SSC MTS 2023 PYQ — Question 8

SSC MTS - 03 May 2023 - Shift 2 • Quantitative Aptitude • Q8

If the third proportion of 3 and x is 27 and the third proportion of 2 and y is 8, then find x : y.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 9 : 4.

The third proportion of 3 and x is 27

= 3 : x : 27

= 3/x = x/27

x2 = 81

x = 9

The third proportion of 2 and y is 8

2 : y : 8

= 2/y = y/8

y2 = 16

y = 4

So, the ratio of x : y = 9 : 4