Evaluate if the information in the statements is adequate to answer the question posed.
What is the straight-line distance between the starting point X and the final point Y?
Statement:
I. A person walked 5km North from X to P, then 10km East from P to Q.
II. From Q, the person walked 5km South to Y.
Show answer & explanation
Correct answer: C
Explanation
To find the straight-line distance between starting point X and final point Y:
• From Statement I: The person starts at X, walks 5 km North to point P, and then walks 10 km East to point Q. Point Y is not mentioned, so Statement I alone is not sufficient.
• From Statement II: The person walks 5 km South from Q to Y. Starting point X is not mentioned, so Statement II alone is not sufficient.
• Combining Statements I and II:
• X to P = 5 km North
• P to Q = 10 km East
• Q to Y = 5 km South
Since the 5 km North and 5 km South movements cancel each other out, points X and Y lie on the same horizontal line.
Therefore, the straight-line distance between X and Y = 10 km.
Hence, both Statement 1 and Statement 2 together are sufficient.