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9 children can complete a task in 360 days. 18 men can complete the same task in 72 days and 12 women can complete a task in 162 days. In how many days 4 men, 12 women , 10 children can complete the task? 
1. 124
2. 81
3. 68
4. 96
5. None of these

1 Answer

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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

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