Multiple choice

Each question below contains a statement followed by Quantity I and Quantity II. Find the relationship among them and give your answer as: Quantity I: A takes twice as much time as B and thrice as much time as C to finish a piece of work. Working together they can finish the work in 6 days. C can do the work alone in? Quantity II: 30 men can complete a work in 16 days. They started working but after 6 days, 20 more men joined them. How many days will they now take to complete the remaining work?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: Let C's time = x days. B takes x/2 days, A takes x/1.5 days. Combined rate: 1/x + 2/x + 1.5/x = 4.5/x = 1/6, so x = 27 days for C. Quantity II: 30 × 16 = 480 man-days work. After 6 days: 30 × 6 = 180 done, 300 remain. With 50 men: 300/50 = 6 more days. Quantity I (27) > Quantity II (6). Option A is correct.

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