Back to Years

Type:ALLMCQNATMSQ

General Aptitude(9)Engineering Mathematics(9)Structural Engineering(10)Geotechnical Engineering(10)Water Resources Engineering(6)Environmental Engineering(8)Transportation Engineering(6)Geomatics Engineering(3)Construction Materials and Management(2)

General Aptitude

9 Questions

GATE→2022→General Aptitude→Verbal Ability

Q1

MCQ[1 Mark]

You should ___ when to say ___.

(A)

no/no

(B)

no/know

(C)

know/know

(D)

know/no

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q2

MCQ[1 Mark]

Two straight lines pass through the origin $(0,0)$. One of them passes through $(1,3)$ and the other through $(1,2)$. What is the area enclosed between the straight lines in the interval $[0, 1]$ on the x-axis?

(A)

0.5

(B)

1.0

(C)

1.5

(D)

2.0

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q3

MCQ[1 Mark]

If $p:q = 1:2$, $q:r = 4:3$, $r:s = 4:5$ and $u$ is 50% more than $s$, what is the ratio $p:u$?

(A)

2:15

(B)

16:15

(C)

1:5

(D)

16:45

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q4

MCQ[1 Mark]

Based on the given family relations, T is ___ of S.

(A)

the grandfather

(B)

an uncle

(C)

the father

(D)

a brother

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q5

MCQ[1 Mark]

Relation among the areas of the squares PXWR, RUVZ and SPQT based on the tangential properties of the circle with center R.

(A)

Area of SPQT = Area of RUVZ = Area of PXWR

(B)

Area of SPQT = Area of PXWR - Area of RUVZ

(C)

Area of PXWR = Area of SPQT - Area of RUVZ

(D)

Area of PXWR = Area of RUVZ - Area of SPQT

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q6

MCQ[2 Marks]

Which one of the following is the CORRECT logical inference based on the information in the passage?

(A)

Healthy eating is important for those with good health conditions, but not others

(B)

Eating healthy can be started at any age, earlier the better

(C)

Eating healthy and better overall health are more correlated at a young age

(D)

Healthy eating is more important for adults than kids

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

P invested 5000 per month for 6 months and Q invested $x$ per month for 8 months. If Q receives $4/9$ of total profit, what is the value of $x$?

(A)

2500

(B)

3000

(C)

4687

(D)

8437

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q8

MCQ[2 Marks]

From the frequency distribution chart of student marks, which one of the following is CORRECT?

(A)

mean > mode > median

(B)

mode > median > mean

(C)

mode > mean > median

(D)

median > mode > mean

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q9

MCQ[2 Marks]

Grid movement path puzzle from P2 to P5 following knight-like step constraints without occupying shaded squares. Minimum steps required is

(A)

4

(B)

5

(C)

6

(D)

7

Explanation

Engineering Mathematics

9 Questions

GATE→2022→Engineering Mathematics→Partial Differential Equations (PDE)

Q10

MCQ[1 Mark]

Consider the expression $z = \sin(y + it) + \cos(y - it)$ where $i = \sqrt{-1}$. The partial differential equation derived from this expression is

(A)

\frac{\partial^2 z}{\partial t^2} + \frac{\partial^2 z}{\partial y^2} = 0

(B)

\frac{\partial^2 z}{\partial t^2} - \frac{\partial^2 z}{\partial y^2} = 0

(C)

\frac{\partial z}{\partial t} - i \frac{\partial z}{\partial y} = 0

(D)

\frac{\partial z}{\partial t} + i \frac{\partial z}{\partial y} = 0

Explanation

GATE→2022→Engineering Mathematics→Ordinary Differential Equations (ODE)

Q11

MCQ[1 Mark]

For the equation $\frac{d^3 y}{dx^3} + x \left(\frac{dy}{dx}\right)^{3/2} + x^2 y = 0$, the correct description is

(A)

ordinary differential equation of order 3 and degree 2

(B)

ordinary differential equation of order 3 and degree 3

(C)

ordinary differential equation of order 2 and degree 3

(D)

ordinary differential equation of order 3 and degree 3/2

Explanation

GATE→2022→Engineering Mathematics→Linear Algebra

Q12

MSQ[1 Mark]

Matrix M has eigenvalues 5 and 2. Form $Q = M^3 - 4M^2 - 2M$. Which of the following is/are eigenvalue(s) of Q?

