Multiple choice

In each of the following question, two equations are given. You have to solve them and give answer. I. (p^2 - 7p = -12) II. (q^2 - 3q + 2 = 0)

  1. If p < q

  2. If p > q

  3. If p ≤ q

  4. If p ≥ q

  5. If p = q or relation between p and q cannot be established.

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

Equation I: p² - 7p = -12 → p² - 7p + 12 = 0 → (p-3)(p-4) = 0, so p = 3 or 4. Equation II: q² - 3q + 2 = 0 → (q-1)(q-2) = 0, so q = 1 or 2. Since all values of p (3, 4) are greater than all values of q (1, 2), p > q. This makes option B correct.