respectively.

⇒ Only music students in A = 11x − 200

Both in A = (11x − 200) ÷ 3

Ratio of both students in A : B = 8 : 9

⇒ Both in B = 9(11x − 200) ÷ 24

But,

Both in B = 1/4 of only music students in B

⇒ Only music students in B = 4 × 9(11x − 200) ÷ 24

⇒ Only music students in B = 3(11x − 200) ÷ 2

According to question:

Only art students in A are 40 less than only music students in B

⇒ 8x = 3(11x − 200) ÷ 2 − 40

⇒ 16x = 33x − 600 − 80

⇒ 17x = 680

⇒ x = 40

Required values:

Only art in A = 8 × 40 = 320

Only art in B = 11 × 40 = 440

Only music in A = 440 − 200 = 240

Both in A = 240 ÷ 3 = 80

Both in B = 80 × 9 ÷ 8 = 90

Only music in B = 90 × 4 = 360

∴ Final values are:

School A → Only Art = 320, Only Music = 240, Both = 80

School B → Only Art = 440, Only Music = 360, Both = 90

Given:

Both in B = 90

C is 20% more than B

Formula Used:

⇒ New Value = Old × 120%

Calculation:

⇒ C = 90 × 120%

⇒ 90 × 1.2 = 108

Answer: 108

80

Find the difference between number of students who like only Music in school A and B?

  1. ((a))

    110

  2. ((b))

    130

  3. ((c))

    224

  4. ((d))

    264

  5. ((e))

    120

Show Answer
Answer: ((e))

120

Common Solution:

Only art students in A are 40 less than only music students in B

Ratio of both art and music in A : B = 8 : 9

Only music students in A are 200 less than only art students in B

Ratio of only art students in A : B = 8 : 11

Both in A = 1/3 of only music in A

Both in B = 1/4 of only music in B

Let only art students in A and B be 8x and 11x respectively.

⇒ Only music students in A = 11x − 200

Both in A = (11x − 200) ÷ 3

Ratio of both students in A : B = 8 : 9

⇒ Both in B = 9(11x − 200) ÷ 24

But,

Both in B = 1/4 of only music students in B

⇒ Only music students in B = 4 × 9(11x − 200) ÷ 24

⇒ Only music students in B = 3(11x − 200) ÷ 2

According to question:

Only art students in A are 40 less than only music students in B

⇒ 8x = 3(11x − 200) ÷ 2 − 40

⇒ 16x = 33x − 600 − 80

⇒ 17x = 680

⇒ x = 40

Required values:

Only art in A = 8 × 40 = 320

Only art in B = 11 × 40 = 440

Only music in A = 440 − 200 = 240

Both in A = 240 ÷ 3 = 80

Both in B = 80 × 9 ÷ 8 = 90

Only music in B = 90 × 4 = 360

∴ Final values are:

School A → Only Art = 320, Only Music = 240, Both = 80

School B → Only Art = 440, Only Music = 360, Both = 90

Given:

Only Music

A = 240, B = 360

Formula Used:

⇒ Difference = B − A

Calculation:

⇒ 360 − 240 = 120

Answer: 120

81

Ratio of boys and girls who like art in school A is 5:3. Find the difference between number of boys and girls who like art in school A?

  1. ((a))

    220

  2. ((b))

    100

  3. ((c))

    110

  4. ((d))

    160

  5. ((e))

    150

Show Answer
Answer: ((b))

100

Common Solution:

Only art students in A are 40 less than only music students in B

Ratio of both art and music in A : B = 8 : 9

Only music students in A are 200 less than only art students in B

Ratio of only art students in A : B = 8 : 11

Both in A = 1/3 of only music in A

Both in B = 1/4 of only music in B

Let only art students in A and B be 8x and 11x respectively.

