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The following question have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Three persons A, B and C work in a job. In how many days B alone can finish the job? Statement I: C alone can complete the whole job in 15 days. Statement II: A and B together can finish the job in 10 days. Statement III: The time taken by A is equal to the time taken by B and C together.

The following question have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Three persons A, B and C work in a job. In how many days B alone can finish the job? Statement I: C alone can complete the whole job in 15 days. Statement II: A and B together can finish the job in 10 days. Statement III: The time taken by A is equal to the time taken by B and C together. Correct Answer All the statements are required to answer the question.

Statement I and II:

Suppose the total amount of work = 30 units (LCM of 15 & 10)

∴ Efficiency of C = 30/15 = 2

Efficiency of (A + B) = 30/10 = 3

Statement III:

∵ The time taken by A is equal to the time taken by B and C together;

∴ Efficiency of A = Efficiency of (B + C)

Combining all three statements∶

Efficiency of A = 2.5 and Efficiency of B = 0.5

∴ Time taken by B to complete the job = 30/0.5 = 60 days

∴ All the statements are required to answer the question.

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