SSC CHSL 2020 PYQ — Question 64

SSC CHSL - 16th October 2020 - Shift 2 • Quantitative Aptitude • Q64

What number must be added to each of the numbers 8, 13, 26 and 40 so that the numbers obtained in this order are in proportion?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e 2.

Understanding/Application

Let the number added be x.

8 + x, 13 + x, 26 + x, 40 + x

(8 + x)/(13 + x) = (26 + x)/(40 + x)

(8 + x) (40 + x) = (26 + x) (13 + x)

320 + 8x + 40x + x2 = 338 + 26x + 13x + x2

320 + 48x = 338 + 39x

48x - 39x = 338 - 320

9x = 18

x = 2