Directions : Read the following information carefully and answer the following…
2020
Directions : Read the following information carefully and answer the following questions.
Eleven Houses A, B, C, D, E, F, P, Q, R, S, and T are located in a straight row such that the opening gates of some of them opens in north direction and some of them opens in south direction but not necessarily in the same order. No two adjacent houses opening gates opens in the same direction. House B is not located near House A. House Q is located to the immediate left of House B. House P is located fourth to the right of House D, which is located to the immediate left of House R. Number of Houses located to the left of House P is one more than the number of Houses located between House R and House P. Only two houses are located to the left of House A. The number of houses located between House P and House A is one less than the number of Houses located between House T and House C. House T is located near House P. Only one house is located between House F and House Q and the Gates of both of the houses doesn’t open in south direction. Only one house is located between House E and House S, which is not located near House C. House D is 2nd from one of the ends.
Which of the following pair of Houses represents the immediate neighbors of P’s House?
- A.
House D and House F
- B.
House T and House F
- C.
House S and House T
- D.
House D and House A
- E.
None of these
Show answer & explanation
Correct answer: E
Concept
In a single-row linear-arrangement puzzle, you fix the most rigid clues first (exact positions and end references), then place the floating blocks (immediate-neighbour and 'one house between' relations) around them. A position is fully determined only when every clue is simultaneously satisfied; the immediate neighbours of any item are simply the houses sitting one place to its left and one place to its right in the final, fully-pinned row.
Application
Reasoning through the eleven positions (left to right):
Only two houses lie to the left of A, so A takes the 3rd position.
D is 2nd from an end and D is immediately left of R; this forces D and R to the far pair (D in the 10th place, R in the 11th place).
P sits four places from D, which lands P in the 6th position; the count clue 'houses left of P (5) = houses between R and P (4) + 1' confirms P at the 6th place.
T is a neighbour of P, and the comparison 'houses between P and A (2) = houses between T and C (3) - 1' fixes T at the 5th position and C at the 1st position.
Q is immediately left of B, F has exactly one house between it and Q, and E has exactly one house between it and S with S not beside C: these place Q at 7th, B at 8th, F at 9th, S at 4th and E at 2nd.
Final row (left to right):
Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
|---|---|---|---|---|---|---|---|---|---|---|---|
House | C | E | A | S | T | P | Q | B | F | D | R |
Result
P occupies the 6th place. The house one step to its left is T and the house one step to its right is Q, so P's immediate neighbours are the pair T and Q.
Cross-check
None of the offered pairs is 'T and Q': the choices name D & F, T & F, S & T and D & A, while the actual neighbouring pair is T and Q. Hence the correct response is 'None of these'. Re-testing each clue against the row above (A third, D tenth, R eleventh, P sixth, T fifth, Q seventh, B eighth, F ninth, S fourth, E second, C first) satisfies every condition, so the arrangement is unique.