Data Sufficiency Previous Year Questions (CAT) - Set 0001

• Previous years`s CAT questions: Data Sufficiency

• Question 1

(1) question can be answered from statement A alone but not by using the statement B alone.
(2) question can be answered from statement B alone but not by using the statement A alone.
(3) question can be answered by using either of the statements alone.
(4) question can be answered by using both the statements but not by either of the statements alone.
(5) question cannot be answered on the basis of the two statements.

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 having an engineering background is 20% more than the number of female employees having an engineering background.

(CAT 2007)

• Question 2

(1) question can be answered from statement A alone but not by using the statement B alone.
(2) question can be answered from statement B alone but not by using the statement A alone.
(3) question can be answered by using either of the statements alone.
(4) question can be answered by using both the statements but not by either of the statements alone.
(5) question cannot be answered on the basis of the two statements.

The average weight of a class of 100 students is 45 kg. The class consists of two sections, I and II, each with 50 students. The average weight, WI, of Section I is smaller than the average weight, WII, of Section II. If the heaviest student, say Deepak, of Section II is moved to Section I, and the lightest student, say Poonam, of Section I is moved to Section II, then the average weights of the two sections are switched, i.e., the average weight of Section I becomes WII and that of Section II becomes WI. What is the weight of Poonam?

A. WII– WI = 1.0

B. Moving Deepak from Section II to I (without any move from I to II) makes the average weights of the two sections equal.

(CAT 2007)

• Question 3

(1) question can be answered from statement A alone but not by using the statement B alone.
(2) question can be answered from statement B alone but not by using the statement A alone.
(3) question can be answered by using either of the statements alone.
(4) question can be answered by using both the statements but not by either of the statements alone.
(5) question cannot be answered on the basis of the two statements.

Consider integers x, y and z. What is the minimum possible value of x2+ y2+ z2

A. x + y + z = 89

B. Among x, y, z two are equal.

(CAT 2007)

• Question 4

(1) question can be answered from statement A alone but not by using the statement B alone.
(2) question can be answered from statement B alone but not by using the statement A alone.
(3) question can be answered by using either of the statements alone.
(4) question can be answered by using both the statements but not by either of the statements alone.
(5) question cannot be answered on the basis of the two statements.

Rahim plans to draw a square JKLM with a point O on the side JK but is not successful. Why is Rahim unable to draw the square?

A. The length of OM is twice that of OL.

B. The length of OM is 4 cm.

(CAT 2007)

• Question 5

(1) question can be answered from statement A alone but not by using the statement B alone.
(2) question can be answered from statement B alone but not by using the statement A alone.
(3) question can be answered by using either of the statements alone.
(4) question can be answered by using both the statements but not by either of the statements alone.
(5) question cannot be answered on the basis of the two statements.

ABC Corporation is required to maintain at least 400 Kilolitres of water at all times in its factory, in order to meet safety and regulatory requirements. ABC is considering the suitability of a spherical tank with uniform wall thickness for the purpose. The outer diameter of the tank is 10 meters. Is the tank capacity adequate to meet ABC’s requirements?

A. The inner diameter of the tank is at least 8 meters.

B. The tank weighs 30,000 kg when empty, and is made of a material with density of  3 gm/cc.

(CAT 2007)

• Question 6

(1) question can be answered from statement A alone but not by using the statement B alone.
(2) question can be answered from statement B alone but not by using the statement A alone.
(3) question can be answered by using either of the statements alone.
(4) question can be answered by using both the statements but not by either of the statements alone.
(5) question cannot be answered on the basis of the two statements.

In a football match, at half-time, Mahindra & Mahindra Club was trailing by three goals. Did it win the match?

A. In the second half Mahindra & Mahindra Club scored four goals.

B. The opponent scored four goals in the match.

(CAT 2007)

• Question 7

(1) question can be answered from statement A alone but not by using the statement B alone.
(2) question can be answered from statement B alone but not by using the statement A alone.
(3) question can be answered by using either of the statements alone.
(4) question can be answered by using both the statements but not by either of the statements alone.
(5) question cannot be answered on the basis of the two statements.

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.

(CAT 2007)

• Question 8

(1) question can be answered from statement A alone but not by using the statement B alone.
(2) question can be answered from statement B alone but not by using the statement A alone.
(3) question can be answered by using either of the statements alone.
(4) question can be answered by using both the statements but not by either of the statements alone.
(5) question cannot be answered on the basis of the two statements.

Five students Atul, Bala, Chetan, Dev and Ernesto were the only ones who participated in a quiz contest. They were ranked based on their scores in the contest. Dev got a higher rank as compared to Ernesto, while Bala got a higher rank as compared to Chetan. Chetan’s rank was lower than the median. Who among the five got the highest rank?

A. Atul was the last rank holder.

B. Bala was not among the top two rank holders.

(CAT 2007)

• Question 9

In a single elimination tournament, any player is eliminated with a single loss. The tournament is played in multiple rounds subject to the following rules:

(Rule 1) : If the number of players, say n, in any round is even, then the players are grouped in to n/2 pairs. The players in each pair play a match against each other and the winner moves on to the next round.

(Rule 2) : If the number of players, say n, in any round is odd, then one of them is given a bye, that is, he automatically moves on to the next round. The remaining  (n −1) players are grouped into (n −1)/2 pairs. The players in each pair play a match against each other and the winner moves on to the next round. No player gets more than one bye in the entire tournament.

Thus, if n is even, then n/2 players move on to the next round while if n is odd, then (n + 1)/2 players move on to the next round. The process is continued till the final round, which obviously is played between two players. The winner in the final round is the champion of the tournament.

Mark (1) if Q can be answered from A alone but not from B alone.
Mark (2) if Q can be answered from B alone but not from A alone.

Mark (3) if Q can be answered from A alone as well as from B alone.
Mark (4) if Q can be answered from A and B together but not from any of them alone.
Mark (5) if Q cannot be answered even from A and B together.

1) What is the number of matches played by the champion?

A: The entry list for the tournament consists of 83 players.

B: The champion received one bye.

2) If the number of players, say n, in the first round was between 65 and 128, then what is the exact value of n?

A: Exactly one player received a bye in the entire tournament.

B: One player received a bye while moving on to the fourth round from third round

(CAT 2008 )

• Question 10

(1) question can be answered from statement A alone but not by using the statement B alone.
(2) question can be answered from statement B alone but not by using the statement A alone.
(3) question can be answered by using either of the statements alone.
(4) question can be answered by using both the statements but not by either of the statements alone.
(5) question cannot be answered on the basis of the two statements.

Ravi spent less than Rs.75 to buy one kilogram each of potato, onion, and gourd. Which one of the three vegetables bought was the costliest?Â

A. 2 kg potato and 1 kg gourd cost less than 1 kg potato and 2 kg gourd.

B. 1 kg potato and 2 kg onion together cost the same as 1 kg onion and 2 kg gourd.

(CAT 2004)

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