Multiple choice

Directions: The question given below is followed by two statements A and B. You have to determine which statements(s) is/are sufficient/necessary to answer the question. If 10 boys and 5 girls can complete a job in 10 days, then in how many days will 5 boys complete the same job? A. A girl is 40% less efficient than a boy. B. 20 boys and 75 girls can complete the same job in 2 days.

  1. Statement A alone is sufficient to answer the question, but statement B alone is not sufficient to answer the question.

  2. Statement B alone is sufficient to answer the question, but statement A alone is not sufficient to answer the question.

  3. Both the statements taken together are necessary to answer the question, but neither of the statements alone is sufficient to answer the question.

  4. Either statement A or statement B by itself is sufficient to answer the question.

  5. Statements A and B taken together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

10 boys and 5 girls in 10 days means 100 boy-days + 50 girl-days = total work. Statement A gives the efficiency ratio, allowing us to convert girls to boys. Statement B gives a different combination of workers, which also allows us to solve for the efficiency ratio. Both are sufficient independently.

AI explanation

The total work is given as 10 boys plus 5 girls working for 10 days. Statement A provides the efficiency ratio by stating a girl is 40% less efficient than a boy, meaning one girl equals 0.6 boys; substituting this into the original equation allows you to find the total work in boy-days, which you then divide by 5 to get the answer. Statement B gives a completely separate equation of 20 boys plus 75 girls equaling 2 days of work; since the total work is constant, this equation can also be solved alongside the original equation to find the total work and determine how long 5 boys would take. Therefore, each statement independently provides enough information to solve the problem.

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