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IBPS RRB Clerk Prelims 2018 Question Paper with Answers & Explanations

All 80 questions from this paper, each with the correct answer and a step-by-step explanation. Tap an option to check yourself, or open the answer.

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  • Numerical Ability4050%
  • Reasoning4050%
1Reasoning
Read the following information carefully and answer the questions given below. Six persons J, P, Q, R, V, Z are sitting in a row. Some of them are facing north while some of them are facing south. J sits second from one of the extreme end of the row. P sits third to the right of J. R is not an immediate neighbor of P and Z. Both the immediate neighbors of V faces opposite direction. Both the Immediate neighbors of Z faces same direction. V sits second to the left of P. Q sits to the right of R. R faces north. Q faces same direction as Z. Four of the following five are alike in a certain way, and so form a group. Which of the following does not belong to the group?
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Answer: (D) V, Q

Explanation

Based on the given clues, J sits at position 2 facing North, and P sits third to its right at position 5 facing North. V sits second to the left of P at position 3 facing North. R sits at position 1 facing North. Z sits at position 4 facing South, and Q sits at position 6 facing South. The persons facing North are R, J, V, and P, while Z and Q face South. In the pair V and Q, one person faces North and the other faces South, whereas in all other pairs both persons face North.

2Reasoning
Read the following information carefully and answer the questions given below. Six persons J, P, Q, R, V, Z are sitting in a row. Some of them are facing north while some of them are facing south. J sits second from one of the extreme end of the row. P sits third to the right of J. R is not an immediate neighbor of P and Z. Both the immediate neighbors of V faces opposite direction. Both the Immediate neighbors of Z faces same direction. V sits second to the left of P. Q sits to the right of R. R faces north. Q faces same direction as Z. What is the position of Q with respect to Z?
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Answer: (A) Second to the left

Explanation

The seating arrangement from position 1 to 6 is R (North), J (North), V (North), Z (South), P (North), and Q (South). Z is located at position 4 facing South. When a person faces South, position 6 lies to their left. Since Q is at position 6, which is two places away from position 4, Q is second to the left of Z.

3Reasoning
Read the following information carefully and answer the questions given below. Six persons J, P, Q, R, V, Z are sitting in a row. Some of them are facing north while some of them are facing south. J sits second from one of the extreme end of the row. P sits third to the right of J. R is not an immediate neighbor of P and Z. Both the immediate neighbors of V faces opposite direction. Both the Immediate neighbors of Z faces same direction. V sits second to the left of P. Q sits to the right of R. R faces north. Q faces same direction as Z. Who amongst the following sits exactly between Z and J?
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Answer: (E) V

Explanation

In the linear seating arrangement from position 1 to 6, J is seated at position 2 and Z is seated at position 4. The person seated at position 3, directly between positions 2 and 4, is V.

4Reasoning
Read the following information carefully and answer the questions given below. Six persons J, P, Q, R, V, Z are sitting in a row. Some of them are facing north while some of them are facing south. J sits second from one of the extreme end of the row. P sits third to the right of J. R is not an immediate neighbor of P and Z. Both the immediate neighbors of V faces opposite direction. Both the Immediate neighbors of Z faces same direction. V sits second to the left of P. Q sits to the right of R. R faces north. Q faces same direction as Z. How many persons in the given arrangement are facing North?
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Answer: (B) Four

Explanation

From the step-by-step arrangement, R at position 1 faces North, J at position 2 faces North, V at position 3 faces North, and P at position 5 faces North. The remaining two persons, Z at position 4 and Q at position 6, face South. Therefore, exactly four persons face North.

5Reasoning
Read the following information carefully and answer the questions given below. Six persons J, P, Q, R, V, Z are sitting in a row. Some of them are facing north while some of them are facing south. J sits second from one of the extreme end of the row. P sits third to the right of J. R is not an immediate neighbor of P and Z. Both the immediate neighbors of V faces opposite direction. Both the Immediate neighbors of Z faces same direction. V sits second to the left of P. Q sits to the right of R. R faces north. Q faces same direction as Z. Who is sitting 4th to the right of Q?
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Answer: (D) J

Explanation

Q is situated at position 6 and faces South. For a person facing South, right corresponds to decreasing position numbers. Moving 4 places to the right from position 6 leads to position 2, which is occupied by J.

6Reasoning
Some statements are given followed by two conclusions. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the following conclusions follow from the given statements: Statements: No symbol is letter. All expression are letter. Some symbols are word. Conclusions: I. No word is letter. II. Some symbols being expression is possibility.
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Answer: (D) Neither I nor II follows

Explanation

Since no symbol is a letter and all expressions are letters, the set of expressions is completely contained within the set of letters, which is entirely disjoint from symbols. Thus, it is impossible for any symbol to be an expression, making conclusion II false. For conclusion I, some symbols are words, but the remaining part of words can overlap with letters, so it is not definite that no word is a letter.

7Reasoning
Some statements are given followed by two conclusions. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the following conclusions follow from the given statements: Statements: Some logic are answers. All keys are answers. Conclusions: I. All keys are logic. II. No keys are logic.
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Answer: (D) Neither I nor II follows

Explanation

The premise states that all keys are answers and some logic are answers. This allows keys and logic to either overlap partially, overlap completely, or be disjoint. Neither All keys are logic nor No keys are logic is definitely true. Furthermore, All and No do not form a complementary pair in standard categorical logic, so neither conclusion follows.

8Reasoning
Some statements are given followed by two conclusions. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the following conclusions follow from the given statements: Statement: All numbers are digits. Some numbers are points. Some points are marks. Conclusions: I. Some points are digits. II. All marks being numbers is a possibility.
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Answer: (E) Both I and II follow

Explanation

Since all numbers are digits and some numbers are points, the elements common to numbers and points must also be digits, which directly implies some points are digits. For conclusion II, since there are no negative statements limiting marks and numbers, a Venn arrangement where all marks lie inside numbers satisfies all given statements, making it a valid possibility.

