#### A number is divisible by 12. By what other numbers will that number be divisible?

**Solution:**

A number is divisible by both 3 and 8. By which other numbers will that number be always divisible?

**Solution:**

#### State whether the following statements are true (T) or false (F):

(i) If a number is divisible by 4, it must be divisible by 8.

(ii) If a number is divisible by 3, it must be divisible by 9.

(iii) If a number is divisible by 9, it must be divisible by 3.

(iv) If a number is divisible by 9 and 10 both, it must be divisible by 90.

(v) If a number divides two numbers separately, then it must divide their sum.

(vi) If a number divides the sum of two numbers, then it must divide the two numbers separately. .

(vii) If a number is divisible by 3 and 8 both, it must be divisible by 12.

(viii) If a number is divisible by 6 and 15 both, it must be divisible by 90.

**Solution:**

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