Multiple choice

Directions: The question below is followed by two statements A and B. You are to determine whether the data given in the statements is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answer. How many women can complete a piece of work in 10 days? A. If the same piece of work is completed by 4 men in 6 days. B. If the same piece of work is completed by 7 women in 14 days.

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

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

  3. if both statements A and B together are needed to answer the question.

  4. if either the statement A alone or statement B alone is sufficient to answer the question.

  5. if you cannot get the answer from the statement A and B together, but need even more data.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The question asks for the number of women required to complete a work in 10 days. Statement B provides the rate of work for women (7 women in 14 days), which allows calculating the total work and thus the number of women needed for 10 days. Statement A relates men to the work but does not provide the conversion factor between men and women, so it is insufficient on its own.

AI explanation

Statement A provides the rate of work for men, stating that 4 men finish the work in 6 days, but it provides no information about the rate of women. Statement B explicitly gives the work rate of women, stating that 7 women finish the work in 14 days, yielding a total requirement of 98 woman-days. To find the number of women needed to complete the work in 10 days, we divide the total woman-days by 10 to get 9.8 women. Therefore, statement B alone is sufficient to answer the question, while statement A alone is not.

Keep practicing — related questions