Logical Reasoning & Analytical Ability PYQs — 325 UPSC CSE Previous Year Questions

Question 1

Consider the following statements: Every red is blue. Every blue is green. Every green is yellow. Which of the following statements denoted by P, Q and R are correct? P. Every blue is yellow. Q. Every red is green. R. Every red is yellow. Select the answer using the code given below.

Accepted Answer

D. P, Q and R

Question 2

Directions: Each item in this section contains a question followed by two statements. Answer each item using the following instructions and mark your response on the Answer Sheet accordingly. (a) Select this option if the question can be answered using one of these statements alone, but cannot be answered using other statement (b) Select this option if the question can be answered using either statement alone (c) Select this option if the question can be answered using both the statements together, but cannot be answered using either statement alone (d) Select this option if the question cannot be answered even using any of the statements Question: For two distinct real numbers x and y, which of them is bigger? Statement I: x^2 < y < 1 Statement II: y < √(x) < 1

Accepted Answer

D. Select this option if the question cannot be answered even using any of the statements

Question 3

Two identical straight rods are painted in five distinct colours so that each of them gets divided into five equal parts along the length. In one of them, the portions are marked P1, P2, P3, P4 and P5 (not necessarily in that order) whereas in the other, they are marked Q1, Q2, Q3, Q4 and Q5 (not necessarily in that order). When the rods are kept parallel to each other side by side, P1 and Q3 match, P4 matches Q1 or Q2, and Q4 matches P3 or P5. If Q3 and Q5 are adjacent, which of the following is/are possible? Q3 is marked at the middle portion of the straight rod. P2 is marked at one of the extreme portions of the straight rod. Select the answer using the code given below.

Accepted Answer

C. Both I and II

Question 4

Directions: Each item in this section contains a question followed by two statements. Answer each item using the following instructions and mark your response on the Answer Sheet accordingly. (a) Select this option if the question can be answered using one of these statements alone, but cannot be answered using other statement (b) Select this option if the question can be answered using either statement alone (c) Select this option if the question can be answered using both the statements together, but cannot be answered using either statement alone (d) Select this option if the question cannot be answered even using any of the statements Question: X is a collection of certain odd numbers whereas Y is a collection of certain even numbers. T consists of the numbers all of which are either from X or from Y. Is every number of T from Y? Statement I: The sum of any two numbers belonging to T is even. Statement II: If both p and q are picked from T, then (p - 1)q is even.

Accepted Answer

D. Select this option if the question cannot be answered even using any of the statements

Question 5

The weight of X, in kg, is denoted by X. The weights of A, B, C, D, P, Q, R and S are measured. Given: A + B + C + D = 17 A + C = 6 P + Q + S + D = 15 P + Q + R + B = 17 P = R and Q = S Which one of the following statements is correct?

Accepted Answer

B. P and Q together weigh more than the total weight of A and C.

Question 6

Seven persons A, B, C, D, E, F and G travel by three cars X, Y, Z. A and another two of them travel by X. Only E travels with G. C travels by Z, but B does not travel by Y. Besides, A and B do not travel by the same car. Then which of the following are correct? No one travels alone. Only D travels with F. Only C travels with B. Select the answer using the code given below.

Accepted Answer

B. I and III only

Question 7

Directions: Each item in this section contains a question followed by two statements. Answer each item using the following instructions and mark your response on the Answer Sheet accordingly. Question: If x, y and z are integers, each greater than 1, then is x a prime number? Statement I: xy^2 = 116 Statement II: xz = 261

Accepted Answer

A. Select this option if the question can be answered using one of these statements alone, but cannot be answered using other statement

Question 8

Directions: Each item in this section contains a question followed by two statements. Answer each item using the following instructions and mark your response on the Answer Sheet accordingly. (a) Select this option if the question can be answered using one of these statements alone, but cannot be answered using other statement (b) Select this option if the question can be answered using either statement alone (c) Select this option if the question can be answered using both the statements together, but cannot be answered using either statement alone (d) Select this option if the question cannot be answered even using any of the statements Question: If x and y are integers, then is x even? Statement I: x^2 y^2 is even. Statement II: 1 + x^2 + y^2 is odd.

