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Aptitude · Q556

Number System

Competitive Exams · Aptitude · question 556

Q556

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

A.
10
Answer
B.
12
C.
15
D.
Cannot be determined

Answer: Option A

Solution

Answer: Option A
Solution:
2m > 960 when the least value of m is 10
Then, 210 = 1024 and 1024 - 960 = 64 = 26
∴ m = 10 and n = 6