# Data Sufficiency Previous Year Questions (CAT) - Set 0009

• Previous years`s CAT questions: Data Sufficiency

Post your solutions as reply to respective questions below.

• 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 ratio of the volume of the given right circular cone to the one obtained from it?

A. The smaller cone is obtained by passing a plane parallel to the base and dividing the original height in the ratio 1 : 2.

B. The height and the base of the new cone are one-third those of the original cone.

( CAT 1997 )

• 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 area bounded by the two lines and the coordinate axes in the first quadrant?

A. The lines intersect at a point which also lies on the lines 3x â 4y = 1 and 7x â 8y = 5.

B. The lines are perpendicular, and one of them intersects the Y-axis at an intercept of 4.

( CAT 1997 )

• 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.

What is the cost price of the chair?

A. The chair and the table are sold at profits of 15% and 20% respectively.

B. If the cost price of the chair is increased by 10% and that of the table is increased by 20%, the profit reduces by Rs. 20.

( CAT 1991 )

• 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.

After what time will the two persons Tez and Gati meet while moving around the circular track? Both of them start at the same point and at the same time.

A. Tez moves at a constant speed of 5 m/s, while Gati starts at a speed of 2 m/s and increases his speed by 0.5 m/s at the end of every second thereafter.

B. Gati can complete one entire lap in exactly 10 s.

( CAT 1997 )

• 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 tractor travelled a distance 5 m. What is the radius of the rear wheel?

I. The front wheel rotates ‘N’ times more than the rear wheel over this distance.

II. The circumference of the rear wheel is ‘t’ times that of the front wheel.

( CAT 1996 )

• 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.

What is the ratio of the two liquids A and B in the mixture finally, if these two liquids kept in three vessels are mixed together? (The containers are of equal volume)

A. The ratio of liquid A to liquid B in the first & second vessel is 3 : 5, 2 : 3 respectively.

B. The ratio of liquid A to liquid B in vessel 3 is 4 : 3.

( CAT 1996 )

• 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 a, b and c are integers, is (a â b + c) > (a + b â c) ?

A. b is negative.

B. c is positive.

( CAT 1996 )

• 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. ( CAT 1996 )

• 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.

What is the cost price of the article ?

A. After selling the article, a loss of 25% on cost price is incurred.

B. The selling price is three-fourths of the cost price.

( CAT 1996 )

• 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 selling price of the article ?

A. The profit on sales is 20%.

B. The profit on each unit is 25% and the cost price is Rs. 250.

( CAT 1996 )

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