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Question

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:

Seven boxes viz. J, K, L, M, N, O and P are kept one above other. How many boxes are kept below box P?

I. Box L is kept third from top. Box M and O are kept together. Box N, which is neither kept adjacent to box O nor box L. Only three boxes are kept between M and L. Box J, which is not kept adjacent to box K, is kept at any place above box P.

II. Only three boxes are kept between box O and J,which is kept second from top. Box K, which is neither kept adjacent to box J nor box O, is kept just below box L. Only three boxes are kept between box M and box L.

A If the data in Statement I alone is sufficient to answer the question, while the data in Statement II alone is not sufficient to answer the question. Correct Answer Incorrect Answer
B If the data in Statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question. Correct Answer Incorrect Answer
C If the data either in Statement I alone or in Statement II alone is sufficient to answer the question. Correct Answer Incorrect Answer
D If the data in both the Statements I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer
E If the data in both the Statements I and II together are necessary to answer the question. Correct Answer Incorrect Answer

Solution

From I: We have: Box L is kept third from top. Only three boxes are kept between M and L, that means box M is kept at bottom. Box M and O are kept together, that means box O is kept second from bottom. Box N, which is neither kept adjacent to box O nor box L, that means box N is kept at top.  Box J, which is not kept adjacent to box K, is kept at any place above box P, that means box J is kept just below box N. Based on above given information we have: Clearly, we don’t know exact position of box P. Hence, statement I is not sufficient. From II: We have: Only three boxes are kept between box O and J, which is kept second from top, that means box O is kept second from bottom.  Box K, which is neither kept adjacent to box J nor box O, is kept just below box L, that means box L is kept just below box J. Only three boxes are kept between box M and box L, that means box M is kept at bottom. Based on above given information we have: Clearly, only two boxes are kept below box P. Hence, statement I and II together sufficient.

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