GATE CS 2017 Set 1 — Question 65
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General Aptitude → Quantitative Aptitude → Data Interpretation (Bar, Pie, Graphs, Tables)
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Question
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25 m intervals in this plot. If in a flood, the water level rises to 525 m, which of the villages P, Q, R, S, T get submerged?
Correct answer
(C) R, S, T
Solution
The problem asks to identify villages with an elevation less than 525 m, as these will be submerged.
1.Analyze the contour lines:
- The lines are at 25 m intervals.
- We see labels for 425, 450, 500, and 550.
- Between the 500 m line and the 550 m line, there must be one intermediate line representing 525 m (since ).
- Similarly, between 450 m and 500 m, there is a line for 475 m.
- Village P: It is enclosed by the 550 m contour line. Since contour values increase towards the center of the peak (indicated by the progression 425 -> 450 -> ... -> 550), the elevation of P is m. P is safe.
- Village Q: It is inside a separate closed loop on the right. Given the topography, this is likely another peak or high ground similar to P. Assuming it follows the general rising trend or is a local peak above the surrounding 500+ m terrain, Q is likely m. If Q were in a depression (sinkhole), it would typically be marked with hachures, which are absent. Thus, Q is safe.
- Village R: It is located in the region between the 450 m and 500 m contours (specifically near the 475 m line). Its elevation is clearly m, so it is m. R will be submerged.
- Village S: It is located near the 450 m contour. Its elevation is m. S will be submerged.
- Village T: It is located near the 500 m contour line but outside the 525 m contour line (which is the line immediately surrounding the 550 m peak area). Its elevation is approximately 500 m, which is m. T will be submerged.
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