ABC26GN0374 · Number System

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

By how many of the following numbers is $2^{12}-1$ divisible? 2, 3, 5, 7, 10, 11, 13, 14

(a)4

(b)5

(c)6

(d)7

Answer

Answer (as printed): A

Explanation

$\left(2^{12}-1\right)=(4096-1)=4095$, which is clearly divisible by 3, 5, 7 and 13 i.e. four numbers in all.

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