Multiple choice

In each of the following questions, two equations are given. You have to solve them and give answer. I. (p^2 + 12p + 35 = 0) II. (2q^2 + 22q + 56 = 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
C Correct answer
Explanation

Equation I: p² + 12p + 35 = 0 → (p+5)(p+7) = 0, so p = -5 or p = -7. Equation II: 2q² + 22q + 56 = 0 → dividing by 2: q² + 11q + 28 = 0 → (q+4)(q+7) = 0, so q = -4 or q = -7. When q = -7, p can equal -7 (p = q). When q = -4, p values (-5, -7) are less than -4, so p < q. Therefore p ≤ q is always true. Option C is correct.

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