# Number System Questions With Solutions Q No 21 to Q No 40

In this post, you will get some important **Number System Questions with Solutions Q No 21 To Q No 40**. Questions will be solved soon.

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**Ques No 21:**

An Integer is multiplied by 2 and the result is then multiplied by 5. The final result could be

**Options:**

A. 64

B. 32

C. 12

D. 30

**Solution:**

**Ques No 22:**

If p, q, r, s and t real numbers such that r <s, t < q, q > p and t < r, which of these numbers is greatest

**Options:**

A. t

B. s

C. r

D. q

**Solution:**

**Ques No 23:**

The number N = 173889 is a perfect square. The sum of the digits in , is

**Options:**

A. 12

B. 7

C. 14

D. 9

**Solution:**

**Ques No 24:**

What is the value of M and N respectively if M39048458N is divisible by 8 and 11, where M and N are single digit integers?

**Options:**

A. 7, 8

B. 5, 4

C. 6, 4

D. 8, 6

**Solution:**

**Ques No 25:**

The different between two numbers in 2. Their product is 84 greatest than the square of the smaller number. The sum of the number is :

**Options:**

A. 164

B. 86

C. 84

D. 42

**Solution:**

**Ques No 26:**

If least prime factor of a number m Is 3 and least prime factor of another number n is 7, then Least prime factor of the number (m + n) is :

**Options:**

A. 2

B. 3

C. 5

D. 7

**Solution:**

**Ques No 27:**

A prime number is called a “Superprime” if doubling it, and then subtracting 1, result in another prime number. The number of Superprimes less then 15 is

**Options:**

A. 2

B. 3

C. 4

D. 8

**Solution:**

**Ques No 28:**

If x is a positive integer less than 100, the number of x which make an integer is:

**Options:**

A. 6

B. 7

C. 8

D. 9

**Solution:**

**Ques No 29:**

If N denotes the numbers of digits in the number (5^{84}).(2^{86}) then N equals

**Options:**

A. 83

B. 84

C. 85

D. 88

**Solution:**

**Ques No 30:**

The value of the digit d for which the number d456d is divisible by 18, is:

**Options:**

A. 3

B. 4

C. 6

D. 9

**Solution:**

**Ques No 31:**

Eighteen students participated in a table tennis contest. The students were divided into pairs numbered from 1 to 9. Even numbered pair consist of a boy and a girl and odd numbered pair consist of two boys. The number of boys participated in the contest is

**Options:**

A. 10

B. 12

C. 14

D. 11

**Solution:**

**Ques No 32:**

If n is a natural number then we define n! (pronounced as factorial n) to be the product n x (n – ) x (n – 2) x ……x 2 x 1. For example 4! = 4 x 3 x 2 x 1 = 24. If 6! = a! x b! where a > 1 and b > 1, then a + b is

**Options:**

A. 8

B. 7

C. 6

D. 5

**Solution:**

**Ques No 33:**

In the sequence …a, b, c, d, 0, 1, 1, 2, 3, 5, 8…. Each term is the sum of the two terms to its left. Find ‘a’.

**Options:**

A. -3

B. -1

C. 0

D. 1

**Solution:**

**Ques No 34:**

The positive integers A, B, A – B and A + B are all prime numbers. The sum of these four primes is

**Options:**

A. even

B. divisible by3

C. divisible by 5

D. prime

**Solution:**

**Ques No 35:**

If n is a positive integer, which one of the following numbers must have a remainder of 3 when divided by any of the numbers 4, 5 and 6?

**Options:**

A. 12n + 3

B. 24n + 3

C. 90n + 3

D. 120n + 3

**Solution:**

**Ques No 36:**

The digit at the 100^{th} place in the decimal representation of 6/7, is

**Options:**

A. 1

B. 2

C. 4

D. 5

**Solution:**

**Ques No 37:**

The digit at the 100^{th} place in the decimal representation of 6/7, is

**Options:**

A. 1

B. 2

C. 4

D. 5

**Solution:**

**Ques No 38:**

How many pairs of positive integer (n,m), with n m satisfy the equation 1/5 = 1/n + 1/m?

**Options:**

A. 1

B. 2

C. 3

D. 4

**Solution:**

**Ques No 39:**

A certain number when divided by 222 leaves a remainder 35, another number when divided by 407 leaves a remainder 47. What is the remainder when the sum of these two numbers is divided by 37?

**Options:**

A. 8

B. 9

C. 12

D. 17

**Solution:**

**Ques No 39:**

There is an N digit number (N > 1). If the sum of digits is subtracted from the numbers then resulting number will be divisible by

**Options:**

A. 7

B. 2

C. 11

D. 9

**Solution:**

**Ques No 40:**

Find the remainder when 2^{31} is divided by 5

**Options:**

A. 4

B. 5

C. 3

D. 7

**Solution:**