Back to Years

Type:ALLMCQNATMSQ

General Aptitude(10)Engineering Mathematics(9)Structural Engineering(11)Geotechnical Engineering(9)Water Resources Engineering(7)Environmental Engineering(8)Transportation Engineering(4)Geomatics Engineering(3)Construction Materials and Management(2)

General Aptitude

10 Questions

GATE→2023→General Aptitude→Verbal Ability

Q1

MCQ[1 Mark]

"I have not yet decided what I will do this evening; I ___ visit a friend."

(A)

mite

(B)

would

(C)

might

(D)

didn't

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q2

MCQ[1 Mark]

Eject : Insert :: Advance : ___ (By word meaning)

(A)

Advent

(B)

Progress

(C)

Retreat

(D)

Loan

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q3

MCQ[1 Mark]

In the given figure, PQRSTV is a regular hexagon with each side of length 5 cm. A circle is drawn with its centre at V passing through P. What is the area (in $\text{cm}^2$) of the shaded region?

(A)

25\pi/3

(B)

20\pi/3

(C)

6\pi

(D)

7\pi

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q4

MCQ[1 Mark]

A duck named Donald Duck says "All ducks always lie." Based on this, which statement can be logically inferred with certainty?

(A)

Donald Duck always lies

(B)

Donald Duck always tells the truth

(C)

Donald Duck's statement is true

(D)

Donald Duck's statement is false

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q5

MCQ[1 Mark]

Minimum number of boxes that must be colored black to achieve two lines of symmetry in the given grid structure.

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q6

MCQ[2 Marks]

Based only on the truth of 'Some humans are intelligent', which option can be logically inferred with certainty?

(A)

No human is intelligent

(B)

All humans are intelligent

(C)

Some non-humans are intelligent

(D)

Some intelligent beings are humans

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

Which option can be inferred about the mean, median, and mode for the given symmetric probability distribution P(x)?

(A)

mean = median = mode

(B)

mean < median < mode

(C)

mean > median = mode

(D)

mean < mode = median

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q8

MCQ[2 Marks]

Based on the passage about the James Webb telescope and dark matter, which statement is FALSE?

(A)

No other telescope has captured images of stars older than those captured by James Webb

(B)

People other than astrophysicists may also believe in dark matter

(C)

James Webb telescope could be of use in research on dark matter

(D)

If dark matter was known to interact via strong-interaction, epithet dark would be justified

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q9

MCQ[2 Marks]

Let $a = 30!$, $b = 50!$, and $c = 100!$. Which inequality for logarithmic values is CORRECT?

(A)

log_c a < log_b a < log_a b < log_a c

(B)

log_c a < log_a b < log_b a < log_b c

(C)

log_c a < log_b a < log_a c < log_a b

(D)

log_b a < log_c a < log_a b < log_a c

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q10

MCQ[2 Marks]

A square of side 4 cm with a top semi-circle and two bottom circular arcs of radius 2 cm. The area of the shaded region is

(A)

8

(B)

4

(C)

12

(D)

10

Explanation

Engineering Mathematics

9 Questions

GATE→2023→Engineering Mathematics→Calculus

Q11

MCQ[1 Mark]

For the integral $I = \int_{-1}^{1} \frac{1}{x^2} dx$, which of the following statements is TRUE?

(A)

I = 0

(B)

I = 2

(C)

I = -2

(D)

The integral does not converge

Explanation

GATE→2023→Engineering Mathematics→Linear Algebra

Q12

MSQ[1 Mark]

If $M$ is an arbitrary real $n \times n$ matrix, which of the following matrices will have non-negative eigenvalues?

(A)

M^2

(B)

MM^T

(C)

M^T M

(D)

(M^T)^2

Explanation

GATE→2023→Engineering Mathematics→Partial Differential Equations (PDE)

Q13

MSQ[1 Mark]

For the function $f(x) = px^4 + qx^5$ expressed in Fourier series over $[-L, L]$, which options are true:

(A)

a_n depend on p

(B)

a_n depend on q

(C)

b_n depend on p

(D)

b_n depend on q

Explanation

GATE→2023→Engineering Mathematics→Probability and Statistics

Q14

NAT[1 Mark]

Probabilities of independent events A and B are 0.5 and 0.8. Probability of occurrence of at least A or B is

Explanation

GATE→2023→Engineering Mathematics→Ordinary Differential Equations (ODE)

Q15

NAT[1 Mark]

In differential equation $\frac{dy}{dx} + \alpha x y = 0$ with $\alpha > 0$, $y=1.0$ at $x=0$, and $y=0.8$ at $x=1.0$, the value of $\alpha$ is