(A)

15

(B)

25

(C)

-20

(D)

-30

Explanation

GATE→2022→Engineering Mathematics→Numerical Methods

Q13

NAT[1 Mark]

Recursive Newton-Raphson iteration for square root with initial guess $x_1=1$ and $P=10$. The numerical value of $x_5$ is

Explanation

GATE→2022→Engineering Mathematics→Partial Differential Equations (PDE)

Q14

NAT[1 Mark]

For $f(x) = \cos^4 x$ expressed as Fourier cosine series $\sum f_n \cos nx$, numerical value of $(f_4 + f_5)$ is

Explanation

GATE→2022→Engineering Mathematics→Linear Algebra

Q15

MCQ[2 Marks]

Cartesian coordinates of point P are $(1,1,1)$. Transformed coordinates due to $45^{\circ}$ clockwise rotation about positive x-axis are

(A)

(1, 0, \sqrt{2})

(B)

(1, 0, -\sqrt{2})

(C)

(-1, 0, \sqrt{2})

(D)

(-1, 0, -\sqrt{2})

Explanation

GATE→2022→Engineering Mathematics→Calculus

Q16

MSQ[2 Marks]

For the function $f(x) = \max\{3-x, x-1\}$, which statement(s) is/are TRUE?

(A)

It is continuous on its domain

(B)

It has a local minimum at x=2

(C)

It has a local maximum at x=2

(D)

It is differentiable on its domain

Explanation

GATE→2022→Engineering Mathematics→Numerical Methods

Q17

NAT[2 Marks]

Differential equation $\frac{dy}{dx} = 4(x+2) - y$ with $y=3$ at $x=1$. Value of $y$ at $x=1.4$ using Euler's method with step-size $h=0.2$ is

Explanation

GATE→2022→Engineering Mathematics→Probability and Statistics

Q18

NAT[2 Marks]

Linear regression model $y = a + bx$ has intercept $a = 6.1$ for given $(x, y)$ data points. Coefficient $b$ is

Explanation

Structural Engineering

10 Questions

GATE→2022→Structural Engineering→Solid Mechanics

Q19

MCQ[1 Mark]

The hoop stress at a point on the surface of a thin cylindrical pressure vessel is 30.0 MPa. The value of maximum shear stress at this point is

(A)

7.5 MPa

(B)

15.0 MPa

(C)

30.0 MPa

(D)

22.5 MPa

Explanation

GATE→2022→Structural Engineering→Concrete Structures

Q20

MCQ[1 Mark]

In the context of elastic theory of reinforced concrete, the modular ratio is defined as the ratio of

(A)

Young's modulus of reinforcement to Young's modulus of concrete

(B)

Young's modulus of concrete to Young's modulus of reinforcement

(C)

Shear modulus of reinforcement to shear modulus of concrete

(D)

Young's modulus of reinforcement to shear modulus of concrete

Explanation

GATE→2022→Structural Engineering→Solid Mechanics

Q21

MCQ[1 Mark]

Consider the cross-section of a beam made up of thin uniform elements. The coordinates of the shear center of this cross-section are:

(A)

x=0, y=3a

(B)

x=2a, y=2a

(C)

x=-a, y=2a

(D)

x=-2a, y=a

Explanation

GATE→2022→Structural Engineering→Solid Mechanics

Q22

MCQ[2 Marks]

