Official Quant thread for CAT 2013

Please solve this question with a detailed explanation lookround lookround lookround

How many years between 2000 & 2199 have sum of digits as perfect square?

Someone stop this Jackroy...mods????


N=123123123..............300 digits.
Find the remainder when N is divided by 504?

  • 35
  • 412
  • 1
  • None of these

0 voters

The product N of three positive integers is 6 times the sum of these three numbers. If one of the number among these three numbers is the sum of other two numbers, find the sum of all possible values of N.

a! + b! + c! + d! = 6 Find out total number of all possible ordered quadruplets (a,b,c,d)

Puys please help,


f(x) = x^3 + ax^2 + bx + 2 and g(x) = x^2 + 1, where a, b and c belongs to {1,2,3......10}.
What are the number of polynomials which are divisible by g(x).
1.0
2.1
3.10
4.100

A regular polygon has an even number of sides. If the product of the length of its side and the distance between two opposite sides is 1/4th of its area, find n.

howto solve this?/


It will be a great help if someone can share the technique to find cubes and square of all two digit no.s. squares of three digit no.s.

any link will also do

Manish's happiness is given by a function (a^2)* b, where a is his daily consumption of ice creams and b is his daily consumption of chocolates. Each ice cream costs Rs. 20 and each chocolate costs Rs. 10. If he has Rs.1,000, how much should he spend on ice creams to maximise his happiness?


y and z are natural numbers and z is real number. Find number of solutions of equation x^2+y^2+z^2=3125 if 50 how solve this..i think this has been solved earlier..still

222,441,1321,2639,7915, ?

A square has 2 sides of it's vertices on a circle and the other 2 are on tangent to circle . Find area of square if radius is 5 units .
https://s3.amazonaws.com/fi.geo.pgstatic/uploads/f82d99c2a42243858604634e3009889e.jpg

In a equilateral triangle ABC , D divides BC in ratio 2 : 1 while E divides AC in ratio 1: 2 find BE : ED ?


a) 4:3
b) 2 : root 3
c) root 7 : root 3
d) cant be determined

what is the minimum area of quadrilateral ABCD , if the area of a pair of diagonally opposite triangles( formed by joining diagonals of quadrilateral ) is 12 and 27 respectively ?

In quad ABCD AD = DC = CB and /ADC = 100 /ABC = 130 then /ACB = ??
a) 20
b) 30
c) 50
d) CBD

In how many ways 45^2 can be written as a sum or difference of two squares a^2 and b^2 where a and b are natural numbers?

Epic from EPIC

An Apple Costs 40 Cent, A Banana Costs 60 Cents, And The Grapefruit Costs 80 Cent. How Much Does A Pear Cost?

Find the length of smallest line segment which divides an equilateral triangle of side length √6 in two equal area regions.?

A. 3/√2B. √3C. √3/2D. None of these


does anyone have soft copy of lrdi or verbal ability by arun sharma or link regarding it