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If a number divides three numbers exactly, it must divide their sum exactly. - Mathematics

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Question

If a number divides three numbers exactly, it must divide their sum exactly.

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is True.

Explanation:

It is a general property so it is always true.

E.g., say 3 divides 6, 9 and 12 exactly.

Then, Sum = 6 + 9 + 12 = 27, which is exactly divisible by 3.

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Chapter 1: Number System - Exercise [Page 11]

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NCERT Exemplar Mathematics [English] Class 6
Chapter 1 Number System
Exercise | Q 79. | Page 11
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