Multiple choice

Directions: The following question is accompanied by statements A, B and C. You have to determine which of the statements is/are sufficient/necessary to answer the question. How much time will Amit and Beth take together to complete a piece of work? A. Amit is 50% more efficient than Beth. B. Charlie will complete that work in 10 days. C. Beth completes that piece of work in 24 days.

  1. All together are necessary.

  2. Only A is sufficient.

  3. A and C together are sufficient.

  4. C and B together are sufficient.

  5. Either A or B is sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A gives the ratio of efficiencies (Amit = 1.5 * Beth). C gives Beth's time. With both, we can find Amit's time and their combined rate. B is irrelevant.

AI explanation

Statement A provides the efficiency ratio of Amit and Beth but lacks total time data, while statement B only gives Charlie's time without linking him to Amit or Beth. Statement C directly provides Beth's time as 24 days, which combined with the 50 percent efficiency ratio from statement A, yields Amit's time of 16 days. This allows calculating their combined time using the formula 1/16 + 1/24, making A and C together sufficient to answer the question.

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