Multiple choice

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. In how many days can John, Ben and Mary complete the work? A. John alone can complete the work in 12 days. B. John and Mary together can complete the work in 4 days. C. Mary and Ben together can complete the work in 5 days.

  1. Both statements A and C

  2. Only statement B

  3. Either statement A or C

  4. Both statements A and B

  5. Any one of them
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A: John = 1/12. B: John + Mary = 1/4. C: Mary + Ben = 1/5. From A and B, Mary = 1/4 - 1/12 = 2/12 = 1/6. From C, Ben = 1/5 - 1/6 = 1/30. Total rate = 1/12 + 1/6 + 1/30 = (5+10+2)/60 = 17/60. Time = 60/17 days. A and C are sufficient.

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