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RRB Clerk Prelims Memory Based Paper (Held On: 6 Dec 2025 Shift 2) (Previous Year Paper)

Held in 2025

80 questions45 minutes

With answers

Free

Paper last updated: 15 October 2026

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Reasoning (40 questions)

Directions: Read the information and answer the given questions.

Seven boxes, namely, P, Q, R, S, T, U, and V, are stacked vertically, where position 1 is the bottom and position 7 is the top.

Box Q is placed below box T. Box P is placed immediately above box R. Box S is placed immediately above box U. The box just below box S is placed three positions below box V. Exactly two boxes are placed between box R and box S. Box U occupies an even prime-numbered position.

Question 1

Based on Passage: View directions & passage

Which among the following box is placed at the bottom-most position?

AOption (a)
V
BOption (b)
U
COption (c)
Q
DOption (d)
T
EOption (e)
R

View answer & explanation

Correct answer

Why this answer is correct

Given: Seven boxes, namely, P, Q, R, S, T, U, and V, are stacked vertically, where position 1 is the bottom and position 7 is the top.

Box U occupies an even prime-numbered position.

Box no.	Boxes
7
6
5
4
3
2	U
1

2. Box S is placed immediately above box U.

Box no.	Boxes
7
6
5
4
3	S
2	U
1

3. Exactly two boxes are placed between box R and box S.

Box no.	Boxes
7
6	R
5
4
3	S
2	U
1

Box P is placed immediately above box R.

Box no.	Boxes
7	P
6	R
5
4
3	S
2	U
1

The box just below box S is placed three positions below box V.

Box no.	Boxes
7	P
6	R
5	V
4
3	S
2	U
1

Box Q is placed below box T.

This is our final arrangement,

Box no.	Boxes
7	P
6	R
5	V
4	T
3	S
2	U
1	Q

Hence, the correct answer is Q.

Question 2

Based on Passage: View directions & passage

How many boxes are placed between box T and box V?

AOption (a)
Same as boxes kept below V
BOption (b)
Same as boxes between S and U
COption (c)
Same as boxes between T and R
DOption (d)
Same as boxes kept above Q
EOption (e)
None of these

View answer & explanation

Correct answer

Same as boxes between S and U

Why this answer is correct

Given: Seven boxes, namely, P, Q, R, S, T, U, and V, are stacked vertically, where position 1 is the bottom and position 7 is the top.

1. Box U occupies an even prime-numbered position.

Box no.	Boxes
7
6
5
4
3
2	U
1

2. Box S is placed immediately above box U.

Box no.	Boxes
7
6
5
4
3	S
2	U
1

3. Exactly two boxes are placed between box R and box S.

Box no.	Boxes
7
6	R
5
4
3	S
2	U
1

Box P is placed immediately above box R.

Box no.	Boxes
7	P
6	R
5
4
3	S
2	U
1

The box just below box S is placed three positions below box V.

Box no.	Boxes
7	P
6	R
5	V
4
3	S
2	U
1

Box Q is placed below box T.

This is our final arrangement,

Box no.	Boxes
7	P
6	R
5	V
4	T
3	S
2	U
1	Q

Hence, the correct answer is Same as boxes between S and U.

Question 3

Based on Passage: View directions & passage

Which of the following statements regarding box P is true?

AOption (a)
Box T is placed two boxes below box P.
BOption (b)
Two boxes are placed between P and U.
COption (c)
Box Q is placed above P.
DOption (d)
P is placed in an odd-numbered position.
EOption (e)
All are true.

View answer & explanation

Correct answer

P is placed in an odd-numbered position.

Why this answer is correct

Given: Seven boxes, namely, P, Q, R, S, T, U, and V, are stacked vertically, where position 1 is the bottom and position 7 is the top.

1. Box U occupies an even prime-numbered position.

Box no.	Boxes
7
6
5
4
3
2	U
1

2. Box S is placed immediately above box U.

Box no.	Boxes
7
6
5
4
3	S
2	U
1

3. Exactly two boxes are placed between box R and box S.

Box no.	Boxes
7
6	R
5
4
3	S
2	U
1

Box P is placed immediately above box R.

Box no.	Boxes
7	P
6	R
5
4
3	S
2	U
1

The box just below box S is placed three positions below box V.

Box no.	Boxes
7	P
6	R
5	V
4
3	S
2	U
1

Box Q is placed below box T.

This is our final arrangement,

Box no.	Boxes
7	P
6	R
5	V
4	T
3	S
2	U
1	Q

Hence, the correct answer is P is placed in an odd-numbered position.

Question 4

Based on Passage: View directions & passage

Four of the following five form a group based on a certain pattern. Which one does NOT belong?

AOption (a)
S
BOption (b)
Q
COption (c)
P
DOption (d)
R
EOption (e)
V

View answer & explanation

Correct answer

Why this answer is correct

Given: Seven boxes, namely, P, Q, R, S, T, U, and V, are stacked vertically, where position 1 is the bottom and position 7 is the top.

1. Box U occupies an even prime-numbered position.

Box no.	Boxes
7
6
5
4
3
2	U
1

2. Box S is placed immediately above box U.

Box no.	Boxes
7
6
5
4
3	S
2	U
1

3. Exactly two boxes are placed between box R and box S.

Box no.	Boxes
7
6	R
5
4
3	S
2	U
1

Box P is placed immediately above box R.

Box no.	Boxes
7	P
6	R
5
4
3	S
2	U
1

The box just below box S is placed three positions below box V.

Box no.	Boxes
7	P
6	R
5	V
4
3	S
2	U
1

Box Q is placed below box T.

This is our final arrangement,

Box no.	Boxes
7	P
6	R
5	V
4	T
3	S
2	U
1	Q

Except for R, all others are placed in an odd-numbered position.

Hence, the correct answer is R.

Question 5

Based on Passage: View directions & passage

What is the position of box U with respect to box R?

AOption (a)
Three boxes below
BOption (b)
Immediately below
COption (c)
Two boxes above
DOption (d)
Two boxes below
EOption (e)
Four boxes below

View answer & explanation

Correct answer

Four boxes below

Why this answer is correct

Given: Seven boxes, namely, P, Q, R, S, T, U, and V, are stacked vertically, where position 1 is the bottom and position 7 is the top.

1. Box U occupies an even prime-numbered position.

Box no.	Boxes
7
6
5
4
3
2	U
1

2. Box S is placed immediately above box U.

Box no.	Boxes
7
6
5
4
3	S
2	U
1

3. Exactly two boxes are placed between box R and box S.

Box no.	Boxes
7
6	R
5
4
3	S
2	U
1

Box P is placed immediately above box R.

Box no.	Boxes
7	P
6	R
5
4
3	S
2	U
1

The box just below box S is placed three positions below box V.

Box no.	Boxes
7	P
6	R
5	V
4
3	S
2	U
1

Box Q is placed below box T.

This is our final arrangement,

Box no.	Boxes
7	P
6	R
5	V
4	T
3	S
2	U
1	Q

Hence, the correct answer is Four boxes below.

Question 6

How many pairs of letters are there in the word 'COVALENT" which have as many letters between them as in the English alphabetical series (both in backward and inward direction)?

AOption (a)
One
BOption (b)
Three
COption (c)
None
DOption (d)
Two
EOption (e)
More than three

View answer & explanation

Correct answer

Two

Why this answer is correct

Given word: COVALENT.

Forward pair: LN

Backward pair: LO

Thus, there are two such pairs of letters in the word "COVALENT" which have as many letters between them as in the English alphabetical series (both in backward and forward directions).

Hence, the correct answer is two.

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

A certain number of persons sit on a linear row facing towards north direction. Q sits four places away from K. Two persons sit between S and M who sits to the right of S. Three persons sit between R and F. R sits three places away from V who sits at the one of the end position. One person sits between F and M who sits to the left of F. S sits third to the right of Q. The number of persons sit to the left of Q is two less than that of to the right of F. K and S do not sit adjacent to each other.

Question 7

Based on Passage: View directions & passage

How many persons sit between K and M?

AOption (a)
Four persons
BOption (b)
Six persons
COption (c)
Eight persons
DOption (d)
Five persons
EOption (e)
Nine persons

View answer & explanation

Correct answer

Nine persons

Why this answer is correct

Given: A certain number of persons sit on a linear row facing towards north direction.

R sits three places away from V who sits at the one of the end position.
Three persons sit between R and F.
One person sits between F and M who sits to the left of F.
Two persons sit between S and M who sits to the right of S.
S sits third to the right of Q. Therefore, case 1 is eliminated.
The number of persons sit to the left of Q is two less than that of to the right of F.
Q sits four places away from K.
K and S do not sit adjacent to each other. Hence, the final arrangement is as follows

Hence, nine persons sit between K and M.

