Official Quant thread for CAT 2013

remainder when 128^500 divided by 153?

remainder when 128^500 divided by 153?

the arithmetic mean of a set of n numbers was calculated wrongly as 20, since the digits of one of the nos., which happened to be a two digit natural no., were interchanged. When calculated after correction, the mean was found to be 26. How many values are possible for n?

😁👍

Q

75% have vcd players , 75 % have microwave ovens ,80% have acs, 85% have washing macjines . 1)atleast what percent of pple have all 4 gadgets ??

2)Atmost all 4 gadgets ??

Which of the following is not a perfect square?

1)100856; 2) 325137; 3)945729; 4 ) All ;5) None

Please tell me how to find whether a number is a perfect square or not

Remainder: when 4^96 mod 6?

Hi guys, m stuck up with this question. Please help.
How many natural numbers are there with 24 factors such that 2,3,5 are their only prime factors ?

Please explain the approach also.

  • 27
  • 36
  • 9
  • 12

0 voters

In How many was can the letters of the word PROPORTION be arranged taking 4 letters at a time ?
In the above question how many word can be formed by keeping the relative position of the vowel and consonants same?
OA
1. 758
2. 720
Please explain the second part .😃😃

Let n!=1*2*3*.....n, fir integer n>= 1. If p= 1!+ (2*2!)+ (3*3!)+......+(10*10!), then p+2 when divided by 11! leaves remainder of?

how many 4 digt number are there whose sum of digit is equal to 12?

in a billiard game there are 9 games and first to win 5 games wins the match? as soon as someone wins 5 games the game ends. how many ways can the game end ??

the equation 4x-Ay=B has a number of integral solutions. If HCF(A,4)=1 and the number of solutions for (x,y) for 0

a) 3


b) 2


c) 1


d) None of these Discuss the approach

2^1000/3 remainder would be?

remainder of 6^83+8^83 divided by 49?

Q

Find the remainder when the expression 5^(1!+2!+3!+....+13!) is divided by 9


Ans is 8 ; Plz explain me the concept

Q2: A and B cover a track in 44 and 36 secs resp. in clockwise direc. simultaneously. Atleast how many rounds of circulr track must B revolve to be at max. dist, from A?

p, q and r are three non negative integers such that p + q + r = 10. The maximum value of pq + qr + pr + pqr is ? Can i get some help on the approach


  • ≥ 40 and < 50
  • ≥ 80 and < 90
  • ≥ 70 and < 80
  • ≥ 60 and < 70
  • ≥ 50 and < 60

0 voters

|x-1| + |x-2| + ....+ |x-10|..min val ?
No OA

A can do a certain piece of work in 18 days more than the time taken by A and B together to do the same work. B can do the same work in 8 days more than the time taken by the two complete the same work.They agree to do the work for a total compensation of 18000 and with the help of C complete it in 10 days . How much money will C get as his share?

options = 500, 2000, 3000, 4500