Multiple choice

Passage

Directions: The question given below is followed by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question.

What is the number of days in which Aman can complete the work? A. Aman is 75% more efficient than Gaurav, who alone can complete the work in 15 days. B. If the efficiency of Aman is decreased by 50%, he will complete the work in 120/7 days. C. Aman and Raghav together can complete the work in 10 days.

  1. Only A is sufficient.

  2. Only B is sufficient.

  3. Both options 1 and 2 are correct.

  4. Only C is sufficient.

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A gives Aman's efficiency relative to Gaurav, allowing calculation of Aman's time. B gives Aman's efficiency directly, allowing calculation of his time. C relates Aman and Raghav, but without Raghav's efficiency, it is insufficient. Both A and B are sufficient independently.

AI explanation

Statement A provides Gaurav's time of 15 days and states Aman is 75% more efficient, meaning Aman's efficiency ratio to Gaurav is 7 to 4. You can find Aman's time by dividing Gaurav's days by the efficiency ratio, yielding 15 times 4/7, which equals 60/7 days. Statement B directly gives Aman's altered time of 120/7 days; dividing this by 2 to account for the 50% efficiency drop yields his normal time of 60/7 days. Both statement A and statement B independently provide the exact number of days required.

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