Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:
Find the remainder when $9^{6}+7$ is divided by 8.
Answer
Answer (as printed):
Explanation
(xn – an) is divisible by (x – a) for all values of n. So, (96 – 1) is divisible by (9 – 1), i.e. 8 ⇒ (96 – 1) + 8 is divisible by 8 ⇒ (96 + 7) is divisible by 8. Hence, required remainder = 0.
Explanation as extracted from the printed page; notation may be imperfect.