Multiple choice

In each of the following questions, two equations are given. You have to solve them and give answer- I. (2p^2 + 8p = 192) II. (q^2 -4q - 140 = 0)

  1. If p = q or relationship can’t be established.

  2. If p > q

  3. If q > p

  4. If p ≥ q

  5. If q ≥ p
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A Correct answer
Explanation

Solving 2p² + 8p = 192 gives p² + 4p - 96 = 0, so (p+12)(p-8) = 0, meaning p = -12 or p = 8. Solving q² - 4q - 140 = 0 gives (q-14)(q+10) = 0, so q = 14 or q = -10. Comparing all combinations: p can be less than, equal to, or greater than q, so no consistent relationship exists.

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