Multiple choice

Directions: In this question, two equations (I) and (II) are given. You have to solve both the equations and give the answer. (I) p2 + 5p + 6 = 0 (II) 9q - q2 = 0

  1. p > q

  2. p < q

  3. p ≥ q

  4. p ≤ q

  5. p = q, or no relation can be established between 'p' and 'q'.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

I: p^2 + 5p + 6 = 0 => (p+2)(p+3) = 0 => p = -2, -3. II: 9q - q^2 = 0 => q(9-q) = 0 => q = 0, 9. Comparing values, p < q in all cases.

AI explanation

Factoring equation I gives (p + 2)(p + 3) = 0, so the roots are p = -2 and p = -3. Factoring equation II gives q(9 - q) = 0, meaning the roots are q = 0 and q = 9. Since both values of p are negative and both values of q are non-negative, p is always less than q.

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