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General Aptitude(10)Engineering Mathematics(9)Applied Mechanics and Structures(8)Fluid Mechanics and Marine Hydrodynamics(10)Naval Architecture and Ocean Engineering(18)Thermodynamics and Marine Engineering(10)

General Aptitude

10 Questions

GATE→2025→General Aptitude→Verbal Ability

Q1

MCQ[1 Mark]

Despite his initial hesitation, Rehman's ______ to contribute to the success of the project never wavered.\nSelect the most appropriate option to complete the above sentence.

(A)

ambivalence

(B)

satisfaction

(C)

resolve

(D)

revolve

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q2

MCQ[1 Mark]

Bird : Nest :: Bee : ______\nSelect the correct option to complete the analogy.

(A)

Kennel

(B)

Hammock

(C)

Hive

(D)

Lair

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q3

MCQ[1 Mark]

If $P e^{x} = Q e^{-x}$ for all real values of x, which one of the following statements is true?

(A)

$P=Q=0$

(B)

$P=Q=1$

(C)

$P=1; Q=-1$

(D)

$\frac{P}{Q}=0$

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q4

MCQ[1 Mark]

The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly represents the cube?\nNote: The figures shown are representative.

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q5

MCQ[1 Mark]

Let $p_1$ and $p_2$ denote two arbitrary prime numbers. Which one of the following statements is correct for all values of $p_1$ and $p_2$?

(A)

$p_1 + p_2$ is not a prime number.

(B)

$p_1 p_2$ is not a prime number.

(C)

$p_1 + p_2 + 1$ is a prime number.

(D)

$p_1 p_2 + 1$ is a prime number.

Explanation

GATE→2025→General Aptitude→Verbal Ability

Q6

MCQ[2 Marks]

Based only on the conversation below, identify the logically correct inference: "Even if I had known that you were in the hospital, I would not have gone there to see you", Ramya told Josephine.

(A)

Ramya knew that Josephine was in the hospital.

(B)

Ramya did not know that Josephine was in the hospital.

(C)

Ramya and Josephine were once close friends; but now, they are not.

(D)

Josephine was in the hospital due to an injury to her leg.

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

If IMAGE and FIELD are coded as FHBNJ and EMFJG respectively then, which one among the given options is the most appropriate code for BEACH ?

(A)

CEADP

(B)

IDBFC

(C)

JGIBC

(D)

IBCEC

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q8

MCQ[2 Marks]

Which one of the following options is correct for the given data in the table?\nIteration (i): 0, 1, 2, 3\nInput (I): 20, -4, 10, 15\nOutput (X): 20, 16, 26, 41\nOutput (Y): 20, -80, -800, -12000

(A)

$X(i) = X(i-1) + I(i)$; $Y(i) = Y(i-1) I(i)$; $i > 0$

(B)

$X(i) = X(i-1) I(i)$; $Y(i) = Y(i-1) + I(i)$; $i > 0$

(C)

$X(i) = X(i-1) I(i)$; $Y(i) = Y(i-1) I(i)$; $i > 0$

(D)

$X(i) = X(i-1) + I(i)$; $Y(i) = Y(i-1) I(i-1)$; $i > 0$

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q9

MCQ[2 Marks]

In the given figure, PQRS is a square of side 2 cm and PLMN is a rectangle. The corner L of the rectangle is on the side QR. Side MN of the rectangle passes through the corner S of the square.\nWhat is the area (in $\text{cm}^2$) of the rectangle PLMN?\nNote: The figure shown is representative.

(A)

$2\sqrt{2}$

(B)

2

(C)

8

(D)

4

Explanation

GATE→2025→General Aptitude→Quantitative Aptitude

Q10

MCQ[2 Marks]

The diagram below shows a river system consisting of 7 segments, marked P, Q, R, S, T, U, and V. It splits the land into 5 zones, marked Z1, Z2, Z3, Z4, and Z5. We need to connect these zones using the least number of bridges. Out of the following options, which one is correct?\nNote: The figure shown is representative.

