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A four-digit number abcd is divisible by 11, if d + b = ______ or _____. - Mathematics

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प्रश्न

A four-digit number abcd is divisible by 11, if d + b = ______ or _____.

रिक्त स्थान भरें

उत्तर

A four-digit number abcd is divisible by 11, if d + b = a + c or 12(a + c).

Explanation:

We know that, a number is divisible by 11, if the difference between the sum of digits at odd places and the sum of its digits at even places is either 0 or a multiple of 11.

Hence, abcd is divisible by 11, if (d + b) – (a + c) = 0, 11, 22, 33, ...

⇒ d + b = a + c or d + b = 12(a + c)

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अध्याय 13: Playing With Numbers - Exercise [पृष्ठ ४११]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 13 Playing With Numbers
Exercise | Q 28. | पृष्ठ ४११

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