Exams › SSC CGL (Prelims) › General
Instructions: Evaluate the following statements to determine whether the information provided is sufficient to answer the question. If P, Q, and R work together, how many days will they take to complete a project? Statement I: Q and R together can complete the project in 10 days. Statement II: P and R together can complete the project in 15 days.
- Statement I alone provides enough information to answer the question, but Statement II alone does not.
- Statement II alone provides enough information to answer the question, but Statement I alone does not.
- Both Statement I and Statement II combined are needed to answer the question, as neither statement on its own is sufficient.
- Even when combined, the information in both Statement I and Statement II is not enough to answer the question.
Correct answer: Even when combined, the information in both Statement I and Statement II is not enough to answer the question.
Solution
Statement I gives the combined rate of Q and R, and Statement II gives the combined rate of P and R. But the rate of R alone is still unknown, so the total rate of P, Q, and R cannot be uniquely found. Therefore, even together the statements are insufficient.
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