Question 79

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

Solution

Since 2^10 is 1024, so we will look for value of m to be greater and equal to 10.

Let m = 10, then

1024-960 = 64, [equation given]

Since 64 is of the form 2^m, then

so n = 6, satisfies the equation.

Hence A

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