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SSC CGL 2018 PYQ — Question 10

SSC CGL Tier II Quant - 09/03/2018 • Quantitative Aptitude • Q10

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N = 248 − 1 and N are exactly divisible by two numbers between 60 and 70. What is the sum of those two numbers?

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Correct answer: A

Explanation

The correct option is 1.

248 − 1

= (224 + 1) (224 − 1)

= (224 + 1) (212 + 1) (212 − 1).

= (224 + 1) (212 + 1) (26 + 1) (26 − 1) .

So, Those two numbers are (26 + 1) and (26 − 1).

or, 65 and 63.

Sum of these numbers = 65 + 63 = 128.

A is correct choice.