Question

Suppose, the remainder obtained while dividing x by 61 is 2. What is the remainder obtained while dividing x7 by 61

Answer 1

Given : the remainder obtained while dividing x by 61 is 2

To find : What is the remainder obtained while dividing x7 by 61

Solution:

the remainder obtained while dividing x by 61 is 2

=> x  = 61N  + 2

x7  = 10(61N  + 2) + 7

= 610N  + 27

=> x7 = 61(10N)  + 27

remainder = 27

example   63 = 61  * 1   + 2  - remainder 2

637  = 61 * 10  + 27    remainder  27

124 = 61 *2   + 2   - remainder 2

1247 = 61 * 20  + 27    remainder  27

remainder obtained while dividing x7 by 61 will be 27    if , the remainder obtained while dividing x by 61 is 2

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