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Directions: The following question is accompanied by two statements (I), (II). You have to determine which statements(s) is/are sufficient/necessary to answer the questions.What is the time P and Q to complete the work?Statement I: P and R take 10 hours to complete the work.Statement II: Q and R take 12 hours to complete the work.1.Statement I alone is sufficient to answer the question but statement II alone is not sufficient. 2.Statement II alone is sufficient to answer the question but statement I alone is not sufficient. 3.Both statements I and statement II together are needed to answer the question.4.Neither statement I and nor statement II is sufficient to answer the question. 5. Either of the statement I and statement II together is needed to answer the question. |
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Answer» Correct Answer - Option 4 : Neither statement I and nor statement II is sufficient to answer the question. Formula used: Total work = Efficiency × Time period Calculation: Statement I: P and R can complete the work in 10 hr From statement I alone we cannot answer the question Statement II: Q and R can complete the work in 12 hr From statement II alone we cannot answer the question Combining both the statements I and II P and R can complete the work in 10 hr Q and R can complete the work in 12 hr Taking the L.C.M of 10 and 12 ⇒ L.C.M = 60 ⇒ Efficiency of P and R = (60/10) = 6 ⇒ Efficiency of Q and R = (60/12) = 5 As few values are missing we cannot find the solution after combining both the statements It would be possible to solve if the time taken by R alone to complete the work were given ∴ Neither statement I and nor statement II is sufficient to answer the question. |
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