Official Quant thread for CAT 2013

Tushar wants to buy a total of 100 toffees with exactly a sum of Rs 100 that he has with him. He can buy snickers, eclairs, and pan-pasand at Rs 2, 0.5 and Rs 0.1 per toffee respectively. If Tushar has to buy one toffee of each type, then in how many distinct ways can Tushar make his purchase?

1) 2

2) 3

3) 5

4) None of these

There are 2 vertical flagposts of heights 5*(31/2) m and 10*(31/2) m respectively, which are 10 meters apart. Vineet picks up a random point on the ground between the flagposts and observes the angle of elevation of the 2 flagposts. What is the chance that Vineet will find both the falgposts subtending an angle of atleast 60 degrees?

1)50

2)75

3)100

4)None of these

A natural number is randomly selected from 1 to 300. Find the probability that it is exactly divisible by two of the three numbers 3, 6, 8?

Find the set of integers for which

n^2+19n+92 is a square.

If x+y+z= 6


What is the minimum value of 1/x+1/y+1/z ?

9 contestants for Miss India are seated on around circular table. Aditya wants to date 3 of them such that he doesn't select any 2 neighbouring contestants. The number of ways in which Aditya can do this is ?

😁 😁

F(x)=Sec^6x-Tan^6x . -45

3a+2b+c=30. Number of non negative integral soln?

x, y & z are positive real numbers

if xyz(x+y+z)=1

Find the minimum value of (x+y)(y+z)

What is the prob that k1*k2*k3 will be an even number,if k1,k2,k3 are +ve integers taken randomly.

Factorise (a+b+c)^3 - a^3- b^3 - c^3

Minimum Value of 4x^2-4x|sina|-cos^2a is

  • -2
  • 0
  • -1/2
  • -1

0 voters

A Quadrilateral ABCD has its diagonal AC & BD intersecting at E. The ratio of the areas of ABE:CDE=16:9. FInd the area of quadrilateral.

A Quadrilateral ABCD has its diagonals AC and BD intersecting at E. The Ratio of areas of ABE : CDE =16:9. Find the area of the quadrilateral ?

There are 8 students. 4 of them are men and 4 of them are women. If 4 students are selected from the 8 students. What is the probability that the number of men is equal to that of women?(a) 18/35 (b) 16/35 (c) 14/35 (d) 13/35

Find the value of (a+b+c) When abc!=a!+b!+c! where a,b,c are distinct +ve numbers. ?

Find the value of (a+b+c) When abc!=a!+b!+c! where a,b,c are distinct +ve numbers. ?

In how many ways 12 persons seat themselves at 3 different round tables 4 at each


a)12!/(4!)^3
b)(12!*(3!)^3)/(4!)^3
c)12!
d)none of these

plz explain

In how many ways can 12 persons be divided into 3 groups of 4 each


a)12!/(4!)^3

b)(12!*(3!)^3)/(4!)^3

c)12!

d)none of these



pls explain 92 question? @Dexian