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Subhajit007
hillary works for 4 days and leaves the job. In how many days can hillary alone finish the entire work?

Statement I : Mr.Trump finishes the remaining work in 8 days.

Statement II : The working efficiency of Mr.Trump is double that of hillary.

First Statement: Mr. Trump finishes the remaining work in 8 days.

We don't know how much work Hilary has completed in 4 days, So we can't know how much work Mr. Trump finished in 8 days

Not suff.

Second Statement: The working efficiency of Mr.Trump is double that of hillary

Since, we don't know the amount of work completed by Trump, efficiency of Mr. Trump is not sufficient.

Not suff.

Combining (1) + (2)

We know efficiency of Trump is double of hilary , if Trump finishes some work in 8 days , hilary will take 16 days.

So, option C is correct.
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Subhajit007
hillary works for 4 days and leaves the job. In how many days can hillary alone finish the entire work?

Statement I : Mr.Trump finishes the remaining work in 8 days.

Statement II : The working efficiency of Mr.Trump is double that of hillary.

(1) No information bout hillary's rate; Insufficeint.

(2) No rate of Trump's is given. Insufficient.

Considering both:

No Calculation is required. Trump does the by half of the rate of Hillary. Trump does in 8 days then hillary would take 16 days. Sufficinet.

The answer is C.
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