GATE CE 2026 Set 2 — Question 41
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Geomatics Engineering → Levelling → Differential Levelling
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Question
For the traverse given below, the benchmark is at ground point L. The Reduced Level (RL) of L is m. The direction of the traverse is from L to N. The readings on levelling staff using the same levelling instrument kept at Stations S1 and S2 during the traversing are shown in the figure.
Matching the information given under Column 1 and Column 2, which one of the following options is CORRECT?
| Column 1 | Column 2 |
|---|---|
| (I) Sum of Back Sights | (P) m |
| (II) Sum of Fore Sights | (Q) m |
| (III) RL of Point N | (R) m |
| (S) m | |
| (T) m |
Correct answer
(A) (I) - (P); (II) - (S); (III) - (R)
Solution
From the figure:
At Station S1: Back Sight (BS) on L = m, Fore Sight (FS) on M = m.
At Station S2: Back Sight (BS) on M = m, Fore Sight (FS) on N = m.(I) Sum of Back Sights = m. Matches (P).
(II) Sum of Fore Sights = m. Matches (S).
(III) RL of Point N:
Using the arithmetic check:
m. Matches (R).Correct match: (I)-(P), (II)-(S), (III)-(R).
At Station S1: Back Sight (BS) on L = m, Fore Sight (FS) on M = m.
At Station S2: Back Sight (BS) on M = m, Fore Sight (FS) on N = m.(I) Sum of Back Sights = m. Matches (P).
(II) Sum of Fore Sights = m. Matches (S).
(III) RL of Point N:
Using the arithmetic check:
m. Matches (R).Correct match: (I)-(P), (II)-(S), (III)-(R).
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