Multiple choice

Given below are two quantities named I and II. Based on the given data, you have to determine the relation between them and mark the answer Quantity I- Three persons A,B and C can complete a work in 30 days. A and C together can complete the work in half the time taken by B alone, A and B together are thrice as efficient than C. In what time will B alone finish the work. Quantity II- two persons P and Q can finish a piece of work in 12 days. If P works thrice its efficiency and Q half of its efficiency, then the work is completed in 8 days. In what time P will complete thrice the work.

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or relation can not be established
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Quantity I: Let total work = 1 unit. From given conditions, solving gives B alone takes 60 days. Quantity II: With changed efficiencies (3P, Q/2), work finishes in 8 days. This gives impossible negative value for P's time, indicating inconsistent problem statement. Relation cannot be established.

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