Q.

The remainder when the number 3256−312 is divided by 8 is

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a

0

b

3

c

4

d

7

answer is A.

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Detailed Solution

3256−312=3123244−1=(1+8)6(1+8)122−1=(1+8λ)(1+8μ−1)=8μ(1+8λ)So, number is divisible by 8.
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The remainder when the number 3256−312 is divided by 8 is