Explanation

GATE→2023→Engineering Mathematics→Numerical Methods

Q16

MCQ[2 Marks]

A smooth and convex-shaped function $f(x)$ integrated numerically using trapezoidal rule. The numerical area obtained will be

(A)

less than actual

(B)

more than actual

(C)

exactly equal to actual

(D)

cannot be obtained

Explanation

GATE→2023→Engineering Mathematics→Linear Algebra

Q17

MSQ[2 Marks]

For the matrix $A = \begin{bmatrix} 1 & 2 & 3 \\ 3 & 2 & 1 \\ 3 & 1 & 2 \end{bmatrix}$, which of the following statements is/are TRUE?

(A)

Eigenvalues of A^T are same as A

(B)

Eigenvalues of A^-1 are reciprocals of A

(C)

Eigenvectors of A^T are same as A

(D)

Eigenvectors of A^-1 are same as A

Explanation

GATE→2023→Engineering Mathematics→Calculus

Q18

MSQ[2 Marks]

For the function $f(x) = e^x |\sin x|; x \in \mathbb{R}$, which of the following statements is/are TRUE?

(A)

Function is continuous at all x

(B)

Function is differentiable at all x

(C)

Function is periodic

(D)

Function is bounded

Explanation

GATE→2023→Engineering Mathematics→Ordinary Differential Equations (ODE)

Q19

NAT[2 Marks]

ODE solved by backward difference scheme. Given $u_{n-1} = 1.75$, $t = 3.14$ s, $\Delta t = 0.01$ s. The value of $(u_n - u_{n-1})$ is

Explanation

Structural Engineering

11 Questions

GATE→2023→Structural Engineering→Solid Mechanics

Q20

MCQ[1 Mark]

A hanger made of two square cross-section bars loaded by three point loads. Maximum tensile stress (in $\text{N/mm}^2$) without stress concentration is

(A)

15.0

(B)

25.0

(C)

35.0

(D)

45.0

Explanation

GATE→2023→Structural Engineering→Concrete Structures

Q21

MCQ[1 Mark]

A singly reinforced concrete beam of balanced section (M20, Fe415). Maximum compressive strain in concrete and tensile strain in bars at ultimate state per IS 456:2000 are

(A)

0.0035 and 0.0038

(B)

0.0020 and 0.0018

(C)

0.0035 and 0.0041

(D)

0.0020 and 0.0031

Explanation

GATE→2023→Structural Engineering→Structural Analysis

Q22

MSQ[1 Mark]

Consider the three structures (Structure I, II, III). Which of the following statements is/are TRUE?

(A)

Structure I is unstable

(B)

Structure II is unstable

(C)

Structure III is unstable

(D)

All three structures are stable

Explanation

GATE→2023→Structural Engineering→Steel Structures

Q23

NAT[1 Mark]

Fillet-welded lap joint with effective length, weld size 8 mm, permissible stress 120 MPa. Safe load P (in kN) is

Explanation

GATE→2023→Structural Engineering→Concrete Structures

Q24

MCQ[2 Marks]

Doubly reinforced RCC beam with Fe250 or Fe500 compression steel. As per IS 456:2000, in which type(s) of bars can compression stress reach design strength ($0.87f_y$)?

(A)

Fe250 plain bars only

(B)

Fe500 deformed bars only

(C)

Both Fe250 and Fe500

(D)

Neither Fe250 nor Fe500

Explanation

GATE→2023→Structural Engineering→Steel Structures

Q25

MCQ[2 Marks]

Consider horizontal axis passing through centroid of the steel beam cross-section shown. What is the shape factor (rounded off to one decimal place)?

(A)

1.5

(B)

1.7

(C)

1.3

(D)

2.0

Explanation

GATE→2023→Structural Engineering→Structural Analysis

Q26

MCQ[2 Marks]

Pin-jointed truss with vertical load P at T. Vertical deflection of joint T is given as $k \frac{PL}{AE}$. The value of $k$ is

(A)

1.5

(B)

4.5

(C)

3.0

(D)

9.0

Explanation

GATE→2023→Structural Engineering→Structural Analysis

Q27

MSQ[2 Marks]

Consider the simply supported beam subjected to external moments $M$ at one-third spans. Which statements are TRUE?

