Question of Solved Examples

# Question n is a whole number which when divided by 5 gives 3 as remainder. What will be the remainder when 2n is divided by 5?

Find the difference (56) minus (34)

Solution:

Explanation:

Given,

5/6-3/4

LCM of 6 and 4 is 12

⇒5×2/6×2-3×3/4×3

⇒10/12-9/12

⇒(10-9)/12

⇒1/12

Hence, The difference of 5/6-3/4 is1/12 .

Give four rational numbers equivalent to

(i)-2/7 (ii) 5/-3 (iii) 4/9

Solution:

State true or false Every integer is a rational number

A: True

B: False

Solution:

Explanation:

Zero, natural numbers and their additive inverse all together are known as integers.

Integers are denoted by Z.

A number that can be represented in the form pq form where q  0.

Integers are a combination of positive and negative numbers.

Therefore, we can say that every integer can be represented in the form pq  where q  0 (Rational Number).

Option A: True is correct.

The smallest composite number is

A: 2

B: 4

C: 1

D: None of these

Solution:

Explanation:-

A composite number is a natural number, i.e. counting numbers that have more than two factors.

That means a composite number is a number that is divisible by more than two numbers.

In other words, a natural number which is not a prime is a composite number other than 1.

For example: - let us consider the natural number 10. 10 is divisible by 1, 2, 5, and 10 itself which means it has more than two factors.

So, 10 is a composite number.

Some other composite numbers are - 4, 6, 8, 9, 10, 12,….. etc.

4 is the first and smallest composite number.