If the number 7254 * 98 is divisible by 22, the digit at * is ______. - Mathematics

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MCQ
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If the number 7254 * 98 is divisible by 22, the digit at * is ______.

Options

  • 1

  • 2

  • 6

  • 0

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Solution

If the number 7254 * 98 is divisible by 22, the digit at * is 6.

Explanation:

7254 * 98 is divisible by 22, if it is divisible by both 2 and 11.

Given number is even, therefore it is divisible by 2.

7254 * 98 is divisible by 11, if (7 + 5 + * + 8) – (2 + 4 + 9) or (20 + *) – 15 or 5 + * is divisible by 11.

∴ The digit at * should be filled by 6.

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Chapter 1: Number System - Exercise [Page 8]

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NCERT Exemplar Class 6 Mathematics
Chapter 1 Number System
Exercise | Q 29 | Page 8

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