UPSC CSE Prelims CSAT (Paper II) previous year questions on Data Sufficiency (Logical Reasoning), asked from 2017–2026, with answers. There are 47 questions in this post. Attempt each question, then click Show Answer to check.
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Directions for the following 5 (five) items:
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
1] 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. [2026/1]
Show Answer
Ans: (a)
2] Question: For two distinct real numbers x and y, which of them is bigger?
Statement I: x² < y < 1
Statement II: y < √x < 1 [2026/2]
Show Answer
Ans: (d)
3] Question: If x and y are integers, then is x even?
Statement I: x²y² is even.
Statement II: 1 + x² + y² is odd. [2026/3]
Show Answer
Ans: (c)
4] 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. [2026/4]
Show Answer
Ans: (d)
5] Question: If x, y and z are integers, each greater than 1, then is x a prime number?
Statement I: xy² = 116
Statement II: xz = 261 [2026/5]
Show Answer
Ans: (a)
6] 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? [2025/68]
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone.
(b) The Question can be answered by using either Statement alone.
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
(d) The Question can be answered even without using any of the Statements.
Show Answer
Ans: (d) The Question can be answered even without using any of the Statements.
7] 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? [2025/69]
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone.
(b) The Question can be answered by using either Statement alone.
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
(d) The Question can be answered even without using any of the Statements.
Show Answer
Ans: (d) The Question can be answered even without using any of the Statements.
8] 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? [2025/70]
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone.
(b) The Question can be answered by using either Statement alone.
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
(d) The Question cannot be answered even using any of the Statements.
Show Answer
Ans: (d) The Question cannot be answered even using any of the Statements.
9] 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? [2025/73]
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone.
(b) The Question can be answered by using either Statement alone.
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
(d) The Question cannot be answered even using any of the Statements.
Show Answer
Ans: (d) The Question cannot be answered even using any of the Statements.
10] A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.
Question:
Is (p + q)² − 4pq, 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? [2025/74]
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone.
(b) The Question can be answered by using either Statement alone.
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
(d) The Question can be answered even without using any of the Statements.
Show Answer
Ans: (b) The Question can be answered by using either Statement alone.
11] In a T20 cricket match, three players X, Y and Z scored a total of 37 runs. The ratio of number of runs scored by X to the number of runs scored by Y is equal to the ratio of number of runs scored by Y to number of runs scored by Z.
Value-I = Runs scored by X
Value-II = Runs scored by Y
Value-III = Runs scored by Z
Which one of the following is correct? [2025/75]
(a) Value-I < Value-II < Value-III
(b) Value-III < Value-II < Value-I
(c) Value-I < Value-III < Value-II
(d) Cannot be determined due to insufficient data
Show Answer
Ans: (d) Cannot be determined due to insufficient data
12] Let p + q = 10, where p, q are integers.
Value-I = Maximum value of p × q when p, q are positive integers.
Value-II = Maximum value of p × q when p ≥ −6, q ≥ −4.
Which one of the following is correct? [2025/76]
(a) Value-I < Value-II
(b) Value-II < Value-I
(c) Value-I = Value-II
(d) Cannot be determined due to insufficient data
Show Answer
Ans: (c) Value-I = Value-II
13] Consider a set of 11 numbers:
Value-I = Minimum value of the average of the numbers of the set when they are consecutive integers ≥ −5.
Value-II = Minimum value of the product of the numbers of the set when they are consecutive non-negative integers.
Which one of the following is correct? [2025/77]
(a) Value-I < Value-II
(b) Value-II < Value-I
(c) Value-I = Value-II
(d) Cannot be determined due to insufficient data
Show Answer
Ans: (c) Value-I = Value-II
14] 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? [2024/58]
(a) Only Conclusion—I follows
(b) Only Conclusion—II follows
(c) Both Conclusion—I and Conclusion—II follow
(d) Neither Conclusion—I nor Conclusion—II follows
Show Answer
Ans: (d) Neither Conclusion—I nor Conclusion—II follows
15] A Question is given followed by two Statements I and II. Consider the Question and the Statements.
Question:
What are the values of m and n, where m and n are natural numbers?
Statement—I:
m + n > mn and m > n.
Statement—II:
The product of m and n is 24.
Which one of the following is correct in respect of the above Question and the Statements [2024/59]
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
(b) The Question can be answered by using either Statement alone
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
(d) The Question cannot be answered even by using both the Statements together
Show Answer
Ans: (c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
16] A Question is given followed by two Statements I and II. Consider the Question and the Statements.
