Multiple choice

In each of these question two equations numbered I and II are given. You have to solve both the equations and give answer if - I. (p^2 + 13p + 42 = 0) II. (q^2 + 19q + 90 = 0)

  1. p < q

  2. p > q

  3. p ≤ q

  4. p ≥ q

  5. p = q or no relation between p and q can be established

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Factor p² + 13p + 42 = 0 as (p+6)(p+7) = 0, giving p = -6 or p = -7. Factor q² + 19q + 90 = 0 as (q+9)(q+10) = 0, giving q = -9 or q = -10. Since all p values are greater than all q values (-6, -7 > -9, -10), p > q is correct.