Correct Answer - Option 2 : 5 days

**Given:**

10 men can finish a work = 10 days

12 women can finish a work = 10 days

**Calculation:**

10 men can finish a work = (10 × 10) = 100 days

10 women can finish a work = (12 × 10) = 120 days

1 day work of men = 1/100 days

15 men do a work = 15/100 days

⇒ 3/20 days

1 day work of women = 1/120 days

6 women do a work = 6/120 days

⇒ 1/20 days

So, 15 men and 6 women can do a work together = (3/20 + 1/20)

⇒ 4/20

⇒ 1/5

**∴ They will complete the task in 5 days**