Multiple choice

In each question two equations numbered I and II are given. You have to solve both the equations and mark the appropriate answer. (I) (3p + 5q = 4) (II) (6p – 7q = 25)

  1. If p > q

  2. If p ≥ q

  3. If p < q

  4. If p ≤ q

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

Solve the system of equations. From (I): 3p + 5q = 4. From (II): 6p - 7q = 25. Multiply (I) by 2: 6p + 10q = 8. Subtract this from (II): (6p - 7q) - (6p + 10q) = 25 - 8, which gives -17q = 17, so q = -1. Substitute q = -1 in (I): 3p + 5(-1) = 4, so 3p - 5 = 4, giving 3p = 9 and p = 3. Since p = 3 > q = -1, option A (p > q) is correct.

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