Question 8

Based on Passage: View directions & passage

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

I. K sits to the right of Q.

II. Prime number of persons sit to the left of Q.

III. S sits exactly between M and Q.

AOption (a)
Only I and III
BOption (b)
Only II and III
COption (c)
Only I and II
DOption (d)
All of these
EOption (e)
Only I

View answer & explanation

Correct answer

Only II and III

Why this answer is correct

Given: A certain number of persons sit on a linear row facing towards north direction.

R sits three places away from V who sits at the one of the end position.
Three persons sit between R and F.
One person sits between F and M who sits to the left of F.
Two persons sit between S and M who sits to the right of S.
S sits third to the right of Q. Therefore, case 1 is eliminated.
The number of persons sit to the left of Q is two less than that of to the right of F.
Q sits four places away from K.
K and S do not sit adjacent to each other. Hence, the final arrangement is as follows

Since, K sits to the left of Q not to the right. Therefore, statement I is incorrect.

Five persons which is a prime number sit to the left of Q. Therefore, statement II is correct.

S sits exactly between M and Q. Therefore, statement III is correct.

Hence, the correct answer is only II and III.

Question 9

Based on Passage: View directions & passage

What is the position of F with respect to S?

AOption (a)
Second to the left
BOption (b)
Second to the right
COption (c)
Fifth to the right
DOption (d)
Third to the left
EOption (e)
Immediate right

View answer & explanation

Correct answer

Fifth to the right

Why this answer is correct

Given: A certain number of persons sit on a linear row facing towards north direction.

R sits three places away from V who sits at the one of the end position.
Three persons sit between R and F.
One person sits between F and M who sits to the left of F.
Two persons sit between S and M who sits to the right of S.
S sits third to the right of Q. Therefore, case 1 is eliminated.
The number of persons sit to the left of Q is two less than that of to the right of F.
Q sits four places away from K.
K and S do not sit adjacent to each other. Hence, the final arrangement is as follows

Hence, F sits fifth to the right of S.

Question 10

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

Statement:

All whatsapp is facebook.

All facebook is instagram.

Only a few instagram is twitter.

Conclusion:

I. No twitter is facebook.

II. Some twitter is facebook.

AOption (a)
Only I follows
BOption (b)
Only II follows
COption (c)
Either I or II follows
DOption (d)
Neither I nor II follows
EOption (e)
Both I and II follow

View answer & explanation

Correct answer

Either I or II follows

Why this answer is correct

The least possible diagram for the given statements is as follows

Conclusions:

I. No twitter is facebook. → False (It is possible but not definite)

II. Some twitter is facebook. → False (It is possible but not definite)

Both are complementary conclusions.

Hence, either I or II follows

Question 11

Directions

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

Statements:

No rat is a cat.

Some cats are dogs.

Some dogs are horses.

Conclusions:

I. Some cats are not horses is a possibility.

II. Some dogs are not rats.

AOption (a)
If only conclusion I follows.
BOption (b)
If only conclusion II follows.
COption (c)
If either conclusion I or II follows.
DOption (d)
If neither conclusion I nor II follows.
EOption (e)
If both conclusions I and II follows.

View answer & explanation

Correct answer

If both conclusions I and II follows.

Why this answer is correct

The least possible Venn diagram is as follows,

Conclusions:

I. Some cats are not horses is a possibility → Possibility is true.

II. Some dogs are not rats → True.

Hence, both conclusions I and II follows.

Question 12

Directions

Statements:

All Gold are Green.

Some Green are Black.

Some Black are White.

Conclusions:

I. Some White are Gold.

II. Some Gold are Black.

AOption (a)
If neither conclusion I nor II follows
BOption (b)
If only conclusion II follows
COption (c)
If either conclusion I or II follows
DOption (d)
If only conclusion I follows
EOption (e)
If both conclusions I and II follows

View answer & explanation

Correct answer

If neither conclusion I nor II follows

Why this answer is correct

The least possible Venn diagram is as follows:

Conclusions:

I. Some White are Gold → False (As there is no direct relation between White and Gold. It is possible but not definite. So, it is false)

II. Some Gold are Black → False (As there is no direct relation between Black and Gold. It is possible but not definite. So, it is false)

Hence, Neither conclusion I nor II follows.

Question 13

Direction: In the question given below statements are followed by some conclusions. You have to take the given statements to be True even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions definitely does not follow from the given statements disregarding commonly known facts.

Statements:

Some Rabbit are not Mouse.

All Mouse are Bird.

No Bird is Nest.

Conclusions:

Some Nest is Mouse.
Some Mouse is Bird.
All Rabbit is Mouse is possible.

AOption (a)
Only 1 and 3
BOption (b)
Only 2
COption (c)
Only 2 and 3
DOption (d)
All of the above
EOption (e)
None of the above

View answer & explanation

Correct answer

Only 1 and 3

Why this answer is correct

Some Nest is Mouse → False (As All Bird is Nest, all part of Bird means Mouse is Nest. So, it is false)
Some Mouse is Bird → True (As All Mouse is Bird → Some Mouse is Bird. So, it is true)
All Rabbit is Mouse is possible → False (Some rabbit are not mouse. So, All Rabbit will not be Mouse. so, it is false)

Hence, Only conclusions 1 and 3 does not follow here.

Direction: Study the following information carefully to answer the given questions:

¥ R 6 # J K 4 @ 5 L 7 * 1 M N $ J H £ G 9 ©$

Question 14

Based on Passage: View directions & passage

Which of the following is the fifth to the left of the ninth element from the left end of the above arrangement?

AOption (a)
BOption (b)
9
COption (c)
%
DOption (d)
E
EOption (e)
None of these

View answer & explanation

Correct answer

Why this answer is correct

Given series:

Left side ¥ R 6 # J K 4 @ 5 L 7 * 1 M N $ J H £ G 9 © right side

As, left – left = left

9^th from the left – 5^th from the left = 4^th from the left

Clearly, 4^th from the left is #$.

Question 15

Based on Passage: View directions & passage

How many such symbols are there in the above arrangement each of which are immediately preceded by a number and followed by an alphabet?

AOption (a)
Four
BOption (b)
Two
COption (c)
One
DOption (d)
Three
EOption (e)
More than three

View answer & explanation

Correct answer

One

Why this answer is correct

Given series:

Left Side ¥ R 6 # J K 4 @ 5 L 7 * 1 M N $ J H £ G 9 © Right Side

Symbols which are immediately preceded by a number and followed by an alphabet:

¥ R 6 # J K 4 @ 5 L 7 * 1 M N $ J H £ G 9 ©

Hence, there is 1 symbol which is immediately preceded by number and followed by an alphabet: 6 # J

Question 16

Based on Passage: View directions & passage

After removing the alphabets and symbols arrange the remaining numbers in ascending order. Which of the set of numbers will be correct in the given option?

AOption (a)
97 6 5 4 1
BOption (b)
1 4 5 6 7 9
COption (c)
1 5 4 6 7 9
DOption (d)
1 4 5 7 6 9
EOption (e)
9 7 5 6 4 1

View answer & explanation

Correct answer

1 4 5 6 7 9

Why this answer is correct

Given series:

Left Side ¥ R 6 # J K 4 @ 5 L 7 * 1 M N $ J H £ G 9 © Right Side

After removing the alphabets and symbols will get the series as 6 4 5 7 1 9

The ascending order is 1 4 5 6 7 9. Hence option 2 is correct$.

Question 17

Based on Passage: View directions & passage

If all the symbols in the above arrangement are dropped, then which of the following will be the tenth from the right end?

AOption (a)
2
BOption (b)
8
COption (c)
I
DOption (d)
9
EOption (e)
None of these

View answer & explanation

Correct answer

None of these

Why this answer is correct

Given series:

Left Side ¥ R 6 # J K 4 @ 5 L 7 * 1 M N $ J H £ G 9 © Right Side

1) If all the symbols are dropped:

R 6 J K 4 5 L 7 1 M N J H G 9

10^th letter/number from the right end is 5.

Then, letter/ number that is tenth from right end is ‘5’$.

Question 18

Based on Passage: View directions & passage

How many such symbols are there in the above arrangement each of which is immediately followed by a number and also preceded by a number?

AOption (a)
Four
BOption (b)
One
COption (c)
Two
DOption (d)
Three
EOption (e)
Five

View answer & explanation

Correct answer

Two

Why this answer is correct

Given series:

Left Side ¥ R 6 # J K 4 @ 5 L 7 * 1 M N $ J H £ G 9 © Right Side

Symbols which are immediately followed by a number and preceded by a number:

¥ R 6 # J K 4 @ 5 L 7 * 1 M N $ J H £ G 9 ©.

Hence, there are two sets which are immediately followed by number and preceded by number.

Directions: Read the information and answer the given questions.

Seven individuals, namely, X, P, L, R, M, T, and Y, are planning a vacation to Canada, each traveling in a different month among March, April, May, June, July, August, and September, but not necessarily in this order.

