Question

What is the remainder when 8035 is divided by 81?

A 2 Correct Answer Incorrect Answer
B 4 Correct Answer Incorrect Answer
C 3 Correct Answer Incorrect Answer
D 1 Correct Answer Incorrect Answer

Solution

By remainder theorem , when (a+b)N divided by a, the remainder will be bN.
8035 when divided by 81.
Or (81-1)35 when divided by 81.
Remainder will be (-1)35 or -1.
Hence remainder will be -1 + 81 = 80.

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