Question

Point Z is in which direction from Point B?
Statement I: Point X is towards 15m south of Point Y. Point Z is towards 5m west of Point X, which is 13m south-east of Point B.
Statement II: Point B is 6m west of Point X. Point Y is 12m east of Point Z, which is 8m to the north of Point X.
A.If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C.if the data either in statement I alone or in statement II alone is sufficient to answer the question.
D.If the data in both statement I and II together are not sufficient to answer the question.

• A. If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
• B. If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
• C. if the data either in statement I alone or in statement II alone is sufficient to answer the question.
• D. If the data in both statement I and II together are not sufficient to answer the question.

Hint:

In direction-distance DS problems, always check if you can assign fixed coordinates to all points. If more than one arrangement is possible, the data is insufficient.

Answer 1

The Correct Option is D

Step 1: Understanding Statement I
- From B, X is 13m south-east.
- Y is 15m north of X.
- Z is 5m west of X.
We know relative positions of X, Y, Z, and B partially, but there is ambiguity because “south-east” at 13m could correspond to multiple exact coordinates without a fixed orientation grid origin.
Step 2: Understanding Statement II
- B is 6m west of X.
- Z is 8m north of X.
- Y is 12m east of Z.
Again, we have relative distances but no fixed orientation of B to Z without a definitive link to Y’s position from Statement I.
Step 3: Combining I and II
Combining still leaves ambiguity because while X’s location relative to B and Z is known, exact coordinates of B to Z direction can change if angles vary slightly — no fixed single direction emerges. \(⇒\) Even together, not sufficient. \[ \boxed{\text{D}} \]