(A)

Bridges on P, Q, and T

(B)

Bridges on P, Q, S, and T

(C)

Bridges on Q, R, T, and V

(D)

Bridges on P, Q, S, U, and V

Explanation

Engineering Mathematics

9 Questions

GATE→2025→Engineering Mathematics→Linear Algebra & Calculus

Q11

MCQ[1 Mark]

The value of $\lim_{t\to 1}\frac{\ln t}{t^{2}-1}$ is

(A)

$\frac{1}{2}$

(B)

0

(C)

1

(D)

08

Explanation

GATE→2025→Engineering Mathematics→Differential Equations, Complex Analysis & Probability

Q12

MCQ[1 Mark]

The Fourier series expansion of $f(x)=\sin^{2}x$ in the interval $(-\pi,\pi)$ is

(A)

$f(x)=\frac{1}{2}-\frac{1}{2}\cos 2x$

(B)

$f(x)=\sum_{n=1}^{\infty}(-1)^{n-1}\frac{\cos nx}{n^{2}}$

(C)

$f(x)=2\sum_{n=1}^{\infty}\frac{\sin 2nx}{n}$

(D)

$f(x)=\frac{1}{2}-\frac{4}{\pi^{2}}\sum_{n=1}^{\infty}\frac{\cos(2n-1)\pi x}{(2n-1)^{2}}$

Explanation

GATE→2025→Engineering Mathematics→Differential Equations, Complex Analysis & Probability

Q13

MCQ[1 Mark]

For all real values of x and y, the partial differential equation in terms of $\psi(x,y)$ given by $\frac{\partial^{2}\psi}{\partial x^{2}}+2\frac{\partial^{2}\psi}{\partial x\partial y}-3\frac{\partial^{2}\psi}{\partial y^{2}}=0$ is

(A)

hyperbolic

(B)

parabolic

(C)

elliptic

(D)

elliptic within the region, $x^{2}-y<0$

Explanation

GATE→2025→Engineering Mathematics→Linear Algebra & Calculus

Q14

MSQ[1 Mark]

Consider the function $f(x)=|x|-1$. Which of the following statements is/are true in the interval $[-10, 10]$?

(A)

The function is differentiable in the domain.

(B)

The function is continuous in the domain.

(C)

The function is not differentiable in the domain.

(D)

The function is not continuous in the domain.

Explanation

GATE→2025→Engineering Mathematics→Differential Equations, Complex Analysis & Probability

Q15

NAT[1 Mark]

A box contains 12 red and 8 blue balls. Two balls are drawn randomly from the box without replacement.\nThe probability of drawing a pair of balls having the same color is (rounded off to three decimal places).

Explanation

GATE→2025→Engineering Mathematics→Differential Equations, Complex Analysis & Probability

Q16

MCQ[2 Marks]

Consider $f(t)=\cos(at)$, where a is a real constant. The Laplace transform of $f(t)$ is

(A)

$\frac{a}{s^{2}+a^{2}}$

(B)

$\frac{s}{s^{2}+a^{2}}$

(C)

$\frac{a}{s^{2}-a^{2}}$

(D)

$\frac{s}{s^{2}-a^{2}}$

Explanation

GATE→2025→Engineering Mathematics→Linear Algebra & Calculus

Q17

NAT[2 Marks]

The value of $\iint x^{2}y\,dx\,dy$ evaluated over the specified domain is (answer in integer).

Explanation

GATE→2025→Engineering Mathematics→Linear Algebra & Calculus

Q18

NAT[2 Marks]

Let $M = \begin{bmatrix} 1 & 0 \\ 0 & 2 \end{bmatrix}$ and $K = \begin{bmatrix} 2 & -1 \\ -1 & 1 \end{bmatrix}$ satisfy the eigenvalue problem given by $[M - \alpha K]\varphi = 0$.\nThe lowest eigenvalue $\alpha$ is (rounded off to two decimal places).

Explanation

GATE→2025→Engineering Mathematics→Linear Algebra & Calculus

Q19

NAT[2 Marks]

The gradient of $y = 3x^{2}\sin(2x)$ at $x = 0.2$ is (rounded off to three decimal places).

Explanation

Applied Mechanics and Structures

8 Questions

GATE→2025→Applied Mechanics and Structures→Vibrations & Machine Design

Q20

MCQ[1 Mark]

The dynamic response amplitude $|H(\omega)|$ of a single degree of freedom system subjected to support motion is given by the expression. $|H(\omega)|$ increases with an increase in damping ratio ($\zeta$) if the excitation frequency ($\omega$) is ______ the natural frequency ($\omega_n$) of the system.

