CAT DILR MCQs on Data Sufficiency: CAT Questions for Practice with Solutions

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Chanpreet Kaur

Content Writer | MBA Professional | Updated on - Nov 26, 2025

The CAT DILR section requires good analysis skills, critical thinking, and attention to detail, along with a thorough understanding of the Data Sufficiency. This article provides a set of MCQs on Data Sufficiency to help you understand the topic and enhance your data interpretation and logical reasoning with the help of detailed solutions, which will help you in the CAT 2025 exam preparation.

Whether you're revising the basics or testing your knowledge, these MCQs will serve as a valuable practice resource.

The CAT 2025 exam is expected to follow a similar trend to the CAT 2024, with 24 questions from the VARC section out of a total of 68 questions.

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CAT MCQs on Data Sufficiency

1. If both \(ABDC\) and \(CPDFE\) are parallelograms, what is \(q + r\)?

(1) r = 70◦
(2) p = 110◦

A
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C
BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
D
EACH statement ALONE is sufficient.

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2. A certain stadium is currently full to \(\frac{13}{16}\) of its maximum seating capacity. What is the maximum seating capacity of the stadium?

(1) If 1,250 people were to enter the stadium, it would be full to \(\frac {15}{16}\) of its maximum seating capacity.
(2) If 2,500 people were to leave the stadium, it would be full to \(\frac {10}{16}\) of its maximum seating capacity.

A
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C
BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
D
EACH statement ALONE is sufficient.

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3. If \(n\) is an integer, is \(n\) even?

(1) 2n is an even integer.
(2) n − 1 is an odd integer.

A
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C
BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
D
EACH statement ALONE is sufficient.

View Solution


4. What is the value of \(x\)?

(1) \(x^2 − 5x + 4 = 0\)
(2) \(x\) is not prime.

A
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C
BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
D
Statements (1) and (2) TOGETHER are NOT sufficient.

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5. A fish tank contains a number of fish, including 5 Fantails. If two fish are selected from the tank at random, what is the probability that both will be Fantails?

(1) The probability that the first fish chosen will be a Fantail is \(\frac 12\) .
(2) The probability that the second fish chosen will be a Fantail is \(\frac 49\) .

A
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C
BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
D
EACH statement ALONE is sufficient.

View Solution


6. In a particular school, sixty students were athletes. Ten among them were also among the top academic performers. How many top academic performers were in the school?
A: Sixty per cent of the top academic performers were not athletes.
B: All the top academic performers were not necessarily athletes.
A
if the question can be answered using the statement A alone but not by using the statement B alone.
B
if the question can be answered using the statement B alone but not by using the statement A alone.
C
if the question can be answered using either of the statements alone.
D
if the question can be answered using both the statements together but not by either of the statements alone.

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7. Five students Atul, Bala, Chetan, Dev and Ernesto participated in a quiz contest. They were ranked based on scores. Dev ranked higher than Ernesto; Bala ranked higher than Chetan; Chetan’s rank was lower than median. Who got the highest rank?
A: Atul was the last rank holder.
B: Bala was not among the top two rank holders.
A
if the question can be answered using A alone but not by using B alone.
B
if the question can be answered using B alone but not by using A alone.
C
if the question can be answered using either of the statements alone.
D
if the question can be answered using both the statements together but not by either of the statements alone.

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8. Thirty per cent of the employees of a call centre are males. Ten per cent of the female employees have an engineering background. What is the percentage of male employees with engineering background?
A: Twenty five per cent of the employees have engineering background.
B: Number of male employees with engineering background is 20% more than the number of female employees with engineering background.
A
if the question can be answered using A alone but not by using B alone.
B
if the question can be answered using B alone but not by using A alone.
C
if the question can be answered using either of the statements alone.
D
if the question can be answered using both the statements together but not by either of the statements alone.

