Permutations, Combinations, Sequences & Series — Practice

Question 1

A person can travel from city A to city B by 4 routes and from B to C by 3 routes. The number of ways of travelling from A to C via B is

Accepted Answer

B

Question 2

From 8 persons, the number of ways of selecting a committee of 3 is

Accepted Answer

B

Question 3

The number of ways in which 6 persons can be seated around a circular table is

Accepted Answer

B

Question 4

The number of distinct arrangements of the letters of the word STATISTICS is

Accepted Answer

B

Question 5

If nC8 = nC12, then n equals

Accepted Answer

B

Question 6

The number of ways in which 5 boys and 3 girls can be seated in a row so that the 3 girls always sit together is

Accepted Answer

C

Question 7

The 15th term of the arithmetic progression 7, 11, 15, 19, ... is

Accepted Answer

A

Question 8

The sum of the first 20 terms of the arithmetic progression 3, 7, 11, 15, ... is

Accepted Answer

A

Question 9

The sum of the first 6 terms of the geometric progression 2, 6, 18, 54, ... is

Accepted Answer

A

Question 10

The sum of the infinite geometric series 8 + 4 + 2 + 1 + ... is

Accepted Answer

A

Question 11

From 6 men and 4 women, a committee of 5 is to be formed containing at least 3 women. The number of ways is

Accepted Answer

C

Question 12

A person saves 200 rupees in the first month and increases the saving by 50 rupees each month. The total saved in 24 months is

Accepted Answer

A

Question 13

A machine costing 10,00,000 rupees depreciates at 20% per annum on the written down value. Its value at the end of 3 years is

Accepted Answer

A

Question 14

The number of 4-digit numbers that can be formed from the digits 1, 2, 3, 4, 5 without repetition, which are greater than 3,000, is

Accepted Answer

A

Question 15

If the third term of a GP is 12 and the sixth term is 96, the first term is

Accepted Answer

B

Practice — Permutations, Combinations, Sequences & Series