Question:
What is the time required download the software?
Statement—I:
The size of the software is 12megabytes.
Statement—II
The transfer rate is 2·4 kilobytes per second.
Which one of the following is correct in respect of the above Question and the Statements? [2024/60]
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the
(b) The Question can be answered by using either Statement alone
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
(d) The Question cannot be answered even by using both the Statements together
other Statement alone
Show Answer
Ans: (c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
17] A Question is given followed by two Statements I and II. Consider the Question and the Statements.
Question:
What are the unique values of x and y, where x, y are distinct natural numbers?
Statement—I: x/ y is odd.
Statement—II: xy = 12
Which one of the following is correct in respect of the above Question and the Statements? [2024/64]
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
(b) The Question can be answered by using either Statement alone
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
(d) The Question cannot be answered even by using both the Statements together
Show Answer
Ans: (c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
18] A Question is given followed by two Statements I and II. Consider the Question and the Statements.
A certain amount was distributed among X, Y and Z.
Question:
Who received the least amount?
Statement—I:
X received 4/5 of what Y and Z together received.
Statement—II:
Y received 2/7 of what X and Z together received.
Which one of the following is correct in respect of the above Question and the Statements? [2024/65]
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
(b) The Question can be answered by using either Statement alone
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
(d) The Question cannot be answered even by using both the Statement together
Show Answer
Ans: (c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
19] A Question is given followed by two Statements I and II. Consider the Question and the Statements.
Question:
If the average marks in a class are 60, then what is the number of students in the class?
Statement—I:
The highest marks in the class are 70 and the lowest marks are 50.
Statement—II
Exclusion of highest and lowest marks from the class does not change the average.
Which one of the following is correct in respect of the above Question and the Statements? [2024/66]
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
(b) The Question can be answered by using either Statement alone
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
(d) The Question cannot be answered even by using both the Statements together
Show Answer
Ans: (d) The Question cannot be answered even by using both the Statements together
20] A Question is given followed by two Statements I and II. Consider the Question and the Statements.
There are three distinct prime numbers whose sum is a prime number.
Question:
What are those three numbers?
Statement—I: Their sum is less than 23.
Statement—II: One of the numbers is 5.
Which one of the following is correct in respect of the above Question and the Statements? [2024/67]
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
(b) The Question can be answered by using either Statement alone
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
(d) The Question cannot be answered even by using both the Statements together
Show Answer
Ans: (a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
21] A Question is given followed by two Statements I and II. Consider the Question and the Statements.
Question: Is (x + y) an integer?
Statement—I: (2x + y) is an integer.
Statement—II: (x + 2y) is an integer.
Which one of the following is correct in respect of the above Question and the Statements? [2024/68]
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
(b) The Question can be answered by using either Statement alone
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
(d) The Question cannot be answered even by using both the Statements together
Show Answer
Ans: (d) The Question cannot be answered even by using both the Statements together
22] 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 rupees 50. The price of the article q is rupees 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? [2024/69]
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
(b) The Question can be answered by using either Statement alone
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
(d) The Question cannot be answered even by using both the Statements together
Show Answer
Ans: (c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
23] A Question is given followed by two Statements I and II. Consider the Question and the Statements.
P, Q, R and S appeared in a test.
Question:
Has p scored more marks than Q?
Statement—I:
The sum of the marks scored by P and Q is equal to the sum of the marks scored by R and S
Statement—II:
The sum of the marks scored by P and S is more than the sum of the marks scored by Q and R
Which one of the following is correct in respect of the above Question and the Statements? [2024/70]
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
(b) The Question can be answered by using either Statement alone
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
(d) The Question cannot be answered even by using both the Statements together
Show Answer
Ans: (d) The Question cannot be answered even by using both the Statements together
24] A Question is given followed by two Statements I and II. Consider the Question and the Statements.
Age of each of P and Q is less than 100 years but more than 10 years. If you interchange the digits of the age of P, the number represents the age of Q.
Question:
What is the difference of their ages?
Statement—I:
The age of p is greater than the age of Q.
Statement—II:
The sum of their ages is 11/6 times their difference.
Which one of the following is correct in respect of the above Question and the Statements? [2024/73]
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
(b) The Question can be answered by using either Statement alone
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
(d) The Question cannot be answered even by using both the Statements together
Show Answer
Ans: (a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
25] Question: Is p greater than q?
Statement-1: p × q is greater than zero.
