Correct Answer - Option 2 : 81

**Calculation:**

**Given that, **

9 children can do in 360 days

⇒ 1 child = 9 × 360 ⇒ 3240

18 men can do in 72 days

⇒ 1 man = 18 × 72 ⇒ 1296

12 women in 162 days

⇒ 1 woman = 12 × 162 ⇒ 1944

∴ 5 children = 2men = 3 women

∵ 1 child = 1296 ÷ 3240 men

⇒ 2men = 5 children

10 children = 4 men ,

12 women = 8 men

Now,

10 children + 12 women + 4 men

4men + 8 men + 4 men = 16 men

16 men complete in =\(\frac{18 \times 72}{16}\)

⇒ 81 days

**∴ Number of days worked is 81days**