There are two people between P and Y. Two people travel between R and L. R travels in a month that has 31 days. T travels immediately after L. P travels earlier than R. X does not travel before P. X does not travel in a month that has 30 days. Exactly three people travel between R and Y.

Question 19

Based on Passage: View directions & passage

Who among the following travels immediately before X?

AOption (a)
Y
BOption (b)
M
COption (c)
P
DOption (d)
R
EOption (e)
L

View answer & explanation

Correct answer

Why this answer is correct

Given: Seven individuals, namely, X, P, L, R, M, T, and Y, are planning a vacation to Canada, each traveling in a different month among March, April, May, June, July, August, and September, but not necessarily in this order.

R travels in a month that has 31 days.

Here, we have 3 Cases, i.e., Case 1, Case 2, Case 3, and Case 4.

Months	Persons
Case 1	Case 2	Case 3	Case 4
March (31)	R
April (30)
May (31)		R
June (30)
July (31)			R
August (31)				R
September (30)

2. Exactly three people travel between R and Y.

Months	Persons
Case 1	Case 2	Case 3	Case 4
March (31)	R		Y
April (30)				Y
May (31)		R
June (30)
July (31)	Y		R
August (31)				R
September (30)		Y

3. There are two people between P and Y.

Months	Persons
Case 1	Case 2	Case 3	Case 4
March (31)	R		Y
April (30)	P			Y
May (31)		R
June (30)		P	P
July (31)	Y		R	P
August (31)				R
September (30)		Y

P travels earlier than R.

Now, we can eliminate Case 1 and Case 2.

Months	Persons
Case 3	Case 4
March (31)	Y
April (30)		Y
May (31)
June (30)	P
July (31)	R	P
August (31)		R
September (30)

Two people travel between R and L.

Months	Persons
Case 3	Case 4
March (31)	Y
April (30)	L	Y
May (31)		L
June (30)	P
July (31)	R	P
August (31)		R
September (30)

T travels immediately after L.

Months	Persons
Case 3	Case 4
March (31)	Y
April (30)	L	Y
May (31)	T	L
June (30)	P	T
July (31)	R	P
August (31)		R
September (30)

7. X does not travel in a month that has 30 days.

Months	Persons
Case 3	Case 4
March (31)	Y	X
April (30)	L	Y
May (31)	T	L
June (30)	P	T
July (31)	R	P
August (31)	X	R
September (30)

X does not travel before P.

Now, we can eliminate Case 4.

This is our final arrangement,

Months	Persons
Case 3
March (31)	Y
April (30)	L
May (31)	T
June (30)	P
July (31)	R
August (31)	X
September (30)	M

Hence, the correct answer is R.

Question 20

Based on Passage: View directions & passage

Who among the following travels in April?

AOption (a)
L
BOption (b)
R
COption (c)
T
DOption (d)
M
EOption (e)
Y

View answer & explanation

Correct answer

Why this answer is correct

1. R travels in a month that has 31 days.

Here, we have 3 Cases, i.e., Case 1, Case 2, Case 3, and Case 4.

Months	Persons
Case 1	Case 2	Case 3	Case 4
March (31)	R
April (30)
May (31)		R
June (30)
July (31)			R
August (31)				R
September (30)

2. Exactly three people travel between R and Y.

Months	Persons
Case 1	Case 2	Case 3	Case 4
March (31)	R		Y
April (30)				Y
May (31)		R
June (30)
July (31)	Y		R
August (31)				R
September (30)		Y

3. There are two people between P and Y.

Months	Persons
Case 1	Case 2	Case 3	Case 4
March (31)	R		Y
April (30)	P			Y
May (31)		R
June (30)		P	P
July (31)	Y		R	P
August (31)				R
September (30)		Y

P travels earlier than R.

Now, we can eliminate Case 1 and Case 2.

Months	Persons
Case 3	Case 4
March (31)	Y
April (30)		Y
May (31)
June (30)	P
July (31)	R	P
August (31)		R
September (30)

Two people travel between R and L.

Months	Persons
Case 3	Case 4
March (31)	Y
April (30)	L	Y
May (31)		L
June (30)	P
July (31)	R	P
August (31)		R
September (30)

T travels immediately after L.

Months	Persons
Case 3	Case 4
March (31)	Y
April (30)	L	Y
May (31)	T	L
June (30)	P	T
July (31)	R	P
August (31)		R
September (30)

7. X does not travel in a month that has 30 days.

Months	Persons
Case 3	Case 4
March (31)	Y	X
April (30)	L	Y
May (31)	T	L
June (30)	P	T
July (31)	R	P
August (31)	X	R
September (30)

X does not travel before P.

Now, we can eliminate Case 4.

This is our final arrangement,

Months	Persons
Case 3
March (31)	Y
April (30)	L
May (31)	T
June (30)	P
July (31)	R
August (31)	X
September (30)	M

Hence, the correct answer is L.

Question 21

Based on Passage: View directions & passage

In which of the following months does R take the trip?

AOption (a)
June
BOption (b)
July
COption (c)
August
DOption (d)
March
EOption (e)
May

View answer & explanation

Correct answer

July

Why this answer is correct

1. R travels in a month that has 31 days.

Here, we have 3 Cases, i.e., Case 1, Case 2, Case 3, and Case 4.

Months	Persons
Case 1	Case 2	Case 3	Case 4
March (31)	R
April (30)
May (31)		R
June (30)
July (31)			R
August (31)				R
September (30)

2. Exactly three people travel between R and Y.

Months	Persons
Case 1	Case 2	Case 3	Case 4
March (31)	R		Y
April (30)				Y
May (31)		R
June (30)
July (31)	Y		R
August (31)				R
September (30)		Y

3. There are two people between P and Y.

Months	Persons
Case 1	Case 2	Case 3	Case 4
March (31)	R		Y
April (30)	P			Y
May (31)		R
June (30)		P	P
July (31)	Y		R	P
August (31)				R
September (30)		Y

P travels earlier than R.

Now, we can eliminate Case 1 and Case 2.

Months	Persons
Case 3	Case 4
March (31)	Y
April (30)		Y
May (31)
June (30)	P
July (31)	R	P
August (31)		R
September (30)

Two people travel between R and L.

Months	Persons
Case 3	Case 4
March (31)	Y
April (30)	L	Y
May (31)		L
June (30)	P
July (31)	R	P
August (31)		R
September (30)

T travels immediately after L.

Months	Persons
Case 3	Case 4
March (31)	Y
April (30)	L	Y
May (31)	T	L
June (30)	P	T
July (31)	R	P
August (31)		R
September (30)

7. X does not travel in a month that has 30 days.

Months	Persons
Case 3	Case 4
March (31)	Y	X
April (30)	L	Y
May (31)	T	L
June (30)	P	T
July (31)	R	P
August (31)	X	R
September (30)

X does not travel before P.

Now, we can eliminate Case 4.

This is our final arrangement,

Months	Persons
Case 3
March (31)	Y
April (30)	L
May (31)	T
June (30)	P
July (31)	R
August (31)	X
September (30)	M

Hence, the correct answer is July.

Question 22

Based on Passage: View directions & passage

How many individuals travel between M and X?

AOption (a)
One
BOption (b)
Two
COption (c)
None
DOption (d)
Four
EOption (e)
More than four

View answer & explanation

Correct answer

None

Why this answer is correct

1. R travels in a month that has 31 days.

Here, we have 3 Cases, i.e., Case 1, Case 2, Case 3, and Case 4.

Months	Persons
Case 1	Case 2	Case 3	Case 4
March (31)	R
April (30)
May (31)		R
June (30)
July (31)			R
August (31)				R
September (30)

2. Exactly three people travel between R and Y.

Months	Persons
Case 1	Case 2	Case 3	Case 4
March (31)	R		Y
April (30)				Y
May (31)		R
June (30)
July (31)	Y		R
August (31)				R
September (30)		Y

3. There are two people between P and Y.

Months	Persons
Case 1	Case 2	Case 3	Case 4
March (31)	R		Y
April (30)	P			Y
May (31)		R
June (30)		P	P
July (31)	Y		R	P
August (31)				R
September (30)		Y

P travels earlier than R.

Now, we can eliminate Case 1 and Case 2.

Months	Persons
Case 3	Case 4
March (31)	Y
April (30)		Y
May (31)
June (30)	P
July (31)	R	P
August (31)		R
September (30)

Two people travel between R and L.

Months	Persons
Case 3	Case 4
March (31)	Y
April (30)	L	Y
May (31)		L
June (30)	P
July (31)	R	P
August (31)		R
September (30)

T travels immediately after L.