9Reasoning
Read the following information carefully and answer the questions given below. Seven boxes M, N, O, P, Q, R, S are arranged one above another. Only two boxes are placed above box P. Only one box is placed between box S and P. As many as boxes are placed between box S and Q as between box Q and M. Three boxes are placed between box N and O. N is placed above O. How many total numbers of boxes are placed in between box S and Q?
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Answer: (A) Two

Explanation

From top to bottom, the seven boxes are arranged as position 1 S, position 2 N, position 3 P, position 4 Q, position 5 R, position 6 O, and position 7 M. Box S is at position 1 and box Q is at position 4. The boxes placed between S and Q are N and P, which totals two boxes.

10Reasoning
Read the following information carefully and answer the questions given below. Seven boxes M, N, O, P, Q, R, S are arranged one above another. Only two boxes are placed above box P. Only one box is placed between box S and P. As many as boxes are placed between box S and Q as between box Q and M. Three boxes are placed between box N and O. N is placed above O. Which of the following is true regarding Box N?
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Answer: (D) Only one box is placed above box N

Explanation

In the top-to-bottom order of boxes (S, N, P, Q, R, O, M), Box N occupies position 2. Since position 1 is occupied by Box S, there is exactly one box placed above Box N.

11Reasoning
Read the following information carefully and answer the questions given below. Seven boxes M, N, O, P, Q, R, S are arranged one above another. Only two boxes are placed above box P. Only one box is placed between box S and P. As many as boxes are placed between box S and Q as between box Q and M. Three boxes are placed between box N and O. N is placed above O. Which box is placed at top?
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Answer: (A) S

Explanation

Placing P at position 3, S at position 1, N at position 2, Q at position 4, R at position 5, O at position 6, and M at position 7 satisfies all given conditions. Thus, box S is at the top.

12Reasoning
Read the following information carefully and answer the questions given below. Seven boxes M, N, O, P, Q, R, S are arranged one above another. Only two boxes are placed above box P. Only one box is placed between box S and P. As many as boxes are placed between box S and Q as between box Q and M. Three boxes are placed between box N and O. N is placed above O. Which box is placed immediately above box Q?
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Answer: (B) P

Explanation

The arrangement of boxes from top to bottom is S (1), N (2), P (3), Q (4), R (5), O (6), M (7). Box P is at position 3, which is directly above box Q at position 4.

13Reasoning
Read the following information carefully and answer the questions given below. Seven boxes M, N, O, P, Q, R, S are arranged one above another. Only two boxes are placed above box P. Only one box is placed between box S and P. As many as boxes are placed between box S and Q as between box Q and M. Three boxes are placed between box N and O. N is placed above O. How many boxes are placed in between R and M?
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Answer: (B) One

Explanation

In the stack of boxes from top to bottom (S, N, P, Q, R, O, M), box R is at position 5 and box M is at position 7. Only box O occupies position 6 between them, making the count equal to one.

14Reasoning
Answer these questions based on the following information. In a certain code: "arrange things in order" is coded as - "po gb ik mn" "order for new things" is coded as - "po gb fc bv" "new places to order" is coded as - "gb cq bv ra" "places in unknown country" is coded as - " de ra lf ik" What will be the code for "order"?
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Answer: (A) gb

Explanation

Comparing the statements "arrange things in order" (po gb ik mn), "order for new things" (po gb fc bv), and "new places to order" (gb cq bv ra), the word "order" is present in all three, and "gb" is the only code common to all three.

15Reasoning
Answer these questions based on the following information. In a certain code: "arrange things in order" is coded as - "po gb ik mn" "order for new things" is coded as - "po gb fc bv" "new places to order" is coded as - "gb cq bv ra" "places in unknown country" is coded as - " de ra lf ik" What may be the code for "things to vanish"?
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Answer: (A) po cq hx

Explanation

Comparing statement 1 and statement 2 gives "things" = "po". Comparing statement 3 with other statements gives "to" = "cq". Since "vanish" is not in the original statements, it must be represented by a code not present in the given system, which makes "po cq hx" the correct combination.

16Reasoning
Answer these questions based on the following information. In a certain code: "arrange things in order" is coded as - "po gb ik mn" "order for new things" is coded as - "po gb fc bv" "new places to order" is coded as - "gb cq bv ra" "places in unknown country" is coded as - " de ra lf ik" What will be the code for "arrange"?
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Answer: (B) mn

Explanation

From statement 1, "order" = "gb", "things" = "po", and "in" = "ik" (by comparing with statement 4). The remaining word "arrange" in statement 1 corresponds to the remaining code "mn".

17Reasoning
Answer these questions based on the following information. In a certain code: "arrange things in order" is coded as - "po gb ik mn" "order for new things" is coded as - "po gb fc bv" "new places to order" is coded as - "gb cq bv ra" "places in unknown country" is coded as - " de ra lf ik" What may be the code for "in country"?
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Answer: (D) either (a) or (b)

Explanation

Comparing statements 1 and 4 gives "in" = "ik". In statement 4, after identifying "places" = "ra" and "in" = "ik", the remaining words "unknown" and "country" share the remaining codes "de" and "lf". Therefore, "in country" can be coded as either "lf ik" or "de ik".

18Reasoning
Answer these questions based on the following information. In a certain code: "arrange things in order" is coded as - "po gb ik mn" "order for new things" is coded as - "po gb fc bv" "new places to order" is coded as - "gb cq bv ra" "places in unknown country" is coded as - " de ra lf ik" "bv" is the code for?
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Answer: (B) new

Explanation

Comparing "order for new things" (po gb fc bv) and "new places to order" (gb cq bv ra), the common words are "order" and "new", with common codes "gb" and "bv". Since "order" = "gb", "new" must be "bv".

19Reasoning
Read the following information carefully and answer the questions given below. Six persons A, C, Q, R, T, Y were born in six different months January, April, May, August, September, December of a year. Three persons were born in between A and Y. A was born before Y. No one was born in between C and A. Two persons were born in between C and R. T was born before Q. Who among the following was born in May?
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Answer: (D) T

Explanation

Arranging the given months chronologically (January, April, May, August, September, December), placing A in April and Y in December leaves three months between them. Setting C in January puts R in August. Satisfying T before Q places T in May and Q in September. Thus, T was born in May.