⇒ Only music students in A = 11x − 200

Both in A = (11x − 200) ÷ 3

Ratio of both students in A : B = 8 : 9

⇒ Both in B = 9(11x − 200) ÷ 24

But,

Both in B = 1/4 of only music students in B

⇒ Only music students in B = 4 × 9(11x − 200) ÷ 24

⇒ Only music students in B = 3(11x − 200) ÷ 2

According to question:

Only art students in A are 40 less than only music students in B

⇒ 8x = 3(11x − 200) ÷ 2 − 40

⇒ 16x = 33x − 600 − 80

⇒ 17x = 680

⇒ x = 40

Required values:

Only art in A = 8 × 40 = 320

Only art in B = 11 × 40 = 440

Only music in A = 440 − 200 = 240

Both in A = 240 ÷ 3 = 80

Both in B = 80 × 9 ÷ 8 = 90

Only music in B = 90 × 4 = 360

∴ Final values are:

School A → Only Art = 320, Only Music = 240, Both = 80

School B → Only Art = 440, Only Music = 360, Both = 90

Given:

Total Art lovers in A = Only Art + Both

⇒ 320 + 80 = 400

Ratio (Boys : Girls) = 5 : 3

Formula Used:

⇒ Difference = (Total × (5−3)) / (5+3)

Calculation:

⇒ Difference = (400 × 2) / 8

⇒ 100

Answer: 100

82

If total 80 students in school B who did not like anything between art and music then find the total number of students in school B?

  1. ((a))

    860

  2. ((b))

    970

  3. ((c))

    960

  4. ((d))

    980

  5. ((e))

    840

Show Answer
Answer: ((b))

970

Common Solution:

Only art students in A are 40 less than only music students in B

Ratio of both art and music in A : B = 8 : 9

Only music students in A are 200 less than only art students in B

Ratio of only art students in A : B = 8 : 11

Both in A = 1/3 of only music in A

Both in B = 1/4 of only music in B

Let only art students in A and B be 8x and 11x respectively.

⇒ Only music students in A = 11x − 200

Both in A = (11x − 200) ÷ 3

Ratio of both students in A : B = 8 : 9

⇒ Both in B = 9(11x − 200) ÷ 24

But,

Both in B = 1/4 of only music students in B

⇒ Only music students in B = 4 × 9(11x − 200) ÷ 24

⇒ Only music students in B = 3(11x − 200) ÷ 2

According to question:

Only art students in A are 40 less than only music students in B

⇒ 8x = 3(11x − 200) ÷ 2 − 40

⇒ 16x = 33x − 600 − 80

⇒ 17x = 680

⇒ x = 40

Required values:

Only art in A = 8 × 40 = 320

Only art in B = 11 × 40 = 440

Only music in A = 440 − 200 = 240

Both in A = 240 ÷ 3 = 80

Both in B = 80 × 9 ÷ 8 = 90

Only music in B = 90 × 4 = 360

∴ Final values are:

School A → Only Art = 320, Only Music = 240, Both = 80

School B → Only Art = 440, Only Music = 360, Both = 90

Given:

School B

Only Art = 440

Only Music = 360

Both = 90

Neither = 80

Formula Used:

⇒ Total = Sum of all categories

Calculation:

⇒ Total = 440 + 360 + 90 + 80

⇒ 970

Answer: 970

83

Find the total number of students in school A and B together who like both art and music?

  1. ((a))

    230

  2. ((b))

    240

  3. ((c))

    170

  4. ((d))

    160

  5. ((e))

    180

Show Answer
Answer: ((c))

170

Common Solution:

Only art students in A are 40 less than only music students in B

Ratio of both art and music in A : B = 8 : 9

Only music students in A are 200 less than only art students in B

Ratio of only art students in A : B = 8 : 11

Both in A = 1/3 of only music in A

Both in B = 1/4 of only music in B

Let only art students in A and B be 8x and 11x respectively.

