GATE 2026 XH2 (English) – Question 9
Four hills H1, H2, H3, and H4 are present in an area. The following observations are made about them:
i. Neither H2 nor H3 is the easternmost hill.
ii. Neither H2 nor H3 is the westernmost hill.
iii. Neither the easternmost hill nor the westernmost hill is the southernmost hill.
iv. Two hills are located to the west of H2.
v. The southernmost hill has at least two hills to its east.
The southernmost hill is ________.
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Correct answer: (C) H3
Explanation
From (i) and (ii), the easternmost and westernmost hills are H1 and H4 in some order. From (iv), H2 has two hills to its west, so from west to east the order is (H1 or H4), H3, H2, (H4 or H1). By (iii) the southernmost hill is not an end hill, so it is H3 or H2. By (v) it needs at least two hills to its east: H3 has two (H2 and the easternmost hill) but H2 has only one. So the southernmost hill is H3.