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If 123123A4 is divisible by 11, find the value of A.

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Question

If 123123A4 is divisible by 11, find the value of A.

Sum
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Solution

Given, 12312344 is divisible by 11, then we have (1 + 3 + 2 + 4) – (2 + 1 + 3 + 4) is a multiple of 11.

i.e. (6 + 4) – 10 = 0, 11, 22,...

⇒ A – 4 = 0, 11, 22,...

⇒ A – 4 = 0  ...[A is a digit of the given number]

⇒ A = 4

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Chapter 13: Playing With Numbers - Exercise [Page 413]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 13 Playing With Numbers
Exercise | Q 73. | Page 413

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