20Reasoning
Read the following information carefully and answer the questions given below. Six persons A, C, Q, R, T, Y were born in six different months January, April, May, August, September, December of a year. Three persons were born in between A and Y. A was born before Y. No one was born in between C and A. Two persons were born in between C and R. T was born before Q. How many persons were born between A and Q?
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Answer: (D) Two

Explanation

The chronological birth order of the six persons is C (January), A (April), T (May), R (August), Q (September), and Y (December). Between A in April and Q in September, exactly two persons were born: T in May and R in August.

21Reasoning
Read the following information carefully and answer the questions given below. Six persons A, C, Q, R, T, Y were born in six different months January, April, May, August, September, December of a year. Three persons were born in between A and Y. A was born before Y. No one was born in between C and A. Two persons were born in between C and R. T was born before Q. How many persons were born before R?
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Answer: (B) Three

Explanation

Arranging the six persons in chronological order of their birth months: January: C April: A May: T August: R September: Q December: Y

R was born in August, which is the 4th month in the given list. Therefore, three persons (C, A, and T) were born before R.

22Reasoning
Read the following information carefully and answer the questions given below. Six persons A, C, Q, R, T, Y were born in six different months January, April, May, August, September, December of a year. Three persons were born in between A and Y. A was born before Y. No one was born in between C and A. Two persons were born in between C and R. T was born before Q. Who among the following is the oldest?
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Answer: (A) C

Explanation

Arranging the birth months chronologically yields the sequence: C in January, A in April, T in May, R in August, Q in September, and Y in December. Since C was born in the earliest month (January), C is the oldest.

23Reasoning
Read the following information carefully and answer the questions given below. Six persons A, C, Q, R, T, Y were born in six different months January, April, May, August, September, December of a year. Three persons were born in between A and Y. A was born before Y. No one was born in between C and A. Two persons were born in between C and R. T was born before Q. Which of the following is not true regarding Y?
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Answer: (C) Q is born immediately after Y

Explanation

The chronological order of birth is C (January), A (April), T (May), R (August), Q (September), and Y (December). Q was born in September, which is immediately before Y (December) in this sequence, so stating that Q was born immediately after Y is false.

24Reasoning
A family consists of five members A, P, R, T, H. P is wife of A. R is the daughter of A. R has only one brother T. H is daughter- in- law of P. How is H related to R?
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Answer: (B) sister-in-law

Explanation

A and P are husband and wife. R is their daughter and T is R's only brother, meaning T is the son of A and P. H is the daughter-in-law of P, which means H is married to P's son T. Since H is the wife of R's brother, H is R's sister-in-law.

25Reasoning
If the digits of the number "46752983" are arranged in increasing order form left to right within the number, then how many digits will remain on the same position after the applied operation?
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Answer: (A) Two

Explanation

Original number: 4 6 7 5 2 9 8 3 Sorted digits: 2 3 4 5 6 7 8 9

Comparing positions: Position 4 has digit 5 in both the original and sorted numbers. Position 7 has digit 8 in both the original and sorted numbers. Thus, 2 digits remain in the same position.

26Reasoning
How many meaningful words can be made by using letters 'A', 'E', 'L' and 'T', keeping L as the first letter of the word?
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Answer: (B) Two

Explanation

Using the letters A, E, L, and T with L fixed as the first letter, the possible meaningful English words formed are LATE and LEAT.

27Reasoning
Read the following information carefully and answer the questions given below. Point E is 15m east of point B. Point G is 20m north of point E. Point K is 10m east of point G. Point M is 30m south of point K. Point P is 20m west of point M. Point L is 10m north of point P. If Point V is 10m east of point S and Point S is 10m north of point L, then what will be the distance between point E and V?
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Answer: (A) 10m

Explanation

Taking point B as origin (0, 0): Point E = (15, 0) Point G = (15, 20) Point K = (25, 20) Point M = (25, -10) Point P = (5, -10) Point L = (5, 0) Point S = 10m north of L = (5, 10) Point V = 10m east of S = (15, 10)

Distance between E(15, 0) and V(15, 10) = √((15 - 15)² + (10 - 0)²) = 10m.

28Reasoning
Read the following information carefully and answer the questions given below. Point E is 15m east of point B. Point G is 20m north of point E. Point K is 10m east of point G. Point M is 30m south of point K. Point P is 20m west of point M. Point L is 10m north of point P. What is the total distance between point B and L?
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Answer: (D) 5m

Explanation

Taking point B as the reference origin (0, 0), the position coordinates of the points are derived step-by-step:

Point E is 15m east of B, giving E = (15, 0). Point G is 20m north of E, giving G = (15, 20). Point K is 10m east of G, giving K = (25, 20). Point M is 30m south of K, giving M = (25, -10). Point P is 20m west of M, giving P = (5, -10). Point L is 10m north of P, giving L = (5, 0).

Since point B is at (0, 0) and point L is at (5, 0), both points lie on the same horizontal line. The distance between B and L is simply 5 - 0 = 5m.

29Reasoning
Read the following information carefully and answer the questions given below. Point E is 15m east of point B. Point G is 20m north of point E. Point K is 10m east of point G. Point M is 30m south of point K. Point P is 20m west of point M. Point L is 10m north of point P. If Point Z is 10m north of point M, then what is the distance between point E and Z?
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Answer: (A) 10m

Explanation

Taking point E as the reference coordinate (15, 0): Point G is 20m north of E, so G = (15, 20). Point K is 10m east of G, so K = (25, 20). Point M is 30m south of K, so M = (25, -10).

Since point Z is located 10m north of point M, its coordinates are (25, -10 + 10) = (25, 0).

Both point E(15, 0) and point Z(25, 0) lie along the same horizontal axis. Therefore, the direct distance between point E and point Z is 25 - 15 = 10m.

30Reasoning
Read the following information carefully and answer the questions given below. Point E is 15m east of point B. Point G is 20m north of point E. Point K is 10m east of point G. Point M is 30m south of point K. Point P is 20m west of point M. Point L is 10m north of point P. Point K is in which direction from point P?
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Answer: (D) North-east

Explanation

Using Cartesian coordinates with B as origin (0, 0): Point P = (5, -10) Point K = (25, 20)

To move from P to K, one must travel +20m in the x-direction (East) and +30m in the y-direction (North). Thus, point K is to the North-East of point P.

