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?

Contour plot with contour interval 25 m. Labelled contours: 425 and 450 at the top left; 500 along the bottom and again near T; 550 around the left hill (P lies on its summit, inside the innermost contour) and around the right hill; 450 for the closed dip at the bottom containing S. Q is at the top right between the outer contours and the 550 contour of the right hill; R is at the top between the two hills; T is at the right edge just above the 500 contour.
Contour map of the geographical region
Choose one option
Official answer and solution
Official answer
C
From
Official GATE 2017 answer key

Solution

Read the elevations of the villages from the contour map and determine which villages have elevations less than or equal to the 525 m flood level.

A contour line connects points of equal elevation above sea level. The contour interval is given as 25 m.

Inspect the location of each village relative to the 525 m contour line:

  1. Village P: Located inside the high peak on the left. The contour lines around P increase inward from 500 m to 525 m, 550 m, and 575 m. Since P lies inside the 575 m contour loop, its elevation is greater than 575 m (well above 525 m).

  2. Village Q: Located on the ridge/peak in the upper right. The contour line enclosing Q is labeled 525 m, with the outer contour being 500 m. This indicates the elevation increases inward, so village Q has an elevation greater than 525 m.

  3. Villages R, S, and T:

    • Village R lies in a lower region outside the 500 m contour, at an elevation below 500 m.
    • Village S lies in the lower plain outside the 500 m contour, at an elevation below 500 m.
    • Village T lies in the low ground between the contours, at an elevation below 500 m.

When the water level rises to 525 m during the flood, any location with an elevation ≤525 m\le 525\text{ m} is submerged.

  • Villages P and Q have elevations >525 m> 525\text{ m} and remain above water.
  • Villages R, S, and T have elevations below 525 m and get submerged.

Therefore, the villages that get submerged are R, S, and T.

Final answer

C

The answer is the one in the official GATE answer key. The solution is this site's own explanation.

Source

Paper
GATE 2017 Computer Science and Information Technology (CS) Session 1
Question
65 of 65, printed as GA Q.65
Section
General Aptitude

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