Multiple choice

Directions: In this problem, a question is given followed by three statements, numbered I, II and III. Read the statements carefully and decide which of them is/are sufficient to answer the question. In how many days can 5 men complete a task? I. Two men, three women and five children together can complete the task in 10 days. II. Three men can complete one-fourth of the task in 10 days. III. Nine women can complete the task in 18 days.

  1. Only II and III

  2. Only I and III

  3. Only I and II

  4. Only II

  5. All of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement II says 3 men complete 1/4 of the task in 10 days, so 3 men complete the task in 40 days. Thus, 1 man completes the task in 120 days, and 5 men complete it in 120/5 = 24 days. Only statement II is sufficient.

AI explanation

Analyze each statement individually to see if it provides enough data to find the work rate of one man. Statement II states that 3 men complete one-fourth of the task in 10 days, meaning 3 men would take 40 days to complete the full task, so 1 man takes 120 days and 5 men take 24 days. Statements I and III introduce women and children but provide no ratio to link their efficiencies to men, making them insufficient on their own or combined without more information. Therefore, only statement II is sufficient to answer the question.

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