Multiple choice

The questions given below contains two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? Mark answer- Find in how many days the work will be completed if A and B work on it with alternate days. Statement I :- A completes 1/3rd work with 80% efficiency in 20 days. Statement II :- B is 20% more efficient than A.

  1. If statement I alone is sufficient but statement II alone is not sufficient

  2. If statement II alone is sufficient but statement I alone is not sufficient

  3. If each statement alone (either I or II) is sufficient

  4. If statement I and II together are sufficient, but neither statement alone is sufficient

  5. If statement I and II together are not sufficient
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statement I: A completes 1/3 work at 80% efficiency in 20 days. At 100% efficiency, A would complete (1/3) × (100/80) = 5/12 work in 20 days. So A's rate = (5/12)/20 = 5/240 = 1/48 work per day. Statement II: B is 20% more efficient than A, so B's rate = 1.2 × (1/48) = 1.2/48 = 1/40 work per day. However, we don't know who starts first or the order of work. The question asks about A and B working on alternate days, but doesn't specify the starting day. Without this information, we cannot determine the exact time. Even with both statements, key information is missing.

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