SSC CGL 2022 PYQ — Question 73

The correct answer is Option 2 i.e. 243/25.

Given:

A = 15 when B = 27 and C = 2

Also A = $k _1\sqrt{B}$ and A = $k_2 \over C^3$ 

Where k₁ and k₂ are proportionality constants.

Explanation:

From the given question,

⇒ 15 = $k _1\sqrt{27}$ 

⇒ k₁ = $15 \over 3 \sqrt{3}$

⇒ k₁ = $5 \over \sqrt{3}$

Now, when A = 9

Then 9 = $5 \over \sqrt{3}$ × $\sqrt{B}$

⇒ $\sqrt{B}$ = $9 \sqrt{3} \over 5$

Squaring both sides we get

B = 243/25

Hence the value of B = 243/25