Official Quant thread for CAT 2013

a+b+c+d=20, How many positive integral solutions are possible such that a>b>c>d ?

Let g(x) be a function such that g(x+1) + g(x-1)= g(x) for every real x. Then for what value of p is the relation g(x+p)=g(x) necessarily true for every real x??...
a) 5 b)3 c) 2 d) 6

rem[3^1024/2^12]??

Let x and y be real numbers and let :
f(x,y) = |x+y| , F( f ( x,y )) = - f ( x,y ) and G (f (x,y)) = - F ( f ( x,y ))
What is the value of: f ( G ( f (1, 0)) , f (F (f (1, 2)) , G (f (1, 2)))) ? Cat 1999

Q- If a regular hexagon is drawn inside a square of side 12 cm such that there is at least one vertex of the hexagon on each side of the square, what is the side of the hexagon that is drawn?



how many numbers between 200 and 400 are divisible by 4 or 5 or 8 or 10



need approach

A square piece of cardboard of sides 10 inches is taken and 4 equal squares pieces are removed at the corners , such that the side of this square piece is also an integer value. The sided are then turned up to form an open box. Then the maximum volume such a box can have is..do share approach plz

  • 64
  • 72 cubic inch
  • 24.074
  • 2000/27

0 voters

approach plz


3^27^x=27^3^x . find x

if (a^2 x b^3 x c)=256/27, find the minimum value of a+b+c, given a, b, c are real nos.
a) 10 b) 8 c) 12 d)4

@adills

Q- If a regular hexagon is drawn inside a square of side 12 cm such that there is at least one vertex of the hexagon on each side of the square, what is the side of the hexagon that is drawn?

I have tried drawing the Hexagon.
Now let AE = AJ = x then DJ = DH = 12-x
Let side of the hexagon be a => JH = sqrt(3)a
hence JE = a = x*sqrt(2)
and JH = sqrt(3)a = (12-x)*sqrt(2)
solving we will get a = 6[sqrt(6) - sqrt(2)]


Hi Guys,


Where can I get something to learn Distribution, In PnC.
How to select/Arrange/Distribute n Identical/Distinct stuff from R Distint /Identical Stuff ????????

1.N is a five-digit perfect square whose unit digit is same as the tens digit. How many such N are there?


a. 31

b. 32

c. 33

d. 30

If a and b are real numbers such that a^a^b= b and a b , then what is the value of a^b - b?

for how many values of p(a prime number )p^2+15p-1 is also prime

how many natural numbers between 1 to 100 have exactly 4 factors

which of the following is perrfect square

35! * 36!
36!* 37!
37!*38!
34!*37!

1)sum of 20 distinct numbers is 801 . what is minimum lcm possible?

2) sum of 20 numbers(may or may not be distinct )
is 801 then minimum lcm possible ?

Q) In a country X, the currency is in three denominations 35, 25 and 17 units. Which of the following amounts cannot be paid exactly (i.e., without taking some amount in return) using only the above denominations? A.162 B.157 C.107 D.121

hi guys is there any particular method for solving this type of question (especially in case if there are more than 3 basic denominations) or you have to do it by hit and trial..

A circular table is pushed in the corner of a rectangular room such that it touches the two perpendicular walls of the room. A point on the periphery of the table is such that it is 9 units from one wall and 8 units from from the other wall. Find the radius of the table.











(Ans. 5,29)

fn = 2^(n-1) + 1, when n is odd2^(n-1) - 1, when n is even.Find remainder when f1+f2+f3+f4+...+f100 is divided by 127