Official Quant thread for CAT 2013

f1(x) and f2(x) are quadratic functions such that f1(3) = f2(5) = 0. If f1(x) = 0 and f2(x) = 0 have a common root and f1(5) × f2(7) = 12, what is the value of the common root?

a) 4

b) 8

c) Either 4 or 8

d) Cannot be determined

Let S denotes the infinite sum 2 + 5x + 9x^2 + 14x^3 + 20x^4 + ... where |x|

Then S equals:

1) (2-x)/(1-x)^3

2) (2-x)/(1+x)^3

3) (2+x)/(1-x)^3

4) (2+x)/(1+x)^3


Dont have OA..kindly share the approach

There are fourteen points in a plane out of which six are collinear. Also, no other three points among the fourteen are collinear. If three points are picked randomly from the fourteen, what is the probability that they can become the three vertices of a triangle?

a) 86/91

b) 14/91

c) 85/91

d) 7/43

A,B and C hsave a few chocolates among themselves A gives to each other two half the chocolate they already have simlilarly B and C give other two half the chocolate they already has. Now if each of then has equal no of chocolate what could be the minimum no of chocolates they have among themselves ?

can anyone help me with the co-ordinates formula of an equilateral triangle please

a person has 4 coins each of diff denominations.what is the number of different sums of money he can form(using one or more coins )?

  • 15
  • 11
  • 12
  • 16

0 voters

f(n) is defined as the number of integers in (1,2,....n) that are relatively prime to "n". If n is product of 2 diff prime numbers, whose sum is 40 and f(n) =280 , then "n" are :

OA : 319

approach plz.

What is the minimum number of positive factors of a 6-digit number of the form abbabb, where a and b represent distinct natural numbers

  • NOTA
  • 16
  • 6
  • 10
  • 2

0 voters

A point p inside the triangle ABC and distances from point p from A,B,C, is 6,8,11.Find the perimeter of the triangle

Do post your approach -

Q Find total numbers between 250 - 750 that are divisible by 3 or 5 but not by 9 or 25 ??

Consider an operation M(f(x),l) where f(x) is any function and l is any straight line.

M(f(x),l) implies that f(x) is transformed to g(x) such that g(x)=|h(x)| is reflection of f(x) w.r.t to line l.


Ques 1. f(x)=|x| and l is y=2. Find the number of points at which M(f(x),l) touches X-axis .

a)2

b)3

c)1

d)0


Ques 2. f(x)=x, line l1 is y =-2 and l2 is x=1. Then which of thew following is true for M(M(f(x),l2),l1).


a) It intersects X axis at 3 points

b) It intersects Y axis at 2 points

c) It has a minimum value of 4

d) It has a maximum value of 4


Pls share approach





how many numbers below hundred can be expressed as a difference of two perfect squares in only ONE way.?

Puys how to approach a question lik given two equations say ax+by=0 and cx+dy=0.Find the no. of unit squares bound by these two lines with the x axis..

38! divided by 41 remainder ?

  • 1
  • -1
  • none of these
  • 40

0 voters

5^6-1 is divisible by ??

a) 13 b) 31 c)5 d) none

find the maximum value of 1/ x^2 + 3x + 14???


2r^2-3r+2=0
(r^6+1)/r^3= ??

Share u r approach..

Solve and please share approach

do this one @burnett :)
the roots of equation 2x^2-7x-10=0 are A and B
Z(n)=A^n-B^n
find the value of [2*Z(6)-10*Z(4)]/Z(5) ?