1.

By which of the following numbers should `3^(5)` be divided to obtain a remainder 3 ?A. 7B. 11C. 5D. 3

Answer» Correct Answer - C
`3^(5) -= 3` (mod x) `rArr 243 = 3` (mod x)
`rArr 243 - 3` is divisible by x
`rArr 240` is divisible by x.
`:.` From the options, x = 5.


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