Direction: Each of the following questions is followed by information in three statements. You are to find out which statement(s) is /are sufficient to answer the question and mark your answer accordingly.
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In how many days will Y alone complete the work ?
I. X and Y together can complete the wok in 8 days.
II. Y and Z together can complete the work in 10 days.
III. X and Z together can complete the work in 12 days.
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- Only I and II
- Only II and III
- I, II and III
- Data is insufficient
- None of the above
Correct Option: C
(X + Y)'s 1 day's work = 1/8 ..(i)
(Y + Z)'s 1 day's work = 1/10 ...(ii)
(Z + X)'s 1 day's work = 1/12 ..(iii)
Adding equations i , ii , iii
2(X + Y + Z)'s 1 day's work = 1/8 + 1/10 + 1/12
(X + Y + Z)'s 1 day's work
= 1/2[1/8 + 1/10 + 1/12] ..(iv)
Subtracting Eq. (iii) from Eq. (iv), we get Y's 1 day's work,
Then, required number of days
= 1/Y's 1 day's work
