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SSC CGL 2018 PYQ — Question 8

SSC CGL Tier II Quant - 09/03/2018 • Quantitative Aptitude • Q8

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Which of the following statement(s) is/are TRUE?

I. Highest common factor of (32002 – 1) and (32002 + 1) is 4

II. (484 − 1) is exactly divisible by 5

Show answer & explanation

Correct answer: B

Explanation

The correct option is 2.

(32002 − 1) gives a lowest factor of (3 − 1) = 2.

And (32002 + 1) gives a lowest factor of (3 + 1) = 4.

So, they both have HCF of 2.

So, (I) is not correct.

Now,

So,  = reminder of (−1)84 = reminder of 1.

So, , it will give a reminder of (1-1) = 0.

So, (II) is correct .