Accepted Answer

C. Select this option if the question can be answered using both the statements together, but cannot be answered using either statement alone

Question 9

A pattern formed by two characters a and b is repeated more than once in the following string: × b × a × a × × a × a × bab What is × × in the 7th and 8th positions from the left in the above string?

Accepted Answer

D. bb

Question 10

Consider the following three statements, namely S1, S2 and S3: S1. Protecting the environment is an existential exigency for humans, given the impact of environmental degradation on climate change. S2. Scientific consensus has not been achieved with regard to the extent of the contribution of human intervention to climate change. S3. Environmental activism includes climate alarmism and other extremist points of view that often become the focus of climate change deniers. Which of the following relationships based on the statements given above is/are correct? S3 is a counterpoint to S1 S3 is unconnected to S1 and S2 S2 could be the reason for S3 Select the answer using the code given below.

Accepted Answer

D. 3 only

Question 11

There are four statements X, Y, Z and W. Their relations are as follows: If X is incorrect, then so is Z; if Y is incorrect, then W is correct; if W is correct, then X is incorrect. Which of the following is/are correct? If X is correct, then so is Y. If Z is correct, then it is not necessary that Y is correct. Select the answer using the code given below.

Accepted Answer

A. I only

Question 12

Directions: Each item in this section contains a question followed by two statements. Answer each item using the following instructions and mark your response on the Answer Sheet accordingly. (a) Select this option if the question can be answered using one of these statements alone, but cannot be answered using other statement (b) Select this option if the question can be answered using either statement alone (c) Select this option if the question can be answered using both the statements together, but cannot be answered using either statement alone (d) Select this option if the question cannot be answered even using any of the statements Question: X receives three coins of different denominations: 1, 2, 5, 10 and 20. If the total amount received by X is m, does X receive a coin of denomination 5? Statement I: m is not a prime number. Statement II: The sum of the digits of m is greater than 5.

Accepted Answer

A. Select this option if the question can be answered using one of these statements alone, but cannot be answered using other statement

Question 13

A cut on a solid object divides the object into two parts where the new surfaces thus produced are plane. On the other hand, one single cut can be used to cut more than one object at a time. In an experiment, the total number of pieces produced by applying n cuts is denoted by xn . The experiment is performed on a solid cube where pieces remain unmoved after each cut. In this experiment, if after the third cut, the pieces are identical, then which of the following is not a possible value for x4 ?

Accepted Answer

A. 16

Question 14

If ZERO is encoded as ADSN, then how do you encode STOP?

Accepted Answer

B. TSPO

Question 15

P has a son and a daughter. S is the mother of T. S is R's spouse. Q and R are children of P. Then how is Q related to S?

Accepted Answer

D. Q is a sister of the husband of S

Question 16

Eight persons P, Q, R, S, T, U, V and W sit around a round table in eight different seats placed with equal distance between any two consecutive seats. Both P and R are adjacent to Q. Both T and R are adjacent to S. Both U and W are adjacent to V. S and W are on opposite chairs. If while going in the clockwise direction around the table from P, one meets R before T, then how many persons shall Q cross while moving in the clockwise direction around the table before meeting W?

Accepted Answer

A. 5

Question 17

Seven cubes are identical in shape. Out of these, the weight of each of the six cubes is equal and the weight of the remaining cube is less than the weight of any other cube. A balance is used to identify the lightest cube. What is the minimum number of attempts required to distinguish the odd cube with certainty?

Accepted Answer

A. 2

Question 18

P, Q, R, S and T are ranked 1 to 5 (not necessarily in that order). The rank of P is 4, the rank of Q is not 5, the rank of R is 1, the rank of S is not 2, the rank of T is not 3. Then which of the following is/are correct? If the rank of S is 3, then that of T is 2. If the rank of Q is 3, then that of T is 5. Select the answer using the code given below.

Accepted Answer

D. Neither I nor II

Question 19

In a sequence of numbers, each number other than the first two is the sum of the two immediately preceding numbers from it. If the first two numbers in the sequence are 4 and 7, then the sixth number is

Accepted Answer

D. 47

Question 20

If NO is coded as 210, NOT is coded as 4200 and NOTE is coded as 21000, then how is NOTES coded?