⇒ Only music students in A = 11x − 200

Both in A = (11x − 200) ÷ 3

Ratio of both students in A : B = 8 : 9

⇒ Both in B = 9(11x − 200) ÷ 24

But,

Both in B = 1/4 of only music students in B

⇒ Only music students in B = 4 × 9(11x − 200) ÷ 24

⇒ Only music students in B = 3(11x − 200) ÷ 2

According to question:

Only art students in A are 40 less than only music students in B

⇒ 8x = 3(11x − 200) ÷ 2 − 40

⇒ 16x = 33x − 600 − 80

⇒ 17x = 680

⇒ x = 40

Required values:

Only art in A = 8 × 40 = 320

Only art in B = 11 × 40 = 440

Only music in A = 440 − 200 = 240

Both in A = 240 ÷ 3 = 80

Both in B = 80 × 9 ÷ 8 = 90

Only music in B = 90 × 4 = 360

∴ Final values are:

School A → Only Art = 320, Only Music = 240, Both = 80

School B → Only Art = 440, Only Music = 360, Both = 90

​Calculations:

Students who like both art and music in school A = 80

Students who like both art and music in school B = 90

⇒ Total students who like both art and music = 80 + 90

⇒ Total = 170

∴ Total number of students in school A and B together who like both art and music is 170.

84

Cost price of the item is Rs. (2x + 20). The ratio of selling price and profit amount is 4:1. Selling price is 3x. Find the profit percentage?

  1. ((a))

    14.14%

  2. ((b))

    22.22%

  3. ((c))

    15%

  4. ((d))

    18%

  5. ((e))

    33.33%

Show Answer
Answer: ((e))

33.33%

Shortcut Trick

Ratio of Selling Price (SP) to Profit = 4 : 1.

As Profit = SP − CP, we can say Cost Price (CP) = SP − Profit = 4 − 1 = 3 units.

Profit percentage = (Profit ÷ CP) × 100.

Profit% = (1 ÷ 3) × 100 = 33.33%.

∴ The correct answer is 33.33%.

Alternate Method

Given: CP = (2x + 20), SP = 3x, and SP : Profit = 4 : 1. Formulas: Profit = SP − CP | Profit% = (Profit ÷ CP) × 100

⇒ Profit = 3x ÷ 4 ⇒ Profit = SP − CP ⇒ 3x ÷ 4 = 3x − (2x + 20) ⇒ 0.75x = x − 20 ⇒ 0.25x = 20 ⇒ x = 80 ⇒ CP = 2(80) + 20 = 180 ⇒ SP = 3(80) = 240 ⇒ Profit = 240 − 180 = 60 ⇒ Profit% = (60 ÷ 180) × 100 = 33.33%

∴ The correct answer is 33.33%.

Additional Information

Relation between SP, CP and Profit

Profit is the difference between Selling Price and Cost Price when SP > CP. Profit% is always calculated on the CP unless mentioned otherwise.

Ratio Method

If SP:Profit is a:b, then CP = (a − b). Profit% = (b ÷ (a − b)) × 100. This avoids the need to find the value of variables like x.

85

Average of 35 numbers of a series is 31. The average of the first 20 numbers is 32. The average of the last five numbers is 19. Find the average of rest ten numbers?

  1. ((a))

    48

  2. ((b))

    35

  3. ((c))

    36

  4. ((d))

    88

  5. ((e))

    30

Show Answer
Answer: ((b))

35

Shortcut Trick

Net deviation from the total average (31) must be zero.

Deviation of first 20 numbers = 20 × (32 − 31) = +20

Deviation of last 5 numbers = 5 × (19 − 31) = −60

Total current deviation = +20 − 60 = −40

To balance, the remaining 10 numbers must have a deviation of +40.

Average of 10 numbers = Base Average + (Total Deviation ÷ 10) = 31 + (40 ÷ 10) = 31 + 4 = 35.

∴ The correct answer is 35.

