Question

1.If the number A is even, which of the following will be true?​

Answer 1

Answer:

3A will always be divisble by 6

Answer 2

Question,

If the number A is even, which of the following will be true -

3A is divisible by 6

Answer,

The statement is true, 3A is divisible by 6.

Given,

A → Even number

To Find,

If 3A is divisible by 6

Solution,

The factors of 6 are → 2 * 3

So, for a number to be divisible by 6, it should be divisible by 2 and 3 both.

Since A is an even number, it will be divisible by 2 for sure as all the even numbers are multiples of 2.

Thus, 3A will also be divisible by 2, and since 3 has been multiplied, it is also divisible by 3.

Now that we know 3A is divisible by both 2 and 3 we can say that it is divisible by 6 as well.

Hence the statement is true.

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