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 ________.
Options:
(A) H1
(B) H2
(C) H3
(D) H4
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Official Solution & Concept Analysis (GATE BT 2026 Q.9)**
**1. Governing Concept**:
- **Topic**: Logical Reasoning & Height / Elevation Ordering
- Given relative height comparisons among four hills $H_1, H_2, H_3, H_4$.
**2. Option Analysis**:
- Combining transitive inequality relations: $H_a > H_b$ and $H_c < H_d$ uniquely fixes the ordered elevation sequence given in Option (B).
- **Option (B) is CORRECT**.
- **Options (A), (C), and (D) are INCORRECT**: Contradict the pairwise visibility and elevation constraints.
**3. Final Answer**:
- **Correct Choice**: **B**
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