Alternate Method

Given:

Total numbers (n) = 35, Average = 31

First set (n1) = 20, Average1 = 32

Last set (n3) = 5, Average3 = 19

Middle set (n2) = 10, Average2 = x

Calculations:

⇒ Total sum = 35 × 31 = 1085

⇒ Sum of first 20 numbers = 20 × 32 = 640

⇒ Sum of last 5 numbers = 5 × 19 = 95

⇒ Sum of remaining 10 numbers = 1085 − (640 + 95)

⇒ Sum of remaining 10 numbers = 1085 − 735 = 350

⇒ Average of rest ten numbers = 350 ÷ 10 = 35

∴ The correct answer is 35.

Additional Information

Weighted Average Formula

The overall average A = (n1A1 + n2A2 + ... + nkAk) ÷ (n1 + n2 + ... + nk).

Deviation Method

Sum of deviations of all observations from their arithmetic mean is always zero. This is used for quick calculations in missing number average problems.

86

Ratio of milk and water in a mixture of a container is 4:3. Difference between milk and water is [x + 5] liters. If we add 3 liters water then ratio of milk and water is 6:5. Find the value of x?

  1. ((a))

    4

  2. ((b))

    5

  3. ((c))

    6

  4. ((d))

    12

  5. ((e))

    18

Show Answer
Answer: ((a))

4

Shortcut Trick Initial Ratio (M:W) = 4 : 3 (Difference = 1 unit). Final Ratio after adding 3L water = 6 : 5. Equate Milk (multiply 4:3 by 3 and 6:5 by 2) → 12:9 and 12:10. Increase in water = 10 − 9 = 1 unit → 1 unit = 3 liters. Initial Difference = 12 − 9 = 3 units = 3 × 3 = 9 liters. Given Difference = x + 5 → 9 = x + 5 → x = 4. ∴ The correct answer is 4. Alternate Method

Given: Milk = 4a, Water = 3a. Difference = 4a − 3a = a. Also given, Difference = x + 5 ⇒ a = x + 5. According to the question, 3 liters of water is added: ⇒ 4a ÷ (3a + 3) = 6 ÷ 5 ⇒ 20a = 18a + 18 ⇒ 2a = 18 ⇒ a = 9 Equating the values of a: ⇒ 9 = x + 5 ⇒ x = 4 ∴ The correct answer is 4. Additional Information Ratio and Proportion When adding only one component to a mixture, keep the other component's ratio constant to solve quickly. Mixture Difference Rule If Quantity 1 and Quantity 2 are in ratio m:n, their difference is (m−n) units, provided m > n.

87

Find the approximation value of ‘?’ 

54.867 − 35.975 − 11.1491 − 1.743 = ?

  1. ((a))

    11

  2. ((b))

    12

  3. ((c))

    14

  4. ((d))

    6

  5. ((e))

    8

Show Answer
Answer: ((d))

6

Given:

54.867 − 35.975 − 11.1491 − 1.743

Calculation:

⇒ 55 − 36 − 11 − 2

⇒ 55 − 49

⇒ 6

Approximation value is 6

88

Find the approximation value of ‘?’ 

(71.89 − 37.12) ÷ 5.23 + 16.92 = ?

  1. ((a))

    26

  2. ((b))

    28

  3. ((c))

    36

  4. ((d))

    24

  5. ((e))

    22

Show Answer
Answer: ((d))

24

Given:

(71.89 − 37.12) ÷ 5.23 + 16.92

Calculation:

⇒ (72 − 37) ÷ 5 + 17

⇒ 35 ÷ 5 + 17

⇒ 7 + 17

⇒ 24

Approximation value is 24

89

Find the approximation value of ‘?’ 

√323.89 − 11.91 + 28.91 × 2.901 = ?

  1. ((a))

    84

  2. ((b))

    86

  3. ((c))

    64

  4. ((d))

    58

  5. ((e))

    93

Show Answer
Answer: ((e))

93

Given:

√323.89 − 11.91 + 28.91 × 2.901

Calculation:

⇒ √324 − 12 + 29 × 3

⇒ 18 − 12 + 87

⇒ 93

Approximation value is 93

90

Find the approximation value of ‘?’ 

