SSC GD 2019 PYQ — Question 54

SSC GD Constable (English) - 15 Feb 2019 Shift 1 • Quantitative Aptitude • Q54

What will be the average of 16, 17, 18, ..... upto fifteen terms?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 23.

Understanding/Application

Sum of the terms in the series = n[2a + (n - 1)d]/2

where n = number of terms, a = first term, d = difference between any two terms

Sum of the terms = 15[2(16) + (15 - 1)1]/2 = 15[32 + 14]/2 = 15[23] = 345

Average = 345/15 = 23