# Data Sufficiency Previous Year Questions (CAT) - Set 0011

• 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.

What is the length of rectangle ABCD?

A. Area of the rectangle is 48 square units.

B. Length of the diagonal is 10 units.

( CAT 1995 )

• 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.

What is the number x?

A. The LCM of x and 18 is 36.

B. The HCF of x and 18 is 2.

( CAT 1995 )

• 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.

Is x + y â z + t even ?

A. x + y + t is even.

B. t and z are odd.

( CAT 1995 )

• 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.

Is the distance from the office to home less than the distance from the cinema hall to home?

A. The time taken to travel from home to office is as much as the time taken from home to the cinema hall, both distance being covered without stopping.

B. The road from the cinema hall to home is bad and speed reduces, as compared to that on the road from home to the office.

( CAT 1994 )

• 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.

A and B work at digging a ditch alternately for a day each. If A can dig a ditch in ‘a’ days and B can dig in ‘b’ days, will work get done faster if A begins the work?

A. n is a positive integer such that n (1/a + 1/b ) = 1

B. b > a

( CAT 1994 )

• 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.

If twenty sweets are distributed among some boys and girls such that each girl gets two sweets and each boy gets three sweets, what is the number of boys and girls?

A. The number of girls is not more than five.

B. If each girl gets 3 sweets and each boy gets 2 sweets, the number of sweets required for the children will still be the same.

( CAT 1994 )

• 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.

If the selling price were to be increased by 10%, the sales would reduce by 10%. In what ratio would profits change ?

A. The cost price remains constant.

B. The cost price increased 10%.

( CAT 1994 )

• 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.

What is the average weight of the 3 new team members who are recently included into the team?

A. The average weight of the team increases by 20 kg.

B. The 3 new men substitute earlier members whose weights are 64 kg, 75 kg and 66 kg.

( CAT 1994 )

• Question 9

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(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.

Is segment PQ greater than segment RS ?

A. PB > RE, BQ = ES.

B. B is a point on PQ, E is a point on RS.

( CAT 1994 )

• 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.

Three boys had a few coffee Bite toffees with them. The number of toffees with the second were four more than those with the first and the number of toffees with the third were four more than those with the second. How many toffees were there in all?

A. The number of toffees with each of them is a multiple of 2.

B. The first boy ate up four toffees from what he had and the second boy ate up six toffees from what had and the third boy gave them two toffees each from what he had and the number of toffees remaining with each of them formed a geometric progression.

( CAT 1994 )

21

21

6

11

11

6

11

21