31Reasoning
Read the following information carefully and answer the questions given below. Point E is 15m east of point B. Point G is 20m north of point E. Point K is 10m east of point G. Point M is 30m south of point K. Point P is 20m west of point M. Point L is 10m north of point P. Four of the following five are alike in a certain way, and so form a group. Which of the following does not belong to the group?
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Answer: (E) G, B

Explanation

Placing the points on a Cartesian coordinate plane with B at (0, 0) gives E at (15, 0), G at (15, 20), K at (25, 20), M at (25, -10), P at (5, -10), and L at (5, 0). The points in P and L share the same x-coordinate (vertical line), P and M share the same y-coordinate (horizontal line), G and E share the same x-coordinate (vertical line), and L and E share the same y-coordinate (horizontal line). Points G and B differ in both x and y coordinates, forming a diagonal line.

32Reasoning
These questions are based on the following arrangement. Study it carefully and answer the questions below it. 1353459287236527381218498124735 2489824 Which element is exactly midway between the seventh element from the left end and sixteenth from the right end?
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Answer: (B) 2

Explanation

The given sequence contains 38 elements. Counting 7 elements from the left end yields the digit 9 at position 7. Counting 16 elements from the right end corresponds to position 38 - 16 + 1 = 23, which is the digit 4. The position exactly midway between position 7 and position 23 is (7 + 23) / 2 = 15. The element at position 15 in the arrangement is 2.

33Reasoning
These questions are based on the following arrangement. Study it carefully and answer the questions below it. 1353459287236527381218498124735 2489824 How many perfect squares are there to the right of the fourteenth element from the right end?
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Answer: (E) more than four

Explanation

The 14th element from the right end is at position 38 - 14 + 1 = 25 (value 8). The remaining elements to its right from positions 26 to 38 are 1, 2, 4, 7, 3, 5, 2, 4, 8, 9, 8, 2, 4. The single-digit perfect squares in this sequence are 1, 4, 4, 9, and 4, giving a total of 5 perfect squares.

34Reasoning
These questions are based on the following arrangement. Study it carefully and answer the questions below it. 1353459287236527381218498124735 2489824 How many perfect cubes are there in the above arrangement, each of which is immediately preceded by an odd number and immediately followed by an even number?
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Answer: (C) Two

Explanation

Single-digit perfect cubes are 1 and 8. Scanning the sequence for the pattern [Odd Number] [1 or 8] [Even Number] reveals two such occurrences: the 8 at position 22 (preceded by 1 and followed by 4) and the 8 at position 36 (preceded by 9 and followed by 2).

35Reasoning
These questions are based on the following arrangement. Study it carefully and answer the questions below it. 1353459287236527381218498124735 2489824 How many such odd digits are there in the given arrangement, each of which is immediately followed and preceded by an odd number?
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Answer: (D) Three

Explanation

An odd digit immediately preceded and followed by an odd digit corresponds to a sequence of three consecutive odd digits [Odd, Odd, Odd]. Examining the sequence reveals three such instances: the digit 3 at position 2 (flanked by 1 and 5), the digit 5 at position 3 (flanked by 3 and 3), and the digit 3 at position 30 (flanked by 7 and 5).

36Reasoning
These questions are based on the following arrangement. Study it carefully and answer the questions below it. 1353459287236527381218498124735 2489824 Which of the following element is 5ᵗʰ_ to the right of 10ᵗʰ_ from the right end?
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Answer: (B) 8

Explanation

The 10th element from the right end is at position 38 - 10 + 1 = 29 (digit 7). Moving 5 positions to the right leads to position 29 + 5 = 34, which is equivalent to the 5th element from the right end (38 - 5 + 1 = 34). The digit at position 34 is 8.

37Reasoning
Read the following information carefully and answer the questions given below. There are six wallets A, B, C, P, Q and R, each containing different amount of money in it. Wallet B has more money than wallet Q but less than wallet P. Only wallet R has more money than wallet C. Wallet Q does not has the least amount of money. The wallet containing 3ʳᵈ_ highest amount of money has Rs. 3000, which is Rs.1000 more than the wallet which has 2ⁿᵈ_ lowest amount of money. Which of the following wallet has the least amount of money?
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Answer: (A) A

Explanation

Since only R has more money than C, wallet R is 1st and C is 2nd. The remaining wallets P, B, Q must follow the relation P > B > Q. Because wallet Q is not the least, Q must be 5th, forcing A to be 6th. The complete order from highest to lowest is R > C > P > B > Q > A. Thus, wallet A has the least amount of money.

38Reasoning
Read the following information carefully and answer the questions given below. There are six wallets A, B, C, P, Q and R, each containing different amount of money in it. Wallet B has more money than wallet Q but less than wallet P. Only wallet R has more money than wallet C. Wallet Q does not has the least amount of money. The wallet containing 3ʳᵈ_ highest amount of money has Rs. 3000, which is Rs.1000 more than the wallet which has 2ⁿᵈ_ lowest amount of money. What may be the amount of money in wallet C?
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Answer: (C) Rs. 3500

Explanation

The descending order of money in the wallets is R > C > P > B > Q > A. Wallet P is the 3rd highest wallet with Rs. 3000. Since wallet C ranks higher than wallet P, its money must be strictly greater than Rs. 3000. Among the choices, Rs. 3500 is the only value greater than Rs. 3000.

39Reasoning
Read the following information carefully and answer the questions given below. There are six wallets A, B, C, P, Q and R, each containing different amount of money in it. Wallet B has more money than wallet Q but less than wallet P. Only wallet R has more money than wallet C. Wallet Q does not has the least amount of money. The wallet containing 3ʳᵈ_ highest amount of money has Rs. 3000, which is Rs.1000 more than the wallet which has 2ⁿᵈ_ lowest amount of money. What may be the amount of money in wallet B, if it has Rs. 250 less than the wallet P?
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Answer: (B) Rs. 2750

Explanation

The 3rd highest wallet is P, which contains Rs. 3000. If wallet B contains Rs. 250 less than wallet P, the amount in wallet B is 3000 - 250 = Rs. 2750.

