Official Quant thread for CAT 2013

2 circles c1 and c2 are such that the circle c1 bisects the circumference of circle c2. If the radius of the circles is 7 cms, what is the area common to the circles?

1)10 pi
2)15 pi
3)5(sqrt 5) pi
4)12 pi

The highest power of 2 in 10! + 11! + 12! + 13! + ...+ 1000! is

(a) 8 (b) 9 (c) 10 (d) 11

A man who went out between five o' clock and six o' clock and returned

between six o' clock and seven o' clock , found that the hands of the watch

had exactly changed places. when did he go out?

A, B, C, D, E held a shooting competition, whoever hits the target wins the

trip to US. They all shot successively, in the given order. What is the chance

of C winning the trip?

(a) 4/31 (b) 1/8 (c) 3/10 (d) 3/5

A man buys spirit at Rs.60 per litre, adds water to it and then sells it at Rs.75

per litre. What is the ratio of spirit to water if his profit in the deal is 37.5%?

I have some doubts related to Number system.Please help.

1.) K(N) denotes number of ways in which N can be expressed as a difference of two perfect squares.
Which of the following is maximum.
A) K(110) (B) K(105) (C)K(216) (D)K(216)

2.) X is a natural Number, Such that X^4 + 2X^3 + 3X^2 + 4X +36 is divisible by X.
How many values ca X assume.
A) 6 (B) 7 (C) 8 (D) 9
Please provide the explanation too.

How many no. can be expressed as sum of 3 factors less than 100


In how many ways 15 soldiers can be divided into 3 groups equally ??


how to do these kind of problems ??

A quadratic equation with integral coefficients has two distinct positive integers as roots, the sum of its coefficients is prime and it takes the value -55 for some integer. The sum of the roots is
a) 32 b) 20 c)24 d) none of these

One day I started from A to B at exactly 12 noon. My friend started from B to A at exactly 2:00 pm. We met on the way at five past four and reached our destinations at exactly the same time. What time was it?

In a group of 11 there are 5 girls and 6 boys .they were seated on a rectangular table with 6 chairs on either side of longer edge

a)total no of ways they could be seated
b)all 5 girls on same side


ans are11c6 *6! *6p5 and 7 *6!*6! for a and b . any one help me with the approach of this arrangement around rectangle questions !!

can't we check our rbi assistant marks?

I am in the habit of walking up the subway escalator while it is running. I climb 20 steps at my normal pace and it takes me 60 seconds to reach the top, whereas my wife climbs only 16 steps and it takes her 72 seconds to reach the top. If the escalator broke down tomorrow, how many steps would I have to climb?

Q5






What is the value of summation(1 to 99) 1/sqrt (n) + sqrt (n+1) ?

  • sqrt 100- sqrt 99
  • none of these
  • sqrt 99
  • 9

0 voters

Calculate the angle between the two hands of clock when the time is 6: 45 p.m.
-@A

At what time between 4 and 5 o`clock are the hands of the clock together...?
-@A

A man, starting from a point P, takes exactly six equal steps. Each step is in one of the four directions – East, West, North and South. What is the total number of ways in which the man ends up at point P after the six steps?

(a) 200 (b) 256 (c) 400 (d) 512

does questions related to Clocks are important. any body encountered question on this topic in last years?

An easy one.

Two clocks are set at 1 p.m. Fast clock gains 1 min for every hour. Find the time when the fast Clock shows 6 p.m.

-@A