Official Quant thread for CAT 2013

If the expression x + 809436 × 809438 be a perfect square, then the value of x is

  • 0
  • 809438
  • 809436
  • 1

0 voters

How many positive integers less than 1000 can be expressed as the sum of six consecutive positive integers, and as the sum of eight consecutive positive integers?

Let A and B be two solid spheres such that the surface area of B is 300% higher than the surface area of A. The volume of A is found to be k% lower than the volume of B. The value of k must be

  • 85.5
  • 87.5
  • 90.5
  • 92.5

0 voters

From a circular sheet of paper of radius 10 cm, a sector of area 40% is removed. If the remaining part is used to make a conical surface, then the ratio of the radius and the height of the cone is

  • 4:3
  • 1:2
  • 3:4
  • 1:1

0 voters

A moves down an escalator which is moving upwards and counts 150 steps.B moves up the same escalator and counts 75 steps.Knowing that A covers thrice as much steps as B in the same time.How many steps are there??



there are 10 packets of chips and biscuits in a box one pulls out 3 packets and all of them turns to be chips then what is the probability that box contain 1 packet of biscuits and 9 packets of chips?

Ashish is studying late into the night and is hungry.

He opens his mother's snack cupboard without

switching on the lights, knowing that this mother

has kept 10 packets of chips and biscuits in the

cupboard. He pulls out 3 packets from the

cupboards, and all of them turn out to be chips.

What is the probability that the snack cupboard

contains 1 packet of biscuits and 9 packets of

chips?


A. 6/55

B. 12/73

C. 14/55

D. 7/50


A non-zero number is such that its square is exactly divisible by its factorial. How many such numbers are there?

1

2

3

Greater than 10

If N = 11! + 12! + 13! + 14! + ………+ 100!, how many power of two's are there in N?

2

5

8

10

97

In a box there are 9 a's and 1 b . You took out 3 items randomly. what is the probability that they are 3 a's ?

Which of the following numbers does not fit into the series?

14, 19, 29, 40, 44, 51, 59, 73

  • 59
  • 29
  • 44
  • 51

0 voters

there are 10 packets of chips and biscuits in a box one pulls out 3 packets and all of them turns to be chips then what is the probability that box contain 1 packet of biscuits and 9 packets of chips?

What is the remainder when ((55)^15!)188) is divided by 17?

1) 1 2) 16

3) 3 4) 5

5) 15


Please suggest approach to solve sums dealing with find remainders for (x^y!)
😠 embarrased

In the expansion of (a + b + c)^30, how many terms are there with at least one power of a, one power of b and one power of c ?


P.S. - Mention your approach, please. 😃

In a class the no of pencils with children is {1 to n}. The no of children with i^th pencil is 2^(n-i) where i=1 to n. Total no of pencils is 511. Find the max. no of pencil with a child?


weights of two friends ram and shyam are in the ratio of 4:5 . ram's weight increaes by 10% and the total weight of ram and shyam together becomes 82.8 kg . an increase of 15% . By what percent did the weight of shyam increases???

Can someone give me a formula to find pythagorean triplets

solve

If n = [10!/(x! y!)] where x, y ∈ N and x + y = 10 then find the remainder when sum of all possible distinct values of n is divided by 17.

(1)1

(2)8

(3)15

(4)0

kindly post approaches rather only oa

-4

The range of the values that can be be taken by M = xz/y ?complete options is at - Arun Sharma, Pg 41, Q 78

I am getting a diffirent answer from that given in the book