Statement-2: is greater than
Which one of the following is correct in respect of the above Question and the Statements? [2023/56]
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone.
(b) The Question can be answered by using either Statement alone.
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
(d) The Question cannot be answered even by using both the Statements together.
Show Answer
Ans: (d) The Question cannot be answered even by using both the Statements together.
26] Question: Is (p + q – r) greater than (p – q + r), where p, q and r are integers?
Statement 1: (p-q) is positive
Statement-2: (p-r) is negative.
Which one of the following is correct in respect of the above Question and the Statements? [2023/57]
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone.
(b) The Question can be answered by using either Statement alone.
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
(d) The Question cannot be answered even by using both the Statements together.
Show Answer
Ans: (c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
27] 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.
Question: How many persons attended the party?
Statement-1: 50 persons took milk.
Statement-2: Number of persons who attended the party is five times the number of persons who took milk only.
Which one of the following is correct in respect of the above Question and the Statements? [2023/58]
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone.
(b) The Question can be answered by using either Statement alone.
(c) The Question can be answered by using both the Statements together, but cannot he answered using either Statement alone.
(d) The Question cannot be answered even by using both the Statements together.
Show Answer
Ans: (a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone.
28] Consider a 3-digit number.
Question: What is the number?
Statement-1: The sum of the digits of the number is equal to the product of the digits.
Statement-2: The number is divisible by the sum of the digits of the number.
Which one of the following is correct in respect of the above Question and the Statements? [2023/59]
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone.
(b) The Question can be answered by using either Statement alone.
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
(d) The Question cannot be answered even by using both the Statement together.
Show Answer
Ans: (d) The Question cannot be answered even by using both the Statement together.
29] For five children with ages a < b < c < d < e; any two successive ages differ by 2 years.
Question: What is the age of the youngest child?
Statement-1: The age of the eldest is 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 statement? [2023/60]
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone.
(b) The Question can be answered by using either Statement alone.
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
(d) The Question cannot be answered even by using both the Statements together.
Show Answer
Ans: (b) The Question can be answered by using either Statement alone.
30] Consider the Question and two Statements given below:
Question: Is x an integer?
Statement—1: x / 3 is not an integer.
Statement—2: 3x is an integer.
Which one of the following is correct in respect of the Question and the Statements? [2022/19]
(a) Statement—1 alone is sufficient to answer the Question
(b) Statement—2 alone is sufficient to answer the Question
(c) Both Statement-1 and Statement-2 are sufficient to answer the Question
(d) Both Statement-1 and Statement-2 are not sufficient to answer the Question
Show Answer
Ans: (d) Both Statement-1 and Statement-2 are not sufficient to answer the Question
31] Consider the Question and Two statements given below:
Question: Is Z brother of X?
Statement-1: X is a brother of Y and Y is a brother of Z.
Statement-2: X, Y and Z are siblings.
Which one of the following is correct in respect of the Question and the Statements? [2022/25]
(a) Statement-1 alone is sufficient to answer the Question
(b) Statement-2 alone is sufficient to answer the Question
(c) Both Statement-1 and Statement-2 are sufficient to answer the Question
(d) Both Statement-1 and Statement-2 are not sufficient to answer the Question
Show Answer
Ans: (d) Both Statement-1 and Statement-2 are not sufficient to answer the Question
32] Consider the Question and two Statements given below in respect of three cities P, Q and R in a State:
Question: How far is city P from city Q?
Statement-1 : City Q is 18 km from city R
Statement-2 : City P is 43 km from City R.
Which one of the following is correct in respect of the Question and the Statements? [2022/37]
(a) Statement-1 alone is sufficient to answer the Question
(b) Statement-2 alone is sufficient to answer the Question
(c) Both Statement-1 and Statement-2 are sufficient to answer the Question
(d) Both Statement-1 and Statement-2 are not sufficient to answer the Question
Show Answer
Ans: (d) Both Statement-1 and Statement-2 are not sufficient to answer the Question
33] Consider the Question and two Statements given below:
Question: What is the age of Manisha?
Statement—1: Manisha is 24 years younger than her mother.
Statement—2: 5 years later, the ages of Manisha and her mother will be in the ratio 3:5.