Semi-circular bar of radius R fixed at G with horizontal load P at H. Magnitude of axial force, shear force, and bending moment at Q ($\theta = 45^{\circ}$) are

(A)

P/\sqrt{2} kN, P/\sqrt{2} kN, PR/\sqrt{2} kN-m

(B)

P/\sqrt{2} kN, P/\sqrt{2} kN, 0 kN-m

(C)

0 kN, P/\sqrt{2} kN, PR/\sqrt{2} kN-m

(D)

P/\sqrt{2} kN, 0 kN, PR/\sqrt{2} kN-m

Explanation

GATE→2022→Structural Engineering→Steel Structures

Q23

MCQ[2 Marks]

Fillet weld lengths $L_1$ and $L_2$ required for joining angle section ISA $100 \times 100 \times 10$ to gusset plate to transmit full member strength.

(A)

541 mm and 214 mm

(B)

214 mm and 541 mm

(C)

380 mm and 151 mm

(D)

151 mm and 380 mm

Explanation

GATE→2022→Structural Engineering→Engineering Mechanics

Q24

MSQ[2 Marks]

A horizontal force $P$ applied to a homogeneous body of weight 25 kN with friction coefficient 0.3. Which statement(s) is/are correct?

(A)

Motion will occur by overturning

(B)

Sliding of body never occurs

(C)

No motion occurs for P <= 6 kN

(D)

Motion will occur by sliding only

Explanation

GATE→2022→Structural Engineering→Structural Analysis

Q25

NAT[2 Marks]

Plane truss subjected to $P = 70$ kN ($a=2$ m, $b=3$ m). Magnitude of force in member EF (in kN) is

Explanation

GATE→2022→Structural Engineering→Structural Analysis

Q26

NAT[2 Marks]

Plane frame with fixed supports at H, K, G. Counter-clockwise moment M at F. Support moment at H is 10 kN-m. Magnitude of applied moment M (in kN-m) is

Explanation

GATE→2022→Structural Engineering→Structural Analysis

Q27

NAT[2 Marks]

Simply supported beam PQ. Truck with 100 kN and 200 kN axles (spacing 3 m) moves across. Maximum bending moment at point R (in kN-m) is

Explanation

GATE→2022→Structural Engineering→Concrete Structures

Q28

NAT[2 Marks]

RCC beam ($300 \times 580$ mm), M30 concrete, 1% tension steel (Fe415). Design shear strength = $0.66\text{ N/mm}^2$. Factored shear force = 440 kN. Spacing of 2-legged 10 mm stirrups (Fe415) is

Explanation

Geotechnical Engineering

10 Questions

GATE→2022→Geotechnical Engineering→Soil Properties, Classification & Seepage

Q29

MCQ[1 Mark]

Four soils classified as CH, ML, SP, SW per USCS. Which option correctly represents decreasing order of hydraulic conductivity?

(A)

SW, SP, ML, CH

(B)

CH, ML, SP, SW

(C)

SP, SW, CH, ML

(D)

ML, SP, CH, SW

Explanation

GATE→2022→Geotechnical Engineering→Sub-surface Investigations, Earth Pressure & Slope Stability

Q30

MCQ[1 Mark]

Condition to be satisfied for soil element to reach failure under Rankine's passive earth pressure condition:

(A)

sigma_v' < sigma_h'

(B)

sigma_v' > sigma_h'

(C)

sigma_v' = sigma_h'

(D)

sigma_v' + sigma_h' = 0

Explanation

GATE→2022→Geotechnical Engineering→Soil Properties, Classification & Seepage

Q31

MCQ[1 Mark]

Let $\psi$ represent soil suction head and $K$ hydraulic conductivity. If soil moisture content increases, which statement is TRUE?

