Official Quant thread for CAT 2013

a box contains 20 red balls,25 blue balls,30 red balls,32 black balls. what is the minimum no. of balls that one has to draw from the box in order to be sure of having at least one ball of each of the four colours


What will be the ratio of sum of all possible two-digit numbers that can be formed from the three-digits(with all digits different from one another) to the sum of the digits in the original three-digit number.

N is a 5 digit natural number that has exactly 4 digits equal. Also N is divisible by 3. Find the number of such 5 digit numbers

  • 135
  • 130
  • 132
  • None of these

0 voters

On a poker table two players A & B are playing. player A has 2 spades, Player B has ! spade. What is the probability that the spade held by player B is the Ace of spade if already 3 spade cards are lying on the table apart from those with A & B ?

Anyone having PDF of CL mock tests this year or previous year??


in a 200m race a beats b by 15m and c by 19m..in a 3700m race by what distance will b beat c???

what is the remainder when 6^17+17^6 is divided by 7?

a. 0 b. 1 c. 3 d. 6

A child is asked to count upto any number then write the sum of all the numbers.he writes 575.find the sum of the two numbers that he either missed or added twice

solve 😃

what is the maximum volume of right circular cone that can be cut out from cuboid of dimensions 8*11*15??

The number of terms common between the series :

1+2+4+8+....upto 100 terms and
1+4+7+10+...upto 100 terms is

solve 😃

@ralins @sagarcat
A group of friends have some money which was in increasing GP. The total money with the first and the last friend was 66 and the product of the money that the second friend and the last but one friend had was 128. If the total money with all of them together was 126, how many friend were there?

The coefficient of x^15 in the product (1-x)(1-2x)(1-4x)....(1-2^15*x) is ....


2^105 - 2^121
2^121 - 2^105
2^120 - 2^104
None

The sequence of numbers {1,4,16,64,...} and {3,12,48,192,....} are mixed as follows:

{1,3,4,12,16,48,64,192,...}. One of the numbers in the mixed series is 1048576. The the number immediately preceeding it is...

Solve

Soln to ques(





:)

nmbr of positive values of x n y wch lesser than 8 wch will give distinct values of 3x+4y?

A man, having $2 in his pocket, goes to play his favourite game at a casino. The entry fee for the game is $1. If he wins he gets $2 back whereas if he loses he gets nothing. He plays the game multiple times. He does not lose more than twice and leaves the casino as soon as he has $4 in his pocket. How many different Win-Loss sequences are possible for him?

A-19 B-7 C-8 D20

Please explain.

As per OA, the approach is manual permutation combination.

I want to know whether any other logical approach is possible.
Remainders

1. What will be the remainder when 3^5^7 is divided by 41 ??

2. What will be the remainder when 2^50 is divided by 97 ??

3. What will be the remainder when 5^25^125 is divided by 11 ??

Need to solve without theorams ??? Chinese / Eulers / Ferments / etc etc