Multiple choice

Passage

Directions to Solve In each of the questions below consists of a question and statements given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.

In how many days B and C together can complete the work? I. Per day efficiency of A, B and C is in the ratio 3 : 2 : 4 II. A and B together can complete the work in 7.2 days III. Time taken by A, B and C alone to complete the work is in the ratio of 4 : 6 : 3.

  1. I and II

  2. II and III

  3. Either I and II or II and III

  4. None is enough

  5. I and III
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

I gives efficiency ratio A:B:C = 3:2:4. II gives A+B work in 7.2 days, so (3+2) * 7.2 = 36 units total work. With I and II, we can find B and C's time. III gives time ratio A:B:C = 4:6:3, which is equivalent to efficiency ratio 3:2:4. Thus, II and III also provide the same information. Both combinations are sufficient.

AI explanation

From statement I, let the efficiencies of A, B, and C be 3, 2, and 4 units, and statement II gives A and B's combined time as 7.2 days, yielding a total work of (3 + 2) * 7.2 = 36 units; hence B and C take 36 / (2 + 4) = 6 days. Alternatively, statement III provides the individual time ratio, making the efficiencies of A, B, and C the reciprocal ratio 1/4 : 1/6 : 1/3; multiplying by 12 gives 3 : 2 : 4, which mirrors statement I, so using statement II and III also yields the exact times. Therefore, either I and II or II and III are sufficient. Either I and II or II and III.

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