Months	Persons
Case 3	Case 4
March (31)	Y
April (30)	L	Y
May (31)	T	L
June (30)	P	T
July (31)	R	P
August (31)		R
September (30)

7. X does not travel in a month that has 30 days.

Months	Persons
Case 3	Case 4
March (31)	Y	X
April (30)	L	Y
May (31)	T	L
June (30)	P	T
July (31)	R	P
August (31)	X	R
September (30)

X does not travel before P.

Now, we can eliminate Case 4.

This is our final arrangement,

Months	Persons
Case 3
March (31)	Y
April (30)	L
May (31)	T
June (30)	P
July (31)	R
August (31)	X
September (30)	M

Hence, the correct answer is None.

Question 23

Based on Passage: View directions & passage

Four of the following five letters are similar in a certain way. Identify the one that does not belong to the group.

AOption (a)
Y
BOption (b)
X
COption (c)
R
DOption (d)
L
EOption (e)
T

View answer & explanation

Correct answer

Why this answer is correct

1. R travels in a month that has 31 days.

Here, we have 3 Cases, i.e., Case 1, Case 2, Case 3, and Case 4.

Months	Persons
Case 1	Case 2	Case 3	Case 4
March (31)	R
April (30)
May (31)		R
June (30)
July (31)			R
August (31)				R
September (30)

2. Exactly three people travel between R and Y.

Months	Persons
Case 1	Case 2	Case 3	Case 4
March (31)	R		Y
April (30)				Y
May (31)		R
June (30)
July (31)	Y		R
August (31)				R
September (30)		Y

3. There are two people between P and Y.

Months	Persons
Case 1	Case 2	Case 3	Case 4
March (31)	R		Y
April (30)	P			Y
May (31)		R
June (30)		P	P
July (31)	Y		R	P
August (31)				R
September (30)		Y

P travels earlier than R.

Now, we can eliminate Case 1 and Case 2.

Months	Persons
Case 3	Case 4
March (31)	Y
April (30)		Y
May (31)
June (30)	P
July (31)	R	P
August (31)		R
September (30)

Two people travel between R and L.

Months	Persons
Case 3	Case 4
March (31)	Y
April (30)	L	Y
May (31)		L
June (30)	P
July (31)	R	P
August (31)		R
September (30)

T travels immediately after L.

Months	Persons
Case 3	Case 4
March (31)	Y
April (30)	L	Y
May (31)	T	L
June (30)	P	T
July (31)	R	P
August (31)		R
September (30)

7. X does not travel in a month that has 30 days.

Months	Persons
Case 3	Case 4
March (31)	Y	X
April (30)	L	Y
May (31)	T	L
June (30)	P	T
July (31)	R	P
August (31)	X	R
September (30)

X does not travel before P.

Now, we can eliminate Case 4.

This is our final arrangement,

Months	Persons
Case 3
March (31)	Y
April (30)	L
May (31)	T
June (30)	P
July (31)	R
August (31)	X
September (30)	M

Except for L, all others travel in a 31-day month.

Hence, the correct answer is L.

Question 24

Directions

In the question, relationship between different elements is shown in the statements. The statements are followed by two conclusions.

Statement:

R ≤ T ≤ S = P < U > W ≥ X > Y

Conclusions:

I) T = P

II) U > R

III) S > Y

AOption (a)
Only (I)
BOption (b)
Only (II)
COption (c)
Only (III)
DOption (d)
Both (I) and (II)
EOption (e)
Both (II) and (III)

View answer & explanation

Correct answer

Only (II)

Why this answer is correct

Statement: R ≤ T ≤ S = P < U > W ≥ X > Y

Let us check each conclusion one by one.

I) T = P But T ≤ P → False

II) U > R → True

III) S > Y → No relation between S and Y can be established.

Hence, only conclusion II follows.

Question 25

Directions

In the following question, relationship between different elements is shown in the statement. The statement is followed by conclusions, give answer.

Statements:

R ≥ P = O > U ≤ M = B

Conclusions:

I. B ≥ O

II. R > M

III. P = B

AOption (a)
Only conclusion I is true
BOption (b)
Only conclusion III is true
COption (c)
Either conclusion I or II is true
DOption (d)
All are true
EOption (e)
None is true

View answer & explanation

Correct answer

None is true

Why this answer is correct

Statements:

R ≥ P = O > U ≤ M = B

Conclusions:

I. B ≥ O → O > U and U ≤ B → Relation between B and O is not clear. Hence false.

II. R > M →R > U and U ≤ M→ Relation between R and M is not clear. Hence false.

III. P = B → P > U and U ≤ B → Relation between P and B is not clear. Hence false.

Hence none of the given conclusions are true.

Question 26

Directions

In the following question, relationship between different elements is shown in the statements. These statements are followed by two conclusions.

Statements:

P ≥ M > T > A = C > S

Conclusions:

P > C
T < S

AOption (a)
Only conclusion I follows
BOption (b)
Only conclusion II follows
COption (c)
Either conclusion I or II follows
DOption (d)
Neither conclusion I nor II follows
EOption (e)
Both conclusions I and II follow

View answer & explanation

Correct answer

Only conclusion I follows

Why this answer is correct

Conclusion:

P > C → P > T and T > C → P > C

T < S → T > C and C > S → T > S

Hence, only conclusions I follow.

Directions: The following questions are based on the three digits five numbers given below.

545 644 784 527 898

Question 27

Based on Passage: View directions & passage

What will be the number obtained if 2^nd digit of the largest number is multiplied with 3^rddigit of the smallest number?

AOption (a)
64
BOption (b)
57
COption (c)
63
DOption (d)
54
EOption (e)
44

View answer & explanation

Correct answer

Why this answer is correct

Given series: 545 644 784 527 898

Largest no is in the series: 898

Smallest no is in the series: 527

2^nd digit of largest no: 9

3^rd digit of smallest no: 7

After multiplying this: 9*7 = 63

Question 28

Based on Passage: View directions & passage

If in each number 1^st and 3^rd digits are interchanged, then how many even numbers are there?

AOption (a)
1
BOption (b)
2
COption (c)
3
DOption (d)
4
EOption (e)
5

View answer & explanation

Correct answer

Why this answer is correct

Given series: 545 644 784 527 898

Interchanging the 1^st and 3^rd digits: 545 446 487 725 898

hence 2 even number, which came from 644, 898

Question 29

Based on Passage: View directions & passage

If 2 is subtracted from the 2^nd digit of each number and then the positions of the 1^st and the 3^rd digit are interchanged, which of the following will be the lowest number?

AOption (a)
545
BOption (b)
527
COption (c)
898
DOption (d)
784
EOption (e)
644

View answer & explanation

Correct answer

644

Why this answer is correct

Given series: 545 644 784 527 898

Subtracting 2 from the 2^nd digit: 525 624 764 507 878

interchanging the 1^st and the 3^rd digit: 525 426 467 705 878

So 426 is the lowest number, which came from 644.

Question 30

Based on Passage: View directions & passage

If 4 is added to the 1^st digit of each number and then the positions of the 2^nd and the 3^rd digits are interchanged, which of the following will be the highest number?

AOption (a)
545
BOption (b)
527
COption (c)
898
DOption (d)
784
EOption (e)
644

View answer & explanation

Correct answer

898

Why this answer is correct

Given series: 545 644 784 527 898

Adding 4 to the 1^st digit: 945 1044 1184 927 1298

interchanging the 2^nd and the 3^rd digit: 954 1404 1814 972 1928

So, 1928 is highest number which came from 898.

Question 31

Based on Passage: View directions & passage

If the 1^st and 3^rd digit of each of the number are multiplied then the resultant of which of the following numbers will be divisible by 5?

AOption (a)
644
BOption (b)
545 and 527
COption (c)
527 and 898
DOption (d)
545
EOption (e)
644 and 784

View answer & explanation

Correct answer

545 and 527

Why this answer is correct

Given series: 545 644 784 527 898

on multiplying 1^st and last digits:

545: 5*5 = 25

644: 6*4 = 24

784: 7*4 = 28

527: 5*7 = 35

898: 8*8 = 64

here 35 and 25 are only divisible by 5.

Hence answer is 527 and 545.

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

Seven persons A, B, C, D, E, F and G sit around a circular table and facing towards the centre but not necessarily in same order. C is not a neighbour of E. G sits three places away from A. Two persons sit between B and E. F is a neighbour of both C and B. D sits third to the right of C. A and B do not sit adjacent to each other.

Question 32

Based on Passage: View directions & passage

Who among the following person sits third to the left of E?

AOption (a)
G
BOption (b)
B
COption (c)
C
DOption (d)
F
EOption (e)
A

View answer & explanation

Correct answer

Why this answer is correct

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

Two persons sit between B and E.
F is a neighbour of both C and B.
C is not a neighbour of E.
D sits third to the right of C.
G sits three places away from A. Therefore, case 1 is eliminated.
A and B do not sit adjacent to each other. Hence, the final arrangement is as follows

Hence, F sits third to the left of E.