Which one of the following is correct in respect of the Question and the Statements? [2022/49]
(a) Statement—1 alone is sufficient to answer the Question
(b) Statement—2 alone is sufficient to answer the Question
(c) Both Statement—1 and Statement—2 are sufficient to answer the Question
(d) Both Statement—1 and Statement—2 are not sufficient to answer the Question
Show Answer
Ans: (c) Both Statement—1 and Statement—2 are sufficient to answer the Question
34] Six lectures A, B. C, D, E and F, each of one hour duration, are scheduled between 8:00 a.m. and 2:00 p.m.
Consider the Question and two Statements given below:
Question: Which lecture is in the third period?
Statement—1 : Lecture F is preceded by A and followed by C.
Statement—2 : There is no lecture after lecture B.
Which one of the following is correct in respect of the Question and the Statements? [2022/50]
(a) Statement—1 alone is sufficient to answer the Question
(b) Statement—2 alone is sufficient to answer the Question
(c) Both Statement—1 and Statement—2 are sufficient to answer the Question
(d) Both Statement—1 and Statement—2 are not sufficient to answer the Question
Show Answer
Ans: (d) Both Statement—1 and Statement—2 are not sufficient to answer the Question
35] A Statement followed by Conclusion-I and Conclusion-II is given below. You have to take the Statement to be true even if it seems to be at variance from the commonly known facts.
Read all Conclusions and then decide which of the given Conclusion(s) logically follows/follow from the Statement, disregarding the commonly known facts.
Statement: Some radios are mobiles. All mobiles are computers. Some computers are watches.
Conclusion-I: Certainly, some radios are watches.
Conclusion-II: Certainly, some mobiles are watches.
Which one of the following is correct? [2021/10]
(a) Only Conclusion-I
(b) Only Conclusion-II
(c) Both Conclusion-I and Conclusion-II
(d) Neither Conclusion-I nor Conclusion-II
Show Answer
Ans: (d) Neither Conclusion-I nor Conclusion-II
36] A Statement followed by Conclusion-I and Conclusion-II is given below. You have to take the Statement to be true even if it seems to be ” at variance from the commonly known facts. Read all Conclusions and then decide which of the given Conclusion(s) logically follows/follow from the Statement, disregarding the commonly known facts.
Statement: Some cats are almirahs. Some almirahs are chairs. All chairs are tables.
Conclusion-I: Certainly, some almirahs are tables.
Conclusion-II: Some cats may not be chairs. Which one of the following is correct? [2021/15]
(a) Only Conclusion-I
(b) Only Conclusion-II
(c) Both Conclusion-I and Conclusion-II
(d) Neither Conclusion-I nor Conclusion-II
Show Answer
Ans: (c) Both Conclusion-I and Conclusion-II
37] Consider two Statements and a Question:
Statement-1: Priya is 4 ranks below Seema and is 31st from the bottom.
Statement-2: Ena is 2 ranks above Seema and is 37th from the bottom.
Question: What is Seema’s rank from the top in the class of 40 students?
Which one of the following is correct in respect of the Statements and the Question? [2021/38]
(a) Statement-1 alone is not sufficient to answer the Question
(b) Statement-2 alone is not sufficient to answer the Question
(c) Either Statement-1 alone or Statement-2 alone is sufficient to answer the Question
(d) Both Statement-1 and Statement-2 are required to answer the Question
Show Answer
Ans: (c) Either Statement-1 alone or Statement-2 alone is sufficient to answer the Question
38] Consider two Statements and a Question:
Statement-1: Each of A and D is heavier than each of B, E and F, but none of them is the heaviest.
Statement-2: A is heavier than D, but is lighter than C.
Question: Who is the heaviest among A, B, C, D and E?
Which one of the following is correct in respect of the Statements and the Question? [2021/39]
(a) Statement-1 alone is sufficient to answer the Question
(b) Statement-2 alone is sufficient to answer the Question
(c) Both Statement-1 and Statement-2 are required to answer the Question
(d) Neither Statement-1 alone nor Statement-2 alone is sufficient to answer the Question
Show Answer
Ans: (cd)
39] Consider two Statements and a Question:
Statement-1: The last day of the month is a Wednesday.
Statement-2: The third Saturday of the month was the seventeenth day.
Question: What day is the fourteenth of the given month?
Which one of the following is correct in respect of the Statements and the Question? [2021/47]
(a) Statement-1 alone is sufficient to answer the Question
(b) Statement-2 alone is sufficient to answer the Question
(c) Both Statement-1 and Statement-2 are required to answer the Question
(d) Neither Statement-1 alone nor Statement-2 alone is sufficient to answer the Question
Show Answer
Ans: (b) Statement-2 alone is sufficient to answer the Question
40] Two statements S1 and S2 are given below followed by a Question:
S1: There are not more than two figures on any page of a 51-page book
S2: There is at least one figure on every page.
