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
Four of the following five are alike in certain way and hence form a group, find the one which does not belong to that group?
Answer: D. KN — ConceptIn a coded-direction grouping problem, each symbol fixes a fixed compass direction and a distance band. After plotting every person on an x–y grid…
- A.
BM
- B.
BL
- C.
NL
- D.
KN
- E.
JM
Attempted by 10 students.
Show answer & explanation
Correct answer: D
Concept
In a coded-direction grouping problem, each symbol fixes a fixed compass direction and a distance band. After plotting every person on an x–y grid (East = +x, North = +y), the "odd one out" is the pair whose relative compass direction breaks the pattern shared by the other four. The governing idea: decode the symbols into coordinates, then compare each given pair by the direction of the first letter relative to the second.
Decode the symbols
@= East of, distance 4 m or 15 m#= West of, distance 7 m or 18 m&= North of, distance 4 m or 15 m%= South of, distance 7 m or 18 m
Build the layout
Take M at the origin (0, 0). Reading J&K#L%M as J&K, K#L, L%M and B&N#M as B&N, N#M, and applying the distance inequalities BN < MN < KL and JK > ML, exactly one consistent layout survives:
L%M → L is South of M by 7 → L = (0, −7).
K#L → K is West of L by 18 → K = (−18, −7).
J&K → J is North of K by 15 → J = (−18, 8).
N#M → N is West of M by 7 → N = (−7, 0).
B&N → B is North of N by 4 → B = (−7, 4).
Compare each pair by direction
Pair | First relative to second | Direction |
|---|---|---|
BM | B(−7,4) vs M(0,0) | North-West |
BL | B(−7,4) vs L(0,−7) | North-West |
NL | N(−7,0) vs L(0,−7) | North-West |
JM | J(−18,8) vs M(0,0) | North-West |
KN | K(−18,−7) vs N(−7,0) | South-West |
Result
Four pairs — BM, BL, NL and JM — share the property that the first letter lies to the North-West of the second. In the pair KN, K lies to the South-West of N, so it breaks the shared direction and is the one that does not belong to the group.