If p varies directly to q and p1 = 15, q1 = 630, and p2 = 6, then find the value of q2.

Correct option is D

Given:
p ∝ q (i.e., p varies directly with q)
p₁ = 15, q₁ = 630, p₂ = 6
Formula Used:
Since p ∝ q, we use:
​$$\frac{p_1}{q_1} = \frac{p_2}{q_2}$$​​
Solution:
Substitute the values into the formula:
​$$\frac{15}{630} = \frac{6}{q_2}\\15 \times q_2 = 6 \times 630\\\ \\q_2 = \frac{6 \cdot 630}{15}\\\ \\q_2 = \frac{3780}{15} = 252\\\ \\$$​​