Q. 1
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: 0/10
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