Official Quant thread for CAT 2013

Each of A,B and C needs a certain time to do a certain work.C needs 1 hr less than A to complete the work.Working together they take 30mins to complete 50% of the job.The work also gets completed if A and B start working together and A leaves after 1 hr and B works for a further 3 hrs.How much work does C do per hour?

  • 25
  • 66.66
  • 50
  • 16.66

0 voters

a+b+c+d=20 . Find the number of non negative integral solutions such that a>=b>=c>=d

plz help me wid solution

I have a question from Arun sharma(third edition) from geometry (extra practise question ,page no. 395) Question no. 19 find the the area of shaded region .I am not getting the ans plz help me.thanx.

how many numbers below 100 can be expressed as difference of two perfect squares in only one way

  • 26
  • 35
  • 34
  • 25

0 voters

Can anyone please explain this....

Cube problems: A cube is given with an edge of unit 'N'. It is painted on all faces. It is cut into

smaller cubes of edge of unit 'n'.

what is the number of smaller cubes with 1 & 0 faces painted/??
mgmg

1. The number of positive integer values of the pair (x, y), satisfying 4x – 17y = 1 and x less than or equal to 1000 is

a) 59 b) 57 c) 55 d) 58


pls help
1.For a given pair(x,y) of positive integers such that 3x -11y=1 and given that x can take maximum value of 1000 how many such pairs are possible?
2.X is a set of 3 digit divisors which give same remainder when it divides 2 numbers 12714 and 13914 What is maximum possible number of elements in X?

There are fifty integers, a1, a2, …, a50, such that not all of them are necessarily different. Let the greatest integer of these fifty integers be referred to as G, and the smallest integer be referred to as L. The integers a1 through a24 form sequence S1, and the rest form sequence S2. Each member of S1 is less than or equal to each member of S2.All values in S1 are changed in sign, while those in S2 remain unchanged. Which of the following statements is true?

a) Every member of S1 is greater than or equal to every member of S2.

b) G is in S1.

c) If all numbers originally in S1 and S2 had the same sign, then after the change of sign, the largest number of S1 and S2 is in S1.

d) None of the above

Is pdf of quantum cat available?if anybody have it on dropbox or google drive please share link of the same.

2 persons A n B are standing diametrically opposite on a circular track of with a radius of 3.5 units.they started running in an opposite direction on the circular track and their speeds are 4units/min and 7units/min respectively.on meeting each other they take rest for half a min and then start running twice the original speed.in 5 min how many times will they take rest together.
a.6
b.7
c.10
d.none
@placiddisciple @sagarcat

Let x denote the greatest 4-digit number which when divided by 6, 7, 8, 9 and 10 leaves a remainder of 4, 5, 6, 7 and 8 respectively. Then, the sum of the four digits of x is:

(a) 25

(b) 18

(c) 20

(d) 22

Correct ans is 25, Plz elaborate how to solve this

Five boxes numbered 1, 2, 3, 4, and 5 are kept in a row and are to be filled with either red or blue balls such that no two adjacent boxes can be filled with blue balls. How many different arrangements are possible, if all the balls are exactly identical in all respects?

1. 8

2. 10

3. 13

4. 22

5. 25

while filling tissnet form we need to upload INCOME documents, i belong from business family. please tell from where i can get this document??

Solve PFA

How many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language???

a group of soldiers are marching with a speed of 5 m/.the distance b/w the 1st and the last row of soldiers is 100m.a dog starts running from the last row and moves towards the first row,turns back to the last row .if the dog has travelled 400 m ,the speed of the dog is
a.5root2
b.3root5
c.6root5
d.6root2


@ahsish9virgo @reckdeath1123


The sum of the digits of a given number a is the same as the sum of the digits of the number 2a. Which of the following is always true:-i) a is a multiple of 9ii) a is a multiple of 8iii) a is a multiple of 7iv) a is a multiple of 6

TSD Question.

A player rolls a die and receives the same number of rupees as the number of dots on the face of the die that turns up. If he pays Rs. 2.50 for one throw, what is his profit or loss in 12 throws?

Rs. 2.50

Rs. 2

Rs. 3.50

Rs. 4

Can't be determined