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Official PYQ · 2017

GATE CS 2017 Set 1 QGA-10 — General Aptitude

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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 2525 m intervals in this plot. If in a flood, the water level rises to 525525 m, which of the villages P,Q,R,S,TP, Q, R, S, T get submerged?

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Answer: C

A contour line joins locations of equal elevation above mean sea level. A village will get submerged if its elevation is strictly less than the flood water level of 525 m525\text{ m}.

By analyzing the contour lines (which are spaced at 25 m25\text{ m} intervals):

  • Village PP: Located inside the 550 m550\text{ m} contour line. Elevation(P)>550 m>525 m  ⟹  Safe\text{Elevation}(P) > 550\text{ m} > 525\text{ m} \implies \text{Safe}
  • Village QQ: Located between the 525 m525\text{ m} and 550 m550\text{ m} contour lines. 525 m<Elevation(Q)<550 m  ⟹  Safe525\text{ m} < \text{Elevation}(Q) < 550\text{ m} \implies \text{Safe}
  • Village TT: Located between the 500 m500\text{ m} and 525 m525\text{ m} contour lines. 500 m<Elevation(T)<525 m  ⟹  Submerged500\text{ m} < \text{Elevation}(T) < 525\text{ m} \implies \text{Submerged}
  • Villages RR and SS: Located outside the 500 m500\text{ m} contour line on the lower elevation side. Elevation(R,S)<500 m<525 m  ⟹  Submerged\text{Elevation}(R, S) < 500\text{ m} < 525\text{ m} \implies \text{Submerged}

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

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