Answer the questions based on the information given below. P, Q, R are three adjacent buildings. P is to the west of Q. Q is to the west of R. Each building has different number of floors with the lowest floor numbered as 1, floor above it numbered 2 and so on. The height of floors in each building is the same i.e. the same numbered floors are at equal height from the ground. Only few of the floors of these buildings are taken and rest are vacant. None of the buildings had more than 10 floors. · D's floor number was twice as that of J's floor number. · J lived in building Q. Q had prime numbered floors and J lived on the floor that was 3 rd from the top · Not more than 3 flats were taken in building P · F was exactly to the east of B · B lived exactly above C but not in the same building · C and F did not live in the same building · A's floor number was thrice as that of C's floor number. · A was exactly to the west of H · H was not in building R · C and G did not live in the same building · G lived immediately below E · B and E lived on consecutive floors of the same building · I was exactly to the east of C · I and E did not live in the same building · B and G did not have the same floor number · The number of floors in I's building was 3 less than that in building Q 1. Only one person lives on each floor 2. Exactly to the east or west does not mean immediate east or west, but on the same floor. 3. Immediately above or below implies that the person is not in the same building. What was the floor number of F?

Explanation

· F was exactly to the east of B · B lived exactly above C but not in the same building. · C and F did not live in the same building B F C Or B F C Or B F C · I was exactly to the east of C. Thus, 3rd arrangement becomes invalid. · B and E lived on consecutive floors of the same building · I and E did not live in the same building. · G lived immediately below E · B and G did not have the same floor number Case 1: E G B F C I Case 1a: B F C E I G/ /G Case 2: E B G F C I Case 2a: B F E C I G/ G/ · D's floor number was twice as that of J's floor number. · J lived in building Q. Q had prime numbered floors and J lived on the floor that was 3rd from the top · The number of floors in I's building was 3 less than that in building Q Building Q Building R (I’s building) J’s floor D’s floor 3 Invalid 1 2 5 2 3 6 7 4 5 10 The 2nd case of above chart is invalid as in every possible case made above building R has at least 3 floors. As there cannot be more than 10 floors, D's floor will be the topmost floor, thus, building P had 10 floors. Building Q Building R (I’s building) J’s floor D’s floor 7 4 5 10 · A was exactly to the west of H · H was not in building R. Thus, A was in building P and H was in building Q. · A's floor number was thrice as that of C's floor number. A's floor number can be 3 or 6. 9 is not possible as H will not be placed in that case · I was exactly to the east of C. C was on floor 1 or 2 as seen from above. · B and E lived on consecutive floors of the same building · I and E did not live in the same building. · G lived immediately below E · B and G did not have the same floor number · C and G did not live in the same building Case 1a: B F C E I G Case 2a: B F E C I G Combining the 2 diagrams: · Not more than 3 flats were taken in building P. Thus, 2nd arrangement becomes invalid. The final arrangement will be as follows F lived on floor 3