Question 33

Based on Passage: View directions & passage

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

I. B sits second to the right of D.

II. C sits immediate right to F.

III. A sits second to the left of D.

AOption (a)
Only I and II
BOption (b)
Only I and III
COption (c)
All of these
DOption (d)
Only II and III
EOption (e)
None of these

View answer & explanation

Correct answer

None of these

Why this answer is correct

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

Two persons sit between B and E.
F is a neighbour of both C and B.
C is not a neighbour of E.
D sits third to the right of C.
G sits three places away from A. Therefore, case 1 is eliminated.
A and B do not sit adjacent to each other. Hence, the final arrangement is as follows

Since, B sits second to the right of D. Therefore, statement I is correct.

C sits immediate right to F. Therefore, statement II is correct.

A sits second to the left of D. Therefore, statement III is correct.

Therefore, the correct answer is none of these.

Question 34

Based on Passage: View directions & passage

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

AOption (a)
FD
BOption (b)
DC
COption (c)
GC
DOption (d)
BE
EOption (e)
AF

View answer & explanation

Correct answer

Why this answer is correct

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

Two persons sit between B and E.
F is a neighbour of both C and B.
C is not a neighbour of E.
D sits third to the right of C.
G sits three places away from A. Therefore, case 1 is eliminated.
A and B do not sit adjacent to each other. Hence, the final arrangement is as follows

Since, each pair represents number of persons sitting between them is either two or three but between A and F either one or four persons sit.

Hence, the odd one is AF.

Question 35

Based on Passage: View directions & passage

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

I. A sits immediate right to C.

II. E sits second to the left of A.

III. G is a immediate neighbour of D and C.

AOption (a)
Only I and II
BOption (b)
Only II
COption (c)
Only II and III
DOption (d)
Only I
EOption (e)
Only I and III

View answer & explanation

Correct answer

Only I

Why this answer is correct

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

Two persons sit between B and E.
F is a neighbour of both C and B.
C is not a neighbour of E.
D sits third to the right of C.
G sits three places away from A. Therefore, case 1 is eliminated.
A and B do not sit adjacent to each other. Hence, the final arrangement is as follows

Since, A sits immediate right to C. Therefore, statement I is correct.

E sits immediate right to A not second left. Therefore, statement II is incorrect.

III. G is a immediate neighbour of D and B not C. Therefore, statement III is incorrect.

Hence, the correct answer is only I.

Question 36

Based on Passage: View directions & passage

Who among the following person sits third to the right of the one who sits second to the right of B?

AOption (a)
C
BOption (b)
G
COption (c)
A
DOption (d)
D
EOption (e)
E

View answer & explanation

Correct answer

Why this answer is correct

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

Two persons sit between B and E.
F is a neighbour of both C and B.
C is not a neighbour of E.
D sits third to the right of C.
G sits three places away from A. Therefore, case 1 is eliminated.
A and B do not sit adjacent to each other. Hence, the final arrangement is as follows

Since, C sits second to the right of B and D sits third to the right of C.

Hence, the correct answer is D.

Direction: Read the following information carefully and answer the question that follow:

P, S, T, W, X, Y, and Z are family members related to each other. X is the father of Y, who is the son of Z. Z is the daughter of S, who is the husband of P. X is the brother of T. W is the mother of T. W has only one daughter.

Question 37

Based on Passage: View directions & passage

Who is the father-in-law of X?

AOption (a)
P
BOption (b)
W
COption (c)
Y
DOption (d)
S
EOption (e)
T

View answer & explanation

Correct answer

Why this answer is correct

From the given information,

X is the father of Y, who is the son of Z. (means Y is the son of Z).
Z is the daughter of S, who is the husband of P. (means S is the husband of P).
X is the brother of T.
W is the mother of T. W has only one daughter. (Means T is the sister of X).

S is the father-in-law of X.

Question 38

Based on Passage: View directions & passage

How T related to Z?

AOption (a)
Sister
BOption (b)
Grandmother
COption (c)
Sister-in-law
DOption (d)
Mother
EOption (e)
Aunty

View answer & explanation

Correct answer

Sister-in-law

Why this answer is correct

From the given information,

X is the father of Y, who is the son of Z. (means Y is the son of Z).
Z is the daughter of S, who is the husband of P. (means S is the husband of P).
X is the brother of T.
W is the mother of T. W has only one daughter. (Means T is the sister of X).

Hence, T is the sister-in-law of Z.

Question 39

Based on Passage: View directions & passage

How is S related to Y?

AOption (a)
Brother
BOption (b)
Grandfather
COption (c)
Father-in-law
DOption (d)
Father
EOption (e)
Uncle

View answer & explanation

Correct answer

Grandfather

Why this answer is correct

From the given information,

X is the father of Y, who is the son of Z. (means Y is the son of Z).
Z is the daughter of S, who is the husband of P. (means S is the husband of P).
X is the brother of T.
W is the mother of T. W has only one daughter. (Means T is the sister of X).

Hence, S is the grandfather of Y.

Question 40

If in the number "743625814", the odd digits are added by 1 and even digits are subtracted by 1 then what is the product of second digit from the left end and third digits from the right end?

AOption (a)
6
BOption (b)
24
COption (c)
27
DOption (d)
21
EOption (e)
15

View answer & explanation

Correct answer

Why this answer is correct

Given number: 743625814

Operation: Even digits are subtracted by 1 and odd digits are added by 1

Given number	7	4	3	6	2	5	8	1	4
Operations	+1	-1	+1	-1	-1	+1	-1	+1	-1
Resultant	8	3	4	5	1	6	7	2	3

Since, second digit from from left end is '3' and third digit from the right end is '7'.

Therefore, their product is 7×3 = 21.

Hence, the correct answer is 21.

Numerical Ability (40 questions)

Question 41

What should come in place of the question mark '?' in the following number series?

332, 331, 323, 296, 232, ?

AOption (a)
103
BOption (b)
101
COption (c)
105
DOption (d)
107
EOption (e)
108

View answer & explanation

Correct answer

107

Why this answer is correct

The series follows the following pattern:

332 – 1³ = 331

331 – 2³ = 323

323 – 3³ = 296

296 – 4³ = 232

232 – 5³ = 107

∴ The missing term in the series is 107.

Question 42

What should come in place of the question mark '?' in the following number series?

728, 716, 692, ?, 608, 548

AOption (a)
635
BOption (b)
642
COption (c)
656
DOption (d)
649
EOption (e)
663

View answer & explanation

Correct answer

656

Why this answer is correct

The series follows the following pattern:

728 – (12 × 1) = 716

716 – (12 × 2) = 692

692 – (12 × 3) = 656

656 – (12 × 4) = 608

608 – (12 × 5) = 548

∴ The missing term in the series is 656.

Question 43

What should come in place of the question mark '?' in the following number series?

1, 5, 13, 29, ?, 125

AOption (a)
60
BOption (b)
61
COption (c)
62
DOption (d)
63
EOption (e)
64

View answer & explanation

Correct answer

Why this answer is correct

The given series follows the pattern shown below:

1 × 2 + 3 = 5

5 × 2 + 3 = 13

13 × 2 + 3 = 29

29 × 2 + 3 = 61

61 × 2 + 3 = 125

Question 44

What should come in place of the question mark '?' in the following number series?

3, 7, ?, 27, -37, 63

AOption (a)
12
BOption (b)
-18
COption (c)
15
DOption (d)
-9
EOption (e)
-12

View answer & explanation

Correct answer

-9

Why this answer is correct

The given series follows the pattern shown below:

3 + 2² = 7

7 – 4² = –9

–9 + 6² = 27

27 – 8² = –37

–37 + 10² = 63

Question 45

What should come in place of the question mark '?' in the following number series?

25, 30, 40, 55, 75, ?

AOption (a)
90
BOption (b)
100
COption (c)
110
DOption (d)
120
EOption (e)
105

View answer & explanation

Correct answer

100

Why this answer is correct

The series follows the following pattern:

25 + 5 = 30

30 + 10 = 40

40 + 15 = 55

55 + 20 = 75

75 + 25 = 100

Question 46

A man marks an article 25% above the cost price of an article. if he gives 20% discount on markup price what will be his loss or gain percentage?

AOption (a)
5% gain.
BOption (b)
5% loss.
COption (c)
10% loss.
DOption (d)
no gain no loss.
EOption (e)
10% gain.

View answer & explanation

Correct answer

no gain no loss.

Why this answer is correct

Given:

Discount percentage = 20%

And markup price = 25% above the cost price

Formula used:

Mark up price = cost price × [(100 + markup percentage)/100]

Selling price = markup price × [(100 - discount percentage)/100]

Calculation:

Let the cost price of an article be Rs. x

Markup price = x × [(100 + 25)/100]

⇒ 125x/100

⇒ 1.25x

Selling price = 1.25x × [(100 - 20)/100]

⇒ 1.25x × (80/100)

⇒ 100x/100

⇒ x

We can see the cost price and the selling price of an article are the same ie. equal to Rs. x.

