Multiple choice

In each question given below, two equations numbered as I and II are given. You have to solve both the equations and mark appropriate answer. (I. \ 3p^2 - 13p + 14 = 0 ) (II. \ 2q^2 - 17q + 33 = 0)

  1. If p > q

  2. If p ≤ q

  3. If p < q

  4. If p ≥ q

  5. If p = q or relationship can't be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Solving equation I: 3p² - 13p + 14 = 0 factors as (3p - 7)(p - 2) = 0, giving p = 7/3 ≈ 2.33 or p = 2. Solving equation II: 2q² - 17q + 33 = 0 factors as (2q - 11)(q - 3) = 0, giving q = 5.5 or q = 3. Comparing: 7/3 < 3, 7/3 < 5.5, 2 < 3, 2 < 5.5. In all cases, p < q.

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