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CBSE Class 10 Answered

A number N contain only the digit 5 and it is exactly divisible by 373. Then the remainder when N/373 is divided by 10,000 is
Asked by dhanyahari13 | 07 Oct, 2020, 08:53: PM
answered-by-expert Expert Answer
Let r be the remainder and N be the number 55...55
As N/373 is divided by 1000, we have
55...55/373 = r + 1000x
55...55 = 373r + 1000(373x)
But space 3 space identical to space 5 straight r space left parenthesis mod space 8 right parenthesis For space 2535 comma space this space condition space is space satisfied. Hence comma space the space answer space is space 2535. space
Answered by Renu Varma | 17 Dec, 2020, 11:40: AM

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