Official Quant thread for CAT 2013

In how many ways 70 passengers can sit in a double-decker bus which contains 40 seats in the upper deck and 30 seats in the lower deck, if 15 passengers has refused to sit in the lower deck?

70C40 × 40! × 30!

55C30 × 25! × 30!

55C30

55C25 × 30! × 40!

None of these

A, B, C, D, and E are five friends. Three of them have to go for a movie and the remaining two have to go to an exhibition. If A and B cannot go to the same place, in how many ways this can be arranged?

1

2

10

4

6

India and England are playing five cricket one-day's. The one who wins get 2 points, the one who loss gets no point and if there is a draw, each one gets 1 point. The team which scores more points wins the tournament.

If there is no draw, in how many different ways (i.e. by winning in different matches) India can win the tournament?

3

8

10

12

16

India and England are playing five cricket one-day's. The one who wins get 2 points, the one who loss gets no point and if there is a draw, each one gets 1 point. The team which scores more points wins the tournament.

If there is exactly one drawn match, in how many ways India can win the tournament?

6

10

25

30

None of these

S={1,2,3,.............1000}
y using the elements of Set S, How many different AP's can be made such that it starts with 1 and ends with 1000 and have at-least 3 elements ?

In a group of twenty friends, A, B, and C have the same age. X is as old as Y but not as old as A, B, and C. Nobody else in the group is as old as the other. In how many ways all the friends can stand in an increasing order of their age?

1

2

3

6

12

The letters of the word 'PERMIT' are arranged in all possible ways and the words thus formed are arranged in a dictionary. What is the rank of the word 'PEMRIT'?


plz help me with approach.........

If 5 unbiased coins are tossed, what is the probability of getting even number of heads?

1.1/2

2.1/5

3.5/32

4.1/32

5.15/32


time for some probability questions after P and C @placiddisciple @ahsish9virgo @anandmadhav 😃

6! ^ 1/6 > 7! ^ 1/7. is the statement true or false?

There is a biased coin, such that the probability of getting head is twice the probability of getting tail. If this coin is tossed 5 times, what is the probability of getting head 3 times?

1.2/3

2.10/32

3.20/32

4.80/243


5. None of these

dictionary rank of : STUTI

okens are numbered from 1 to 100. If a token is selected at random, what is the probability that the number on the token should have atleast 9 as one digit?

What is the probability that a perfect square, greater than 0 and less than 104, is a perfect cube?


1/99
2/99
3/99
4/99
5/99

A biased dice is such that, the probability of getting 'k' on the dice is k times the probability of getting 1. What is the probability of getting an odd number?

x,y and z are integers such that -10

If N=3^a*3^b, a and b are any two integers whose range is from 1 to 6 what is the probability that N is a multiple of 729.

With approach please.

  • 5/11
  • 13/11
  • 13/18
  • 5/18

0 voters

If 3x+4y+5z=20, then what is the max possible value of x^2*y^2*z?

In N is the total number of ways of selecting 2 different rectangles from a 8x8 chess board then sum of digits of N is____

a. 9 b. 18 c.27 d. 36 e. None of these

how to distribute 7 balls among 3 identical boxes when no empty box is allowed??

If 8 persons are to be seated around a circular table, what is the probability that two particular persons do not sit together?