Each question below contains a statement followed by Quantity I and Quantity II. You have to find the correct relationship. Aman can do the three-fourth of the work in 18 days and Aditya can do the whole work in 28 days. Quantity I: In how many days will Aman and Aditya do the whole work? Quantity II: If Aditya starts the work and works for 6 days, after that Aman joins him, in how many days will the whole work be completed?

Aman's 3/4 work in 18 days means his rate is (3/4)/18 = 1/24 work/day, so he completes whole work in 24 days. Aditya's rate is 1/28 work/day. Quantity I: Combined rate = 1/24 + 1/28 = 13/168, so time = 168/13 ≈ 12.92 days. Quantity II: After Aditya works 6 days (6/28 = 3/14 work done), 11/14 work remains. With both working, remaining time = (11/14)/(13/168) = 132/13 ≈ 10.15 days. Total = 6 + 10.15 ≈ 16.15 days. Thus Quantity I (12.92) < Quantity II (16.15).