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In the given diagram, ovals are marked at different heights (h) of a hill. Which one of the following options P, Q, R, and S depicts the top view of the hill?

Profile of a hill rising steeply from 0 km to a peak of 0.8 km at about 0.22 km, then falling gently to near zero at 1.1 km, with horizontal oval cross-sections drawn at several heights

  • A.Top view P: nested ovals along an axis from 0 km, the inner ovals shifted to the right
  • B.Top view Q: nested ovals along an axis from 0 km, the inner ovals shifted left towards 0 km
  • C.Top view R: concentric ovals centred along an axis from 0 km
  • D.Top view S: nested ovals along an axis from 0 km, the inner ovals partly offset and touching the outer ones

Answer: B

The top view is Q.

The profile rises steeply from 0 km to the peak at about 0.22 km and then slopes away gently to beyond 1 km. Each horizontal cross-section therefore extends a short way on the 0 km side of the peak and a long way on the far side.

Seen from above, the large low ovals reach far to the right while the small high ovals cluster near the peak, close to the 0 km end. The contours are packed tightly on the steep left side and spread out on the gentle right side. Q shows exactly this, with the inner ovals shifted towards 0 km.

P shifts the inner ovals to the right, which would put the steep face on the far side. R is concentric, a symmetric hill, and S has its ovals touching on one side, which does not match the smooth profile.

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