Multiple choice

Directions: The following question is accompanied by two statements A and B. You have to determine which statements(s) is/are sufficient/necessary to answer the question. (X + 10) persons can complete the project p1 in how many day? (A) X person can complete 40% of the project p1 in 15 days and remaining work is completed by (X + 25) persons in 10 days. (B) The ratio of work of project p1 done by X person to that of (X + 25) persons is 4 : 9

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

  4. Both the statements taken together are necessary to answer the questions, but neither of the statements alone 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
A Correct answer
Explanation

Statement A provides enough information to calculate the work rate of X and (X+25), allowing us to solve for X and then the total time for (X+10) persons. Statement B only provides a ratio, which is insufficient without total work or time.

AI explanation

Statement A provides the equation 15X = 0.4W for the first part and 10(X + 25) = 0.6W for the second part, allowing you to solve for X. Once X is found, the time taken by (X + 10) persons is calculated as W/(X + 10), making statement A sufficient. Statement B only gives a ratio of work done, which simplifies to 15X/(10(X + 25)) = 4/9, but this only finds the ratio of X to W without providing a total value to determine the exact number of days. Therefore, statement A alone is sufficient.

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