(A)

\psi decreases and K increases

(B)

\psi increases and K decreases

(C)

Both \psi and K decrease

(D)

Both \psi and K increase

Explanation

GATE→2022→Geotechnical Engineering→Soil Properties, Classification & Seepage

Q32

NAT[1 Mark]

An uncompacted soil heap has volume $10000\text{ m}^3$ and void ratio $1$. If compacted to $7500\text{ m}^3$, the corresponding void ratio is

Explanation

GATE→2022→Geotechnical Engineering→Soil Properties, Classification & Seepage

Q33

NAT[1 Mark]

Concentrated vertical load 3000 kN on ground surface. Points P and Q at depths 1 m and 2 m along load line. Ratio of vertical stress increase at P to Q is

Explanation

GATE→2022→Geotechnical Engineering→Sub-surface Investigations, Earth Pressure & Slope Stability

Q34

NAT[1 Mark]

Static Cone Penetration Test tip resistance $q_c = 1000$ kPa, friction ratio $f_r = 1\%$. Sleeve (side) friction (in kPa) is

Explanation

GATE→2022→Geotechnical Engineering→Compaction, Consolidation & Shear Strength

Q35

MCQ[2 Marks]

Match Group I (1. normally consolidated soil, 2. quick clay, 3. sand in critical state, 4. clay of high plasticity) with Group II conditions.

(A)

1-S, 2-P, 3-Q, 4-R

(B)

1-Q, 2-S, 3-P, 4-R

(C)

1-Q, 2-P, 3-R, 4-S

(D)

1-S, 2-Q, 3-P, 4-R

Explanation

GATE→2022→Geotechnical Engineering→Sub-surface Investigations, Earth Pressure & Slope Stability

Q36

MCQ[2 Marks]

Rankine's earth pressure theory failure plane inclination statement is correct for:

(A)

Only active state and not passive state

(B)

Only passive state and not active state

(C)

Both active as well as passive states

(D)

Neither active nor passive state

Explanation

GATE→2022→Geotechnical Engineering→Shallow & Deep Foundations

Q37

NAT[2 Marks]

Square concrete pile of length 10 m in clay ($qu = 100$ kPa). Ultimate load capacity is 632 kN ($N_c = 9, \alpha = 0.7$). Required width of pile (in mm) is

Explanation

GATE→2022→Geotechnical Engineering→Compaction, Consolidation & Shear Strength

Q38

NAT[2 Marks]

Saturated clay layer sandwiched between sand layers. Initial effective stress 150 kPa, pore pressure 25 kPa. Additional stress 100 kPa. When vertical effective stress is 175 kPa, percentage consolidation is

Explanation

Water Resources Engineering

6 Questions

GATE→2022→Water Resources Engineering→Fluid Mechanics

Q39

MCQ[1 Mark]

Match fluid flow forces in Column X (P: Viscosity, Q: Gravity, R: Compressibility, S: Pressure) with dimensionless numbers in Column Y.

(A)

(P)-(II), (Q)-(IV), (R)-(I), (S)-(III)

(B)

(P)-(III), (Q)-(IV), (R)-(I), (S)-(II)

(C)

(P)-(IV), (Q)-(II), (R)-(I), (S)-(III)

(D)

(P)-(II), (Q)-(IV), (R)-(III), (S)-(I)

Explanation

GATE→2022→Water Resources Engineering→Hydraulics

Q40

MCQ[1 Mark]

Rectangular channel with GVF. If bed slope changes from steeper slope to steep slope, resulting GVF profile is

(A)

S3

(B)

S1

(C)

S2

(D)

either S1 or S2

Explanation

GATE→2022→Water Resources Engineering→Irrigation

Q41

MSQ[2 Marks]

In the context of cross-drainage structures, the correct statement(s) regarding relative positions of natural drain and irrigation canal is/are

(A)

In aqueduct, natural drain goes under canal, in super-passage natural drain goes over canal

(B)

In level crossing, natural drain goes through canal

(C)

In aqueduct, natural drain goes over canal

(D)

