Chapter 1: Number System

Solution:-

True.

As per the standard rule, if a whole number is divided by another whole number, which is greater than the first one, the quotient is not equal to zero.

Solution:-

True.

Consider any non-zero whole number i.e. 5

5 is divided by itself = 5/5 = 1

Solution:-

False.

The product of two whole number is always a whole number.

Because, we know that, whole numbers are closed under multiplication.

Solution:-

True.

As per the standard rule, a whole number divided by another whole number greater than 1 never gives the quotient equal to the former.

Solution:-

True.

As per the standard rule, every multiple of a number is greater than or equal to the number.

2 × 1 = 2

2 × 3 = 6

Solution:-

False.

The number of multiples of a given number is infinite.

Because, we know that numbers are infinite.

Solution:-

True.

We know that, 1 is the identity for multiplication of whole numbers

Therefore, any number is multiplied by 1 we get the number itself.

Hence, every number is a multiple of itself.

Solution:-

True.

For example, 1 + 3 = 4 = 4/4 = 1

11 + 13 = 24 = 24/4 = 6

Solution:-

True.

As per the standard rule, if a number divides three numbers exactly, it must divide their sum exactly.

Let us consider one number i.e. 2, it divides 4, 6 and 8.

Then, sum of three numbers = 4 + 6 + 8

= 18 is exactly divisible by 2

Solution:-

False.