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

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

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

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

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

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

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

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

Q. 9

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

• A. 81
• B. 625
• C. 15
• D. 243
• E. 125

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

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

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

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

Q. 14

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

• A. 12
• B. 11
• C. 10
• D. 9
• E. 8

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

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