Multiple choice

The question given below contains two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? Mark answer Find in how many days the work will be completed if Ragini and Supriya work on it with alternate days- I-Ragini completes 1/3rd work with 80% efficiency in 24 days. II-Supriya is 40% more efficient than Ragini.

  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 statement together are sufficient, but neither statement alone is sufficient
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I gives Ragini's work rate: she completes 1/3 of work at 80% efficiency in 24 days, so at 100% efficiency she would take (24 × 0.8)/3 = 6.4 days for full work. Statement II gives Supriya is 40% more efficient than Ragini. However, we don't know who starts the work first or the order of working. Without knowing the sequence (whether Ragini or Supriya works on day 1), we cannot determine the completion time. Even together, the statements are insufficient.

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