(A)

less than $0.75$ times

(B)

less than $\frac{\sqrt{3}}{2}$ times

(C)

less than $\sqrt{2}$ times

(D)

greater than $\sqrt{2}$ times

Explanation

GATE→2025→Applied Mechanics and Structures→Engineering Mechanics & Mechanics of Materials

Q21

MCQ[1 Mark]

In the stress-strain curve of mild steel, plastic deformation starts at the

(A)

proportional limit

(B)

elastic limit

(C)

upper yield point

(D)

lower yield point

Explanation

GATE→2025→Applied Mechanics and Structures→Engineering Mechanics & Mechanics of Materials

Q22

MCQ[2 Marks]

A square shaped body is subjected to only direct tensile stresses $\sigma_x$ and $\sigma_y$ as shown in the figure. If $\sigma_x > \sigma_y$, then the value of normal stress $(\sigma_{\theta})$ and shear stress $(\tau_{\theta})$ respectively on the principal/reference planes are given by options.

(A)

$\frac{\sigma_x-\sigma_y}{2}$ and $\frac{\sigma_x+\sigma_y}{2}$

(B)

$\frac{\sigma_x+\sigma_y}{2}$ and $\frac{\sigma_x-\sigma_y}{2}$

(C)

$\frac{\sigma_x+\sigma_y}{2}$ and $\frac{\sigma_x+\sigma_y}{2}$

(D)

$\frac{\sigma_x-\sigma_y}{2}$ and $\frac{\sigma_x-\sigma_y}{2}$

Explanation

GATE→2025→Applied Mechanics and Structures→Engineering Mechanics & Mechanics of Materials

Q23

MCQ[2 Marks]

The beam PQRS is subjected to a vertical point load of 10 kN at point S as shown in the figure.\nThe magnitude of fixed end moment at P is kN-m.

(A)

50

(B)

10

(C)

30

(D)

40

Explanation

GATE→2025→Applied Mechanics and Structures→Engineering Mechanics & Mechanics of Materials

Q24

MCQ[2 Marks]

For a butt weld joint of two plates, which one of the following loading scenarios has the least permissible stress?

(A)

Tensile

(B)

Bending

(C)

Bearing

(D)

Shear

Explanation

GATE→2025→Applied Mechanics and Structures→Engineering Mechanics & Mechanics of Materials

Q25

NAT[2 Marks]

A simply supported solid beam is subjected to a vertical point load of 10 N at the middle. The length of the beam is 4 m, and the cross section is $0.5\text{ m} \times 0.5\text{ m}$.\nThe magnitude of maximum tensile stress in the beam is $N/m^2$ (answer in integer).

Explanation

GATE→2025→Applied Mechanics and Structures→Engineering Mechanics & Mechanics of Materials

Q26

NAT[2 Marks]

The displacement field of a body is given by $\vec{u} = yx\hat{i} + yz\hat{j} + (z + x^2)\hat{k}$.\nThe shear strain $\gamma_{xy}$ at $(2, 1, 5)$ is (answer in integer).

Explanation

GATE→2025→Applied Mechanics and Structures→Vibrations & Machine Design

Q27

NAT[2 Marks]

A single degree of freedom system is undergoing free oscillation. The natural frequency and damping ratio of the system are $1\text{ rad/sec}$ and 0.01 respectively.\nThe reduction in peak amplitude over three cycles is % (rounded off to one decimal place).

Explanation

Fluid Mechanics and Marine Hydrodynamics

10 Questions

GATE→2025→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q28

MCQ[1 Mark]

The sum of the static pressure and dynamic pressure at a point in a fluid flow is called the

(A)

kinematic pressure

(B)

vacuum pressure

(C)

stagnation pressure

(D)

kinetic pressure

Explanation

GATE→2025→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q29

MCQ[1 Mark]

Identify the range of Reynolds number (Re) for a creeping flow.

