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 persons L, M, N, O, P, Q, and R live on different floors of a seven-floor building however not necessarily in the same order. The bottommost floor is numbered as 1, the floor immediately above it is numbered as 2 and so on. Who lives immediately above M? Statement I: Only three persons live between Q and P. L lives below P, who lives below Q. R lives three floors above
L. O and L live on adjacent floors. Statement II: Only L lives below O. M lives three floors above O. R and P lives below
M. Statement III: Q lives immediately above N. P lives immediately below R. L lives on 1 st floor. M lives on a prime numbered floor.

Solution

From statement I alone, only three persons live between Q and P. L lives below P, who lives below Q. R lives three floors above L. O and L live on adjacent floors, we get: Case 1: When L lives on 2nd floor. Case 2: When L lives on 1st floor. We have multiple possibilities for the person, who lives immediately above M. Thus, data given in statement I alone is not sufficient. From statement II alone, Only L lives below O. M lives three floors above O. R and P lives below M, we get: Either Q or N lives immediately above M. Thus, data given in statement II alone is not sufficient. From statement III alone, Q lives immediately above N. P lives immediately below R. L lives on 1st floor. M lives on a prime numbered floor, we get: We have multiple possibilities for the person, who lives immediately above M. Thus, data given in statement III alone is not sufficient. From statement II and III together: N lives immediately above M. So, data in both statement II and statement III together are necessary to answer the question.