40Reasoning
Read the following information carefully and answer the questions given below. There are six wallets A, B, C, P, Q and R, each containing different amount of money in it. Wallet B has more money than wallet Q but less than wallet P. Only wallet R has more money than wallet C. Wallet Q does not has the least amount of money. The wallet containing 3ʳᵈ_ highest amount of money has Rs. 3000, which is Rs.1000 more than the wallet which has 2ⁿᵈ_ lowest amount of money. Which of the following is true regarding wallet P?
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Answer: (C) Wallet P has 3ʳᵈ_ highest amount of money

Explanation

The relative ordering of all six wallets from highest to lowest is R > C > P > B > Q > A. In this arrangement, wallet R is 1st, wallet C is 2nd, and wallet P is 3rd. Therefore, wallet P has the 3rd highest amount of money.

41Numerical Ability
The upstream speed of a boat is 18km / hr which is 500% more than the speed of stream. Find how much distance boat will cover in 3 hours while travelling in downstream.
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Answer: (C) 72km

Explanation

Let the speed of the stream be y km/h. Since the upstream speed is 500% more than the stream speed, upstream speed = y + 5y = 6y = 18 km/h, which gives y = 3 km/h. The speed of the boat in still water x = upstream speed + y = 18 + 3 = 21 km/h. Downstream speed = x + y = 21 + 3 = 24 km/h. Distance covered downstream in 3 hours = 24 × 3 = 72 km.

42Numerical Ability
If A² - B² = 252 and A + B = 42 then find the value of 'B'?
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Answer: (A) 18

Explanation

Using the algebraic identity A² - B² = (A - B)(A + B): 252 = (A - B) × 42 A - B = 252 / 42 = 6 Subtracting (A - B = 6) from (A + B = 42) gives 2B = 36, so B = 18.

43Numerical Ability
A alone can do a work in 40 days. The ratio of time taken by A and B to do the same work is 5:3 . Then, find in how many days both will complete the work together?
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Answer: (D) 15 days

Explanation

Since the ratio of time taken by A and B is 5 : 3 and A takes 40 days, the time taken by B = (3 / 5) × 40 = 24 days. Time taken by both working together = (A × B) / (A + B) = (40 × 24) / (40 + 24) = 960 / 64 = 15 days.

44Numerical Ability
A train having speed of 72km / hr crosses a pole in 18 sec and a platform in 33 sec. Find the length of platform?
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Answer: (B) 300m

Explanation

Speed of the train = 72 km/h = 72 × (5/18) = 20 m/s. Length of the train = speed × time to cross pole = 20 × 18 = 360 m. Total distance covered while crossing the platform = 20 × 33 = 660 m. Length of the platform = 660 - 360 = 300 m.

45Numerical Ability
The circumference of a circle is 66 cm. Find the approximate area of square if the radius of circle is two times of the side of a square.
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Answer: (E) 28 cm²

Explanation

Circumference of circle = 2 × π × r = 66 cm. 2 × (22/7) × r = 66 gives r = (66 × 7) / 44 = 10.5 cm. Side of the square s = r / 2 = 10.5 / 2 = 5.25 cm. Area of the square = s² = (5.25)² = 27.5625 cm² ≈ 28 cm².

46Numerical Ability
What approximate value should come in place of question mark (?) in the following questions? √(1443.98) ÷ 18.98 + 328.1 = ? × 22.01
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Answer: (D) 15

Explanation

Approximating the terms in the expression: √(1443.98) ≈ √1444 = 38 18.98 ≈ 19 328.1 ≈ 328 22.01 ≈ 22 Substituting these values gives: 38 ÷ 19 + 328 = ? × 22 2 + 328 = ? × 22 330 = ? × 22 ? = 15

47Numerical Ability
What approximate value should come in place of question mark (?) in the following questions? 29.98% of 880.001 = ? + 110.9
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Answer: (B) 153

Explanation

Approximating the terms in the expression: 29.98% ≈ 30% 880.001 ≈ 880 110.9 ≈ 111 Calculating the percentage: 30% of 880 = 0.30 × 880 = 264 264 = ? + 111 ? = 264 - 111 = 153

48Numerical Ability
What approximate value should come in place of question mark (?) in the following questions? (?)² +255.93 = 49.932% of 800.112
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Answer: (A) 12

Explanation

Approximating the terms in the expression: 49.932% ≈ 50% 800.112 ≈ 800 255.93 ≈ 256 Calculating 50% of 800 = 400. (? )² + 256 = 400 (? )² = 144 ? = 12

49Numerical Ability
What approximate value should come in place of question mark (?) in the following questions? ³√(1728.01) +? = 256.01
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Answer: (E) 244

Explanation

Approximating the terms in the expression: ∛(1728.01) ≈ ∛1728 = 12 256.01 ≈ 256 12 + ? = 256 ? = 256 - 12 = 244

50Numerical Ability
What approximate value should come in place of question mark (?) in the following questions? 74.91% of ? = (17.932)²
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Answer: (D) 432

Explanation

Approximating the terms in the expression: 74.91% ≈ 75% = 3/4 17.932 ≈ 18 18² = 324 Setting up the equation: (3/4) × ? = 324 ? = 324 × (4/3) = 108 × 4 = 432

51Numerical Ability
Find the wrong number in the given number series questions. 100, 118, 136, 149, 160, 167, 172
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Answer: (D) 118

Explanation

Subtracting consecutive prime numbers starting from 5 in reverse order reveals the correct pattern: 172 - 5 = 167 167 - 7 = 160 160 - 11 = 149 149 - 13 = 136 136 - 17 = 119 119 - 19 = 100 The given term 118 breaks this difference pattern as the difference between 136 and 118 is 18 instead of 17, and the difference between 118 and 100 is 18 instead of 19. Replacing 118 with 119 restores the sequence of prime differences.

52Numerical Ability
Find the wrong number in the given number series questions. 1.5, 2.5, 6, 24, 100, 505, 3036
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Answer: (B) 6

Explanation

The pattern in the series multiplies each consecutive term by an increasing integer and adds the same integer: 1.5 × 1 + 1 = 2.5 2.5 × 2 + 2 = 7 7 × 3 + 3 = 24 24 × 4 + 4 = 100 100 × 5 + 5 = 505 505 × 6 + 6 = 3036 The third number in the series is given as 6, which violates this rule because 2.5 × 2 + 2 = 7. Replacing 6 with 7 makes the entire series consistent.