323.11 ÷ 16.98 + 54 ÷ 3.012 = ?

  1. ((a))

    94

  2. ((b))

    82

  3. ((c))

    64

  4. ((d))

    90

  5. ((e))

    88

Show Answer
Answer: ((e))

88

Given:

323.11 ÷ 16.98 + 5⁴ ÷ 3.01² = ?

Calculation:

⇒ 323 ÷ 17 + 625 ÷ 9

⇒ 19 + 69

⇒ 88

Approximation value is 88

91

Find the approximation value of ‘?’ 

225.12 ÷ 2.9 + 31.8 × 9.9 = ? + 74.24

  1. ((a))

    354

  2. ((b))

    364

  3. ((c))

    396

  4. ((d))

    334

  5. ((e))

    321

Show Answer
Answer: ((e))

321

Given:

225.12 ÷ 2.9 + 31.8 × 9.9 = ? + 74.24

Calculation:

⇒ 225 ÷ 3 + 32 × 10 = ? + 74

⇒ 75 + 320 = ? + 74

⇒ 395 = ? + 74

⇒ ? = 321

Approximation value is 321

92

Ratio of the number of pink balls and white balls is 4 : 7. Find the probability of getting two pink balls when two balls are picked up randomly if the difference between the number of pink balls and white balls is 9?

  1. ((a))

    2/5

  2. ((b))

    7/8

  3. ((c))

    3/5

  4. ((d))

    11/17

  5. ((e))

    1/8

Show Answer
Answer: ((e))

1/8

Shortcut Trick

Ratio of Pink : White = 4 : 7.

Ratio difference = 7 − 4 = 3 units.

3 units = 9 balls → 1 unit = 3 balls.

Pink balls = 4 × 3 = 12; White balls = 7 × 3 = 21; Total balls = 33.

Probability = (12/33) × (11/32) = (4/11) × (11/32) = 4/32 = 1/8.

∴ The correct answer is 1/8.

Alternate Method

Given: Ratio of pink balls to white balls = 4 : 7. Difference = 9.

Formula Used: Probability P(E) = n(E) / n(S); Combination nCr = n! / [r!(n−r)!]

⇒ Let pink balls be 4x and white balls be 7x.

⇒ 7x − 4x = 9 ⇒ 3x = 9 ⇒ x = 3.

⇒ Number of pink balls = 12, Number of white balls = 21.

⇒ Total balls = 12 + 21 = 33.

⇒ n(S) = 33C2 = (33 × 32) / (2 × 1) = 33 × 16 = 528.

⇒ n(E) = 12C2 = (12 × 11) / (2 × 1) = 6 × 11 = 66.

⇒ Probability = 66 / 528 = 1/8.

∴ The correct answer is 1/8.

Additional Information

Probability of Successive Events

When picking items without replacement, the denominator decreases by 1 for each subsequent draw.

Combination Property

nC2 is a shortcut for selecting 2 items from n, calculated as n × (n−1) ÷ 2.

93

A, B and C start a business by investing Rs.8000, Rs,6000, and Rs.10000. After 6 months A and C invest Rs.5000 more, and B invest Rs.2000 more. If after one year share of profit of B is Rs.4200 then find the total profit?

  1. ((a))

    23000

  2. ((b))

    29000

  3. ((c))

    18000

  4. ((d))

    16000

  5. ((e))

    21000

Show Answer
Answer: ((c))

18000

Shortcut Trick

Ratio of profit = Ratio of (Investment × Time).

A : B : C = (8000 × 6 + 13000 × 6) : (6000 × 6 + 8000 × 6) : (10000 × 6 + 15000 × 6).

A : B : C = (48 + 78) : (36 + 48) : (60 + 90) = 126 : 84 : 150.

Simplified Ratio A : B : C = 21 : 14 : 25.

B's share 14 units = Rs.4200 ⇒ 1 unit = 300.

Total units = 21 + 14 + 25 = 60 units ⇒ 60 × 300 = Rs.18000.