(A)

$2000 < Re < 20000$

(B)

$1000 < Re < 2000$

(C)

$10 < Re < 100$

(D)

$Re \ll 1$

Explanation

GATE→2025→Fluid Mechanics and Marine Hydrodynamics→Boundary Layer Theory, Vorticity & Hydrodynamic Model Testing

Q30

MCQ[1 Mark]

The ratio of the magnitudes of vorticity to rate of rotation in a fluid flow is ______

(A)

2

(B)

3

(C)

$\frac{1}{2}$

(D)

1

Explanation

GATE→2025→Fluid Mechanics and Marine Hydrodynamics→Boundary Layer Theory, Vorticity & Hydrodynamic Model Testing

Q31

MCQ[1 Mark]

In a laminar boundary layer, the ratio of boundary layer thickness ($\delta$) to the corresponding displacement thickness ($\delta^*$) lies between

(A)

1.5 and 2.4

(B)

2.5 and 3.4

(C)

3.5 and 4.4

(D)

4.5 and 5.4

Explanation

GATE→2025→Fluid Mechanics and Marine Hydrodynamics→Boundary Layer Theory, Vorticity & Hydrodynamic Model Testing

Q32

MCQ[2 Marks]

Match the non-dimensional numbers in Column 1 with the corresponding definitions in Column 2: \nColumn 1:\nI. Froude number\nII. Reynolds number\nIII. Euler number\nIV. Weber number \nColumn 2:\nP. Ratio of inertial force to surface tension force\nQ. Ratio of inertial force to gravitational force\nR. Ratio of inertial force to viscous force\nS. Ratio of pressure force to inertial force

(A)

I-S; II-R; III-P; IV-Q

(B)

I-Q; II-R; III-S; IV-P

(C)

I-Q; II-R; III-P; IV-S

(D)

I-S; II-Q; III-R; IV-P

Explanation

GATE→2025→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q33

NAT[2 Marks]

The stream function of a two-dimensional flow field is given as $\psi = 2xy + 2y + 2x$. The coordinates of two points P and Q in the flow field are $(1, 2)$ and $(2, 5)$ respectively.\nThe magnitude of flow discharge between the streamlines passing through P and Q is (answer in integer).

Explanation

GATE→2025→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q34

NAT[2 Marks]

A tank with a constant water level of 4 m above the centreline of an opening of diameter 100 mm is shown in the figure. Neglect all losses and assume $g = 9.81\text{ m/s}^2$.\nThe discharge through the opening is litre/s (answer in integer).

Explanation

GATE→2025→Fluid Mechanics and Marine Hydrodynamics→Boundary Layer Theory, Vorticity & Hydrodynamic Model Testing

Q35

NAT[2 Marks]

Air flows with a velocity of $2\text{ m/s}$ over a flat plate parallel to its length of $0.5\text{ m}$. Kinematic viscosity of air $\nu$ is $1.5 \times 10^{-5}\text{ m}^2/\text{s}$.\nUsing Blasius solution, the boundary layer thickness at the trailing edge of the surface is mm (rounded off to two decimal places).

Explanation

GATE→2025→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q36

NAT[2 Marks]

A negligibly thin horizontal plate PQ has a length 3 m and width 1 m. It is being pulled along its length at a speed of $1\text{ m/s}$ in between two static parallel plates as shown in the figure. The gap of 6 cm between the plates is filled with a Newtonian fluid of dynamic viscosity $\mu = 0.2\text{ N-s/m}^2$. The thin plate is located at 3 cm from the top surface. The velocity distribution between the thin plate and the static plates is linear.\nThe steady force required to pull the plate is N (answer in integer).

Explanation

GATE→2025→Fluid Mechanics and Marine Hydrodynamics→Fluid Mechanics & Potential Flow Theory

Q37

NAT[2 Marks]

Water of density $\rho = 1000\text{ kg/m}^3$ flows with a velocity $V = 50\text{ m/s}$ through a $180^{\circ}$ curved tube of uniform cross-section as shown in the figure. If the flow rate is $0.06\text{ m}^3/\text{s}$, the magnitude of reaction force $F_x$ required to keep it stationary is kN (rounded off to one decimal place).

Explanation

Naval Architecture and Ocean Engineering

18 Questions

GATE→2025→Naval Architecture and Ocean Engineering→Physical Oceanography, Offshore Structures & Port Engineering

Q38

MCQ[1 Mark]

Which one of the following wave energy spectra is formulated for two peaks?

