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5×2 a Multiple of 11? - Mathematics

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Sum

5 × 2 a multiple of 11?

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Solution

Sum of a digit in even place = x

and sum of the digits in odd place = 5 + 2 = 7

Difference of the sum of the digits in even places and in odd places = x – 7

5×2 is a multiple of 11

⇒ x – 7 = 0, 11, 22,

⇒ x = 7, 18, 29,

Since, x is a digit

x = 7

Concept: Tests for Divisibility of Numbers - Divisibility by 11
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 5 Playing with Numbers
Exercise 5 (D) | Q 11 | Page 62
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