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3 × 5 is divisible by 9 if the digit x is ______. - Mathematics

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Question

3 × 5 is divisible by 9 if the digit x is ______.

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Solution

3 × 5 is divisible by 9 if the digit x is 1.

Explanation:

Since, the number 3 × 5 is divisible by 9, then the sum of its digits is also divisible by 9. i.e. 3 + x + 5 is divisible by 9.

⇒ x + 8 can take values 9, 18, 27,...

But x is a digit of the number 3 × 5, so x = 1.

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Chapter 13: Playing With Numbers - Exercise [Page 410]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 13 Playing With Numbers
Exercise | Q 20. | Page 410
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