53Numerical Ability
Find the wrong number in the given number series questions. 160, 80, 80, 120, 240, 600, 900
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Answer: (D) 900

Explanation

The pattern in the series involves multiplying each number by successive increments of 0.5: 160 × 0.5 = 80 80 × 1.0 = 80 80 × 1.5 = 120 120 × 2.0 = 240 240 × 2.5 = 600 600 × 3.0 = 1800 The last term given is 900, which is incorrect because multiplying 600 by 3.0 gives 1800. Therefore, 900 is the wrong term in the series.

54Numerical Ability
Find the wrong number in the given number series questions. 5040, 2520, 840, 210, 42, 8, 1
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Answer: (A) 8

Explanation

The logic of the series involves successive division by natural numbers starting from 2: 5040 ÷ 2 = 2520 2520 ÷ 3 = 840 840 ÷ 4 = 210 210 ÷ 5 = 42 42 ÷ 6 = 7 7 ÷ 7 = 1 The sixth term in the series is given as 8, which is incorrect because dividing 42 by 6 yields 7, and 7 divided by 7 yields 1. Therefore, 8 is the wrong number in the series.

55Numerical Ability
Find the wrong number in the given number series questions. 15, 17, 26, 151, 200, 929, 1050
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Answer: (C) 15

Explanation

The sequence of differences between consecutive terms follows alternating cubes and squares of consecutive odd numbers: 16 + 1³ = 16 + 1 = 17 17 + 3² = 17 + 9 = 26 26 + 5³ = 26 + 125 = 151 151 + 7² = 151 + 49 = 200 200 + 9³ = 200 + 729 = 929 929 + 11² = 929 + 121 = 1050 The first term 15 is incorrect because adding 1³ to 16 yields 17. Replacing 15 with 16 fits the complete series.

56Numerical Ability
There are total five departments in a company. There are total 90 employees in Finance department which is 25% of total employees in the company. 2 / 9 of the total employees of the company are working in HR department. Employees working in Sales department is 25% more than that in HR department. Ratio between employees working in Security and Housing department is 4:5 . Find number of employees working in HR department is what percent more than number of employees working in Security department?
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Answer: (D) 100%

Explanation

Total employees in the company = 90 / 0.25 = 360. HR department employees = (2/9) × 360 = 80. Sales department employees = 80 × 1.25 = 100. Employees in Finance, HR, and Sales combined = 90 + 80 + 100 = 270. Remaining employees in Security and Housing = 360 - 270 = 90. Given the ratio of Security to Housing is 4 : 5, Security department employees = 90 × (4/9) = 40. Percentage by which HR employees exceed Security employees = [(80 - 40) / 40] × 100 = 100%.

57Numerical Ability
There are total five departments in a company. There are total 90 employees in Finance department which is 25% of total employees in the company. 2 / 9 of the total employees of the company are working in HR department. Employees working in Sales department is 25% more than that in HR department. Ratio between employees working in Security and Housing department is 4:5 . Find the average number of employees working in Sales, Finance and Housing department?
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Answer: (C) 80

Explanation

Total employees in the company = 90 / 0.25 = 360. HR department employees = (2/9) × 360 = 80. Sales department employees = 80 × 1.25 = 100. Finance department employees = 90. Employees in Security and Housing combined = 360 - (90 + 80 + 100) = 90. Given the Security to Housing ratio is 4 : 5, Housing department employees = 90 × (5/9) = 50. Sum of employees in Sales, Finance, and Housing = 100 + 90 + 50 = 240. Average number of employees = 240 / 3 = 80.

58Numerical Ability
There are total five departments in a company. There are total 90 employees in Finance department which is 25% of total employees in the company. 2 / 9 of the total employees of the company are working in HR department. Employees working in Sales department is 25% more than that in HR department. Ratio between employees working in Security and Housing department is 4:5 . Number of employees in Housing department is how much more than number of employees in Security department?
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Answer: (A) 10

Explanation

Total employees in the company = 90 / 0.25 = 360. HR department employees = (2/9) × 360 = 80. Sales department employees = 80 × 1.25 = 100. Employees in Security and Housing combined = 360 - (90 + 80 + 100) = 90. Housing department employees = 90 × (5/9) = 50. Security department employees = 90 × (4/9) = 40. Difference between Housing and Security department employees = 50 - 40 = 10.

59Numerical Ability
There are total five departments in a company. There are total 90 employees in Finance department which is 25% of total employees in the company. 2 / 9 of the total employees of the company are working in HR department. Employees working in Sales department is 25% more than that in HR department. Ratio between employees working in Security and Housing department is 4:5 . In Security department, 40% are female employees then find total male employees working in Security department?
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Answer: (E) 24

Explanation

Total employees in the company = 90 / 0.25 = 360. HR department employees = (2/9) × 360 = 80. Sales department employees = 80 × 1.25 = 100. Employees in Security and Housing combined = 360 - (90 + 80 + 100) = 90. Security department employees = 90 × (4/9) = 40. Since 40% of Security employees are female, the percentage of male employees is 60%. Total male employees in Security = 60% of 40 = 0.60 × 40 = 24.

60Numerical Ability
There are total five departments in a company. There are total 90 employees in Finance department which is 25% of total employees in the company. 2 / 9 of the total employees of the company are working in HR department. Employees working in Sales department is 25% more than that in HR department. Ratio between employees working in Security and Housing department is 4:5 . Ratio between total number of male and female employees in HR department is 2:3 . Find total number of female employees working in HR department?
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Answer: (B) 48

Explanation

Total employees in the company = 90 / 0.25 = 360. Total employees in HR department = (2/9) × 360 = 80. The ratio of male to female employees in HR department is 2 : 3. Total female employees working in HR department = 80 × (3 / (2 + 3)) = 80 × (3/5) = 48.

