Back to Years

Type:ALLMCQNATMSQ

General Aptitude(10)Engineering Mathematics(9)Structural Engineering(9)Geotechnical Engineering(8)Water Resources Engineering(9)Environmental Engineering(7)Transportation Engineering(7)Geomatics Engineering(3)Construction Materials and Management(3)

General Aptitude

10 Questions

GATE→2025→General Aptitude→Verbal Ability

Q1

MCQ[1 Mark]

Is there any good show ___ television tonight?

(A)

in

(B)

at

(C)

within

(D)

on

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q2

MCQ[1 Mark]

As the police officer was found guilty of embezzlement, he was ___ dismissed from the service in accordance with the Service Rules.

(A)

sumptuously

(B)

unintentionally

(C)

summarily

(D)

IT Roorkee

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q3

MCQ[1 Mark]

The sum of the following infinite series is: $\frac{1}{1!} + \frac{1}{2!} + \frac{1}{3!} + \frac{1}{4!} + \frac{1}{5!} + \dots$

(A)

\pi

(B)

1+e

(C)

e-1

(D)

e

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q4

MCQ[1 Mark]

A thin wire is used to construct all edges of a cube of 1 m side. If the wire is 12 m long, what is the minimum number of cuts required to construct the wire frame?

(A)

3

(B)

6

(C)

9

(D)

12

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q5

MCQ[1 Mark]

The figures I, II and III are parts of a sequence. Which one of the following options comes next in the sequence at IV?

(A)

A

(B)

B

(C)

C

(D)

D

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q6

MCQ[2 Marks]

Based on Hilaire Belloc's 'The Crooked Streets' passage, which one of the statements is true?

(A)

The author of the passage takes delight in wondering.

(B)

The wealthier nations are pulling down the crooked streets in their capitals.

(C)

In the past, crooked streets were only built on islands.

(D)

Great broad ways are needed to protect commerce and history.

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

Rohit enters a restaurant at 1 PM when clock hands coincide, and leaves when they coincide again. Time spent is

(A)

64 6/11

(B)

66 5/13

(C)

65 5/11

(D)

66 6/13

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q8

MCQ[2 Marks]

Color model Venn diagram relationship analysis. Which option displays consistent color codes?

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q9

MCQ[2 Marks]

A circle with center $(0.5, 0)$ and radius $0.5$ intersects another circle with center $(1, 1)$ and radius $1$. One intersection point is

(A)

(0,0)

(B)

(0.2, 0.4)

(C)

(0.5, 0.5)

(D)

(1,2)

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q10

MCQ[2 Marks]

Which one of the following objects exhibits 4-fold rotational symmetry about an axis perpendicular to the plane of the screen?

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

Engineering Mathematics

9 Questions

GATE→2025→Engineering Mathematics→Linear Algebra

Q11

MCQ[1 Mark]

Suppose $\lambda$ is an eigenvalue of matrix $A$ and $x$ is the corresponding eigenvector. For matrix $B = A - 2I$, the eigenvalue corresponding to $x$ is

(A)

\lambda

(B)

\lambda+2

(C)

2\lambda

(D)

\lambda-2

Explanation

GATE→2025→Engineering Mathematics→Linear Algebra

Q12

MCQ[1 Mark]

Let $A = \begin{bmatrix} 1 & 1 \\ 1 & 3 \\ -2 & -3 \end{bmatrix}$ and $b = \begin{bmatrix} b_1 \\ b_2 \\ b_3 \end{bmatrix}$. For $Ax = b$ to be solvable, the correct condition on $b_1, b_2, b_3$ is

(A)

$b_1+b_2+b_3=1$

(B)

$3b_1+b_2+2b_3=0$

(C)

$b_1+3b_2+b_3=2$

(D)

$b_1+b_2+b_3=2$

Explanation

GATE→2025→Engineering Mathematics→Partial Differential Equations (PDE)

Q13

MCQ[1 Mark]

Which one of Participating options is the correct Fourier series of the periodic function $f(x)$ with period 4?

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

GATE→2025→Engineering Mathematics→Probability and Statistics

Q14

MCQ[1 Mark]

X is a random variable with given probability mass function. Then, the variance of X is

(A)

20.81

(B)

28.40

(C)

31.70

(D)

10.89

Explanation

GATE→2025→Engineering Mathematics→Partial Differential Equations (PDE)

Q15

MSQ[1 Mark]

Which of the following equations belong to the class of second-order, linear, homogeneous partial differential equations?

