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Q.

Is it true that if a number completely divides the sum of two numbers, then it completely divides the numbers separately?


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a

True

b

False 

answer is B.

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Detailed Solution

A number completely divides the sum of two numbers, then it exactly divides the numbers separately.
Let's take an example to understand the statement,
Taking two numbers 4 and 5,
4+5=9
We know 9 is divisible by 3 completely.
But, 4 and 5 both are not divisible by 3.
Therefore, our statement is false.
If a number exactly divides the sum of two numbers, then it is not necessary that the number divides the exact numbers separately.
Hence, option 2 is correct.
 
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