Question

If a number is divisible by 3, it must be divisible by 9.Justify the statement whether it is True or False?

Answer 1

This statement is true. Let us take some examples to prove this statement wrong -

15

69

31533

As we can see from the above examples, all these numbers are divisible by 3, but not by 9.

Hence, proved.

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Answer 2

Answer:

False.

Step-by-step explanation:

Here in this question, we are said to justify the statement that if a number is divisible by 3, it must be divisible by 9.

Now, the multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30,  ...... etc.

Again the multiples of 9 are 9, 18, 27, 36, ........ etc.

Therefore, the common multiple are 9, 18, 27, ...... etc.

Hence, there are some multiple of 3 like, 3, 6, 12, 15, ..... etc., which are not multiples of 9 i.e. not divisible by 9.

Hence, the statement is false. (Answer)