SSC CGL 2022 PYQ — Question 60

SSC CGL - 06 Dec 2022 - Shift 1 • Quantitative Aptitude • Q60

The mean proportional of a and b is c. What is the mean proportional of a2 c and b2 c?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. c3.

Given:

Mean proportional of a and b is c.

Concept Used:

Mean proportional of a and b, c = ab\sqrt{ab}  ....(i)

Explanation:

From equation (i), we get c2 = ab

⇒ ab = c2

So mean proportional of a2 c and b2 c = a2c×b2c\sqrt{a^2 c \times b^2 c}

⇒ a2×b2×c2\sqrt{a^2 \times b^2 \times c^2} 

⇒ abc

⇒ c2.c = c3

Hence the mean proportional of a2 c and b2 c is c3.