Four hills H1, H2, H3, and H4 are present in an area. The following…
2026
Four hills H1, H2, H3, and H4 are present in an area. The following observations are made about them:
Neither H2 nor H3 is the easternmost hill.
Neither H2 nor H3 is the westernmost hill.
Neither the easternmost hill nor the westernmost hill is the southernmost hill.
Two hills are located to the west of H2.
The southernmost hill has at least two hills to its east.
The southernmost hill is ________.
Answer: C. H3 — From (iv), \(H_2\) has two hills to its west, so among four hills it is third from the west. Since \(H_3\) is neither easternmost nor westernmost, \(H_3\) is…
- A.
H1
- B.
H2
- C.
H3
- D.
H4
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Correct answer: C
From (iv), \(H_2\) has two hills to its west, so among four hills it is third from the west. Since \(H_3\) is neither easternmost nor westernmost, \(H_3\) is second from the west. Thus \(H_1\) and \(H_4\) occupy the westernmost and easternmost positions in some order. Condition (iii) excludes the easternmost and westernmost hills from being southernmost, leaving \(H_2\) or \(H_3\). Condition (v) requires the southernmost hill to have at least two hills to its east; \(H_2\) has only one hill to its east, while \(H_3\) has two. Therefore the southernmost hill is \(H_3\).