Question
The question given below consists of three statements
numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and answer the question. Seven boxes L, M, N, O, P, Q, and R are kept one above another in a stack. How many boxes are between N and R? Statement I: Only four boxes are between L and Q. R is two boxes above Q. Only three boxes are between O and R. P is above N, which is above M. Statement II: Only one box is below M. Only three boxes are between M and L. O is three boxes above N. R is two boxes above Q. P is neither the topmost box nor the bottommost box. Statement III: P is above Q. Only five boxes are between Q and O. Only two boxes are between M and P. M is two boxes below N. L is above R.Solution
From statement I alone, only four boxes are between L and Q. R is two boxes above Q. Only three boxes are between O and R. P is above N, which is above M. We get:
So, from statement I alone, we get no box is between N and R. Thus, data given in statement I alone is sufficient to answer the question. From statement II alone, only one box is below M. Only three boxes are between M and L. O is three boxes above N. R is two boxes above Q. P is neither the topmost box nor the bottommost box. We get:
So, from statement II alone, we get that either no box or five boxes are between N and R. Thus, data given in statement II alone is not sufficient to answer the question. From statement III alone, P is above Q. Only five boxes are between Q and O. Only two boxes are between M and P. M is two boxes below N. L is above R. We get:
So, from statement III alone, we get that either no box or two boxes are between N and R. Thus, data given in statement III alone is not sufficient to answer the question. Therefore, data given in statement I alone is sufficient to answer the question.
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