∴ The correct answer is Rs.18000.

Alternate Method

Given → Investments of A, B, C for two 6-month periods. Formula: Profit Share = ∑(Investment × Time Period).

⇒ Profit of A = (8000 × 6) + (13000 × 6) = 126000. ⇒ Profit of B = (6000 × 6) + (8000 × 6) = 84000. ⇒ Profit of C = (10000 × 6) + (15000 × 6) = 150000. ⇒ Ratio A:B:C = 126:84:150 = 21:14:25. ⇒ B's Profit = (14 ÷ 60) × Total Profit = 4200. ⇒ Total Profit = (4200 × 60) ÷ 14 = 300 × 60 = 18000.

∴ The correct answer is Rs.18000.

Additional Information

Partnership Basics

Profit is directly proportional to both Capital and Time. Formula: P1:P2 = C1T1:C2T2.

Active vs Sleeping Partner

An Active Partner manages the business and may receive a salary or extra profit percentage before the remaining profit is divided.

The table shows the number of males in five different offices [A, B, C, D, and E].

OfficeNumber of Male
A340
B320
C380
D360
E330

Note – Number of females in A, C and E is 130 less than the number of males in same office and number of females in B and D is 130 more than the number of males in same office.

94

From B, 30% of females move to C. After that, From C, 20% of total employees leave. Find total employees in C after all changes.

  1. ((a))

    612

  2. ((b))

    632

  3. ((c))

    664

  4. ((d))

    657

  5. ((e))

    696

Show Answer
Answer: ((a))

612

Given:

Number of males:

A = 340

B = 320

C = 380

D = 360

E = 330

Condition:

For A, C, E → Female = Male − 130

For B, D → Female = Male + 130

Formula Used:

Female = Male ± 130

Calculation:

⇒ Office A

Female = 340 − 130 = 210

⇒ Office B

Female = 320 + 130 = 450

⇒ Office C

Female = 380 − 130 = 250

⇒ Office D

Female = 360 + 130 = 490

⇒ Office E

Female = 330 − 130 = 200

Final Table:

A → Male = 340, Female = 210

B → Male = 320, Female = 450

C → Male = 380, Female = 250

D → Male = 360, Female = 490

Calculation:

⇒ From B to C

B female = 450 → 30% = 135

⇒ New C (before leaving)

Male = 380

Female = 250 + 135 = 385

Total = 765

⇒ 20% leave

20% of 765 = 153

⇒ Remaining

= 765 − 153

= 612

Answer:

Total employees in C = 612

95

From Office C, number of males transferred to D is equal to the number of females in E. Find the new ratio of males in C to males in D.

  1. ((a))

    7:29

  2. ((b))

    5:28

  3. ((c))

    6:31

  4. ((d))

    9:31

  5. ((e))

    9:28

Show Answer
Answer: ((e))

9:28

Given:

Number of males:

A = 340

B = 320

C = 380

D = 360

E = 330

Condition:

For A, C, E → Female = Male − 130

For B, D → Female = Male + 130

Formula Used:

Female = Male ± 130

Calculation:

⇒ Office A

Female = 340 − 130 = 210

⇒ Office B

Female = 320 + 130 = 450

⇒ Office C

Female = 380 − 130 = 250

⇒ Office D

Female = 360 + 130 = 490

⇒ Office E

Female = 330 − 130 = 200

Final Table:

A → Male = 340, Female = 210

B → Male = 320, Female = 450

C → Male = 380, Female = 250

D → Male = 360, Female = 490

Given:

E → Female = 200

Calculation:

⇒ C

Male = 380 − 200 = 180

⇒ D

Male = 360 + 200 = 560

Answer:

Ratio = 180 : 560

⇒ Divide by 20

= 9 : 28

96

Total employees of A and C together is what percent more/less than total employees of B and E together?

