Data Sufficiency Previous Year Questions (CAT) - Set 0010

• 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.

How many different triangles can be formed ?

A. There are 16 coplanar, straight lines.

B. No two lines are parallel.

( CAT 1996 )

• 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 total worth of Lakhiram's assets ?

A. A compound interest at 10% on his assets, followed by a tax of 4% on the interest, fetches him Rs. 1,500 this year.

B. The interest is compounded once every four months.

( CAT 1996 )

• 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.

How old is Sachin in 1997 ?

A. Sachin is 11 years younger than Anil whose age will be a prime number in 1998.

B. Anil's age was a prime number in 1996.

( CAT 1996 )

• 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.

What is the number of type-2 widgets produced, if the total number of widgets produced is 20,000?

A. If the production of type-1 widgets increases by 10% and that of type-2 decreases by 6%, the total production remains the same.

B. The ratio in which type-1 and type-2 widgets are produced is 2 : 1.

( CAT 1996 )

• 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.

If x, y and z are real numbers, is z â x even or odd ?

A. xyz is odd.

B. xy + yz + zx is even.

( CAT 1995 )

• 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 value of x, if x and y are consecutive positive even integers ?

A. (x â y)2 = 4

B. (x + y)2 < 100

( CAT 1995 )

• 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.

What is the profit percentage ?

A. The cost price is 80% of the selling price.

B. The profit is Rs. 50.

( CAT 1995 )

• 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 area of the triangle ?

A. Two sides are 41 cm each.

B. The altitude to the third side is 9 cm long.

( CAT 1995 )

• 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 price of bananas ?

A. With Rs. 84, I can buy 14 bananas and 35 oranges.

B. If price of bananas is reduced by 50%, then we can buy 48 bananas in Rs. 12.

( CAT 1995 )

• 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 first term of an arithmetic progression of positive integers ?

A. Sum of the squares of the first and the second term is 116.

B. The fifth term is divisible by 7.

( CAT 1995 )

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