SSC CGL 2023 PYQ — Question 56

SSC CGL - 19 July 2023 - Shift 1 • Quantitative Aptitude • Q56

A varies directly as (B + 18) and A = 108 when B = 36. Find the value of A when B = 68.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 172.

Given that

A ∝ (B + 18) , A = 108 when B = 36

According to the question

A = k (B + 18)

where, k is a constant

if A = 108, B = 36

Now, 108 = k (36 + 18)

k = 108/54 = 2

Thus, A = 2(B + 18)

now, B = 68

A = 2 (68 + 18) = 2 × 86 = 172