ABC26GN0310 · Number System

Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:

If $n$ is any positive integer, $3^{4 n}-4^{3 n}$ is always divisible by

(a)7

(b)12

(c)17

(d)145

Answer

Answer (as printed): C

Explanation

Putting $n=1$, we get $\left(3^{4 n}-4^{3 n}\right)=\left(3^{4}-4^{3}\right)=(81-64)=17$, which is divisible by 17.

Explanation as extracted from the printed page; notation may be imperfect.