The efficiency of men, women and children are in ratio 3:2:1. If 20 men,30 women and 40 children together can complete the work in 3 days. Then find out how many men can complete the same work in 10 days? (1)10 men (2) 12 men (3) 13 (4) 14 men (5) 16 men

• more the efficiency of a person less the time he takes
  in given data=> m:w:c=3:2:1=>1/3:1/2:1/1=>multiply the numerator with 6 then we will get ratio as this=2:3:6 which is men will take 2x days to complete the work,women takes 3x days & children takes 6x days to complete the work
  
  20(1/2x)+10(1/3x)+20(1/6x)=1/3=> from this equation we get x as 80
  
  m=2x=2*80=160days to complete the work.
  men one day work can be written as 1/160
  so men ten days work is 10/160= 1/16
  16*men = 16*1/16=1
  hence we required 16 men to complete the job
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