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Question

Given that 312 is divisible by 26. It will also be divisible by ________.


A

7

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B

9

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C

11

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D

13

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Solution

The correct option is D

13


For any two numbers x and y, if x is divisible by y, then x is also divisible by each factor of y.

For example, 12 is divisible by 6, and 2 is a factor of 6. so, 12 is also divisible by 2.

Now, factors of 26 = 1, 2, 13, 26

312 is divisible by 26, hence it is also divisible by 13.


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