CAT questions

1.In a race, of length of ‘d’ m, Amar beats Bhavan by ‘x’ m and Charan by ‘y’ m. By what distance

does Bhavan beat Charan in same race?

A) (y-x)d / (d-y) m

B) (y-x)d / (d-x) m

C) (d-y)d / (d-x) m

D) (y-x) m

2.Prashanth borrows a sum at compound interest and it amounts to Rs 1,38,240 at the end of 3

years and to Rs 1,99,065.60 at the end of 5 years. What is the sum borrowed?

A) Rs 76,000 B) Rs 80,000 C) Rs 90,000 D) Rs 96,000

3.At what time do the hands of clock coincide between 1 PM and 2 PM?

A) 1:05 5/11 PM

B) 1:05 PM

C) 1:06 5/11 PM

D) 1:06 PM

4.P is an integer whose digits are zeros and ones. The sum of digits of P is 4 and 105 < P < 107.

How many values can P take?

A) 30 B) 60 C) 10 D) 20

5.Find the sum of first 10 terms in the following series 32(1)+42(2)+52(3)+62(4)+….

A) 4675 B) 4785 C) 4875 D) 4915

6.The range of x for which |x2+x-2| < x2-x is

A) [-1,1] B) (-∞,-1] C) [1,∞) D) no value of x

7.If a square is selected at random from an 8×8 chess board, what is the probability that it is a 3×3

square?

A) 3/8 B) 3/17 C) 1/64 D) 5/17

8.A laptop was sold at a profit of 15%. If it was sold at a price that was 10% lower , the profit

would have been 1050. What is the cost price of the laptop?

A) 21,000 B) 35,000 C) 30,000 D) 42,000

9.Rs 117 was supposed to be divided among Rohan, Sohan and Mohan in the ratio of 2 : 3 : 4. By

mistake it was divided in the ratio of 1/2 : 1/3 : 1/4. Find the loss/gain of Rohan due to the

mistake (in Rs).

A) gain,26 B) loss,26 C) gain,28 D) loss,28

10.Find the angle between the hands of clock at 2:30 PM in degrees.

A) 120° B) 135° C) 105° D) 100°

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