Find the time taken by 3 males and 5 females to plough the field while working together Statement I ...........

Quantitative Aptitude ( CCS) Data Sufficiency

Find the time taken by 3 males and 5 females to plough the field while working together.

Statement I: 1 male can plough half of the field in 12 days, 2 females can plough two fields of the same area and same type in 20 days.

Statement II: 2 males can plough a field in 12 days and 2 females can plough same field in 10 days.

Both are not sufficient

Only Statement I

Both are necessary

Only Statement II

Either I or II

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Explanation:

From I: Let the efficiency of each male and each female be ‘m’ and ‘f’ resp.
Time taken by 3 male to plough the field = 12*(2/3) = 8 days
Time taken by 5 female to plough the field = (20*2)/(5*2) = 4 days
So, the time taken by 3 males and 5 female = (8*4)/(8+4) = 8/3 days
This statement is alone sufficient.
From II: Let the efficiency of each male and each female be ‘m’ and ‘f’ resp.
Time taken by 3 male to plough the field = 12*2/3 = 8 days
Time taken by 5 female to plough the field = (10*2)/5 = 4 days
So, the time taken by 3 males and 5 female = (8*4)/(8+4) = 8/3 days
This statement is alone sufficient.
Either I or II

Hence, option 5 is the correct answer.