Official Quant thread for CAT 2013

find out last 2 digit 0f 147^147!

The arithematic mean of a set Of N numbers was calculated wrongly as 20,since the digits of a two digit number natural number were interchanged,when calculated after correction mean was found to be 26.How many values are possible for N?

a box contains 6 red balls,7 green and 5 blue balls. each ball is of different size.one ball is selected and is found to be red.what is the probabbility that it is the smallest red ball?

1/x+1/y=1/10 how may integer solution for X, Y.


4 people a,b,c,d run around a circular track in a 432 km race of 2laps.Initially they all are sperated by 1/4 th of the circumference of the ground and their speeds are 10m/s,20m/s,30m/s,40m/s.after every hour they exchange their speeds such that A takes B's speed,B takes D's speed,C takes A's speed and D takes C's speed.Find the time taken by the winner to finish the race.


Please explain.
  • 4 hrs 51 min
  • 3hrs
  • 4 hrs 48 min
  • None of these

0 voters

It had long since come to my attention that people of accomplishment rarely sat back and let things happen to them. They went out and happened to things“. 👍

In how many ways can 73 identical chocolates be stuffed into three boxes – B1, B2 and B3 – such that B1 contains more chocolates that B2 and B2 contains more chocolates than B3?

how many four digit nos. with non zero digits have the digit sum equal to 12

in a circle two parallel cords of 6 cm n 10 cm. the distance b/w both the cord is 4 cm find the radius of the circle


if it is 6.27 in the evening certain day, what time it was in the morning exactly 2880715 minutes earlier ?

6.22
6.27
6.30
6.15

the remainder when 25! is divided by 10^7??

I want to know that whether answer would be 4 or 4*10^6

plz see this

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)

  • 3
  • 0
  • 2
  • cannot be determined
  • 1

0 voters

A teacher gave a task to two of his students. He wrote some prime numbers on the blackboard. He asked one of his students, Ajay, to form all possible triplets among them. He then asked him to find the product of the numbers in each triplet. He asked another student, Anand, to find the GCD of every pair of products found by Anand. Both followed the teachers instructions. Anand found that exactly 315 of the GCDs were prime. How many numbers did the teacher write on the blackboard?


Please share your approach also!

Thanks 😃

what is the tn of this series 1+1/3+1/6+1/10+1/15...................... infinity

if Set S -= {3, 6,12, 24......, 3(2)^N}. If the product of all teh elements in S equals (3)^11 . (2)^55, N= ?

A) 11 b) 10 c) 14 D) 12

Please share your solution with the answer.

find the 10th term of 1, 2, 5,11,21..!!!!!! plz guys explain too!!!!!!!!!!!!!!



100 m circular track; A n B run in same direction from starting point and C runs from Opposite point of starting point IN oposite direction of A n B their speed ratios are 2:5:8; Number of distinct point they would meet on circumference.

Four distinct coins are placed into one or more of five different boxes randomly. Find the probability that exactly 3 boxes will have at least one coin.

3/25
72/125
16/25
8/75

The circum-radius and the in-radius of a right angle triangle are 12.5 cm and 5 cm.. what is the area of the right angle triangle?