Multiple choice

Directions: The following question consists of three statements I, II and III. You have to determine which of the following statements is/are necessary to answer the question. 15 men and 6 women can complete a job in 4 days. How many days will it take for 10 men and 4 children to complete the same job? I. 5 men can complete the work in 15 days. II. 1 child takes double the time taken by a woman to complete the same job. III. 3 women can complete this job in 40 days

  1. II and either I or III

  2. Only II or III

  3. Only III

  4. Any two of the three

  5. Only II
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

To solve for 10 men and 4 children, we need the work rates of men, women, and children. Statement I gives the rate of men. Statement III gives the rate of women. Statement II relates children to women. We need to know the relationship between men and women to combine these, or have enough info to solve the system. II and either I or III are sufficient to establish the ratios.

AI explanation

To find the time for 10 men and 4 children, we need the total work in man-days and the efficiency relationship between children, women and men. Statement II provides the link between a child and a woman by stating a child takes double the time of a woman. Either Statement I or Statement III is required to establish the total work and the relationship between men and women, making II and either I or III necessary to answer the question.

Keep practicing — related questions