Multiple choice

Two quantities that is I and II are given in following questions. Students is expected to solve the quantities and answer them according to given options by comparing their numerical values. 12 men can complete a work in 10 days. 18 women can do the same work in 20 days. 27 children can do that work in 20 days. 9 women and 9 children together do that work for 16 days. Quantity I: No. of men required to complete the remaining work in one day Quantity II: 36

  1. Quantity I > Quantity II

  2. Quantity I ≤ Quantity II

  3. Quantity I = Quantity II or No relation

  4. Quantity I < Quantity II

  5. Quantity I ≥ Quantity II
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Work rates: 12 men in 10 days, so 1 man's rate = 1/(120) work/day. 18 women in 20 days, so 1 woman's rate = 1/(360) work/day. 27 children in 20 days, so 1 child's rate = 1/(540) work/day. 9 women + 9 children work for 16 days: work done = 16 × (9/360 + 9/540) = 16 × (1/40 + 1/60) = 16 × (5/120) = 2/3. Remaining work = 1/3. Men needed = (1/3) / (1/120) = 40. Quantity I = 40, Quantity II = 36. Since 40 > 36, option A is correct.

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