∴ There will be no loss or gain percentage on an article.

Question 47

Train A of length 100 m crosses a platform of length 20 m in 5 sec. It crosses another train B of length 80 m running in opposite direction in 4 sec. Find the speed of train B.

AOption (a)
26 m/s
BOption (b)
25 m/s
COption (c)
21 m/s
DOption (d)
30 m/s
EOption (e)
None of these

View answer & explanation

Correct answer

21 m/s

Why this answer is correct

GIVEN :

Train A of length 100 m crosses a platform of length 20 m in 5 sec.

It crosses another train B of length 80 m running in opposite direction in 4 sec.

CALCULATION :

1^st case

Total distance = 100 + 20 = 120 m

Speed of train A = 120/5 = 24 m/s

2^nd case

Total distance = 100 + 80 = 180 m

Let speed of train B = x m/s

Relative speed = (24 + x)m/s

According to question,

24 + x = 180/4

⇒ 24 + x = 45

⇒ x = 21 m/s

∴ Speed of train B = 21 m/s

Study the following information carefully and answer the questions given below:

The table given below shows the percentage of marks in a Mock-test obtained by five friends in three different subjects.

Subjects (Maximum marks)	English (100)	Quantitative Aptitude (125)	Reasoning Ability (175)
Aman	63%	88%	76%
Bharat	78%	64%	68%
Chetan	52%	72%	92%
Dheeraj	84%	56%	52%
Elvish	92%	48%	84%

Question 48

Based on Passage: View directions & passage

What is the difference between highest and lowest Reasoning scores?

AOption (a)
60
BOption (b)
90
COption (c)
70
DOption (d)
55
EOption (e)
65

View answer & explanation

Correct answer

Why this answer is correct

Calculations:

⇒ Chetan = 92 × 175 ÷ 100 = 161

⇒ Dheeraj = 52 × 175 ÷ 100 = 91

Highest = 161

Lowest = 91

⇒ Difference = 161 − 91 = 70

∴ Difference between highest and lowest Reasoning marks = 70.

Question 49

Based on Passage: View directions & passage

If Chetan improves their English score by 25% of their previous English score, what will be the approximate percentage change in their total marks across all three subjects?

AOption (a)
4%
BOption (b)
8%
COption (c)
10%
DOption (d)
12%
EOption (e)
6%

View answer & explanation

Correct answer

Why this answer is correct

Calculations:

⇒ Increase in English = 25% × 52

⇒ = 0.25 × 52 = 13

⇒ New English = 52 + 13 = 65

Original total = 52 + 90 + 161 = 303

New total = 65 + 90 + 161 = 316

⇒ Increase = 316 − 303 = 13

⇒ % change = 13 ÷ 303 × 100

⇒ 4.29% ≈ 4%

∴ Approximate percentage change in total marks = 4%.

Question 50

Based on Passage: View directions & passage

If a person qualifies only if they score at least 60% in each subject, how many friends qualify?

AOption (a)
1
BOption (b)
0
COption (c)
3
DOption (d)
2
EOption (e)
4

View answer & explanation

Correct answer

Why this answer is correct

Calculations:

⇒ Aman: 63, 88, 76 → Qualifies

⇒ Bharat: 78, 64, 68 → Qualifies

⇒ Chetan: 52 (fails), 72, 92 → Not qualify

⇒ Dheeraj: 84, 56 (fails), 52 (fails) → Not qualify

⇒ Elvish: 92, 48 (fails), 84 → Not qualify

⇒ Total qualifiers = 2

∴ Number of friends who qualify = 2.

Question 51

Based on Passage: View directions & passage

What is the average marks scored by person Chetan across all three subjects?

AOption (a)
104
BOption (b)
101
COption (c)
108
DOption (d)
112
EOption (e)
124
5Option (5)
None of these

View answer & explanation

Correct answer

101

Why this answer is correct

Calculations:

⇒ Total = 52 + 90 + 161 = 303

⇒ Average = 303 ÷ 3

⇒ Average = 101

∴ Average marks of Chetan = 101.

Question 52

Based on Passage: View directions & passage

Who scored the highest total marks across all three subjects?

AOption (a)
Aman
BOption (b)
Bharat
COption (c)
Elvish
DOption (d)
Dheeraj
EOption (e)
Chetan

View answer & explanation

Correct answer

Aman

Why this answer is correct

Calculations:

Aman:

⇒ English = 63 × 100 ÷ 100 = 63

⇒ Quant = 88 × 125 ÷ 100 = 110

⇒ Reasoning = 76 × 175 ÷ 100 = 133

Total = 63 + 110 + 133 = 306

Bharat:

⇒ English = 78

⇒ Quant = 64 × 125 ÷ 100 = 80

⇒ Reasoning = 68 × 175 ÷ 100 = 119

Total = 78 + 80 + 119 = 277

Chetan:

⇒ English = 52

⇒ Quant = 72 × 125 ÷ 100 = 90

⇒ Reasoning = 92 × 175 ÷ 100 = 161

Total = 52 + 90 + 161 = 303

Dheeraj:

⇒ English = 84

⇒ Quant = 56 × 125 ÷ 100 = 70

⇒ Reasoning = 52 × 175 ÷ 100 = 91

Total = 84 + 70 + 91 = 245

Elvish:

⇒ English = 92

⇒ Quant = 48 × 125 ÷ 100 = 60

⇒ Reasoning = 84 × 175 ÷ 100 = 147

Total = 92 + 60 + 147 = 299

∴ Aman scored the highest total marks = 306.

Question 53

In a company, three persons A, B, and C share their profit in the ratio 4 : 7 : 3 respectively. B retired from the company and, A & C decided to share the profit in the ratio 4 : 3. Calculate the ratio of their gain.

AOption (a)
3 : 4
BOption (b)
4 : 3
COption (c)
3 : 5
DOption (d)
5 : 3
EOption (e)
4 : 5

View answer & explanation

Correct answer

4 : 3

Why this answer is correct

Given:

A, B, and C share their profit in the ratio 4 : 7 : 3 respectively

B retired from the company and, A & C decided to share the profit in the ratio 4 : 3

Calculation:

The initial profit share of A = 4/(4 + 7 + 3) = 4/14 unit

The initial profit share of C = 3/(4 + 7 + 3) = 3/14 unit

After B retired,

The profit share of A = 4/(4 + 3) = 4/7

The profit share of C = 3/(4 + 3) = 3/7

Gain of A = (4/7) - (4/14) = 28/98

Gain of C = (3/7) - (3/14) = 21/98

The respective ratio of gain of A and C = (28/98) : (21/98) = 4 : 3

∴ The correct answer is option 2

Question 54

A batsman scored 90 runs in his 12^th match. Due to this, his average run is increased by 2. Find the initial average runs scored by him.

AOption (a)
65
BOption (b)
63
COption (c)
68
DOption (d)
66
EOption (e)
70

View answer & explanation

Correct answer

Why this answer is correct

Given:

Runs in 12^th match = 90

Calculation:

Let the average till 11^th match or initial average = x

According to the question

⇒ 11x + 90 = (x + 2) × 12

∴ x = 66

Question 55

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

(8536 – √2209) × 0.3 = ?

AOption (a)
2556.7
BOption (b)
2456.7
COption (c)
2546.7
DOption (d)
2645.7
EOption (e)
2654.7

View answer & explanation

Correct answer

2546.7

Why this answer is correct

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

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

Step -2- Any mathematical 'Of' or 'Exponent' must be solved next,

Step -3- Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step -4- Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is,

(8536 – √2209) × 0.3 = ?

⇒ ? = (8536 – 47) × 0.3

⇒ ? = (8489) × 0.3

∴ ? = 2546.7

Question 56

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

81% of 2300 – 34% of 596 = ?

AOption (a)
1060.63
BOption (b)
1060.36
COption (c)
1660.36
DOption (d)
1006.63
EOption (e)
1600.36

View answer & explanation

Correct answer

1660.36

Why this answer is correct

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

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

Step-2- Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3- Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4- Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is,

81% of 2300 – 34% of 596 = ?

⇒ ? = (81/100 × 2300) – (34/100 × 596)

⇒ ? = (81 × 2300) – (34 × 5.96)

⇒ ? = 1863 – 202.64

∴ ? = 1660.36

Question 57

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

13.6 – 1.6 – 1 + 1.3 × 2 = ?

AOption (a)
13.6
BOption (b)
12.6
COption (c)
14.6
DOption (d)
11.6
EOption (e)
15.6

View answer & explanation

Correct answer

13.6

Why this answer is correct

Concept used:

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

13.6 – 1.6 – 1 + 1.3 × 2 = ?

