# 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
• 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