61Numerical Ability
What value should come in place of question mark (?) in the following questions? ?² = 4² +8² -31
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Answer: (B) 7

Explanation

To find the value of the unknown variable ?, simplify the expression on the right-hand side step by step using standard order of operations. First, calculate the squares of the numbers: 4² = 16 and 8² = 64. Next, perform the addition and subtraction: 16 + 64 - 31 = 80 - 31 = 49. Equating ?² = 49 and taking the principal square root of both sides gives ? = √49 = 7.

62Numerical Ability
What value should come in place of question mark (?) in the following questions? 13 × 6 + ? × 4 = 18 × 7
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Answer: (D) 12

Explanation

To solve for ?, simplify both sides of the equation. On the right-hand side, calculate 18 × 7 = 126. On the left-hand side, calculate 13 × 6 = 78. Substituting these products into the equation gives 78 + 4 × ? = 126. Subtracting 78 from both sides yields 4 × ? = 126 - 78 = 48. Dividing both sides by 4 gives ? = 48 / 4 = 12.

63Numerical Ability
What value should come in place of question mark (?) in the following questions? 40% of ? = 25% of 320 + 75% of 160
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Answer: (A) 500

Explanation

Convert percentages to fractional forms to simplify the equation. On the right-hand side, calculate 25% of 320 as ¼ × 320 = 80, and calculate 75% of 160 as ¾ × 160 = 120. Summing these values gives 80 + 120 = 200. The equation becomes 40% of ? = 200, or 0.4 × ? = 200. Solving for ? gives ? = 200 / 0.4 = 500.

64Numerical Ability
What value should come in place of question mark (?) in the following questions? 11² + 6² = ? + 37
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Answer: (C) 120

Explanation

To determine the unknown value ?, compute the square of each given integer on the left-hand side. Evaluating the exponents yields 11² = 121 and 6² = 36. Adding these terms gives 121 + 36 = 157. Substituting this into the equation produces 157 = ? + 37. Isolating ? by subtracting 37 from 157 yields ? = 157 - 37 = 120.

65Numerical Ability
What value should come in place of question mark (?) in the following questions? (360)/(?) = 12 × 6 - 3³
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Answer: (E) 8

Explanation

Simplify the right-hand side of the equation: 12 × 6 - 3³ = 72 - 27 = 45

Substitute this value back into the original equation: 360 / ? = 45

Solving for ?: ? = 360 / 45 = 8

66Numerical Ability
√(225) + √(441) = ?²
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Answer: (D) 6

Explanation

To simplify the equation √225 + √441 = ?², evaluate the square roots on the left-hand side. The square root of 225 is 15, and the square root of 441 is 21. Adding these values together gives 15 + 21 = 36. Equating this to ?² gives ?² = 36. Taking the non-negative square root of both sides results in ? = √36 = 6.

67Numerical Ability
What value should come in place of question mark (?) in the following questions? 16 × 8 - ? = 2⁶
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Answer: (A) 64

Explanation

To find the value of ?, simplify the terms on both sides of the equation 16 × 8 - ? = 2⁶. First, compute the product 16 × 8 = 128. Next, evaluate the exponent on the right-hand side, 2⁶ = 64. Substituting these values gives 128 - ? = 64. Rearranging the terms to isolate ? yields ? = 128 - 64 = 64.

68Numerical Ability
16 × 54 ÷ 36 + 6 = ?
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Answer: (B) 30

Explanation

To evaluate the arithmetic expression 16 × 54 ÷ 36 + 6, apply the BODMAS rule for order of operations. Multiplication and division are performed from left to right: first divide 54 by 36 to get 1.5, then multiply by 16 to obtain 16 × 1.5 = 24. Alternatively, compute (16 × 54) / 36 = 864 / 36 = 24. Finally, add 6 to get 24 + 6 = 30.

69Numerical Ability
? = √(6 × 3 × 5 + 50%) of 620
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Answer: (E) 20

Explanation

To solve for ?, evaluate the expression under the square root symbol using BODMAS rules. Inside the square root, compute the multiplication product 6 × 3 × 5 = 90. Next, calculate 50% of 620 as 0.50 × 620 = 310. Add these two values to get 90 + 310 = 400. Finally, take the square root of 400, which gives ? = √400 = 20.

70Numerical Ability
What value should come in place of question mark (?) in the following questions? 6² = (18 × 8 - ? × 2)/(3)
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Answer: (C) 18

Explanation

To determine ?, simplify both sides of the equation 6² = (18 × 8 - ? × 2) / 3. First, evaluate 6² = 36 and 18 × 8 = 144. Substitute these into the equation to get 36 = (144 - 2 × ?) / 3. Multiply both sides by 3 to clear the denominator: 108 = 144 - 2 × ?. Rearranging gives 2 × ? = 144 - 108 = 36, which yields ? = 36 / 2 = 18.

71Numerical Ability
Table given below shows marks obtained by four students in four different subjects in an exam. Study the data carefully and answer the following questions Subjects Students | English | Hindi | Science | Maths Paul | 65 | 60 | 80 | 65 Aditya | 75 | 75 | 60 | 75 Neeraj | 85 | 55 | 95 | 85 Sandy | 60 | 60 | 65 | 60 Marks scored by Sandy in English and Maths together is what percent of the Marks scored by Aditya and Neeraj in English together?
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Answer: (C) 75%

Explanation

Marks scored by Sandy in English and Maths = 60 + 60 = 120. Marks scored by Aditya and Neeraj in English together = 75 + 85 = 160. Required percentage = (120 / 160) × 100 = 75%.

72Numerical Ability
Table given below shows marks obtained by four students in four different subjects in an exam. Study the data carefully and answer the following questions Subjects Students | English | Hindi | Science | Maths Paul | 65 | 60 | 80 | 65 Aditya | 75 | 75 | 60 | 75 Neeraj | 85 | 55 | 95 | 85 Sandy | 60 | 60 | 65 | 60 Find the ratio of total marks scored by all four students together in Hindi to total marks scored by all four students together in Science?
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Answer: (A) 5:6

Explanation

Total marks in Hindi = 60 + 75 + 55 + 60 = 250. Total marks in Science = 80 + 60 + 95 + 65 = 300. Required ratio = 250 : 300 = 5 : 6.

