In how many days can 10 women finish the work — which statements suffice? I. 10 men can complete the work in 6 days. II. 10 men and 10 women together complete the work in 3 3/7 days. III. 10 men work for 3 days, and then 10 women finish the remaining work in 4 days.

Introduction / Context:
We must identify which statements suffice to find the time taken by 10 women to finish one unit of work. Treat rates linearly (work/day).

Given Data / Assumptions:

• Let M be the per-man rate; W the per-woman rate.
• I: 10M completes 1 work in 6 days ⇒ 10M = 1/6.
• II: (10M + 10W) completes in 3 3/7 days = 24/7 days ⇒ 10M + 10W = 7/24.
• III: 10M * 3 + 10W * 4 = 1.

Concept / Approach:
We need 10W (the collective women’s rate) to get time = 1 / (10W). Any two independent equations among I–III determine M and W (or directly 10W).

Step-by-Step Solution:

Verification / Alternative check:
Each pair independently leads to 8 days for 10 women.

Why Other Options Are Wrong:

• Listing only specific pairs is too restrictive since multiple pairs suffice.
• All three together is unnecessary.

Common Pitfalls:
Adding “days” instead of rates; forgetting to convert 3 3/7 to 24/7 properly.

Final Answer:
Any two of the three