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

GATE→2025→Engineering Mathematics→Calculus

Q16

MCQ[2 Marks]

The value of $\lim_{x \to \infty} (x - \sqrt{x^2 + x})$ is equal to

(A)

-1

(B)

-0.5

(C)

-2

(D)

0

Explanation

GATE→2025→Engineering Mathematics→Ordinary Differential Equations (ODE)

Q17

NAT[2 Marks]

Let $y$ be the solution of initial value problem $y'' + 0.8y' + 0.16y = 0$, $y(0)=3$, $y'(0)=4.5$. Then $y(1)$ is equal to

Explanation

GATE→2025→Engineering Mathematics→Calculus

Q18

NAT[2 Marks]

The maximum value of function $h(x) = -x^3 + 2x^2$ in the interval $[-1, 1.5]$ is equal to

Explanation

GATE→2025→Engineering Mathematics→Numerical Methods

Q19

NAT[2 Marks]

Using Euler method with step size $h = 0.5$ for $\frac{dy}{dx} = y + 2x - x^2$, $y(0)=1$, the value of $y$ at $x = 1.0$ is

Explanation

Structural Engineering

9 Questions

GATE→2025→Structural Engineering→Concrete Structures

Q20

MCQ[1 Mark]

As per IS 456:2000 provisions for two-way slabs with continuous edges, the longitudinal steel reinforcement to be provided in the edge strip is based on

(A)

calculated minimum bending moment

(B)

area of longitudinal steel provided in middle strip in shorter span

(C)

area of longitudinal steel provided in middle strip in longer span

(D)

prescribed minimum cross-sectional area of longitudinal steel for slabs

Explanation

GATE→2025→Structural Engineering→Structural Analysis

Q21

MSQ[1 Mark]

Consider the frame under 100 kN-m couples at joints B and G. Which of the following statements is/are true:

(A)

Axial force is zero in member CD

(B)

Shear force is zero in member CD

(C)

There is no rotation in joint C

(D)

Bending moment in member BC at end C is more than 50 kN-m

Explanation

GATE→2025→Structural Engineering→Structural Analysis

Q22

MCQ[2 Marks]

In the rigid-jointed frame shown in the figure, the distribution factor of the member AD is closest to

(A)

0.254

(B)

0.267

(C)

0.398

(D)

0.421

Explanation

GATE→2025→Structural Engineering→Structural Analysis

Q23

MSQ[2 Marks]

Consider the beam ACDEB given in the figure. Which of the following statements is/are correct:

(A)

Bending moment is zero between points A and C

(B)

There is a sudden jump in shear force at point D

(C)

There is a sudden jump in bending moment at point E

(D)

Bending moment is zero somewhere between points D and E

Explanation

GATE→2025→Structural Engineering→Structural Analysis

Q24

NAT[2 Marks]

For beam and loading shown, second derivative of deflection curve at mid-point of AC is given by $\alpha M_0 / 8EI$. Value of $\alpha$ is

Explanation

GATE→2025→Structural Engineering→Structural Analysis

Q25

NAT[2 Marks]

Rigid bar ABC supported by links BD and CE. If CE elongates by 5 mm due to load P, downward deflection of end A (in mm) is

Explanation

GATE→2025→Structural Engineering→Concrete Structures

Q26

NAT[2 Marks]

RCC beam section 300 mm width, 700 mm depth, tension steel $2000\text{ mm}^2$. Modular ratio 12, $E_s = 200\text{ GPa}$. When extreme compression fiber strain is 0.0004, steel stress (in MPa) is

Explanation

GATE→2025→Structural Engineering→Steel Structures

Q27

NAT[2 Marks]

T-beam section with given dimensions. Neutral axis depth $\bar{y} = 18.75$ mm unyielding, $\bar{y} = 5$ mm fully yielded. Shape factor is

Explanation

GATE→2025→Structural Engineering→Steel Structures

Q28

NAT[2 Marks]

Built-up column with batten plates connected by 6 black bolts for longitudinal shear 70 kN and moment 10 kN-m. Minimum bolt value required (in kN) is

Explanation

Geotechnical Engineering

8 Questions

GATE→2025→Geotechnical Engineering→Compaction, Consolidation & Shear Strength

Q29

MCQ[1 Mark]

Results of a consolidated drained triaxial test on a normally consolidated clay are shown in the figure. The angle of internal friction is

