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If the difference between the sum of digits at odd places (from the right) and the sum of digits at even places (from the right) of a number is either 0 or divisible by _____, then the number - Mathematics

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Question

If the difference between the sum of digits at odd places (from the right) and the sum of digits at even places (from the right) of a number is either 0 or divisible by _____, then the number is divisible by 11.

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Solution

If the difference between the sum of digits at odd places (from the right) and the sum of digits at even places (from the right) of a number is either 0 or divisible by 11, then the number is divisible by 11.

Explanation:

According to the divisibility test for 11, if the difference between the sum of digits at odd places and sum of digits at even places of a number is either 0 or divisible by 11, then number is divisible by 11.

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Chapter 1: Number System - Exercise [Page 15]

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NCERT Exemplar Mathematics [English] Class 6
Chapter 1 Number System
Exercise | Q 148 | Page 15

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