Q. 1

Six points lie on a circle. How many quadrilaterals can be drawn joining these points?

- a. 72
- b. 36
- c. 25
- d. 15
- e. 120
- Answer: D

Q. 2

There are 3 children of a lady. In how many ways is it possible to dress them for a party if the first child likes 3 dresses, second likes 4 and the third likes 5 but the third child has out grown one of them? Each child has a different set of clothes.

- a. 11
- b. 10
- c. 60
- d. 48
- e. 15
- Answer: D

Q. 3

How many three-digit odd numbers can be formed from the digits 1, 3, 5, 0 and 8?

- a. 25
- b. 60
- c. 75
- d. 100
- e. 15
- Answer: B

Q. 4

Find the number of words formed by permuting all the letters of the word INDEPENDENCE.

- a. 144
- b. 1663200
- c. 136050
- d. 6432
- e. 720
- Answer: B

Q. 5

There are 12 children in a party. For a game they have to be paired up. How many different pairs can be made for the game?

- a. 46
- b. 24
- c. 120
- d. 66
- e. 132
- Answer: D

Q. 6

How many different differences can be obtained by taking only 2 numbers at a time from 3, 5,2,10 and 15?

- a. 49
- b. 1898
- c. 1440
- d. 4320
- e. 720
- Answer: C

Q. 7

In a class test there are 5 questions. One question has been taken from each of the 4 chapters. The first two chapters have 3 questions each and the last two chapters have 6 questions each. The fourth question can be picked from any of the chapters. How many different question papers could have been prepared?

- a. 540
- b. 1260
- c. 1080
- d. 400
- e. 4860
- Answer: E

Q. 8

How many five digit numbers can be formed using the digits 0, 2, 3,4and 5, when repetition is allowed such that the number formed is divisible by 2 and 5?

- a. 100
- b. 150
- c. 3125
- d. 500
- e. 125
- Answer: D

Q. 9

In how many ways can five rings be worn in 3 fingers?

- a. 81
- b. 625
- c. 15
- d. 243
- e. 125
- Answer: D

Q. 10

How many pentagons can be drawn by joining the vertices of a polygon with 10 sides?

- a. 562
- b. 252
- c. 105
- d. 400
- e. 282
- Answer: B

Q. 11

Find the number of words formed by permuting all the letters of the word INDEPENDENCE such that the E???s do not come together.

- a. 24300
- b. 1632960
- c. 1663200
- d. 30240
- e. 12530
- Answer: B

Q. 12

Ten different letters of an alphabet are given. Words with 6 letters are formed with these alphabets. How many such words can be formed when repetition is not allowed in any word?

- a. 52040
- b. 21624
- c. 182340
- d. 151200
- e. 600000
- Answer: D

Q. 13

If P(2n+1,n-1):P(2n-1,n) = 3:5, find n.

- a. 2
- b. 4
- c. 6
- d. 8
- e. 10
- Answer: B

Q. 14

A polygon has 20 diagonals. How many sides does it have?

- a. 12
- b. 11
- c. 10
- d. 9
- e. 8
- Answer: E

Q. 15

A box contains 5 red and 4 blue balls. In how many ways can 4 balls be chosen such that there are at most 3 balls of each colour?

- a. 132
- b. 242
- c. 60
- d. 120
- e. 240
- Answer: D