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A three-digit number abc is divisible by 6 if c is an even number and a + b + c is a multiple of 3. - Mathematics

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Question

A three-digit number abc is divisible by 6 if c is an even number and a + b + c is a multiple of 3.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is True.

Explanation:

If a number is divisible by 6, then it is divisible by both 2 and 3. Since, abc is divisible by 6, it is also divisible by 2 and 3. Therefore, c is an even number and the sum of digits is divisible by 3, i.e. multiple of 3.

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Chapter 13: Playing With Numbers - Exercise [Page 411]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 13 Playing With Numbers
Exercise | Q 37. | Page 411

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