GATE 2026 CH – 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), H1 and H4 are the two end hills (one is easternmost, the other westernmost) and H2 and H3 are in the middle. From (iv), exactly two hills are west of H2, so H2 is third from the west, and H3 is second. West to east the order is: end hill, H3, H2, other end hill. By (iii) the southernmost hill is not an end, so it is H2 or H3. By (v) it needs two hills to its east. H2 has only one, but H3 has two (H2 and the east end). So H3 is the southernmost.