Ans: To find the range of q/p we need to find out the min and the max value of the expression:
Given, 2<q<6 & 1<p<4.
To maximize the ratio q/p, we need to to maximize ‘q’ and minimize ‘p’.
Max(q/p) = Max(q)/ Min(p) = 5/2
To minimize q/p, we need to to minimize ‘q’ and maximize ‘p’.
Min(q/p) = Min(q)/ Max(p) = 3/3=1
Thus, 1 ≤ (q/p) ≤ 5/2.
Option C is correct.
Shortcut in these type of range questions would be to look at the options and notice that only Option C has an extreme value ‘6’ and start thinking about the maximum boundary value for q/p. The max boundary value for q/p would be 6/1 or 6. No other answer option satisfies this.