73Numerical Ability
Table given below shows marks obtained by four students in four different subjects in an exam. Study the data carefully and answer the following questions Subjects Students | English | Hindi | Science | Maths Paul | 65 | 60 | 80 | 65 Aditya | 75 | 75 | 60 | 75 Neeraj | 85 | 55 | 95 | 85 Sandy | 60 | 60 | 65 | 60 Total marks scored by Paul are how much more/less than total marks scored by Neeraj?
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Answer: (D) 50

Explanation

Total marks scored by Paul = 65 + 60 + 80 + 65 = 270. Total marks scored by Neeraj = 85 + 55 + 95 + 85 = 320. Difference = 320 - 270 = 50.

74Numerical Ability
Table given below shows marks obtained by four students in four different subjects in an exam. Study the data carefully and answer the following questions Subjects Students | English | Hindi | Science | Maths Paul | 65 | 60 | 80 | 65 Aditya | 75 | 75 | 60 | 75 Neeraj | 85 | 55 | 95 | 85 Sandy | 60 | 60 | 65 | 60 Find the average of the marks scored by Aditya in English, Hindi and Science together?
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Answer: (E) 70

Explanation

Aditya's marks in English, Hindi, and Science are 75, 75, and 60 respectively. Sum = 75 + 75 + 60 = 210. Average = 210 / 3 = 70.

75Numerical Ability
Table given below shows marks obtained by four students in four different subjects in an exam. Study the data carefully and answer the following questions Subjects Students | English | Hindi | Science | Maths Paul | 65 | 60 | 80 | 65 Aditya | 75 | 75 | 60 | 75 Neeraj | 85 | 55 | 95 | 85 Sandy | 60 | 60 | 65 | 60 If maximum marks for each subject are 100 then find what percentage of total marks is obtained by Sandy?
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Answer: (B) 61.25%

Explanation

Sandy's total marks = 60 + 60 + 65 + 60 = 245. Maximum total marks for four subjects = 4 × 100 = 400. Percentage obtained = (245 / 400) × 100 = 61.25%.

76Numerical Ability
An article was sold at a discount of 20% at Rs. 1020. If the article was sold at discount of Rs. 199 in place of 20% discount then find the selling price.
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Answer: (B) Rs. 1076

Explanation

Let the Marked Price be MP. Since 80% of MP = Rs. 1020, MP = 1020 / 0.80 = Rs. 1275. With a discount of Rs. 199, New Selling Price = 1275 - 199 = Rs. 1076.

77Numerical Ability
The total age of A, B and C four years hence will be 98 years. Find the age of C four years hence if the present age of A and B is 32 years and 23 years respectively.
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Answer: (C) 35 yr.

Explanation

Age four years hence for A = 32 + 4 = 36 years. Age four years hence for B = 23 + 4 = 27 years. Sum of ages of A, B, and C four years hence = 98 years. Age of C four years hence = 98 - (36 + 27) = 35 years.

78Numerical Ability
A invests Rs. 12,000 for X months while B invests Rs. 16,000 for 9 months in a scheme. The profit share of B is Rs. 12,000 out of total profit Rs. 21,000. Then find the value of X?
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Answer: (B) 9 months

Explanation

Profit share of A = 21000 - 12000 = Rs. 9000. Ratio of profit share of A to B = 9000 : 12000 = 3 : 4. Ratio of investment × time = (12000 × X) / (16000 × 9) = 12X / 144 = X / 12. Equating the two ratios: X / 12 = 3 / 4, which gives X = 9 months.

79Numerical Ability
A mixture of milk and water contains 60% milk and remaining water. How much water should be added (in percentage) in mixture to reverse the proportion of milk and water?
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Answer: (E) 50%

Explanation

Let total initial mixture = 100 units. Milk = 60 units, Water = 40 units. To reverse the proportion, the ratio of milk to water must become 40 : 60 = 2 : 3. Since milk quantity remains constant at 60 units, 2 units correspond to 60, making 1 unit = 30. New water quantity = 3 × 30 = 90 units. Water to be added = 90 - 40 = 50 units. Percentage of water added relative to initial mixture = (50 / 100) × 100 = 50%.

80Numerical Ability
The simple interest on a certain sum for 2 years at 8% per annum is Rs. 225 less than the compound interest on the same sum for 2 years at 10% per annum. The sum is:
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Answer: (E) Rs. 4500

Explanation

Simple Interest for 2 years at 8% per annum = P × 8 × 2 / 100 = 0.16 P. Compound Interest for 2 years at 10% per annum = P × ((1 + 10/100)² - 1) = 0.21 P. Difference = 0.21 P - 0.16 P = 0.05 P. Given 0.05 P = 225, P = 225 / 0.05 = Rs. 4500.

Answer key

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  1. 1D
  2. 2A
  3. 3E
  4. 4B
  5. 5D
  6. 6D
  7. 7D
  8. 8E
  9. 9A
  10. 10D
  11. 11A
  12. 12B
  13. 13B
  14. 14A
  15. 15A
  16. 16B
  17. 17D
  18. 18B
  19. 19D
  20. 20D
  21. 21B
  22. 22A
  23. 23C
  24. 24B
  25. 25A
  26. 26B
  27. 27A
  28. 28D
  29. 29A
  30. 30D
  31. 31E
  32. 32B
  33. 33E
  34. 34C
  35. 35D
  36. 36B
  37. 37A
  38. 38C
  39. 39B
  40. 40C
  41. 41C
  42. 42A
  43. 43D
  44. 44B
  45. 45E
  46. 46D
  47. 47B
  48. 48A
  49. 49E
  50. 50D
  51. 51D
  52. 52B
  53. 53D
  54. 54A
  55. 55C
  56. 56D
  57. 57C
  58. 58A
  59. 59E
  60. 60B
  61. 61B
  62. 62D
  63. 63A
  64. 64C
  65. 65E
  66. 66D
  67. 67A
  68. 68B
  69. 69E
  70. 70C
  71. 71C
  72. 72A
  73. 73D
  74. 74E
  75. 75B
  76. 76B
  77. 77C
  78. 78B
  79. 79E
  80. 80E

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