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SSC Selection Post 2020 PYQ — Question 53

SSC Selection Post - Graduation Level 2020 - 14 Dec 2020 - Shift 3 • Quantitative Aptitude • Q53

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If a positive integer 'n' is divided by 7, the remainder is 4. What is the remainder if '5n' is divided by 7?

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 6.

When n is divided by 7, the remainder = 4

So, n = 7k + 4 for some integer k

Now,

⇒ 5n = 5(7k + 4)

⇒ 5n = 35k + 20

⇒ 5n = 35k + 14 + 6

⇒ 5n = 7(5k + 2) + 6

Thus, remainder = 6