Multiple choice

Directions: The problem contains a question followed by three statements A, B and C. Read the statements carefully and determine which of the given statements is/are sufficient to answer the question. What is the time taken by Rohit to complete the work, if Rohan can complete the same work in 40 days? A. Rohit is 50% more efficient than Rohan. B. Pankaj and Rohit working together can complete the same work in 10 days. C. Rohit is 50% less efficient than Pankaj.

  1. Only A is sufficient.

  2. Only B and C together are sufficient.

  3. Only C is sufficient.

  4. Either A alone or B and C together are sufficient.

  5. None of A, B and C is sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement A provides the efficiency ratio between Rohit and Rohan, allowing us to find Rohit's time. Statements B and C together allow us to find Pankaj's efficiency relative to Rohan and then Rohit's time. Thus, either A alone or B and C together are sufficient.

AI explanation

Rohan's base rate is 40 days, and Statement A provides a direct efficiency multiplier for Rohit. Since Rohit is 50 percent more efficient, his time is calculated as 40 divided by 1.5, making this single statement sufficient. For the alternate path, Statement B gives the combined rate of Pankaj and Rohit, while Statement C establishes an efficiency ratio between them. Using the ratio from Statement C, we can determine Rohit's share of the work and solve for his exact completion time, making statements B and C together sufficient. Therefore, either Statement A alone or Statements B and C together are sufficient.

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