(A)

sin^-1(1/2)

(B)

sin^-1(1/3)

(C)

sin^-1(2/3)

(D)

sin^-1(3/4)

Explanation

GATE→2025→Geotechnical Engineering→Soil Properties, Classification & Seepage

Q30

MCQ[1 Mark]

The standard plasticity chart for fine-grained soil classification is shown. As per Indian standard soil classification system, X represents

(A)

inorganic clay with medium plasticity

(B)

inorganic silt with medium plasticity

(C)

inorganic clay with high plasticity

(D)

inorganic silt with high compressibility

Explanation

GATE→2025→Geotechnical Engineering→Compaction, Consolidation & Shear Strength

Q31

MCQ[2 Marks]

In an oedometer apparatus, saturated clay consolidated under 100 kPa. Immediately on increasing vertical pressure to 150 kPa, effective stress $\sigma'$ and excess pore pressure $\Delta u$ are

(A)

\sigma' = 50 kPa, \Delta u = 100 kPa

(B)

\sigma' = 100 kPa, \Delta u = 50 kPa

(C)

\sigma' = 150 kPa, \Delta u = 50 kPa

(D)

\sigma' = 100 kPa, \Delta u = 150 kPa

Explanation

GATE→2025→Geotechnical Engineering→Sub-surface Investigations, Earth Pressure & Slope Stability

Q32

NAT[2 Marks]

Cut slope in silty clay ($c' = 15\text{ kPa}$, $\phi' = 15^{\circ}$). Shear stress at point A is $60\text{ kN/m}^2$. Factor of safety for long-term stability is

Explanation

GATE→2025→Geotechnical Engineering→Shallow & Deep Foundations

Q33

NAT[2 Marks]

A $6\text{ m} \times 6\text{ m}$ square footing in clay subjected to 2500 kN load at 2 m depth. Unit weight of concrete = $24\text{ kN/m}^3$, soil cohesion $c = 50\text{ kN/m}^2$. Factor of safety against bearing capacity is

Explanation

GATE→2025→Geotechnical Engineering→Soil Properties, Classification & Seepage

Q34

NAT[2 Marks]

Clayey soil has moisture content 18%, $G_s = 2.74$, degree of saturation 65%. After soaking, saturation increases to 85.2% with negligible volume change. New moisture content (%) is

Explanation

GATE→2025→Geotechnical Engineering→Shallow & Deep Foundations

Q35

NAT[2 Marks]

Single pile 450 mm diameter in homogeneous clay, cu=20 kPa, unit weight 18 kN/m3. Column load 144 kN, FOS = 3. Required embedment depth is

Explanation

GATE→2025→Geotechnical Engineering→Soil Properties, Classification & Seepage

Q36

NAT[2 Marks]

Two soils in horizontal flow apparatus. Soil 1: L1=50cm, k1=0.055 cm/s; Soil 2: L2=30cm, k2=0.035 cm/s. Area 100 cm^2, head diff 150 cm. Discharge is

Explanation

Water Resources Engineering

9 Questions

GATE→2025→Water Resources Engineering→Hydraulics

Q37

MCQ[1 Mark]

For a flowing fluid, a dimensionless combination of velocity ($V$), length scale ($l$), and acceleration due to gravity ($g$) would be

(A)

V^2/gl

(B)

Vg/l

(C)

gl^2/V

(D)

l/V^2g

Explanation

GATE→2025→Water Resources Engineering→Hydrology

Q38

MCQ[1 Mark]

To derive total flood hydrograph at a catchment outlet, the order of applied methods from first to last is P (Hyetograph), Q (Baseflow), R (Losses), S (Unit hydrograph)

(A)

PRSQ

(B)

PQRS

(C)

RPSQ

(D)

PSQR

Explanation

GATE→2025→Water Resources Engineering→Fluid Mechanics

Q39

MSQ[1 Mark]

For Bernoulli's equation to be applicable in fluid flow, which conditions must be satisfied:

(A)

Fluid should be frictionless

(B)

Fluid should be incompressible

(C)

Flow should be steady

(D)

Flow should be rotational

Explanation

GATE→2025→Water Resources Engineering→Hydrology

Q40

NAT[1 Mark]

A water resources project with expected life of 25 years is designed for an acceptable risk of 5%. The return period for design flood is

Explanation

GATE→2025→Water Resources Engineering→Hydrology

Q41

MCQ[2 Marks]

