Concept:To determine the direction of point P relative to point Z, both the horizontal and vertical distances between P and Z must be known precisely.
Explanation:From Statement I, let Z be at
(0,0).
Y is east of Z, so Y is at
(a,0) where
a is unknown.
X is 10 m north of Y, so X is at
(a,10).
P is 4 m west of X, so P is at
(a−4,10).
Since
a is unknown,
a−4 may be positive, negative, or zero.
Hence, P could be north-east, north-west, or directly north of Z.
So Statement I alone is not sufficient.
From Statement II, Z is west of X, so X lies east of Z but the distance is unknown.
Z is 5 m south of W, and X is 7 m north of B.
This fixes the vertical positions of W and B relative to Z and X, but the horizontal distance between Z and X is unknown.
B is east of P, so P lies west of B, but the distance between B and P is unknown.
Therefore, P may lie south-east or south-west of Z.
So Statement II alone is not sufficient.
Combining both statements still does not provide the actual distance between Y and Z or between Z and X.
Without these distances, the exact direction of P from Z cannot be determined.
Thus, both statements together are also insufficient.
Answer:Data in both statements I and II together are not sufficient.
