contour plot of a geographical region. Contour lines are shown at 25 m intervals in this plot.
The path from P to Q is best described by
(c) Down–Up–Down (d) Up–Down–Up
Introduction
Topographic maps use contour lines to represent equal elevation.
When you walk across contours:
- Crossing toward inner closed loops means going uphill
- Leaving inner loops means going downhill
In the figure, contour lines are spaced at 25 m intervals.
We track the elevation change as a person moves from point P to point Q and describe the pattern.
🔍 Step-by-Step Interpretation
📌 Start point (P)
P lies near the 550 m contour and is inside a smaller loop, meaning it is on a local high.
📍 Move from P outward
The path crosses toward wider loops →
➡️ Height decreases (Down)
from ~550 → 525 → 500 m
📍 Middle of the path
The path enters another set of contour loops →
➡️ Height increases (Up)
toward another hill (~525–550 m)
📍 Slight drop before final ascent
Between two hills the elevation dips slightly →
➡️ Height decreases (Down)
📍 Final approach to Q
Q is marked near 575 m, above the 550 contour →
➡️ Height increases again (Up)
⭐ Pattern observed
Down → Up → Down → Up
✅ Correct Answer
(b) Down–Up–Down–Up
❌ Why Other Options Are Wrong
(a) Up–Down–Up–Down
Would mean P starts below a peak and repeatedly climbs and falls.
But P begins on a high contour and first movement is downhill → Incorrect start direction
(c) Down–Up–Down
Matches the first three transitions but misses the final climb to Q, which is clearly higher → Incomplete
(d) Up–Down–Up
Again assumes the first movement is upward, which contradicts the map → Incorrect
🎯 Final Conclusion
Following the blue path from P to Q, the elevation:
- Drops from a hill (P)
- Climbs toward a second hill
- Drops into a small saddle
- Climbs again to reach Q
⭐ Therefore, the correct description is:
(b) Down–Up–Down–Up