In canal syphon, natural drain goes through canal

Explanation

GATE→2022→Water Resources Engineering→Hydrology

Q42

NAT[2 Marks]

Two-hour storm with 3 cm excess rainfall. Streamflow ordinates given. Constant baseflow $10\text{ m}^3/\text{s}$. Peak flow ordinate (in $\text{m}^3/\text{s}$) of 1-hour unit hydrograph is

Explanation

GATE→2022→Water Resources Engineering→Hydraulics

Q43

NAT[2 Marks]

Two reservoirs connected by two parallel pipes of equal length and diameters 20 cm and 10 cm. Water level difference 5 m. Ratio of discharge in larger to smaller pipe is

Explanation

GATE→2022→Water Resources Engineering→Hydraulics

Q44

NAT[2 Marks]

A 3 m wide rectangular channel carries $12\text{ m}^3/\text{s}$ at 2 m depth. Bed width at contraction causing critical flow without changing upstream water level is

Explanation

Environmental Engineering

8 Questions

GATE→2022→Environmental Engineering→Water and Wastewater Quality and Treatment

Q45

MCQ[1 Mark]

Total hardness in raw water is $500\text{ mg/L}$ as $CaCO_3$. Expressed in milligram equivalent per liter (meq/L) is

(A)

10

(B)

100

(C)

1

(D)

5

Explanation

GATE→2022→Environmental Engineering→Water and Wastewater Quality and Treatment

Q46

MSQ[1 Mark]

For wastewater from wood pulping industry, COD and BOD5 determined. Which statement(s) is/are correct?

(A)

COD > BOD5

(B)

COD != BOD5

(C)

COD < BOD5

(D)

COD = BOD5

Explanation

GATE→2022→Environmental Engineering→Water and Wastewater Quality and Treatment

Q47

MSQ[1 Mark]

Which of the following process(es) can be used for conversion of salt water into fresh water?

(A)

Microfiltration

(B)

Electrodialysis

(C)

Ultrafiltration

(D)

Reverse osmosis

Explanation

GATE→2022→Environmental Engineering→Water and Wastewater Quality and Treatment

Q48

MCQ[2 Marks]

Henry's law constant for $O_2$ is $1.3\text{ mmol/(L-atm)}$. Atmospheric partial pressure of $O_2$ is $0.21\text{ atm}$. Dissolved oxygen concentration (in mg/L) is

(A)

8.7

(B)

0.8

(C)

198.1

(D)

0.2

Explanation

GATE→2022→Environmental Engineering→Water and Wastewater Quality and Treatment

Q49

MCQ[2 Marks]

Water sample has $Ca^{2+} = 100\text{ mg/L}$, $Mg^{2+} = 36\text{ mg/L}$, $HCO_3^- = 122\text{ mg/L}$. Total hardness and temporary hardness (in mg/L as $CaCO_3$) are

(A)

400 and 100

(B)

400 and 300

(C)

500 and 100

(D)

800 and 200

Explanation

GATE→2022→Environmental Engineering→Water and Wastewater Quality and Treatment

Q50

NAT[2 Marks]

Wastewater sample has $34\text{ mg } NH_3/\text{L}$ and $6.2\text{ mg } NO_3^-/\text{L}$. Total nitrogen concentration (in mg N/L) is

Explanation

GATE→2022→Environmental Engineering→Water and Wastewater Quality and Treatment

Q51

NAT[2 Marks]

A 2% sewage sample incubated for 3 days at $27^{\circ}\text{C}$ showed 10 mg/L DO depletion. BOD rate constant $k = 0.23\text{ day}^{-1}$ (base e). Ultimate BOD (in mg/L) is

Explanation

GATE→2022→Environmental Engineering→Water and Wastewater Quality and Treatment

Q52

NAT[2 Marks]

Sedimentation basin depth 3 m, width 5 m, length 40 m. Inflow $500\text{ m}^3/\text{h}$. Removal fraction of particles with settling velocity $1.0\text{ m/h}$ is

Explanation

Transportation Engineering

6 Questions

GATE→2022→Transportation Engineering→Transportation Infrastructure

Q53

MSQ[1 Mark]

To design a horizontal curve in limited space, which measure(s) can be used to decrease the radius of curvature?