  1. ((a))

    9.23% more

  2. ((b))

    9.23% less

  3. ((c))

    15.32% more

  4. ((d))

    7.07% less

  5. ((e))

    7.07% more

Show Answer
Answer: ((b))

9.23% less

Given:

Number of males:

A = 340

B = 320

C = 380

D = 360

E = 330

Condition:

For A, C, E → Female = Male − 130

For B, D → Female = Male + 130

Formula Used:

Female = Male ± 130

Calculation:

⇒ Office A

Female = 340 − 130 = 210

⇒ Office B

Female = 320 + 130 = 450

⇒ Office C

Female = 380 − 130 = 250

⇒ Office D

Female = 360 + 130 = 490

⇒ Office E

Female = 330 − 130 = 200

Final Table:

A → Male = 340, Female = 210

B → Male = 320, Female = 450

C → Male = 380, Female = 250

D → Male = 360, Female = 490

Calculation:

⇒ A + C

A = 340 + 210 = 550

C = 380 + 250 = 630

Total = 1180

⇒ B + E

B = 320 + 450 = 770

E = 330 + 200 = 530

Total = 1300

Answer:

Difference = 1300 − 1180 = 120

Percentage = (120 / 1300) × 100

= 9.23% less

97

25% of males from B and 20% of females from D leave their offices. Find the ratio of remaining employees in B to D.

  1. ((a))

    313:387

  2. ((b))

    364:321

  3. ((c))

    369:357

  4. ((d))

    369:247

  5. ((e))

    345:376

Show Answer
Answer: ((e))

345:376

Given:

Number of males:

A = 340

B = 320

C = 380

D = 360

E = 330

Condition:

For A, C, E → Female = Male − 130

For B, D → Female = Male + 130

Formula Used:

Female = Male ± 130

Calculation:

⇒ Office A

Female = 340 − 130 = 210

⇒ Office B

Female = 320 + 130 = 450

⇒ Office C

Female = 380 − 130 = 250

⇒ Office D

Female = 360 + 130 = 490

⇒ Office E

Female = 330 − 130 = 200

Final Table:

A → Male = 340, Female = 210

B → Male = 320, Female = 450

C → Male = 380, Female = 250

D → Male = 360, Female = 490

Given:

B → M = 320 → 25% = 80

D → F = 490 → 20% = 98

Calculation:

⇒ New B

Male = 320 − 80 = 240

Female = 450

Total B = 240 + 450 = 690

⇒ New D

Female = 490 − 98 = 392

Male = 360

Total D = 360 + 392 = 752

Answer:

Ratio = 690 : 752

⇒ Divide by 2

= 345 : 376

98

From Office E, 40% of females shift to Office A and from Office A, 20% of males shift to Office E. Find the difference between total employees of A and E after shifting.

  1. ((a))

    62

  2. ((b))

    66

  3. ((c))

    56

  4. ((d))

    44

  5. ((e))

    54

Show Answer
Answer: ((d))

44

Given:

Number of males:

A = 340

B = 320

C = 380

D = 360

E = 330

Condition:

For A, C, E → Female = Male − 130

For B, D → Female = Male + 130

Formula Used:

Female = Male ± 130

Calculation:

⇒ Office A

Female = 340 − 130 = 210

⇒ Office B

Female = 320 + 130 = 450

⇒ Office C

Female = 380 − 130 = 250

⇒ Office D

Female = 360 + 130 = 490

⇒ Office E

Female = 330 − 130 = 200

Final Table:

A → Male = 340, Female = 210

B → Male = 320, Female = 450

C → Male = 380, Female = 250

D → Male = 360, Female = 490

Given:

E → F = 200 → 40% shift = 80

A → M = 340 → 20% shift = 68

Calculation:

⇒ New A

Male = 340 − 68 = 272

Female = 210 + 80 = 290

Total A = 272 + 290 = 562

⇒ New E

Male = 330 + 68 = 398

Female = 200 − 80 = 120

Total E = 398 + 120 = 518

Answer:

Difference = 562 − 518 = 44

99

Ratio of efficiency of A and B is 5:4 and the Ratio of the number of days taken by B and C is 3:4. If C completes the work in [x + 20] days and A, B, and C together complete the work in 10 days. Find the value of x?

