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Option 4 : 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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