Multiple choice

In each of the following question, two equations (I) and (II) are given. You have to solve them and find the correct relationship- $I. (p^2 - 8p + 15 = 0)$ $II. (q^2 = 25)$

  1. If p > q

  2. If p ≤ q

  3. If p ≥ q

  4. If p < q

  5. If p = q or relationship cannot be established
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Solving the first equation: p² - 8p + 15 = 0 factors to (p-3)(p-5) = 0, giving p = 3 or p = 5. Solving the second: q² = 25 gives q = 5 or q = -5. When we compare all possible pairs (3,5), (3,-5), (5,5), (5,-5), we get p < q, p > q, p = q, and p > q respectively. Since multiple relationships are possible, the relationship cannot be uniquely established.

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