GATE 2017 EC (EC2) – Question 10

General Aptitude · Spatial Aptitude: Spatial Reasoning and Visualization · 2 marks · Multiple choice

A contour line joins locations having the same height above mean sea level. The geographical contour plot shown has contours at 25 m intervals. Which is the steepest path leaving P?

Diagram for GATE 2017 EC (EC2) question 10

P to Q
P to R
P to S
P to T

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Show answer and explanation

Correct answer: (B) P to R

Explanation

Slope magnitude is elevation change divided by horizontal distance. Because the contours differ by the same 25 m increment, more tightly spaced crossings indicate a steeper slope.

Compare the four marked paths using the map scale and the intervening contour crossings. Toward R, the contours are closest and the same elevation loss occurs over the shortest corresponding horizontal distance.

Thus **P to R, B**, is the steepest marked path. The absolute elevation at P alone does not determine the slope.

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