Accepted Answer

A. 399000

Question 21

A mobile phone has been stolen. There are 3 suspects P, Q and R. They were questioned knowing that only one of them is guilty. Their responses are as follows:
P: I did not steal. Q stole it.
Q: R did not steal. I did not steal.
R: I did not steal. I do not know who did it.
Who stole the mobile phone?

Accepted Answer

A. P

Question 22

Consider the sequence ABCCABCCCBBCC that follows a certain pattern. Which one of the following completes the sequence?

Accepted Answer

C. B, C, B, A, C

Question 23

If 7 * 24 = 25 and 12 * 16 = 20, then what is 16 * 63 equal to?

Accepted Answer

C. 65

Question 24

Three teams P, Q, R participated in a tournament in which the teams play with one another exactly once. A win fetches a team 2 points and a draw 1 point. A team gets no point for a loss. Each team scored exactly one goal in the tournament. The team P got 3 points, Q got 2 points and R got 1 point.

Which of the following statements is/are correct?

The result of the match between P and Q is a draw with the score 0 -0.
The number of goals scored by R against Q is 1.

Which of the statements given above is/are correct?

Accepted Answer

C. Both I and II

Question 25

If P = +, Q = –, R = ×, S = ÷, then insert the proper notations between the successive numbers in the equation 60153204=20:

Accepted Answer

B. QRPS

Question 26

A solid cube is painted yellow on all its faces. The cube is then cut into 60 smaller but equal pieces by making the minimum number of cuts. Which of the following statements is/are correct? The minimum number of cuts is 9. The number of smaller pieces which are not painted on any face is 6. Select the correct answer using the code below:

Accepted Answer

C. Both I and II

Question 27

A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.

Question: How is Q related to P?

Statement I: P has two sisters, R and S.

Statement II: R’s father is the brother of Q.

Which one of the following is correct in respect of the above Question and the Statements?

Accepted Answer

D. The Question cannot be answered even using any of the Statements.

Question 28

If FRANCE is coded as 654321 and GERMANY is coded as 9158437, then how is YEMEN coded?

Accepted Answer

D. 71813

Question 29

A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.

Question: Is Figure for the question: A question is given followed by two Statements I and II. Consider the Question and the St… , where p, q are natural numbers, positive?

Statement I: p < q.
Statement II: p > q.

Which one of the following is correct in respect of the above Question and the Statements?

Accepted Answer

B. The Question can be answered by using either Statement alone.

Question 30

A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.

Question:

In a football match, team P playing against Q was behind by 3 goals with 10 minutes remaining. Does team P win the match?

Statement I: Team P scored 4 goals in the last 10 minutes.

Statement II: Team Q scored a total of 4 goals in the match.

Which one of the following is correct in respect of the above Question and the Statements?

Accepted Answer

D. The Question cannot be answered even using any of the Statements.

Question 31

In a certain code if 64 is written as 343 and 216 is written as 729, then how is 512 written in that code?

Accepted Answer

B. 1331

Question 32

What is X in the sequence 1, 3, 6, 11, 18, X, 42 ?

Accepted Answer

C. 29

Question 33

A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.

Question: What is the smallest 1-digit number having exactly 4 distinct factors?

Statement I: 2 is one of the factors.
Statement II: 3 is one of the factors.

Which one of the following is correct in respect of the above Question and the Statements?

Accepted Answer

D. The Question can be answered even without using any of the Statements.

Question 34

A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.

Question: Let P, Q, R, S be distinct non-zero digits. If PP × PQ = RRSS, where P ≤ 3 and Q ≤ 4, then what is Q equal to?

Statement I: R = 1.
Statement II: S = 2.

Which one of the following is correct in respect of the above Question and the Statements?

Accepted Answer

D. The Question can be answered even without using any of the Statements.

Question 35

What comes at X and Y respectively in the following sequence? January, January, December, October, X, March, October, Y, September

Accepted Answer

B. July, April

Question 36

What is X in the sequence 24, X, 12, 18, 36, 90?

Accepted Answer

B. 12

Question 37

P is the brother of Q and R. S is R's mother. T is P's father. How many of the following statements are definitely true?

S and T are a couple.
Q is T's son.
T is Q's father.
S is P's mother.
R is T's daughter.
P is S's son.

Select the correct answer using the code given below:

Accepted Answer

C. Only four

Question 38

Consider the following statements:

If A ≤ B > C < D > E > F ≥ G = H; then B is always greater than E.
If P > Q = R ≥ S = T ≤ U = V > W; then S is always less than V.

