हिंदी

Without Performing Actual Division, Find the Remainder When 928174653 is Divided by 11. - Mathematics

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प्रश्न

Without performing actual division, find the remainder when 928174653 is divided by 11.

योग

उत्तर

928174653 = A multiple of 11 + (Sum of its digits at odd places - Sum of its digits at even places)
928174653 = A multiple of 11 + {(9 + 8 + 7 + 6 + 3) - (2 + 1 + 4 + 5)}
928174653 = A multiple of 11 + (33 - 12)
928174653 = A multiple of 11 + 21
928174653 = A multiple of 11 + (11 x 1 + 10)
928174653 = A multiple of 11 + 10
Therefore, the remainder is 10.

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अध्याय 5: Playing with Numbers - Exercise 5.2 [पृष्ठ २०]

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आरडी शर्मा Mathematics [English] Class 8
अध्याय 5 Playing with Numbers
Exercise 5.2 | Q 11 | पृष्ठ २०
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