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If the number A is even, which of the following will be true?Options3A will always be divisible by 63A + 5 will always be divisible by 113A + 5 will always be divisible by 15All of these

Question

If the number A is even, which of the following will be true?Options3A will always be divisible by 63A + 5 will always be divisible by 113A + 5 will always be divisible by 15All of these

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Solution

Let's analyze each option:

  1. 3A will always be divisible by 6: This is true. If A is an even number, then multiplying it by 3 will result in a number that is divisible by 6. This is because 6 is a multiple of both 2 (which all even numbers are divisible by) and 3.

  2. 3A + 5 will always be divisible by 11: This is not necessarily true. For example, if A = 2, then 3A + 5 = 11, which is divisible by 11. However, if A = 4, then 3A + 5 = 17, which is not divisible by 11.

  3. 3A + 5 will always be divisible by 15: This is also not necessarily true. For example, if A = 10, then 3A + 5 = 35, which is not divisible by 15.

So, the correct answer is "3A will always be divisible by 6".

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