Official Quant thread for CAT 2013

How many two-digit numbers exceed the sum of the factorials of their digits?

17

16

20

8

Find the number of odd factors of 24² + 32² + 75² + 204²

  • 8
  • 9
  • 10
  • More than 10

0 voters

A circle C is drawn such that it touches 2 sides of an equilateral triangle as well as the circumcircle of the triangle.Find the ratio of areas of incircle:Circle C:circumcircle.

a) 9:12:36
b) 4:8:16
c) 9:16:36
d) 4:12:16

what is soln of x?

(x-1)(x-2)(x-3) >=0

Find the sum of all 8 digit number that can be formed with the digit 1,1,1, 5,5,7,8,9

(x+1)(x+2)(x+2)/(x-1)(x-2)(x-2) >=0


soln for x?

Hi guys,

I am taking CAT & XAT this year... and I want to start preparation. So please suggest me the books or material which are enough to crack CAT ( I mean it should cover all the syllabus of CAT , XAT with good practice questions , shortcuts , tips )and the preparation that I have to do for GD and PI rounds ( I'm not saying that I will get a 100 percentile in CAT or XAT but if I got a call from any IIM or XLRI time would not be sufficient to prepare for GD and PI )

If a rectangle is selected at random from a chessboard, what is the probability that it is a square?


In triangle PQR, right angled at Q, a perpendicular QS is drawn on PR. Perpendiculars ST and SU are drawn on PQ and QR respectively. If ST = 3 cm and SU = 4 cm, find the approximate area (in cm2) of triangle PQR.

Four weavers P,Q,R,S work in a small warehouse .P can make a basket in 8 hours . Q is 60% more efficient than P . R is 25% more efficient than P and S is half as efficient as P.


Q. P works on the 1ST day ,Q works on second day ,R on 3rd day and S on 4 th day and the cycle continues .on which day will they be ready with 15 baskets is each person works for 2 hours each day.?

Find the number of ways selecting one or more letters from the letters AAAA BBB C D E ?
Any shortcut for this except making cases ?

A is a non empty set with n elements ,P and Q are two subsets of A such that P is a subset of Q then number of ways of choosing P and Q???

A natural number N is 100 times the number of its factors. Find the sum of the digits of N, given that N has only 2 prime factors.

A. 1 B. 2 C. 3 D. 4 E. 5

(Not able to get this can someone pls help me with this)


another one guys:
N is a perfect Square having atleast three digits. If the last two digits are equal and not equal to 0:

I) the last digit of N must be?
a) 1 b) 6 c) 5 d) 4

II) How many 5 digit values can N assume?
a) 5 b) 6 c) 7 d) 9

Help with explanations please..


Find the sum of the sum of the sum of the digits of 25!


Can anyone please explain the difference between Question 5 and question 7 clearly .

I was unable to understand the solutions also ... detailed solution please ??

what should be the score ( out of 180 ) we should aim at to get a 95+ percentile in the actual CAT??

hi guys .. pls solve this ?? unable to get soln in material ?

A loan is taken today and repaid in two annual instalements of 2783 rupees each (the first instalement is repaid at the end of ist year). I f the rate of interest is 10% and it is compoundd anually, find the sum borrowed ?

There were 2 solns give nin TIME material for this .. i m unable to understand the following soln... can anyone pls explain?


SOln:-

The 2 instalments amount to 2783+2783+278.3=5844.3 for 2 years.


The present value for it is :_ 5844.3/(1.21) = 4830 /-


MY DOUBT:- HOW DOES THIS COME????

"The 2 instalments amount to 2783+2783+278.3=5844.3 for 2 years."




a,b,c are positive integers.


find the no of solutions for

2a + b + c = 20