Correct option is A
Let's analyze the relationship in the given pair: ROUT : 5487.
Each letter in ROUT corresponds to a digit:
R = 5
O = 4
U = 8
T = 7
Now, let's analyze each option to find which one does not follow the same relationship:
ROT : 587
R = 5, O = 4, T = 7
But in the given pair, O should be 4, not 5, so this does not match.
TOR : 745
T = 7, O = 4, R = 5
This matches the pattern.
OUT : 487
O = 4, U = 8, T = 7
This also matches the pattern.
OUR : 485
O = 4, U = 8, R = 5
This also matches the pattern.
So, the odd one out is ROT : 587 (A) because the digit for O is incorrect.