Official Quant thread for CAT 2013

How many trailing zeros will be there after the rightmost non-zero digit in the value of 25!?

(a) 25

(b) 8

(c) 6

(d) 5

the remainder wen (10^3+ 9^3)^752 is divided by 12^3


puys, how do I solve these kind of questions..?
23 can be expressed as a sum of 3 positive integers in how many ways?

What is the max value of 1/ (625*a^2000+ 900*b^1600+9.5)


Minimum value of :

3^sinx + 3 ^cos x is ?







there are 100 bulbs glowing initially. now there states are changed as mentioned

1) multiples of 2 are toggled

2) multiples of 3 are toggled





98) multiples of 99 are toggled

99) multiples of 100 are toggled

how many bulbs are finally on?

(2a^2+4a^8*b^7*c^96+8abcd)/(a+2a^7*b^7*c^96-4bcd)= 9/3 what is the value of 16abcd)/

(2a^2+4a^8*b^7*c^96-8abcd)

In the following series find the one number that is

wrong

2, 3, 13, 37, 86, 167, 288.


If two dice are rolled then what is the probability that sum of the results is an even number or prime number if at least one of the dice rolled always shows an odd number?

a) 23/27

b) 22/27

c) 23/36

d) 3/4

x=e^x..... no of positive solution for x ??? 0 or 1 ?

How many subsets of { 1,2,3....11} contain atleast 1 even integer ?

consider a function f(x)= x^4+x^3+x^2+x+1 where x is a positive integer greater than 1 what will be the remainder if f(x^5) is divided by f(x). [XAT 2013]

Shraddha and Dimple run on the circular track of length 600 m. Speeds of Shraddha and Dimple are 30 m/s and 20 m/s respectively. Initially they are diametrically opposite to each other. If both move in opposite direction, when would they meet for second time?

  • 9 sec
  • 12 sec
  • 15 sec
  • 18 sec

0 voters

A group of men decide to do a job in 4 days. But since 20 men dropped out every day starting from day 2, the job completed at the end of 7th day. How many men were there at the beginning?

  • 240
  • 140
  • 280
  • 150

0 voters

try this one related to sets and subsets..

If a, b, c are in G.P., then loga d, logb d, logc d are in:

Note: The italics are bases

  • AP
  • GP
  • HP
  • None

0 voters

An employer employees 28 men to complete a work in 30 days. 40% of work has been completed in 16 days. How many more men required to complete the remaining work.

  • 20
  • 8
  • 16
  • 32

0 voters

Three vessels having volumes in the ratio of 1 : 3 : 5 are full of a mixture of water and milk. In the first vessel, ratio of water and milk is 7 : 13, in second 9 : 11 and in third 11 : 14. If the liquid in all the three vessels were mixed in a bigger container, what is the resulting ratio of water and milk?

a boat goes 30 km upstream and 44 km downstream in 10 hours. in 13 hours it can go 40 km upstream and 55 km downstream. the speed of boat in still water is?