⇒ 13.6 – 1.6 – 1 + 2.6 = ?

⇒ 13.6 – 1.6 + 1.6 = ?

⇒ 13.6 + 0 = ?

∴ ? = 13.6

Question 58

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

350% of ? ÷ 50 + 278 = 1825

AOption (a)
22200
BOption (b)
22150
COption (c)
44100
DOption (d)
22100
EOption (e)
None of these

View answer & explanation

Correct answer

22100

Why this answer is correct

Follow BODMAS rules to solve the equation

Step -1: The part of the equation containing 'Brackets' must be solved first, and in the bracket,

Step -2: Any mathematical 'Of' or 'Exponent' must be solved next,

Step -3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are solved

Step -4: At last, the part of the equation that contains 'Addition' and 'Subtraction' should be solved.

⇒ 350% of ? ÷ 50 + 278 = 1825

⇒ [350 × (?)] / (100 × 50) + 278 = 1825

⇒ 7/100 × ? = 1547

⇒ ? = (1547 × 100) /7

⇒ ? = 221 × 100 = 22100

∴ ? = 22100

Question 59

What will come in place of ? in the following equation?

[(140)² ÷ 35 × 32] ÷ 8 = 7 × ?

AOption (a)
32
BOption (b)
320
COption (c)
160
DOption (d)
80
EOption (e)
None of these

View answer & explanation

Correct answer

320

Why this answer is correct

Follow these BODMAS rules to solve the question

⇒ (140 × 140 × 32) / (35 × 8) = 7 × ?

⇒ 16 × 140 = 7 × ?

⇒ ? = (16 × 140)/7

⇒ ? = 320

Question 60

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

46 × 1536 ÷ (2√2304) = (?)³ + √49

AOption (a)
7
BOption (b)
8
COption (c)
9
DOption (d)
6
EOption (e)
10

View answer & explanation

Correct answer

Why this answer is correct

Concept used:

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

Calculation:

46 × 1536 ÷ (2√2304) = (?)³ + √49

⇒ 46 × 1536 ÷ (2 × 48) = (?)³ + 7

⇒ 46 × 1536 ÷ 96 = (?)³ + 7

⇒ 46 × 16 – 7 = ?³

⇒ ?³= 729

⇒ ? = 9

∴ The value of ? is 9

Question 61

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

[(368)² ÷ (23)² × 15] ÷ 12 = ?

AOption (a)
400
BOption (b)
320
COption (c)
360
DOption (d)
340
EOption (e)
280

View answer & explanation

Correct answer

320

Why this answer is correct

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

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

Step-2- Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3- Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4- Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is,

[(368)² ÷ (23)² × 15] ÷ 12 = ?

⇒ [(368 ÷ 23)² × 15] ÷ 12 = ?

Applying BODMAS Rule;

⇒ [16² × 15] ÷ 12 = ?

⇒ [256 × 15] ÷ 12 = ?

⇒ 3840 ÷ 12 = ?

∴ ? = 320

Question 62

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

28 ÷ (√144 × 17 ÷ 51) + (?)² = 848

AOption (a)
30
BOption (b)
31
COption (c)
28
DOption (d)
29
EOption (e)
27

View answer & explanation

Correct answer

Why this answer is correct

Concept Used:

Follow the BODMAS rule as given in the below table:

Calculation:

28 ÷ (√144 × 17 ÷ 51) + (?)2 = 848

Applying BODMAS Rule;

⇒ 28 ÷ [12 × (1/3)] + (?)2 = 848

⇒ 28 ÷ 4 + (?)2 = 848

⇒ 7 + (?)2 = 848

⇒ (?)2 = 848 - 7 = 841

⇒ (?) = √841 = 29

∴ ? = 29

Question 63

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

(12/5)² × (37.5 × 56) ÷ (984/41) = ?

AOption (a)
500
BOption (b)
502
COption (c)
498
DOption (d)
496
EOption (e)
504

View answer & explanation

Correct answer

504

Why this answer is correct

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

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

Step-2- Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3- Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4- Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is,

(12/5)² × (37.5 × 56) ÷ (984/41) = ?

Applying BODMAS Rule;

⇒ (144/25) × 2100 ÷ 24 = ?

⇒ (144/25) × 87.5 = ?

∴ ? = 504

Question 64

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

435 ÷ 7.5 – 40% of 130 = ?

AOption (a)
7
BOption (b)
10
COption (c)
12
DOption (d)
9
EOption (e)
6

View answer & explanation

Correct answer

Why this answer is correct

Follow the BODMAS rule to solve the question,

435 ÷ 7.5 – 40% of 130 = ?

Any mathematical 'Of' or 'Exponent' must be solved,

⇒ 435 ÷7.5 – [(40/100) × 130] = ?

The parts of the equation that contain 'Division' and 'Multiplication' are calculated,

⇒ (435 ÷ 7.5) – 52 = ?

The parts of the equation that contain 'Addition' and 'Subtraction' should be calculated,

⇒ 58 – 52 = ?

∴ ? = 6

Question 65

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

858 ÷ 39 × 74 – 1500 = (2)^?

AOption (a)
2
BOption (b)
5
COption (c)
7
DOption (d)
9
EOption (e)
11

View answer & explanation

Correct answer

Why this answer is correct

Given:

858 ÷ 39 × 74 – 1500 = (2)?

Concept Used:

Calculation:

858 ÷ 39 × 74 – 1500 = (2)^?

By using the BODMAS rule,

⇒ (858 ÷ 39) × 74 – 1500 = 2^?

⇒ (22 × 74) – 1500 = 2^?

⇒ 1628 – 1500 = 2^?

⇒ 128 = 2^?

⇒ 2⁷ = 2^?

∴ ? = 7

Question 66

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

120 ÷ 5 × (3)³ ÷ 9 = (?) ÷ [8 ÷ (?)]

AOption (a)
576
BOption (b)
24
COption (c)
8
DOption (d)
256
EOption (e)
216

View answer & explanation

Correct answer

Why this answer is correct

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

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

Step-2: Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

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

120 ÷ 5 × (3)³ ÷ 9 = (?) ÷ [8 ÷ (?)]

⇒ 120 ÷ 5 × (3)3 ÷ 9 = (?) ÷ (8/?)

⇒ 120 ÷ 5 × (3)³ ÷ 9 = (?) × (?)/8

⇒ (?)² = 24 × 3 × 8

⇒ (?) = 24

Question 67

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

999 ÷ 3 – 165 = 75 + 111 - ?

AOption (a)
20
BOption (b)
28
COption (c)
18
DOption (d)
22
EOption (e)
24

View answer & explanation

Correct answer

Why this answer is correct

Follow BODMAS (Brackets, Of, Division, Multiplication, Addition, Subtraction) rule to solve this question, as per the order given below,

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

Step-2- Then any mathematical 'Of' or 'Exponent' must be solved,

Step-3- Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4- Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is,

⇒ 999 ÷ 3 – 165 = 75 + 111 - ?

⇒ 333 – 165 = 186 - ?

⇒ 168 = 186 - ?

⇒ ? = 186 – 168

⇒ ? = 18

Question 68

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

67% of √676 ÷ 0.01 = ? + 577

AOption (a)
1163
BOption (b)
1267
COption (c)
1165
DOption (d)
1168
EOption (e)
1264

View answer & explanation

Correct answer

1165

Why this answer is correct

$\sqrt {676} \times \frac{{67}}{{100}} \div \frac{1}{{100}} = ;? + ;577$

$\Rightarrow 26 \times \frac{{67}}{{100}} \times 100 = ;?; + ;577$

⇒ 1742 = ? + 577

⇒ ? = 1742 – 577

⇒ ? = 1165

Question 69

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

(?)²÷ 4 × 5 = 180

AOption (a)
10
BOption (b)
14
COption (c)
8
DOption (d)
12
EOption (e)
16

View answer & explanation

Correct answer

Why this answer is correct

Given

(?)2 ÷ 4 × 5 = 180

⇒ (?)2 ÷ 4 = 36

⇒ (?)² = 36 × 4

∴ ? = 6 × 2 = 12.

Question 70

In a milk tank, the quantity of milk is 40% more than water. If 31 litres of water is added to this mixture, then the final ratio of milk and water is 5 : 8. Find the initial quantity of milk.

AOption (a)
35 litres
BOption (b)
45 litres
COption (c)
30 litres
DOption (d)
40 litres
EOption (e)
48 litres

View answer & explanation

Correct answer

35 litres

Why this answer is correct

GIVEN:

In a milk tank the quantity of milk is 40% more than water

31 litres of water is added to this mixture

The final ratio of milk and water = 5 : 8

CALCULATION:

Initial ratio of milk and water = 7 : 5

Let the initial quantity of milk and water be 7x litres and 5x litres respectively.