Question:
Are there more than 100 figures in that book?
Which one of the following is correct in respect of the above Statements and the Question? [2020/17]
(a) Both S1 and S2 are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.
(b) S1 alone is sufficient to answer the Question.
(c) S1 and S2 together are not sufficient to answer the Question.
(d) S2 alone is sufficient to answer the Question.
Show Answer
Ans: (c) S1 and S2 together are not sufficient to answer the Question.
41] Two Statements S1 and S2 are given below with regard to four numbers P, Q, R and S followed by a Question:
S1: R is greater-than P as well as Q.
S2: S is not the largest one.
Among four numbers P, Q, R and S which one is the largest?
Which one of the following is correct in respect of the above Statements and the Question? [2020/28]
(a) S1 alone is sufficient to answer the Question.
(b) S2 alone is sufficient to answer the Question.
(c) S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.
(d) S1 and S2 together are not sufficient to answer the Question.
Show Answer
Ans: (c) S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.
42] Two Statements S1 and S2 are given below followed by a Question:
S1: n is a prime number.
S2: n leaves a remainder of 1 when divided by 4.
If n is a unique natural number between 10 and 20, then what is n?
Which one of the following is correct in respect of the above Statements and the Question? [2020/29]
(a) S1 alone is sufficient to answer the Question.
(b) S2 alone is sufficient to answer the Question.
(c) S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.
(d) S1 and S2 together are not sufficient to answer the Question.
Show Answer
Ans: (d) S1 and S2 together are not sufficient to answer the Question.
43] Two Statements S1 and S2 are given below with regard to two numbers followed by a Question:
S1: Their product is 21.
S2: Their sum 10.
Question:
What are the two numbers?
Which one of the following is correct in respect of the above Statements and the Question? [2020/30]
(a) S1 alone is sufficient to answer the Question.
(b) S2 alone is sufficient to answer the Question.
(c) S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.
(d) S1 and S2 together are not sufficient to answer the Question.
Show Answer
Ans: (c) S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.
44] Three Statements S1, S2 and S3 are given below followed by a Question:
S1: C is younger than D, but older than A and B.
S2: D is the oldest.
S3: A is older than B.
Question:
Who among A, B, C and D is the youngest?
Which one of the following is correct in respect of the above Statements and the Question? [2020/36]
(a) S1 alone is sufficient to answer the Question.
(b) S1 and S2 together are sufficient to answer the Question.
(c) S2 and S3 together are sufficient to answer the Question.
(d) S1 and S3 together are sufficient to answer the Question.
Show Answer
Ans: (d) S1 and S3 together are sufficient to answer the Question.
45] A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor. Consider the following statements:
1. The middle three floors are painted in different colours.
2. The second (II) and the fourth (IV) floors are painted in different colours.
3. The first (I) and the fifth (V) floors are painted red.
To ensure that any two consecutive floors have different colours [2019/29]
(a) Only statement 2 is sufficient
(b) Only statement 3 is sufficient
(c) Statement 1 is not sufficient, but statement 1 along with statement 2 is sufficient
(d) Statement 3 is not sufficient, but statement 3 along with statement 2 is sufficient.
Show Answer
Ans: (b) Only statement 3 is sufficient
46] Consider two statements Sl and S2 followed by a question:
S l: p and q both are prime numbers.
S2: p + q is an odd integer.
Question: Is pq an odd integer?
Which one of the following is correct? [2019/58]
(a) Sl alone is sufficient to answer the question
(b) S2 alone is sufficient to answer the question
(c) Both Sl and S2 taken together are not sufficient to answer the question
(d) Both Sl and S2 are necessary to answer the question
Show Answer
Ans: (b) S2 alone is sufficient to answer the question
47] Consider the following:
Statement: Good voice is a natural gift but one has to keep practising to improve and excel well in the field of music.
Conclusions:
I. Natural gifts need nurturing and care.
II. Even though one’s voice is not good; one can keep practising.
Which one of the following is correct, in respect of the above statement and conclusions? [2017/15]
(a) Only conclusion I follows from the statement.
(b) Only conclusion II follows from the statement.
(c) Either conclusion I or conclusion II follows from the statement.
(d) Neither conclusion I nor conclusion II follows from the statement.
Show Answer
Ans: (a) Only conclusion I follows from the statement.
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