Multiple choice

Passage

Directions: In this problem, a question is followed by three statements, labelled as (A), (B) and (C). Read the statements carefully and determine which of them is/are sufficient/necessary to answer the question.

In how many days can a piece of work be completed by Reema, Seema and Peema together? (A) 60% of the work is completed by Reema alone in 6 days. (B) The ratio of work efficiencies of Reema, Seema and Peema is 3 : 2 : 1. (C) Peema works for 5 days and then leaves the job, and the remaining work is done by Reema and Seema together.

  1. Only A and B together are sufficient.

  2. Any one of A, B and C is sufficient.

  3. Only A and C together are sufficient.

  4. Any two of A, B and C are sufficient.

  5. All of them together are necessary.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement A tells us Reema's efficiency (60% in 6 days means 100% in 10 days). Statement B provides the ratio of efficiencies for Reema, Seema, and Peema (3:2:1). With both, we can calculate the total work rate and the time taken by all three together.

AI explanation

From statement A, Reema's 1 day work is 60/100 divided by 6, which equals 1/10. Using statement B, the ratio of efficiencies of Reema, Seema and Peema is 3 : 2 : 1, meaning their daily work capacities can be represented as 3x, 2x and x. Equating Reema's capacity gives 3x = 1/10, so x = 1/30, making their combined daily work (3x + 2x + x) equal to 6/30 or 1/5. Therefore, A and B together are sufficient to find that they complete the work in 5 days, while statement C lacks specific time values.

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