Multiple choice

Direction: The following question has two statements, (1) and (2). Answer the question using the following options: A, B and C together complete a job. How much amount do they get? (1) A can do the job in 4 days while C can do it in 6 days-each working alone on the job. (2) B does the job in 5 days working alone but gets. $60 as his share when A, B and C do the job together.

  1. if statement (1) alone is sufficient but statement (2) alone is not

  2. if statement (2) alone is sufficient but statement (1) alone is not

  3. if both (1) and (2) together are sufficient but none of them alone is sufficient

  4. if both independently are sufficient

  5. if both statements (1) and (2) together are not sufficient
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement 1 gives individual rates for A and C. Statement 2 gives B's rate and his share of the total pay. To find the total amount, we need the total work rate (A+B+C) and the total pay, which requires combining both statements.

AI explanation

To distribute the wages, you must find the ratio of their daily work capacities, which requires the individual times of all three workers. Statement 1 provides the times for A and C, while statement 2 provides the time for B along with the monetary value of his specific share. Using the formula for combined work, you need both statements together to calculate the exact work ratio of A, B and C, allowing you to assign the correct total amount to each person based on B's share of Rs. 60.

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