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

STAY IN THE LOOP

Subscribe to our free newsletter.

Don’t have an account yet? Get started with a 12-day free trial

• Reading Comprehension Select In Passage GRE Practice Test 5

Q. 1 Which sentence mentions a leadership practice? It is impossible to know what direction to take, and to know when you have reached your goals without a plan. You have to decide where you are now in your life, and where you want to be. This is what leaders do for their team; help […]

• Reading Comprehension Select In Passage GRE Practice Test 4

Q. 1 Which sentence outweighs ‘how’ over ‘what’? Package the information with vocal variety and pitch, active body language and style to make it interesting. Believe in your message and let them know how much you believe in it. Passion is captivating, contagious and more convincing than logic. Whether your presentation is “perfect” or not […]

• Reading Comprehension Select In Passage GRE Practice Test 3

Q. 1 In which sentence is discipline promoted? Families can have time reserved for reading, thus even if the child is reluctant he knows that this time is reserved for reading, irrespective of what the reading material is. It is very commonly heard about daily allowance for the children but book allowance is something that […]

• Reading Comprehension Select In Passage GRE Practice Test 2

Q. 1 In which sentence does the author mean to lay a foundation? Children whose parents indulge in reading also happen to pick up this quality systematically, parents in this case acting as model readers. Reading aloud to the children or perhaps making room for your child’s favorite books, can bring out a feeling of […]