ABC26GN0224 · Number System

Subject: General Aptitude · Chapter: Number System · Exam: 2007 · Marks: · Difficulty:

If $m$ and $n$ are natural numbers such that $2^{m}-2^{n}=$ 960, what is the value of $m$ ?

(a)10

(b)12

(c)15

(d)Cannot be determined

Answer

Answer (as printed): A

Explanation

$2^{m}>960$ when the least value of $m$ is 10 . Then, $2^{10}=1024$ and $1024-960=64=2^{6}$. $$\therefore m=10 \text { and } n=6 \text {. }$$

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