Problem Solving Practice Test 2

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