(A)

Support reactions are zero

(B)

Shear force is zero everywhere

(C)

Bending moment is zero everywhere

(D)

Deflection is zero everywhere

Explanation

GATE→2023→Structural Engineering→Solid Mechanics

Q28

NAT[2 Marks]

Infinitesimal stress element shown with given normal and shear stresses. Magnitude of maximum principal stress (in $\text{N/mm}^2$) is

Explanation

GATE→2023→Structural Engineering→Structural Analysis

Q29

NAT[2 Marks]

Idealized bridge truss loaded with 20 kN point loads at top chord joints. Force in member $U_2L_3$ (in kN) is

Explanation

GATE→2023→Structural Engineering→Solid Mechanics

Q30

NAT[2 Marks]

Cross-section of girder symmetric about Y-Y axis. Moment of inertia about horizontal centroidal axis X-X (in $\text{cm}^4$) is

Explanation

Geotechnical Engineering

9 Questions

GATE→2023→Geotechnical Engineering→Soil Properties, Classification & Seepage

Q31

MCQ[1 Mark]

Specific gravity of soil is 2.60. Soil is at 50% degree of saturation with water content 15%. Void ratio is

(A)

0.35

(B)

0.78

(C)

0.87

(D)

1.28

Explanation

GATE→2023→Geotechnical Engineering→Sub-surface Investigations, Earth Pressure & Slope Stability

Q32

MCQ[1 Mark]

Potential slope failure with samples from locations I, II, and III. Appropriate shear strength tests (Triaxial compression, extension, direct shear, vane shear):

(A)

I-Q, II-R, III-P

(B)

I-R, II-P, III-Q

(C)

I-S, II-Q, III-R

(D)

I-P, II-R, III-Q

Explanation

GATE→2023→Geotechnical Engineering→Compaction, Consolidation & Shear Strength

Q33

NAT[1 Mark]

A drained direct shear test on sandy soil failed at shear stress 35 kPa under normal stress 50 kPa. Angle of internal friction (in degrees) is

Explanation

GATE→2023→Geotechnical Engineering→Compaction, Consolidation & Shear Strength

Q34

MCQ[2 Marks]

With reference to the compaction test conducted on soils, which of the following is INCORRECT?

(A)

Peak point gives maximum dry unit weight and optimum moisture content

(B)

With increase in compaction effort, max dry unit weight increases

(C)

With increase in compaction effort, optimum moisture content decreases

(D)

Compaction curve crosses the zero-air-voids curve

Explanation

GATE→2023→Geotechnical Engineering→Soil Properties, Classification & Seepage

Q35

MCQ[2 Marks]

Boussinesq vertical stress formula given. At any given $r$, the locus of maximum vertical stress $\sigma_z$ along depth $z$ is

(A)

z^2 = (3/2) r^2

(B)

z^3 = (3/2) r^2

(C)

z^2 = (5/2) r^2

(D)

z^3 = (5/2) r^2

Explanation

GATE→2023→Geotechnical Engineering→Shallow & Deep Foundations

Q36

MCQ[2 Marks]

Square footing ($2.5\text{ m} \times 2.5\text{ m}$) net ultimate bearing capacity is 1706 kPa. Plate load test with 30 cm circular plate in same soil. Ultimate bearing capacity (in kPa) of plate is

(A)

110.16

(B)

61.20

(C)

204.00

(D)

163.20

Explanation

GATE→2023→Geotechnical Engineering→Sub-surface Investigations, Earth Pressure & Slope Stability

Q37

NAT[2 Marks]

Soil bulk unit weight $19\text{ kN/m}^3$, $\phi = 25^{\circ}$, $c = 15$ kPa on a rock slope at $35^{\circ}$ inclination. Critical height (in m) of soil formation for stability is

Explanation

GATE→2023→Geotechnical Engineering→Sub-surface Investigations, Earth Pressure & Slope Stability

Q38

NAT[2 Marks]

Smooth vertical retaining wall supporting layered soils with surcharge $q = 20$ kPa. Layer 1 (3m, $18\text{ kN/m}^3$, $32^{\circ}$), Layer 2 (4m, $19\text{ kN/m}^3$, $25^{\circ}$, $c=20$ kPa). Rankine active earth pressure at base (in kPa) is

Explanation

GATE→2023→Geotechnical Engineering→Sub-surface Investigations, Earth Pressure & Slope Stability

Q39

NAT[2 Marks]

Vertical trench in clay deposit with 30 kPa surcharge, undrained cohesion 20 kPa, sat unit weight $18\text{ kN/m}^3$. Fluid of unit weight $12\text{ kN/m}^3$ poured in trench. Max depth of unsupported excavation (in m) is

