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If the sum of digits of a number is divisible by three, then the number is always divisible by ______. - Mathematics

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Question

If the sum of digits of a number is divisible by three, then the number is always divisible by ______.

Options

  • 2

  • 3

  • 6

  • 9

MCQ
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Solution

If the sum of digits of a number is divisible by three, then the number is always divisible by 3.

Explanation:

We know that, if sum of digits of a number is divisible by three, then the number must be divisible by 3, i.e. the remainder obtained by dividing the number by 3 is same as the remainder obtained by dividing the sum of its digits by 3.

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Chapter 13: Playing With Numbers - Exercise [Page 409]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 13 Playing With Numbers
Exercise | Q 11. | Page 409
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