Which of the statements above is/are correct?

Accepted Answer

D. Neither I nor II

Question 39

A Question is given followed by two Statements I and II. Consider the Question and the Statements.

A person buys three articles p, q and r for ₹50. The price of the article q is ₹16 which is the least.
Question: What is the price of the article p?
Statement-I: The cost of p is not more than that of r.
Statement-II: The cost of r is not more than that of p.
Which one of the following is correct in respect of the above Question and the Statements?

CSAT - 2024

Accepted Answer

D. The Question cannot be answered even by using both the Statements together

Question 40

A father said to his son, “n years back I was as old as you are now. My present age is four times your age n years back”. If the sum of the present ages of the father and the son is 130 years, what is the difference of their ages?

Accepted Answer

A. 30 years

Question 41

If a + b means a – b; a – b means a × b; a × b means a ÷ b; a ÷ b means a + b, then what is the value of 10 + 30 – 100 × 50 ÷ 25? (Operations are to be replaced simultaneously)

Accepted Answer

D. –25

Question 42

A Question is given followed by two Statements I and II. Consider the Question and the Statements.

A person buys three articles p, q and r for ₹50. The price of the article q is ₹16 which is the least.
Question: What is the price of the article p?
Statement-I: The cost of p is not more than that of r.
Statement-II: The cost of r is not more than that of p.
Which one of the following is correct in respect of the above Question and the Statements?

Accepted Answer

C. The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone

Question 43

A Question is given followed by two Statements I and II. Consider the Question and the Statements.

A person buys three articles p, q and r for ₹50. The price of the article q is ₹16 which is the least.
Question: What is the price of the article p?
Statement-I: The cost of p is not more than that of r.
Statement-II: The cost of r is not more than that of p.
Which one of the following is correct in respect of the above Question and the Statements?

Accepted Answer

D. The Question cannot be answered even by using both the Statements together.

Question 44

A Question is given followed by two Statements I and II. Consider the Question and the Statements.

A person buys three articles p, q and r for ₹50. The price of the article q is ₹16 which is the least.
Question: What is the price of the article p?
Statement-I: The cost of p is not more than that of r.
Statement-II: The cost of r is not more than that of p.
Which one of the following is correct in respect of the above Question and the Statements?

Accepted Answer

C. The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.

Question 45

A Main Statement is followed by four Statements labelled P, Q, R and S. Choose the ordered pair of the Statements where the first Statement implies the second, and the two Statements are logically consistent with the Main Statement.

Main Statement: Pradeep becomes either a Director or a Producer.
Statement P: Pradeep is a Director
Statement Q: Pradeep is a Producer.
Statement R: Pradeep is not a Director.
Statement S: Pradeep is not a Producer.
Select the correct answer.

Accepted Answer

C. Both SP and RQ

Question 46

A Question is given followed by two Statements I and II. Consider the Question and the Statements.

A person buys three articles p, q and r for ₹50. The price of the article q is ₹16 which is the least.
Question: What is the price of the article p?
Statement-I: The cost of p is not more than that of r.
Statement-II: The cost of r is not more than that of p.
Which one of the following is correct in respect of the above Question and the Statements?

Accepted Answer

B. The Question can be answered by using either Statement alone

Question 47

What will come in place of * in the sequence 3, 14, 39, 84, *, 258?

Accepted Answer

B. 155

Question 48

A Question is given followed by two Statements I and II. Consider the Question and the Statements.

A person buys three articles p, q and r for ₹50. The price of the article q is ₹16 which is the least.
Question: What is the price of the article p?
Statement-I: The cost of p is not more than that of r.
Statement-II: The cost of r is not more than that of p.
Which one of the following is correct in respect of the above Question and the Statements?

Accepted Answer

A. The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone.

Question 49

A Question is given followed by two Statements I and II. Consider the Question and the Statements.

A person buys three articles p, q and r for ₹50. The price of the article q is ₹16 which is the least.
Question: What is the price of the article p?
Statement-I: The cost of p is not more than that of r.
Statement-II: The cost of r is not more than that of p.
Which one of the following is correct in respect of the above Question and the Statements?

