SSC CGL 2022 PYQ — Question 67

SSC CGL - 02 Dec 2022 - Shift 3 • Quantitative Aptitude • Q67

What is the ratio of the fourth proportional of 2, 5, 6 to the fourth proportional of 6, 8, 9?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 5 : 4.

Formula used:

The fourth proportion of a, b, c and x

⇒ x = bc/a            ----- (1)

Calculations:

Let the fourth proportional of 2, 5, 6 be m.

⇒ m = 5 × 6/2 = 15

Let the fourth proportional of 6, 8 and 9 be n

⇒ n = 8 × 9/6 = 12

Required ratio = m : n = 15 : 12 = 5 : 4