Multiple choice

In this question two equations numbered I and II are given. You have to solve both the equations and mark the appropriate option. $(I. 0.4 p - 1.5 q = 6.5\II. 0.3 p + 0.2 q = 0.9)$

  1. If p < q

  2. If p ≥ q

  3. If p ≤ q

  4. If p > q

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

Solving equation II: 0.3p = 0.9 - 0.2q, so p = 3 - (2/3)q. Substituting in equation I: 0.4(3 - 2q/3) - 1.5q = 6.5, which gives 1.2 - (0.8/3)q - 1.5q = 6.5. Solving: 1.2 - 1.767q = 6.5, so -1.767q = 5.3, giving q ≈ -3. Then p = 3 - (2/3)(-3) = 3 + 2 = 5. Since p = 5 > q = -3, the answer is p > q.

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