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Question 80

In the following question, state whether the given statement is true (T) or false (F).
If a number exactly divides the sum of three numbers, it must exactly divide the numbers separately.

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Solution

False
If a number divides three numbers exactly, it must divide their sum exactly, but vice-versa is not true.
Example:
84 is divisible by 3. Also the sum of 40 + 19 + 25 = 84.
But 40 is not divisible by 3
19 is not divisible by 3
25 is not divisible by 3

Hence the given statement is false.


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