Question of Solved Examples

# Question A milk man has two cans of 40 and 60 litres full of milk. Find the maximum capacity of that pot by which milkman can measure milk of both cans when used in exact number of times.

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.