Mean rainfall over a catchment estimated using 4 rain gauges with given Thiessen weights and rainfall values. Which statement is correct:

(A)

Estimate from Thiessen-mean method is greater than arithmetic-mean

(B)

Estimate from Thiessen-mean method is equal to arithmetic-mean

(C)

Estimate from Thiessen-mean method is less than arithmetic-mean

(D)

Thiessen-mean method cannot be applied

Explanation

GATE→2025→Water Resources Engineering→Irrigation

Q42

MSQ[2 Marks]

Regarding Lacey's regime equations ($D = 0.470(Q/f_s)^{1/3}$, $P = 4.75\sqrt{Q}$, $f_s = 1.76\sqrt{d}$), which statements are true:

(A)

D is depth of scour below existing riverbed

(B)

P is Lacey's waterway width

(C)

d is average grain size diameter in centimeters

(D)

D is depth of scour below design flood level

Explanation

GATE→2025→Water Resources Engineering→Hydraulics

Q43

NAT[2 Marks]

Hydraulic jump in 5 m wide rectangular channel, discharge 15 m3/s, upstream depth 0.5 m. Power dissipated is

Explanation

GATE→2025→Water Resources Engineering→Irrigation

Q44

NAT[2 Marks]

Symmetrical trapezoidal canal 100 km long, bottom width 10 m, side slope 1H:1V. Depth 2.5 m in April. Evaporation 0.5 cm/day. Volume evaporated is

Explanation

GATE→2025→Water Resources Engineering→Hydraulics

Q45

NAT[2 Marks]

5 m wide rectangular channel carries 10 m3/s at 1.5 m depth. To produce critical flow without affecting upstream, channel bottom raised by

Explanation

Environmental Engineering

7 Questions

GATE→2025→Environmental Engineering→Water and Wastewater Quality and Treatment

Q46

MCQ[1 Mark]

Fecal Coliform concentration in river water was 10780 cfu/100 ml, reduced to 23 cfu/100 ml before chlorination. Log Kill is closest to

(A)

4.00

(B)

2.50

(C)

2.67

(D)

3.00

Explanation

GATE→2025→Environmental Engineering→Air Pollution

Q47

MCQ[1 Mark]

Hydrocarbon ($C_n H_m$) is burnt in air. Stoichiometric fuel to air mass ratio for this process is given by

(A)

$0.0291 \frac{4n+m}{12n+m}$

(B)

$34.42 \frac{12n+m}{4n+m}$

(C)

$34.42 \frac{4n+m}{12n+m}$

(D)

$0.0291 \frac{12n+m}{4n+m}$

Explanation

GATE→2025→Environmental Engineering→Water and Wastewater Quality and Treatment

Q48

MSQ[1 Mark]

Surface Overflow Rate is 45 m3/m2/d. Minimum diameters of spherical inorganic and organic particles completely removed using Stokes' law are evaluated. Correct options are

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

GATE→2025→Environmental Engineering→Water and Wastewater Quality and Treatment

Q49

MSQ[1 Mark]

Identify the pollutant(s) where aeration is employed as a part of their removal:

(A)

Iron

(B)

Cadmium

(C)

Manganese

(D)

Zinc

Explanation

GATE→2025→Environmental Engineering→Water and Wastewater Quality and Treatment

Q50

MSQ[2 Marks]

$MgCl_2$ and $CaSO_4$ added to water. TDS = 500 mg/L, Total Hardness = 400 mg/L as $CaCO_3$. Which option is/are true:

(A)

Amount of MgCl2 added is 143 mg

(B)

Amount of CaSO4 added is 357 mg

(C)

Amount of MgCl2 added is 103 mg

(D)

Amount of CaSO4 added is 397 mg

Explanation

GATE→2025→Environmental Engineering→Water and Wastewater Quality and Treatment

Q51

MSQ[2 Marks]

A facultative pond system is employed for wastewater treatment. Which of the following statements is/are true:

(A)

Dissolved oxygen concentration will be high during daytime compared to night-time

(B)

pH will be high during daytime compared to night-time

(C)

Dissolved oxygen concentration will be low during daytime

(D)

pH will be low during daytime

Explanation

GATE→2025→Environmental Engineering→Municipal Solid Wastes

Q52

MSQ[2 Marks]

Organic fraction of MSW mixed with municipal sludge. Which of the following options is/are true:

(A)

0.33 kg of sludge added per kg of OFMSW

(B)

