Official Quant thread for CAT 2013

Let n be postive integer and g(n) denotes HCF of n^2+11 and (n+1)^2+11, then max(g(n)) is:
A. 15
B. 45
C. 75
D. 105

this is a basic question but i am confused... my friend got in cat
F(x)= ax^2 +bx +c.

it has two roots 2 and 4.
the question was to find the value of F(2)+ F(4).
isnt the answer 0?

A tank is fitted with a pipe which fills at 10 litres/hr. After 4 hrs,a leak develops in the tank. If the leak had developed after 3 hrs instead of 4, it would have taken 2 hrs longer to fill the tank. How long would it take to fill the tank, of capacity 100 l if the leak existed from the beginning?


a)20 hrs

b)30 hrs

c)15 hrs

d)25 hrs


abc>triangle with sides 8,10,14
pqrs is a square>
find the side of square....rolleyesrolleyes

First n consecutive numbers are written on the board and do the sum .A boy is erasing smallest number and calculate the sum till n. All possible sum average is 105. Find n? Approach?


K is a number when successively divided 3 times by n , leaves remainders 4, 4 , 1
if n
approach plz

PQR is a triangle... where angle Q = 1/2 Angle P If PQ = r; QR = p; RP = q

Which of the following is true:

  • p is GM of q, p+r
  • p is GM of q, q+r
  • p is GM of r, q+r
  • p is GM of r, p+q

0 voters

Can anybody give some advise on how to solve parajumbles and RCs ... I am having difficulty in solving them in my mocks...I know its very late but still...

A team of 4 is to be constituted out of 5 girls and 6 boys. Find the probability that the team may have 3 girls ..
Ans. 2/11

can anybody please give a step by step approach to this question as i often get confused in these type of questions.

Number of non negative integer solutions for a+b+c+d= 15 such that (a,b,c,d)


How many ordered pairs (a, b) exist such that LCM of a and b is 2^3 5^7 11^13?

On a 8 × 8 chessboard, in how many ways can two squares be chosen such that they have only one corner in common?

Find the number of ordered pairs (x, y), where x and y are positive integers, that satisfy the equation 1/x+1/y=1/13 ??

In the quadrilateral ABCD, AD = DC = CB, and ADC = 100 degrees, ABC = 130 degrees. Then the measure of ACB is

a) 20

b) 30

c) 50

d) cbd

Find the possible values of (a,b)... 3a^2 + ab + 8a - 4b = 11

1

2

3

4

5

Find N, If N=33p+29 and N=24q+20 .
Moreover N is three digit number and p,q are some integers
Give detail soln 😲

In a km race,if A gives B a 40m start.A wins by 19 seconds,but if A gives B 30 seconds start,B wins by 40m.Find the time that each takes to run a km?


Pls explain also.
  • 250s,225s
  • 125s,150s
  • 150s,125s
  • 225s,250s
  • 150s,180s
  • 180s,150s

0 voters

explain pls @TotalLearner @placiddisciple @miseera @jasneetdua

answer is 2 root3( root3 -1)

help me out rolleyes

In a club every member plays atleast one of d games btwn crckt & hockey. 30% of d members play both crckt & hockey. 40% of the members who play crckt do not play hockey. what % of club members play hockey?

a)50%

b)60%

c)70%

d)80%

Hi...Is it possible to chng the cat centre..?? can anyone help.