Explanation

Water Resources Engineering

7 Questions

GATE→2023→Water Resources Engineering→Hydraulics

Q40

MCQ[1 Mark]

When a supercritical stream enters a mild-sloped (M) channel section, the type of flow profile would become

(A)

M1

(B)

M2

(C)

M3

(D)

M1 and M2

Explanation

GATE→2023→Water Resources Engineering→Irrigation

Q41

NAT[1 Mark]

Canal supplies 100 hectares over 120 days (35 cm depth). Most intense watering over 30 days requires 12 cm depth. Minimum canal discharge (in $\text{m}^3/\text{s}$) is

Explanation

GATE→2023→Water Resources Engineering→Hydrology

Q42

NAT[1 Mark]

One-hour unit hydrograph ordinates given. D-hour UH derived with ordinates $3\text{ m}^3/\text{s}$ at $t=1$ h and $10\text{ m}^3/\text{s}$ at $t=2$ h. Value of D is

Explanation

GATE→2023→Water Resources Engineering→Hydraulics

Q43

MCQ[2 Marks]

Wide rectangular channel ($q = 70\text{ m}^3/\text{s/m}$) bed slope changes from 0.0001 (mild) to 0.0009 (steep) at point P. Water surface profile(s) near point P:

(A)

M2 and S2

(B)

M2 only

(C)

S2 only

(D)

S2 and hydraulic jump

Explanation

GATE→2023→Water Resources Engineering→Hydraulics

Q44

MCQ[2 Marks]

A water jet of velocity $20\text{ m/s}$ strikes radial plates revolving at $15\text{ m/s}$ in same direction. Percentage efficiency of plates is

(A)

37.5

(B)

66.7

(C)

50.0

(D)

88.9

Explanation

GATE→2023→Water Resources Engineering→Hydraulics

Q45

NAT[2 Marks]

Hydraulic jump in 1.0 m wide horizontal rectangular channel, pre-jump depth 0.2 m, post-jump depth 1.0 m ($g = 10\text{ m/s}^2$). Specific force at pre/post-jump sections (in $\text{m}^3$) is

Explanation

GATE→2023→Water Resources Engineering→Hydrology

Q46

NAT[2 Marks]

Horton's equation parameters: initial capacity $10\text{ mm/h}$, final $5\text{ mm/h}$, decay constant $0.5/\text{h}$. Total infiltration depth (in mm) from a 12h storm is

Explanation

Environmental Engineering

8 Questions

GATE→2023→Environmental Engineering→Air Pollution

Q47

MCQ[1 Mark]

Which one of the following statements is TRUE for Greenhouse Gas (GHG) in the atmosphere?

(A)

Absorbs incoming short wavelength solar radiation, allows outgoing long wavelength

(B)

Allows incoming long wavelength, absorbs short wavelength

(C)

Allows both incoming long wavelength and outgoing short wavelength

(D)

Allows incoming short wavelength solar radiation, absorbs long wavelength radiation from earth

Explanation

GATE→2023→Environmental Engineering→Water and Wastewater Quality and Treatment

Q48

MSQ[1 Mark]

Identify the waterborne diseases caused by viral pathogens:

(A)

Acute anterior poliomyelitis

(B)

Cholera

(C)

Infectious hepatitis

(D)

Typhoid fever

Explanation

GATE→2023→Environmental Engineering→Municipal Solid Wastes

Q49

MSQ[1 Mark]

Which of the following statements is/are TRUE for Refuse-Derived Fuel (RDF) in Municipal Solid Waste management?

(A)

HHV of unprocessed MSW is higher than HHV of RDF

(B)

RDF can be made in powdered form

(C)

Inorganic fraction of MSW is mostly converted to RDF

(D)

RDF cannot be used in conjunction with oil

Explanation

GATE→2023→Environmental Engineering→Water and Wastewater Quality and Treatment

Q50

MCQ[2 Marks]

Match Column 1 (P: Reverse Osmosis, Q: Trickling Filter, R: Coagulation, S: Adsorption) with Column 2 (I: Ponding, II: Freundlich Isotherm, III: Concentration Polarization, IV: Charge Neutralization).

(A)

P-II, Q-I, S-III

(B)

P-III, R-II, S-IV

(C)

P-IV, R-I, S-II

(D)

P-III, Q-I, R-IV

Explanation

GATE→2023→Environmental Engineering→Air Pollution

Q51

MSQ[2 Marks]

Which of the following statements is/are TRUE in relation to the Maximum Mixing Depth (or Height) $D_{\max}$ in the atmosphere?

