Multiple choice

In each of the following questions, two equations are given. You have to solve them and give answer I. (12p^2 – 7p = – 1) II. (6q^2 – 7q + 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
A Correct answer
Explanation

Equation I: 12p² - 7p = -1 → 12p² - 7p + 1 = 0. Factoring: (3p-1)(4p-1) = 0, so p = 1/3 or p = 1/4. Equation II: 6q² - 7q + 2 = 0 → (2q-1)(3q-2) = 0, so q = 1/2 or q = 2/3. Comparing: 1/4 < 1/3 < 1/2 < 2/3. Both values of p (1/4, 1/3) are less than both values of q (1/2, 2/3), so p < q. Option A is correct.

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