Q. 1
6 students of nursery class are playing a game. They are standing in a circle and have to pass a ball among themselves. How many such passes are possible?
  • a. 32760
  • b. 15625
  • c. 30
  • d. 36
  • e. 46656
  • Answer: B

Q. 2
There are 5 boys standing in a row and 5 girls are to be paired with them for a group dance competition in a school. In how many ways can the girls be made to stand?
  • a. 360
  • b. 120
  • c. 540
  • d. 720
  • e. 180
  • Answer: B

Q. 3
In the editorial group’s photograph of a school all the 5 teachers are to be seated in the front row. Four girls are to be in the second row and six boys in the third row. If the principal has a fixed seat in the first row, then how many arrangements are possible?
  • a. 237144
  • b. 251820
  • c. 502340
  • d. 72000
  • e. 2073600
  • Answer: E

Q. 4
In how many ways can 8 people be seated at a round table?
  • a. 5040
  • b. 40320
  • c. 2520
  • d. 4914
  • e. 378
  • Answer: A

Q. 5
Sunita wants to make a necklace. She has 8 beads. How many different choices does she have?
  • a. 2400
  • b. 1200
  • c. 600
  • d. 250
  • e. 390
  • Answer: B

Q. 6
From city A to B there are 3 different roads. From B to C there are 5. From C to D there are 2. Laxman has to go from city A to D attending some work in city B and C on the way and has to come back in the reverse order. In how many ways can he complete his journey if he has to take a different while coming back than he did while going?
  • a. 250
  • b. 90
  • c. 100
  • d. 870
  • e. 900
  • Answer: D

Q. 7
Neetu has five identical beads each of nine different colours. She wants to make a necklace such that the beads of the same colour always come together. How many different arrangements can she have?
  • a. 2534
  • b. 1500
  • c. 56321
  • d. 42430
  • e. 20160
  • Answer: E

Q. 8
On a chess board one white square is chosen at random. In how many ways can a black square be chosen such that it does not lie in the same row as the white square?
  • a. 1450
  • b. 2920
  • c. 3105
  • d. 2002
  • e. 1400
  • Answer: D

Q. 9
How many necklaces can be made using at least 5 from 8 beads of different colours?
  • a. 230
  • b. 2952
  • c. 5904
  • d. 7695
  • e. 5130
  • Answer: B

Q. 10
Find the possible values of n if 30 P(n,6) = P(n+2,7).
  • a. 10,15
  • b. 6,7
  • c. 4,25
  • d. 9,10
  • e. 8,19
  • Answer: E

Q. 11
Using all the prime numbers less than 10 how many four-digit even numbers can be made if repetition is not allowed?
  • a. 8
  • b. 4
  • c. 2
  • d. 6
  • e. 3
  • Answer: D

Q. 12
There are 15 points in a plane, out of which 6 are collinear. How many pentagons can be drawn with these points?
  • a. 3006
  • b. 3003
  • c. 2997
  • d. 3003
  • e. 3009
  • Answer: C

Q. 13
If P(n-1,3):P(n,3) = 1:9, find n.
  • a. 6
  • b. 7
  • c. 8
  • d. 9
  • e. 4
  • Answer: D

Q. 14
How many four-digit numbers are there with distinct digits?
  • a. 6547
  • b. 10000
  • c. 3600
  • d. 4536
  • e. 5040
  • Answer: D

Q. 15
In how many ways can 9 students be seated in a row such that the tallest child and the shortest child never sit together?
  • a. 564480
  • b. 282240
  • c. 141120
  • d. 70560
  • e. 23416
  • Answer: B

Score: 0/15