Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? Mohit completes a work in 20 days. After 8 days Shubham joined the work. In how many days will the work be completed? I. Shubham takes twice the time than Mohit to complete the work. II. Shubham completes half the work in 15 days.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements I and II together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I alone is sufficient: if Shubham takes twice the time, he works at half the rate. Mohit does 8/20 = 2/5 work, remaining 3/5. Combined rate = 1/20 + 1/40 = 3/40. Time for remaining work = (3/5)/(3/40) = 8 days. Total = 16 days. Statement II alone is sufficient: Shubham completes half work in 15 days, so full work in 30 days (rate = 1/30). Combined rate = 1/20 + 1/30 = 1/12. Time for remaining work = (3/5)/(1/12) = 7.2 days. Total = 15.2 days. Each statement independently provides enough information.

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