Multiple choice

Passage

Directions: In this problem, a question is given 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.

What is the amount received by a man per week? A. Three men and two women together can do a piece of work in 8 days, and two men and three women together can do the same work in 10 days. B. The men are 250% more efficient than the women. C. Rs. 132 are given to a woman for her contribution towards work.

  1. Only A and C together are sufficient.

  2. Only A and B together are sufficient.

  3. All A, B and C together are necessary.

  4. Either A and C together or B and C together are sufficient.

  5. Only B and C together are sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

Using the formula for work and wages, combining statements A and C allows you to form two equations representing the daily work of 3 men plus 2 women and 2 men plus 3 women, which yields the individual work rates. Once the work ratio is established, the total wage of Rs. 132 given to a woman in statement C can be divided proportionally to determine the man's weekly wages. Alternatively, combining statements B and C allows you to use the efficiency ratio where men are 250 percent more efficient than women to establish the work ratio directly, which again lets you divide the Rs. 132 woman's wage proportionally to find the man's wage. Therefore, either A and C together or B and C together are sufficient.

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