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.

Eight men and six women together can compete a piece of work in 6 days. If Rs. 60 is given to a woman per day for her contribution towards work, then what is the amount received by a man per day? (A) Five men and six women together can compete the same work in 8 days. (B) Ten men and twelve women can complete the same work in 4 days. (C) The work done by a man in two days is equal to the work done by a woman in three days.

  1. Only A and C together are sufficient.

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

  3. Only A and B together are sufficient.

  4. Any two statements together are sufficient.

  5. All statements together are necessary.

Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

The given data yields the equation 8 men plus 6 women equals 36 units per day. Statement A gives 5 men plus 6 women equals 30 units, allowing you to solve for the daily work of a man and a woman. Statement B gives 10 men plus 12 women equals 36 units, which when solved with the main equation provides the daily work rates. Statement C provides a direct relationship between a man's and a woman's efficiency, allowing you to substitute and solve for their respective daily wages. Any one of the statements is sufficient to find the man's daily work and subsequently his daily wage.