Direction : Study the following information carefully and answer the questions…
2019
Direction : Study the following information carefully and answer the questions given below:
P@Q means P is East of Q and the distance between P and Q is either 4m or 15m
P#Q means P is West of Q and the distance between P and Q is either 7m or 18m
P&Q means P is North of Q and the distance between P and Q is either 4m or 15m
P%Q means P is South of Q and the distance between P and Q is either 7m or 18m
J&K#L%M, B&N#M, BN<MN<KL, JK>ML
If X is 11m West of B then, what is the distance between X and J?
- A.
7m
- B.
4m
- C.
6m
- D.
10m
- E.
11m
Attempted by 1 students.
Show answer & explanation
Correct answer: B
Concept
Direction-coding problems are solved on a coordinate grid: East/West shift the x-coordinate, North/South shift the y-coordinate, while the perpendicular coordinate stays unchanged. When a distance is given as one of two values, the inequalities supplied between segments pin down which value each segment must take. Once every point has fixed coordinates, the straight-line distance between any two points follows from their coordinate differences.
Application
Each symbol fixes one move; the inequalities then fix the ambiguous distances:
Segment lengths from the symbols: BN (B&N) is 4 or 15; MN (N#M) is 7 or 18; KL (K#L) is 7 or 18; ML (L%M) is 7 or 18; JK (J&K) is 4 or 15.
Apply BN < MN < KL. Two values 7 and 18 with MN < KL force MN = 7 and KL = 18. Then BN < 7 forces BN = 4.
Apply JK > ML. JK is 4 or 15 and ML is 7 or 18; only JK = 15 with ML = 7 satisfies it.
Place M at the origin (0, 0). Then L = (0, -7), K = (-18, -7), J = (-18, 8), N = (-7, 0), B = (-7, 4).
X is 11 m West of B, so X = (-7 - 11, 4) = (-18, 4).
Point | Coordinates |
|---|---|
M | (0, 0) |
L | (0, -7) |
K | (-18, -7) |
J | (-18, 8) |
N | (-7, 0) |
B | (-7, 4) |
X | (-18, 4) |
Cross-check
J = (-18, 8) and X = (-18, 4) share the same x-coordinate, so they lie on one vertical line. The distance is the y-difference: 8 - 4 = 4 m. Re-reading the chain forward (M down 7 to L, west 18 to K, up 15 to J) reaches the same J, confirming the layout.
Distance between X and J = 4 m.