What topics are covered on Page 3 of GATE 2026 Civil Engineering Set 1?

Page 3 contains Questions 27 to 39. It begins with a laminar pipe-flow question, followed by General Aptitude questions covering grammar, visual reasoning, geometry, logical inference, synonyms and quantitative reasoning. The final questions cover surveying concepts including levelling, gradient, whole circle bearing, latitude and departure.

What is the velocity at half the pipe radius in the GATE 2026 laminar flow question?

The correct velocity is 1.50 m/s. For laminar flow in a circular pipe, the velocity distribution is parabolic. At half the radius, the velocity equals 75 percent of the maximum velocity of 2 m/s.

What is the ground gradient in the GATE 2026 Civil levelling question?

The gradient obtained from the consecutive dumpy-level readings is approximately -4 percent when rounded to the integer value requested in the question.

What are the latitude and departure for a 100 m line with whole circle bearing 150 degrees?

For a line AB of length 100 m and whole circle bearing 150 degrees, the latitude is -86.60 m and the departure is +50.00 m.

Civil Engineering Gate 2026 Set-1 Questions with Answer

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Ques 27 GATE 2026 SET-1

In a laminar flow of a Newtonian fluid through a circular pipe of radius 5 cm, the maximum velocity is found to be 2 m/s. The velocity (in m/s) at a radial distance of 2.50 cm from the axis of the pipe is

1.00

1.25

1.50

1.75

For laminar (Hagen-Poiseuille) flow in a circular pipe, the velocity distribution is parabolic and given by u(r) = u_max × [1 − (r/R)²], where u_max is the maximum velocity at the centre (r = 0), R is the pipe radius, and r is the radial distance from the axis.
Given u_max = 2 m/s, R = 5 cm, and r = 2.5 cm:
u(2.5) = 2 × [1 − (2.5/5)²] = 2 × [1 − 0.25] = 2 × 0.75 = 1.50 m/s
At exactly half the radius, the velocity is 75% of the maximum, which is a direct consequence of the parabolic profile — each halving of the radius fraction removes only (r/R)² of the maximum, not half of it.
Correct answer: C — 1.50 m/s ✓

Ques 28 GATE 2026 SET-1

The shopkeeper sells lemons.
In this sentence, the word ‘lemons’ is the ________.

object

subject

predicate

verb

(a) is the correct answer.

Ques 29 GATE 2026 SET-1

The figure below is supposed to show three non-overlapping shapes – one oval and two triangles. Which one of the following figures P, Q, R, or S fits the missing portion indicated by ‘?’ and completes the oval and the two triangles?

(a) is the correct answer.

Ques 30 GATE 2026 SET-1

At how many points will the curves y = x² and y = −x² − 2x − 1 intersect in the real (x, y) plane?

(b) is the correct answer.

Ques 31 GATE 2026 SET-1

‘If Anish had scored hundred runs in today’s match, he would have been made the captain of his team. He would have then become the youngest captain in his team’s history. Unfortunately, he got out without scoring any runs. Hence, there won’t be any change in the captaincy for now.’

Based on the paragraph above, which one of the following statements is true?

Anish made hundred runs but was denied captaincy.

Anish was the captain of his team before the game today.

The current captain is older than Anish.

Anish is the youngest player in his team.

Ques 32 GATE 2026 SET-1

Which one of the following figures P, Q, R, or S, correctly shows the 45° clockwise-rotated version of figure (I)?

(b) is the correct answer.

Ques 33 GATE 2026 SET-1

Match the words in Column I with their synonyms in Column II.

Column I      Column II
(i) Lonely      (p) Verbatim
(ii) Literal      (q) Solitary
(iii) Lousy      (r) Deadly
(iv) Lethal      (s) Terrible

(i)-(q); (ii)-(p); (iii)-(s); (iv)-(r)

(i)-(q); (ii)-(s); (iii)-(r); (iv)-(p)

(i)-(s); (ii)-(p); (iii)-(q); (iv)-(r)

(i)-(r); (ii)-(s); (iii)-(p); (iv)-(q)

(a) is the correct answer.

Ques 34 GATE 2026 SET-1

In the given figure, PQ̅ is the diameter of a circle with center O. Two points R and S are chosen on the circle such that ∠ROS = 80°. When PR̅ and QS̅ are extended, they meet at T. The value of ∠RTS is _________________

40°

50°

60°

80°

(40°) is the correct answer.

Ques 35 GATE 2026 SET-1

Based on the relationship between each polygon and the number inside it, the value of ‘X’ is ______

720

596

240

(a) is the correct answer.

Ques 36 GATE 2026 SET-1

Consider a linear arrangement of seven bulbs, each of which can be in the ON or OFF states. The initial configuration of the bulbs is shown in the figure. In every Step, the states of the bulbs are changed based on the following rules:
• Any OFF bulb with exactly one ON neighbor at the end of the previous Step is turned ON.
• Any ON bulb with both neighbors ON at the end of the previous Step is turned OFF.
• The state of any bulb not meeting the conditions above is left unchanged.

The state of bulbs at the end of Step 1 and Step 2 are also shown in the figure.
The number of bulbs which are ON at the end of Step 8 is ______

(b) is the correct answer.

Ques 37 GATE 2026 SET-1

P and Q are two positive integers such that P² = Q² + 13.
The product of the numbers P and Q is _________

(42) is the correct answer.

Ques 38 GATE 2026 SET-1

The following consecutive readings (in m) were taken with a dumpy level and a levelling staff at a common interval of 20 m:

0.385; 1.030; 1.925; 2.825; 3.730; 4.850; 1.045; 2.005; 3.330; 4.580

The dumpy level was shifted after taking the sixth reading.

The gradient (in %) of the ground between the first and the last location of the reading is ______ (in integer).

(-4) is the correct answer.

The 10 staff readings are taken at 10 consecutive points spaced 20 m apart. The instrument is shifted after the 6th reading, with reading 6 serving as the foresight at the change point and reading 7 as the backsight at the same change point.
Setting RL of point 1 = 0 (arbitrary datum):
HI₁ = 0 + 0.385 = 0.385 m
RL₂ = −0.645 m, RL₃ = −1.540 m, RL₄ = −2.440 m, RL₅ = −3.345 m, RL₆ = −4.465 m
After instrument shift: HI₂ = −4.465 + 1.045 = −3.420 m
RL₈ = −5.425 m, RL₉ = −6.750 m, RL₁₀ = −8.000 m
Total fall = 8.000 m over 9 intervals × 20 m = 180 m
Gradient = −8.000/180 × 100 = −4.44%
Correct answer: −4 (rounded to integer)

Ques 39 GATE 2026 SET-1

The Whole Circle Bearing (WCB) of line AB is 150°. The length of AB is 100 m. The latitude and departure values, respectively, for this line are:

+86.60 ; +50.00

+86.60 ; −50.00

−86.60 ; +50.00

−86.60 ; −50.00

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