Accepted Answer

C. The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone

Question 50

If in a certain code, ‘ABCD’ is written as 24 and ‘EFGH’ is written as 1680, then how is IJKL’ written in that code?

Accepted Answer

A. 11880

Question 51

Consider the sequence ABCDBBCDABCDABCD that follows a certain pattern. Which one of the following completes the sequence?

Accepted Answer

C. A, A, C, D

Question 52

If in a certain code, ‘POT’ is written as ATOP and ‘TRAP’ is written as APART, then how is ‘ARENA’ written in that code?

Accepted Answer

D. AANERA

Question 53

A Statement is given followed by two Conclusions numbered I and II. Consider the Statement and the Conclusions.

Statement:

India is the world’s largest producer of milk.

Conclusion-I:

India is the world’s largest exporter of milk.

Conclusion-II:

India does not import milk.

Which one of the following is correct?

Accepted Answer

D. Neither Conclusion-I nor Conclusion-II follows

Question 54

In some code, letters P, Q, R, S, T represent numbers 4, 5, 10, 12, 15. It is not known which letter represents which number. If Q – S = 2S and T = R + S + 3, then what is the value of P + R – T?

Accepted Answer

B. 2

Question 55

A Question is given followed by two Statements I and II. Consider the Question and the Statements.

A person buys three articles p, q and r for ₹50. The price of the article q is ₹16 which is the least.
Question: What is the price of the article p?
Statement-I: The cost of p is not more than that of r.
Statement-II: The cost of r is not more than that of p.
Which one of the following is correct in respect of the above Question and the Statements?

CSAT - 2024

Accepted Answer

D. The Question cannot be answered even by using both the Statements together.

Question 56

A Question is given followed by two Statements I and II. Consider the Question and the Statements.

A person buys three articles p, q and r for ₹50. The price of the article q is ₹16 which is the least.
Question: What is the price of the article p?
Statement-I: The cost of p is not more than that of r.
Statement-II: The cost of r is not more than that of p.
Which one of the following is correct in respect of the above Question and the Statements?

Accepted Answer

C. The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.

Question 57

The calendar for the year 2025 is same for

Accepted Answer

C. 2031

Question 58

If P means ‘greater than (>)’; Q means less than (<)’; R means ‘not greater than $\left( \boxed{>} \right)$ ’; S means ‘not less than $\left( \boxed{<} \right)$ ’ and T means ‘equal to (=)’, then consider the following statements:

If 2x(S)3y and 3x(T)4z, then 9y(P)8z.
If x(Q)2y and y(R)z, then x(R)z.

Which of the statements given above is/are correct?

Accepted Answer

D. Neither 1 nor 2

Question 59

A Question is given followed by two Statements I and II. Consider the Question and the Statements.

A person buys three articles p, q and r for ₹50. The price of the article q is ₹16 which is the least.
Question: What is the price of the article p?
Statement-I: The cost of p is not more than that of r.
Statement-II: The cost of r is not more than that of p.
Which one of the following is correct in respect of the above Question and the Statements?

CSAT - 2024

Accepted Answer

A. The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone

Question 60

What is the middle term of the sequence Z, Z, Y, Y, Y, X, X, X, X, W, W, W, W, W, …., A?

Accepted Answer

B. I

Question 61

There are five person P, Q, R, S and T each one of whom has to be assigned one task. Neither P nor Q can be assigned Task -1. Task-2 must be assigned to either R or S. In how many ways can the assignment be done?

Accepted Answer

D. 24

Question 62

For five children with ages a < b < e ; any two successive ages differ by 2 years.

What is the age off the youngest child?

Statement-I : The age of the eldest in 3 times the youngest.
Statement-2: The average age of the children is 8 years.

Which one of the following is correct in respect of the above Question and the Statements?

Accepted Answer

B. The Questions can be answered by using either Statement alone.

Question 63

In a party, 75 persons took tea, 60 persons took coffee and 15 persons took both tea and coffee. No one taking milk takes tea. Each person takes, at least one drink.

How many persons attended the party?

50 persons took milk.
Number of persons who attended the party is five times the number of persons who took milk only.

Question and the Statements?

Accepted Answer

C. The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.

Question 64

Consider the sequence ABC ABCDABBCDABCD that follows a certain pattern. Which one of the following completes the sequence?

Accepted Answer

D. DDCA