# Data Sufficiency Previous Year Questions (CAT) - Set 0008

• 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.

There are four racks numbered 1, 2, 3, 4 and four books numbered 1, 2, 3, 4. If an even rack has to contain an odd-numbered book and an odd rack contains an even-numbered book, then what is the position of book 4?

A. Second book has been put in third rack.

B. Third book has been put in second rack.

( CAT 1998 )

• 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.

Find the value of X in terms of ‘a’.

A. Arithmetic mean of X and Y is ’a’ while the geometric mean is also ‘a’.

B. X/Y = R; X – Y = D.

( CAT 1998 )

• 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.

There are two concentric circles C1 and C2 with radii r1 and r2. The circles are such that C1 fully encloses C2. Then what is the radius of C1 ?

A. The difference of their circumference is k cm.

B. The difference of their areas is m sq. cm.

( CAT 1998 )

• 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.

A circle circumscribes a square. What is the area of the square?

A. Radius of the circle is given.

B. Length of the tangent from a point 5 cm away from the centre of the circle is given.

( CAT 1998 )

• 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.

What is the value of a3 + b3 ?

A. a2 + b2 = 22

B. ab = 3

( CAT 1998 )

• 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.

Is the number completely divisible by 99 ?

A. The number is divisible by 9 and 11 simultaneously.

B. If the digits of the number are reversed, the number is divisible by 9 and 11.

( CAT 1997 )

• 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.

A person is walking from Mali to Pali, which lies to its north-east. What is the distance between Mali and Pali?

A. When the person has covered 1/3rd the distance, he is 3 km east and 1 km north of Mali.

B. When the person has covered 2/3rd the distance, he is 6 km east and 2 km north of Mali.

( CAT 1997 )

• 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 value of x and y ?

A. 3x + 2y = 45

B. 10.5x + 7y = 157.5

( CAT 1997 )

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• Question 9

(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 friends P, Q and R are wearing hats, either black or white. Each person can see the hats of the other two persons. What is the colour of P's hat?

A. P says that he can see one black hat and one white hat.

B. Q says that he can see one white hat and one black hat.

( CAT 1991 )

• 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.

What is the speed of the car?

A. The speed of a car is 10 (km/hr) more than that of a motorcycle.

B. The motorcycle takes 2 hr more than the car to cover 100 km.

( CAT 1991 )

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