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9. In a football match, at half-time, Mahindra and Mahindra Club was trailing by three goals. Did it win the match?
A: In the second-half Mahindra and Mahindra Club scored four goals. \ B: The opponent scored four goals in the match.
A
if the question can be answered using A alone but not by using B alone.
B
if the question can be answered using B alone but not by using A alone.
C
if the question can be answered using either of the statements alone.
D
if the question can be answered using both the statements together but not by either of the statements alone.

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10. In a cricket match, the ‘Man of the Match’ award is given to the player scoring the highest number of runs. In case of a tie, the player (out of those locked in the tie) who has taken the higher number of catches is chosen. Even thereafter if there is a tie, the player (out of those locked in the tie) who has dropped fewer catches is selected. Aakash, Biplab, and Chirag who were contenders for the award dropped at least one catch each. Biplab dropped two catches more than Aakash did, scored 50, and took two catches. Chirag got two chances to catch and dropped both. Who was the ‘Man of the Match’?
Statement A
A. Chirag made 15 runs less than both Aakash and Biplab.
Statement B
B. The catches dropped less by Biplab are 1 more than the catches taken by Aakash.
A
Statement A alone is sufficient but not Statement B.
B
Statement B alone is sufficient but not Statement A
C
Either Statement A or Statement B alone is sufficient.
D
Both statements together are necessary but not by either statement alone.

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11. Four friends — A, B, C, and D got the top four ranks in a competitive examination, but A did not get the first, B did not get the second, C did not get the third, and D did not get the fourth rank. Who secured which rank?
Statement A
A. Neither A nor D were among the first 2.
Statement B
B. Neither B nor C was third or fourth.
A
Statement A alone is sufficient but not Statement B.
B
Statement B alone is sufficient but not Statement A
C
Either Statement A or Statement B alone is sufficient.
D
Both statements together are necessary but not by either statement alone.

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12. The members of a local club contributed equally to pay Rs. 600 towards a donation. How much did each one pay?
Statement A
A. If there had been five fewer members, each one would have paid an additional Rs. 10.
Statement B
B. There were at least 20 members in the club, and each one paid not more than Rs. 30.
A
Statement A alone is sufficient but not Statement B.
B
Statement B alone is sufficient but not Statement A
C
Either Statement A or Statement B alone is sufficient.
D
Both statements together are necessary but not by either statement alone.

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13. A family has only one kid. The father says, “After ‘n’ years, my age will be 4 times the age of my kid.” The mother says, “After ‘n’ years, my age will be 3 times that of my kid.” What will be the combined ages of the parents after ‘n’ years?
Statement A
A. The age difference between the parents is 10 years.
Statement B
B. After ‘n’ years the kid is going to be twice as old as she is now.
A
Statement A alone is sufficient but not Statement B.
B
Statement B alone is sufficient but not Statement A
C
Either Statement A or Statement B alone is sufficient.
D
Both statements together are necessary but not by either statement alone.

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14. Zakib spends 30% of his income on children's education, 20% on recreation and 10% on healthcare. The corresponding percentage for Supriyo are 40%, 25%, and 13%. Who spends more on children's education?
A. Zakib spends more on recreation than Supriyo.
B. Supriyo spends more on healthcare than Zakib.
A
The question can be answered by using one of the statements alone but not by using the other statement alone
B
The question can be answered by using either of the statements alone
C
The question can be answered by using both statements together but not by either statement alone
D
The question cannot be answered on the basis of the two statements

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15. Four candidates for an award obtain distinct scores in a test. Each of the four casts a vote to choose the winner. The candidate who gets the largest number of votes wins the award. In case of a tie, the candidate with the highest score wins. Who wins the award?
A. The candidates with the top three scores each vote for the top scorer amongst the other three.
B. The candidate with the lowest score votes for the player with the second highest score.
A
The question can be answered by using one of the statements alone but not by using the other statement alone
B
The question can be answered by using either of the statements alone
C
The question can be answered by using both statements together but not by either statement alone
D
The question cannot be answered on the basis of the two statements

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