Multiple choice

Passage

Directions: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You are to use the given data and your knowledge of Mathematics to choose among the given options.

Quantity I: 30 workers working 5 hours a day can dig 4/5th of a tunnel in 16 days. Number of days taken by 24 workers working 5 hours a day to dig the remaining tunnel Quantity II: Jack alone can finish printing a book in 12 days and takes 4 days more than Rocky to complete the same task. Both of them printed the book together for 4 days and after that, Jack completed the remaining work along with his friend Joshua in one day. Time taken by Joshua alone to complete 1/2 of the work

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity I = Quantity II or no relation can be established.

  5. Quantity I ≤ Quantity II
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity I: 30 workers * 16 days = 480 worker-days for 4/5 of the tunnel. Total work = 600 worker-days. Remaining 1/5 = 120 worker-days. 24 workers * 5 hours = 120 worker-days, so 5 days. Quantity II: Jack = 12 days, Rocky = 8 days. Together = 1/12 + 1/8 = 5/24 per day. In 4 days, they do 20/24 = 5/6. Remaining 1/6 done by Jack and Joshua in 1 day. Joshua's rate = 1/6 - 1/12 = 1/12. Joshua takes 12 days for full work, 6 days for 1/2. Since 5 < 6, Quantity I < Quantity II.

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