Multiple choice

Directions: Compare Quantity I and Quantity II, using additional information centred above the two quantities if such information is given, and choose the correct option. A can do a certain work alone in 10 days and B can do the same work alone in 'X' days. If both A and B work together, it takes them 20% lesser time than what A takes to complete the work alone. If both B and C work together, the work would be finished in 24 days. C can complete the work alone in 'Y' days. Quantity I: Value of 'X' Quantity II: Value of 'Y'

  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 no relation
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A = 10 days. Together (A+B) takes 20% less time than A, so 0.8 * 10 = 8 days. Rate (A+B) = 1/8. Rate B = 1/8 - 1/10 = 1/40. So X = 40. B+C = 1/24. Rate C = 1/24 - 1/40 = (5-3)/120 = 2/120 = 1/60. So Y = 60. X < Y.

AI explanation

Since A and B together take 20% less time than A's 10 days, they take 8 days to complete the work. Their combined one-day work is 1/8, so 1/10 + 1/X = 1/8, which solves to X = 40. For B and C, their combined time is 24 days, so 1/40 + 1/Y = 1/24; this solves to Y = 60. Therefore, Quantity I (40) is less than Quantity II (60).

Keep practicing — related questions