(A)

Decrease design speed

(B)

Increase superelevation

(C)

Increase design speed

(D)

Restrict vehicles with higher weight

Explanation

GATE→2022→Transportation Engineering→Traffic Engineering

Q54

MCQ[2 Marks]

Consider points P, Q, R, S on Greenshields speed-flow diagram. Correct order of traffic densities $k_P, k_Q, k_R, k_S$ is

(A)

kP > kQ > kR > kS

(B)

kS > kR > kQ > kP

(C)

kQ > kR > kS > kP

(D)

kQ > kR > kP > kS

Explanation

GATE→2022→Transportation Engineering→Traffic Engineering

Q55

NAT[2 Marks]

Two-phase signalized intersection with cycle time 100s, amber 4s, red 50s, lost time 2s per phase. Effective green time of each phase (in seconds) is

Explanation

GATE→2022→Transportation Engineering→Traffic Engineering

Q56

NAT[2 Marks]

Cars and buses arrive at 4 veh/h and 2 veh/h (Poisson processes). Probability of observing at least 2 vehicles in 30 minutes is

Explanation

GATE→2022→Transportation Engineering→Traffic Engineering

Q57

NAT[2 Marks]

Vehicle counts in 10-minute intervals given. Peak hour factor (PHF) for 10-minute sub-interval is

Explanation

GATE→2022→Transportation Engineering→Highway Pavements

Q58

NAT[2 Marks]

Dual-wheel assembly load parameters. Ratio of Equivalent Single Wheel Load (ESWL) at depth $z = d/2$ to ESWL at depth $z = 2s$ is

Explanation

Geomatics Engineering

3 Questions

GATE→2022→Geomatics Engineering→Principles of Surveying & Cartography

Q59

MCQ[1 Mark]

Aerial photograph from flight height 3.5 km above MSL, focal length 152 mm, average ground elevation 460 m above MSL. Scale of photograph is

(A)

1:20000

(B)

1:20

(C)

1:100000

(D)

1:2800

Explanation

GATE→2022→Geomatics Engineering→Principles of Surveying & Cartography

Q60

MCQ[1 Mark]

A line between P and Q laid on slope 1 in 5 measured as 350 m using 50 m tape short by 0.1 m. Corrected horizontal length (in m) is

(A)

342.52

(B)

349.30

(C)

356.20

(D)

350.70

Explanation

GATE→2022→Geomatics Engineering→Principles of Surveying & Cartography

Q61

NAT[1 Mark]

Bearing of survey line is $N 31^{\circ}17' W$. Its azimuth observed from north (in degrees) is

Explanation

Construction Materials and Management

2 Questions

GATE→2022→Construction Materials and Management→Construction Materials

Q62

MCQ[1 Mark]

Which of the following equations is correct for the Pozzolanic reaction?

(A)

Ca(OH)2 + Reactive Superplasticiser + H2O -> C-S-H

(B)

Ca(OH)2 + Reactive Silicon dioxide + H2O -> C-S-H

(C)

Ca(OH)2 - Reactive Sulphates + H2O -> C-S-H

(D)

Ca(OH)2 + Reactive Sulphur + H2O -> C-S-H

Explanation

GATE→2022→Construction Materials and Management→Construction Management

Q63

MCQ[2 Marks]

Project activities table given. Which option correctly states total duration and critical path?

(A)

Total duration = 22 days, Critical path Q -> S

(B)

Total duration = 20 days, Critical path Q -> T

(C)

Total duration = 22 days, Critical path P -> T

(D)

Total duration = 20 days, Critical path P -> R

Explanation