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SSC Selection Post 2022 PYQ — Question 59

SSC Selection Post - Higher Secondary Level 2022 - 11 Feb 2022 - Shift 1 • Quantitative Aptitude • Q59

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The average of a set of 20 consecutive integers is 25.5. What is the smallest integer in the set?

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 16.

In 20 consecutive integers, the average = the middle of the two middle numbers

So, average = n+(n+19)2n+(n+19)\over2 = 25.5

⇒ 2n + 19 = 51

⇒ 2n = 32

⇒ n = 16