Q. 1
If you join all the vertices of a heptagon, how many quadrilaterals will you get?
  • a. 72
  • b. 36
  • c. 25
  • d. 35
  • e. 120
  • Answer: D

Q. 2
Four students have to be chosen 2 girls as the captain and vice-captain and 2 boys as captain and vice-captain of the school. There are 15 eligible girls and 12 eligible boys. In how many ways can they be chosen if Sunita is sure to be the captain?
  • a. 114
  • b. 1020
  • c. 360
  • d. 1848
  • e. 1500
  • Answer: D

Q. 3
A teacher prepares a test. She gives 5 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 2 questions have 3 choices and the last 3 have 4 choices.
  • a. 255
  • b. 816
  • c. 192
  • d. 100
  • e. 144
  • Answer: B

Q. 4
How many 5 digit numbers are there with distinct digits?
  • a. 144
  • b. 27216
  • c. 4386
  • d. 6432
  • e. 720
  • Answer: B

Q. 5
In how many ways can 15 students be seated in a row such that the 2 most talkative children never sit together?
  • a. 14!.14!
  • b. 15.14!
  • c. 14!
  • d. 14! 13
  • e. 15!
  • Answer: D

Q. 6
In a school 5 colours are allotted to each house. If the flag of Tagore House has to be a sequence of three blocks of different colours, then how many flags can they choose from?
  • a. 9
  • b. 27
  • c. 60
  • d. 20
  • e. 15
  • Answer: C

Q. 7
Find the number of words which can be formed by using the letters of the word EQUATION if each word has to start with a vowel.
  • a. 40320
  • b. 1260
  • c. 1080
  • d. 400
  • e. 25200
  • 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 or 5 or both?
  • a. 100
  • b. 150
  • c. 3125
  • d. 1500
  • e. 125
  • Answer: D

Q. 9
A straight road runs from north to south. It has two turnings towards east and three turnings towards west. In how many ways can a person coming from east get on the road and go west?
  • a. 2
  • b. 3
  • c. 9
  • d. 6
  • e. 5
  • Answer: D

Q. 10
How many heptagons can be drawn by joining the vertices of a polygon with 10 sides?
  • a. 562
  • b. 120
  • c. 105
  • d. 400
  • e. 282
  • Answer: B

Q. 11
Four persons enter the lift of a seven storey building at the ground floor. In how many ways can they get out of the lift on any floor other than the ground floor?
  • a. 720
  • b. 1296
  • c. 1663
  • d. 360
  • e. 2500
  • Answer: B

Q. 12
Ten different letters of an alphabet are given. 2 of these letters followed by 2 digits are used to number the products of a company. In haw many ways can the products be numbered?
  • a. 52040
  • b. 8100
  • c. 5040
  • d. 1000
  • e. 4000
  • 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

Score: 0/15