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 QuantityI- Raj can do 2/3rd of the work in 12 days while Ram can do 3/5th of the same work in 15 days. In what time they will complete the work together. Quantity II- Radha is four times as effective as Seema If Seema completes a work in 120 days, in what time the work will be completed together by them

  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
B Correct answer
Explanation

Quantity I: Raj does 2/3 work in 12 days, so rate = (2/3)/12 = 1/18 per day. Ram does 3/5 work in 15 days, so rate = (3/5)/15 = 1/25 per day. Combined rate = 1/18 + 1/25 = 43/450, so time = 450/43 ≈ 10.47 days. Quantity II: Seema takes 120 days, so rate = 1/120. Radha is 4× efficient, so rate = 4/120 = 1/30. Combined rate = 1/120 + 1/30 = 5/120 = 1/24, so time = 24 days. Clearly 10.47 < 24, so Quantity I < Quantity II.

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