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Aptitude · Q495

Number System

Competitive Exams · Aptitude · question 495

Q495

(96 + 1) when divided by 8, would leave a remainder of :

A.
0
B.
1
C.
2
Answer
D.
3

Answer: Option C

Solution

Answer: Option C
Solution:
(xn - an) is divisible by (x - a) for all values of n
∴ (96 - 16) is divisible by (9 - 1)
⇒ (96 - 1) is divisible by 8
⇒ on dividing (96 + 1) by 8, we get 2 as remainder.