Q.1 A two member committee comprising of one male & one female member is to be constituted out of five males & three females. Amongst the females A refused to be a member of the committee in which Mr. B is taken as the member. In how many different ways can the committee be constituted ?

A) 11

B) 12

C) 13

D) 14

Ans. D

Females(3)      Males (5)

A                        B

C                        D

E                        F

                          G

                          H

Since A can’t go with B, it will make team with four males in four ways AD, AF, AG, AH. Since there is no compulsion with female C & E, may combine with 5 males in 5 different ways each.

Therefore, total number of ways = 4+5+5=14

Q.2 In a question of a test paper there are five items each under List-A & List-B. The examinees are required to match each item under List-A with its corresponding correct item under List-B . Further, it is given that

i) No examinee has given the correct answer

ii) answers of no two examinees are identical

What is the maximum number of examinees who took this test ?

A) 119

B) 26

C) 129

D) 24

Ans. A

Total number of combination = 5*4*3*2*1=120

Since it has given two fact,

i.e. No examinee has given the correct answer

We know in there must be correct answer in out of 120 combination given in the question

So, number of examinees = 120-1 = 119

Q.3 Two friends decided to meet at a place between 2 to 3 pm, both can arrive any time b/w 2-3,they decided that person arriving first will not wait for more than 10 min for the other. What is the prob. they will meet?

A) 11/36

B) 12/36

C) 11/35

D) 12/35

Ans. A

This is a question of area probability.

IF we plot each 10 minute intervals on x-axis and y axis we will get a square with lines x=y=0 and x=y=6

now. we need to find the area |x-y|<1

thus the probability is (36-25)/36=11/36

Q.4 In a tournament 14 teams play league matches. If each team plays against every other team once only then how many matches are played ?

A) 85

B) 91

C) 105

D) 78

Ans. B

No. of matches played= 14C2 = 14 * 13 / 2 = 91

Q.5 If there are 12 persons in a party, and each of them shakes hands with each other, how many handshakes happen in the party ?

A) 55

B) 66

C) 88

D) 44

Ans. B

12*11/2=66