Multiple choice

Directions: The problem contains a question and two statements giving certain data. You have to select the correct answer from the given options depending on the sufficiency of the data given in the statements to answer the question. How many workers are required to complete a project in 10 days? (A) 20 workers can complete the project in 15 days. (B) 60 workers can complete the project in 5 days.

  1. Statement (A) alone is sufficient, but statement (B) alone is not sufficient.

  2. Statement (B) alone is sufficient, but statement (A) alone is not sufficient.

  3. Both (A) and (B) together are sufficient, but none of them alone is sufficient.

  4. Both the statements are sufficient independently.

  5. Both (A) and (B) together are not sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement A: 20 workers * 15 days = 300 man-days. To find workers for 10 days, 300/10 = 30 workers. Statement B: 60 workers * 5 days = 300 man-days. To find workers for 10 days, 300/10 = 30 workers. Both statements independently provide the total work required.

AI explanation

Using the formula derived from the inverse proportionality of workers and days, the total work equals 20 workers times 15 days, which is 300 worker-days. Statement A alone is sufficient because finding the workers needed for 10 days means dividing 300 by 10 to get 30 workers. Statement B alone is also independently sufficient because the total work equals 60 workers times 5 days, which is the same 300 worker-days, and dividing by 10 days again yields 30 workers. Therefore, both statements are sufficient independently.

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