Official Quant thread for CAT 2013

A four digit perfect square abcd. When each of its digits are increased by 1, then, the resulting number is also a perfect square. How many 4 digit squares exist.

a.0 b.1 c.2 d.cannot be determined

If p+q+r+s+t=8 and p^2+q^2+r^2+s^2+t^2=16,then find the maximum possible value of p?

How many integer solutions does x/y + (y+1)/x = 4 have?

How many trailing zeroes at the end of (100!+101!+102!+103!)^100 ?

How many trailing zeroes in 1^50*2^49*3^48.......48^3*49^2*50^1?

A and B start simultaneously from P and reach R via Q along the same road. A travels at 15 km/hr from P to Q and at 20 km/hr from Q to R. B travels at 20 km/hr from P to Q and at 15 km/hr from Q to R. A reaches at R, 10 min before B reaches there. If the time taken to cover PQ to the time taken to cover QR by B is in the ratio 1:2, find the distance between P and R.


a35 km

b50 km

c55 km

d45 km

eData Insufficient

What is the sum of all two-digit numbers that give a remainder of 3 when they are divided by 7?

a.666
b.676
c.683
d.868

( please explain )

remainder(3^102/77)?


remainder(24^20/14)?
  • 72, 4
  • please explain
  • 64, 2
  • 56, 8

0 voters

a and b are the roots of the equation 2x^2 - 7x - 10 = 0 , where a>b . If Z(n) = a^n - b^n , find the value of {2*Z(6) - 10*Z(4)} / Z(5) .
a 6
b 7
c 12
d 14

p,q,r are positive integer and p+q+r=50?

find probability such that p>10, q>5 and r>10?

m nt been able to work out da method to solve ds Q.....Q.there are 5 balls of different colours and 5 boxes of colours the same as those of the balls,one in each box can be placed such that a ball does not go to a box of its own colour

Three people A, B and C start moving around a circular track of 100 m simultaneously with speeds of 2 m/s, x m/s and y m/s respectively in clock wise direction. They meet for the first time after t seconds and they meet for the first time at their common starting point after 3t seconds. Which of the following can never be the value of x?

2

3

5

8


A party is attended by a total of 60 persons. If the ratio of men and women is 3:2. ,how many more men must join the party such that the ratio becomes 7:3?


Two letters are randomly chosen from the word LIME .Find the probability that the letters are L and M.
a)1/2
b)1/4
c)1/3
d)1/6
e)1/5
Steps please

in a number system , the product of 44 and 32 is 2332. what is the sum of 44 and 32 in that number system

  • 100
  • 110
  • 120
  • 130

0 voters

There are two numbers m and n. Which of the following must be added to two numbers m and n such that their ratio becomes x:y?

A) (mx+ny)/y+x
B) (my+nx)/y_x
C) (my-nx)/x-y
D) (my+nx)/y+x

A retailer mixed two different qualities of a grain having rates 9 rupees per kg and 13 rupees per kg in the ratio 5:7. Then he adulterated it with 18 kg of impurities to make more profit. If he sold the grains at cost price and made 30% profit, then what is the amount he earned by selling the grains ?

P is an integer whose digits are zeros and ones.the sum of the digits of P is 4 and 10^5a.30 b.60 c.10 d.20???plz post ur ans asap...guys...actualy i find ol da options incorrect...so wanna knw whether m ryt or nt!!!



The set of all positive integers is the union of two disjoint subsets: {f(1), f(2), ..., f(n), ...} and {g(1), g(2), ..., g(n), ...}, where f(1)


a 0

b 2

c 1

d 3

e Cannot be determined

A string of 2009 digits begins with a "6". Any number formed by two consecutivedigits is divisible by either 17 or 23.1.


What is the last digit in this sequence?


a. 6 b. 9 c. 1 d. 4 e. None of these