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If 213 × 27 is divisible by 9, then the value of x is 0. - Mathematics

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Question

If 213 × 27 is divisible by 9, then the value of x is 0. 

Options

  • True

  • False

MCQ
True or False

Solution

This statement is False.

Explanation:

Given, 213 × 27 is divisible by 9, so sum of its digits is also divisible by 9.

i.e. 2 + 1 + 3 + x + 2 + 7 = 0, 9, 18, 27, 36,...

⇒ x + 15 = 0, 9, 18, 27, 36,...

⇒ x + 15 = 18   ...[x is a digit of a number]

⇒ x = 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 43. | Page 411
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