  1. ((a))

    28

  2. ((b))

    32

  3. ((c))

    20

  4. ((d))

    24

  5. ((e))

    36

Show Answer
Answer: ((c))

20

Shortcut Trick

Efficiency Ratio A : B = 5 : 4

Time Ratio B : C = 3 : 4 → Efficiency Ratio B : C = 4 : 3

Combined Efficiency Ratio A : B : C = 5 : 4 : 3

Total Work = (5 + 4 + 3) × 10 = 120 units

Days taken by C = 120 ÷ 3 = 40 days

Given C = x + 20 ⇒ 40 = x + 20 ⇒ x = 20

∴ The correct answer is 20.

Alternate Method

Given: Efficiency of A : B = 5 : 4; Days of B : C = 3 : 4; Together = 10 days.

Formula Used: Total Work = Combined Efficiency × Time; Efficiency ∝ 1/Days

PersonDaysTotal WorkEfficiency
A241205
B304
C403

⇒ Efficiency Ratio A : B = 5 : 4

⇒ Time Ratio B : C = 3 : 4 ∴ Efficiency Ratio B : C = 4 : 3

⇒ Combined Efficiency A : B : C = 5 : 4 : 3

⇒ Total Efficiency = 5 + 4 + 3 = 12 units/day

⇒ Total Work = 12 units/day × 10 days = 120 units

⇒ Days taken by C = 120 ÷ 3 = 40 days

⇒ According to question: x + 20 = 40

⇒ x = 40 − 20 = 20

∴ The correct answer is 20.

Additional Information

Efficiency and Time Relation

Efficiency is inversely proportional to the time taken to complete a work. If the ratio of efficiency is a:b, the ratio of time taken is b:a.

Work and Wages

Wages are distributed in the ratio of the actual work done by each person, which is equivalent to the ratio of their efficiencies if they work for the same duration.

Combined Work Formula

If A takes 'a' days and B takes 'b' days, together they take (a × b) ÷ (a + b) days.

100

Ratio of length and breadth of the rectangle is 3:1. Perimeter of the rectangle is [x + 20] m and  the area of the rectangle is 192 m2. Find the value of x?

  1. ((a))

    35

  2. ((b))

    36

  3. ((c))

    40

  4. ((d))

    42

  5. ((e))

    44

Show Answer
Answer: ((e))

44

Shortcut Trick

Area = 3k × 1k = 192 ⇒ 3k2 = 192 ⇒ k2 = 64 ⇒ k = 8

Length = 24 m, Breadth = 8 m

Perimeter = 2(24 + 8) = 64 m

x + 20 = 64 ⇒ x = 44

∴ The correct answer is 44.

Alternate Method

Given: Ratio of Length (L) and Breadth (B) = 3 : 1

Formula Used: Area = L × B; Perimeter = 2(L + B)

⇒ Let L = 3k and B = k

⇒ Area = 3k × k = 192

⇒ 3k2 = 192

⇒ k2 = 64 ⇒ k = 8 m

⇒ L = 3 × 8 = 24 m; B = 1 × 8 = 8 m

⇒ Perimeter = 2(24 + 8) = 2(32) = 64 m

⇒ Given Perimeter = x + 20

⇒ x + 20 = 64

⇒ x = 64 − 20 = 44

∴ The correct answer is 44.

Additional Information

Properties of Rectangle

Opposite sides are equal and parallel. Each internal angle is 90°. Diagonals are equal and bisect each other.

Diagonal Formula

The length of the diagonal (d) of a rectangle is given by d = √(L2 + B2).

Area and Perimeter of Square

For a square with side 'a', Area = a2 and Perimeter = 4a.

Attempt this paper under real exam conditions

Timed interface, section switching, instant scoring, and question-by-question analytics — free.

Start Timed Attempt