Density of mixture is 365 kg/m^3

(C)

0.66 kg of sludge added per kg of OFMSW

(D)

Density of mixture is 450 kg/m^3

Explanation

Transportation Engineering

7 Questions

GATE→2025→Transportation Engineering→Traffic Engineering

Q53

MCQ[1 Mark]

All vehicles during a peak hour arrive within a 10-minute period. The 15-minute peak hour factor (PHF) is

(A)

0.25

(B)

0.167

(C)

0.75

(D)

1.0

Explanation

GATE→2025→Transportation Engineering→Highway Pavements

Q54

MCQ[1 Mark]

In the context of testing bitumen, which one of the following statements is FALSE:

(A)

Penetration test depth is measured in tenths of millimeter.

(B)

Softening point is measured using ring and ball apparatus.

(C)

Softening point is measured in units of time.

(D)

Ductility is measured in units of length.

Explanation

GATE→2025→Transportation Engineering→Transportation Infrastructure

Q55

MCQ[1 Mark]

The maximum degree of the curve that can be used for railways in a mountainous region is

(A)

10

(B)

20

(C)

50

(D)

40

Explanation

GATE→2025→Transportation Engineering→Transportation Infrastructure

Q56

NAT[1 Mark]

Road A and Road B are joined by a circular horizontal curve of radius 200 m. Tangent distance CE = 92 m. The angle $\theta$ (in degrees) is

Explanation

GATE→2025→Transportation Engineering→Traffic Engineering

Q57

MCQ[2 Marks]

The speed-density relation on a single lane road has max speed 90 km/h at density 10 veh/km and jam density 100 veh/km. Maximum flow (in veh/h) is

(A)

2500

(B)

900

(C)

2250

(D)

2000

Explanation

GATE→2025→Transportation Engineering→Traffic Engineering

Q58

NAT[2 Marks]

One-way single lane road 30% trucks (speed uniform 30-60), 70% cars (speed uniform 40-80). Speed limit 50 km/h. Percentage exceeding speed limit is

Explanation

GATE→2025→Transportation Engineering→Highway Pavements

Q59

NAT[2 Marks]

Compacted bituminous specimen mass in air 1260 g, volume 525 cm^3, water density 1 g/cm^3. Max theoretical specific gravity 2.510. Air voids % is

Explanation

Geomatics Engineering

3 Questions

GATE→2025→Geomatics Engineering→Principles of Surveying & Cartography

Q60

MCQ[1 Mark]

If the horizontal distance between a staff point and point of observation is $d$, the error due to curvature of earth is proportional to

(A)

d

(B)

1/d

(C)

d^2

(D)

1/d^2

Explanation

GATE→2025→Geomatics Engineering→Principles of Surveying & Cartography

Q61

MCQ[1 Mark]

If the quadrantal bearing of a line is $N 30^{\circ} W$, then the whole circle bearing of the line is

(A)

120°

(B)

210°

(C)

300°

(D)

330°

Explanation

GATE→2025→Geomatics Engineering→Principles of Surveying & Cartography

Q62

NAT[2 Marks]

Reciprocal levelling between A and B on opposite banks. If RL of A is 150.000 m, RL of B is

Explanation

Construction Materials and Management

3 Questions

GATE→2025→Construction Materials and Management→Construction Materials

Q63

MCQ[1 Mark]

Identify the FALSE statement from the following options regarding concrete compressive strength:

(A)

Compressive strength varies depending on shape and size of specimen.

(B)

Air-dried and saturated test specimens show the same compressive strength for concrete.

(C)

Curing conditions such as temperature and humidity influence strength.

(D)

Compressive strength depends on water-to-binder ratio.

Explanation

GATE→2025→Construction Materials and Management→Construction Materials

Q64

NAT[1 Mark]

If weights retained on 2.36 mm, 1.18 mm, $600\,\mu\text{m}$, and $300\,\mu\text{m}$ sieves are 30%, 35%, 15%, and 20%, the fineness modulus is

Explanation

GATE→2025→Construction Materials and Management→Construction Management

Q65

MSQ[2 Marks]

In the context of construction project management, which of the following statements is/are true:

(A)

A dummy activity will consume time and resources

(B)

PERT is best suited for projects with large uncertainties in activity durations

(C)

Gantt chart is commonly used for identifying critical path

(D)

Free float is time activity start can be delayed without delaying following activity

Explanation