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Aptitude · Q545

Number System

Competitive Exams · Aptitude · question 545

Q545

If (12n + 1) is divisible by 13, then n is :

A.
1 only
B.
12 only
C.
Any odd integer
Answer
D.
Any even integer

Answer: Option C

Solution

Answer: Option C
Solution:
(xn + an) is divisible by (x + a) when n is odd.
∴ (12n + 1) is divisible by (12 + 1) i.e., 13 when n is odd.