Final ratio of milk and water = 5 : 8

According to question,

(5x + 31)/7x = 8/5

⇒ 56x = 25x + 155

⇒ 31x = 155

⇒ x = 5

⇒ 7x = (7 × 5) litres

∴ Initial quantity of milk = 35 litres

Question 71

If the radius of a sphere increases by 5 cm then the surface area increases by 726 cm². What was the initial radius of the sphere?

AOption (a)
3.175 cm
BOption (b)
3.275 cm
COption (c)
3.575 cm
DOption (d)
3.725 cm
EOption (e)
3.475 cm

View answer & explanation

Correct answer

3.275 cm

Why this answer is correct

Given:

If the radius of a sphere increases by 5 cm then the surface area increases by 726 cm²

Formula Used:

The surface area of a sphere = 4π R²

Where, R = radius of the sphere

Calculation:

Let, the initial radius of the sphere = R cm

After the radius is increased by 5 cm, the new surface area becomes = 4π (R + 5) cm²

According to the question,

4π [(R + 5)² - R²] = 726

⇒ 4π [R² + 10R + 25 - R²] = 726

⇒ 4 × (22/7) × [10R + 25] = 726

⇒ 4/7 × [10R + 25] = 33

⇒ 40R + 100 = 231

⇒ R = 131/40 = 3.275 cm

∴ The initial radius of the sphere was 3.275 cm

Study the following information carefully and answer the questions given below:

Bar graph given below shows the number of online and offline orders (in 100s) received by a food restraint in four different days (Monday, Tuesday, Wednesday and Thursday).

Question 72

Based on Passage: View directions & passage

If difference between number of online received on Thursday and number of offline orders received on Tuesday is 'k', then find the value of (k + 5) .

AOption (a)
34
BOption (b)
36
COption (c)
35
DOption (d)
33
EOption (e)
32

View answer & explanation

Correct answer

Why this answer is correct

Calculation:

k = |Online (Thu) − Offline (Tue)|

Required value = k + 5

⇒ k = |25 − 54|

⇒ k = 29

⇒ k + 5 = 29 + 5

⇒ = 34

∴ The value of (k + 5) = 34.

Question 73

Based on Passage: View directions & passage

Number of offline orders received on Tuesday is what percent more than offline orders received on Wednesday?

AOption (a)
40%
BOption (b)
25%
COption (c)
20%
DOption (d)
30%
EOption (e)
35%

View answer & explanation

Correct answer

35%

Why this answer is correct

Calculations:

⇒ Difference = 54 − 40 = 14

⇒ % more = 14 ÷ 40 × 100

⇒ % more = 35%

∴ Offline orders on Tuesday are 35% more than offline orders on Wednesday.

Question 74

Based on Passage: View directions & passage

Number of offline orders received on Sunday is 40% more than the offline orders received on Thursday. If ratio of number of offline orders to that of online orders received on Sunday is 6:7. Find the number of online orders received on Sunday.

AOption (a)
36
BOption (b)
49
COption (c)
56
DOption (d)
30
EOption (e)
63

View answer & explanation

Correct answer

Why this answer is correct

Calculations:

⇒ Offline (Sunday) = 30 × 1.40

⇒ Offline (Sunday) = 42

⇒ 6 parts = 42

⇒ 1 part = 42 ÷ 6 = 7

⇒ Online (Sunday) = 7 parts = 7 × 7 = 49

∴ Number of online orders received on Sunday = 49.

Question 75

Based on Passage: View directions & passage

Find the ratio of number of online orders received on Monday and Tuesday together to the number of offline orders received on Monday and Wednesday together.

AOption (a)
18:17
BOption (b)
17:16
COption (c)
13:12
DOption (d)
17:11
EOption (e)
19:15

View answer & explanation

Correct answer

17:11

Why this answer is correct

Calculations:

⇒ Online total = 64 + 72 = 136

⇒ Offline total = 48 + 40 = 88

⇒ Ratio = 136 : 88

⇒ Divide by 8 → 17 : 11

∴ Required ratio = 17 : 11.

Question 76

Based on Passage: View directions & passage

Find the average number of online orders received by the restraint in all four days.

AOption (a)
4040
BOption (b)
5275
COption (c)
4060
DOption (d)
5140
EOption (e)
4120

View answer & explanation

Correct answer

5275

Why this answer is correct

Calculations:

⇒ Sum = 64 + 72 + 50 + 25

⇒ Sum = 211

⇒ Average = 211 ÷ 4

⇒ Average = 52.75

∴ Average online orders = 52.75 (in hundreds).

Question 77

If the upstream speed of a boat is 60% of its downstream speed when travelling the same distance then find the ratio between speed of stream to boat in still water?

AOption (a)
1 : 4
BOption (b)
1 : 1
COption (c)
3 : 4
DOption (d)
1 : 3
EOption (e)
None of these

View answer & explanation

Correct answer

1 : 4

Why this answer is correct

GIVEN:

U_s = Upstream speed of a boat

D_s= Downstream speed of a boat

⇒ U_s : D_s = 3x : 5x ----(1)

FORMULA USED:

Downstream speed = (Speed of a boat in still water + Speed of current)/2
Upstream speed = (Speed of a boat in still water - Speed of current)/2

ASSUMPTION:

Let the speed of boat in still water and the speed of stream be (u) and (v) km/hr

CALCULATION:

⇒ u + v = 5x ----(2)

⇒ u - v = 3x ----(3)

Solving the above equations we get,

⇒ Speed of stream = v = 1x

⇒ Speed of boat in still water = u = 4x

⇒ v : u = 1 : 4

Question 78

An amount becomes Rs. 1800 after 2 years and Rs. 1890 after 3 years while interest is compounded annually. Find the principal amount.(Approximate)

AOption (a)
Rs. 1600
BOption (b)
Rs. 1500
COption (c)
Rs. 1633
DOption (d)
Rs. 1522
EOption (e)
Rs. 1700

View answer & explanation

Correct answer

Rs. 1633

Why this answer is correct

Given:

An amount becomes Rs. 1800 after 2 years and Rs. 1890 after 3 years at CI

Concept Used:

Simple Interest (SI) = (P × R × T)/100

Compound Interest (CI) = P × (1 + R/100)T - P

Where, P = principal amount, R = rate of interest, and T = time duration

Calculation:

Interest earned on Rs. 1800 in (3 - 2) = 1 year is = 1890 - 1800 = Rs. 90

Here, P = Rs. 1800, SI (as it is for 1 year) = Rs. 90, and T = 1 year

So, R = (90 × 100)/1800 = 5%

Let, the actual principal amount = A

According to the question,

⇒ A × (1 + 5/100)² = 1800

⇒ A × 441/400 = 1800

⇒ A = (1800 × 400)/441 ≈ Rs. 1633

∴ The correct answer is option 3

Important PointsIf time duration (T) = 1 year, and the rate of interest is per annum, then the interest earned for SI or, CI will be equal. That is why the formula of SI is used to calculate the Rate (R), although the question is about CI.

Question 79

Ram's age is 37.5% of Shiv's age. The ratio of their ages 6 years hence will be 9 : 19. Find the sum of their present ages.

AOption (a)
44 years
BOption (b)
42 years
COption (c)
40 years
DOption (d)
46 years
EOption (e)
48 years

View answer & explanation

Correct answer

44 years

Why this answer is correct

GIVEN:

Ram's age = 37.5% of Shiv's age

Ram : Shiv (6 years hence) = 9 : 19

EXPLANATION:

37.5% = 3/8

Let Ram's age be 3x and Shiv's age be 8x.

A.T.Q

(3x + 6)/(8x + 6) = 9/19

57x + 114 = 72x + 54

15 x = 60

x = 4

Sum = 3x + 8x = 11x

11x = 11 × 4 = 44 yrs

∴ The sum is 44 years.

Question 80

Two Pipes X and Y can fill a cistern in 10 hrs and 15 hrs respectively. If two pipes are working simultaneously then how much time will the tank be filled?

AOption (a)
12 hr
BOption (b)
10 hr
COption (c)
6 hr
DOption (d)
14 hr
EOption (e)
None of these

View answer & explanation

Correct answer

6 hr

Why this answer is correct

Given:

Pipe X fills tank in 10 hours

Pipe Y fills tank in 15 hours

Formula used:

Work = LCM of time taken

Efficiency = Work ÷ Time

Time taken together = Total work ÷ (Efficiency of X + Efficiency of Y)

Calculations:

⇒ LCM of 10 and 15 = 30 units

⇒ X’s 1 hour work = 30 ÷ 10 = 3 units

⇒ Y’s 1 hour work = 30 ÷ 15 = 2 units

⇒ Total 1 hour work = 3 + 2 = 5 units

⇒ Time taken together = 30 ÷ 5 = 6 hours

∴ Both pipes together will fill the cistern in 6 hours.

80 questions in the full paper