(A)

D_max is always equal to height of unstable air layer

(B)

Ventilation coefficient depends on D_max

(C)

Smaller D_max will have smaller air pollution potential if meteorological conditions remain same

(D)

Vertical dispersion of pollutants occurs up to D_max

Explanation

GATE→2023→Environmental Engineering→Municipal Solid Wastes

Q52

NAT[2 Marks]

Solid waste composition table given with as-discarded energy contents. If moisture content is 26%, energy content on dry-weight basis (in MJ/kg) is

Explanation

GATE→2023→Environmental Engineering→Water and Wastewater Quality and Treatment

Q53

NAT[2 Marks]

Flocculator tank volume $2800\text{ m}^3$, temp $15^{\circ}\text{C}$, $G = 100/\text{s}$. Temperature reduced to $5^{\circ}\text{C}$ with constant power input. Decrease in velocity gradient (%) is

Explanation

GATE→2023→Environmental Engineering→Water and Wastewater Quality and Treatment

Q54

NAT[2 Marks]

Activated sludge plant inflow $0.5\text{ m}^3/\text{s}$, F/M ratio $0.2\text{ day}^{-1}$, influent BOD $150\text{ mg/L}$, MLVSS $2000\text{ mg/L}$. Volume of aeration tank (in $\text{m}^3$) is

Explanation

Transportation Engineering

4 Questions

GATE→2023→Transportation Engineering→Transportation Infrastructure

Q55

MCQ[1 Mark]

Approach and departure grades $G_1, G_2$. Statement analysis for sag and crest vertical curves.

(A)

Statement 1 and 3 correct, Statement 2 wrong

(B)

Statement 1 and 2 correct, Statement 3 wrong

(C)

Statement 1 correct, Statement 2 and 3 wrong

(D)

Statement 2 correct, Statement 1 and 3 wrong

Explanation

GATE→2023→Transportation Engineering→Transportation Infrastructure

Q56

NAT[1 Mark]

Horizontal curve radius 300 m, design speed 15 m/s. Allowable jerk $0.75\text{ m/s}^3$. Minimum length of transition curve (in m) is

Explanation

GATE→2023→Transportation Engineering→Traffic Engineering

Q57

MCQ[2 Marks]

Speed-density relationships for Road A and Road B. If capacities are $C_A$ and $C_B$, the ratio $\frac{C_A}{C_B}$ is

(A)

k_A / k_B

(B)

u_A / u_B

(C)

k_A u_A / k_B u_B

(D)

k_A u_B / k_B u_A

Explanation

GATE→2023→Transportation Engineering→Highway Pavements

Q58

MSQ[2 Marks]

Match test reporting conventions (P: Reported as ratio, Q: Reported as percentage, R: Reported in temperature, S: Reported in length) with material tests.

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

Geomatics Engineering

3 Questions

GATE→2023→Geomatics Engineering→Principles of Surveying & Cartography

Q59

MCQ[1 Mark]

Direct and reversed zenith angles observed by theodolite are $56^{\circ}00'00''$ and $303^{\circ}00'00''$. Vertical collimation correction is

(A)

+1°00'00''

(B)

-1°00'00''

(C)

-0°30'00''

(D)

+0°30'00''

Explanation

GATE→2023→Geomatics Engineering→Principles of Surveying & Cartography

Q60

MCQ[1 Mark]

A student scans a $10 \times 10$ inch certificate at 600 dpi. Percentage reduction in number of pixels when scanned at 300 dpi is

(A)

62

(B)

88

(C)

75

(D)

50

Explanation

GATE→2023→Geomatics Engineering→Principles of Surveying & Cartography

Q61

NAT[2 Marks]

Trigonometric leveling from stations P and Q to top of hillock. Distance PQ = 55 m. RL of top of hillock (in m) is

Explanation

Construction Materials and Management

2 Questions

GATE→2023→Construction Materials and Management→Construction Materials

Q62

MCQ[1 Mark]

Creep of concrete under compression is defined as the

(A)

increase in magnitude of strain under constant stress

(B)

increase in magnitude of stress under constant strain

(C)

decrease in magnitude of strain under constant stress

(D)

decrease in magnitude of stress under constant strain

Explanation

GATE→2023→Construction Materials and Management→Construction Materials

Q63

MCQ[1 Mark]

In cement concrete mix design, with the increase in water-cement ratio, which one of the following statements is TRUE?

(A)

Compressive strength decreases but workability increases

(B)

Compressive strength increases but workability decreases

(C)

Both compressive strength and workability decrease

(D)

Both compressive strength and workability increase

Explanation