(A)

Pierson-Moskowitz spectrum

(B)

JONSWAP spectrum

(C)

Ochi-Hubble spectrum

(D)

Neumann spectrum

Explanation

GATE→2025→Naval Architecture and Ocean Engineering→Physical Oceanography, Offshore Structures & Port Engineering

Q39

MCQ[1 Mark]

According to linear water wave theory, at a point on the free surface of a regular wave, the phase difference between the free surface elevation and the horizontal water particle acceleration is

(A)

$0^\circ$

(B)

$45^\circ$

(C)

$90^\circ$

(D)

$135^\circ$

Explanation

GATE→2025→Naval Architecture and Ocean Engineering→Ship Geometry, Stability and Trim

Q40

MCQ[1 Mark]

A ship of 5000 tonne displacement has two empty rectangular double bottom tanks with dimensions:\nTank A: length 12 m, width 16 m, and height 2 m\nTank B: length 16 m, width 12 m, and height 2 m\nThe length of each tank is oriented along the length of the ship. It is required to ballast the ship with $192\text{ m}^3$ of seawater of density $1025\text{ kg/m}^3$.\nWhich one of the following scenarios will minimize the free surface effect?

(A)

100% of the given ballast water is filled in Tank A.

(B)

100% of the given ballast water is filled in Tank B.

(C)

50% of the given ballast water is filled in Tank A and the remaining in Tank B.

(D)

40% of the given ballast water is filled in Tank A and the remaining in Tank B.

Explanation

GATE→2025→Naval Architecture and Ocean Engineering→Ship Motions, Structures & Strength

Q41

MCQ[1 Mark]

The midship section of a barge of breadth W and depth H is shown in the figure. All plate thicknesses are equal. The barge is subjected to a longitudinal bending moment in the upright condition.\nWhich one of the following statements is correct?

(A)

Magnitude of longitudinal bending stress is maximum at point P and magnitude of vertical shear stress is maximum at point Q.

(B)

Magnitude of longitudinal bending stress is maximum at point S and magnitude of vertical shear stress is maximum at point R.

(C)

Magnitude of longitudinal bending stress is maximum at point Q and magnitude of vertical shear stress is maximum at point S.

(D)

Magnitude of longitudinal bending stress is maximum at point R and magnitude of vertical shear stress is maximum at point P.

Explanation

GATE→2025→Naval Architecture and Ocean Engineering→Resistance, Propulsion & Ship Manoeuvring

Q42

MCQ[2 Marks]

Consider a Planar Motion Mechanism (PMM) test of a ship model in a towing tank. The transverse motion of the model from the centerline of the tank is described by $y=a_{0}\cos(\omega t)$, where $\omega$ is the angular frequency. The carriage speed is $3\text{ m/s}$, $\omega=\frac{\sqrt{3}}{2}\text{ rad/s}$ and the maximum drift angle during the test is $30^{\circ}$.\nThe amplitude of oscillation $a_{0}$ lies between

(A)

0.2 m and 0.4 m

(B)

0.5 m and 0.7 m

(C)

1.0 m and 1.2 m

(D)

1.9 m and 2.1 m

Explanation

GATE→2025→Naval Architecture and Ocean Engineering→Ship Geometry, Stability and Trim

Q43

MSQ[1 Mark]

For a freely floating body in water, which of the following degrees of freedom has/have inherent restoring force?

(A)

Sway

(B)

Surge

(C)

Heave

(D)

Pitch

Explanation

GATE→2025→Naval Architecture and Ocean Engineering→Physical Oceanography, Offshore Structures & Port Engineering

Q44

MSQ[1 Mark]

Choose the correct statement(s) from the following with respect to a ship generated Kelvin wave pattern in deep water.

(A)

A system of transverse waves and divergent waves are observed behind the ship.

(B)

A system of transverse waves and divergent waves are observed in front of the ship.

(C)

The waves are contained in a sector originating at the bow with a half angle of $9^\circ28'$

(D)

The amplitude of wave components decrease as they propagate.

Explanation

GATE→2025→Naval Architecture and Ocean Engineering→Resistance, Propulsion & Ship Manoeuvring

Q45

NAT[1 Mark]

The dynamics of a 90 m long ship are governed by the non-dimensional Nomoto equation. The magnitude of Nomoto gain $|K'|=\frac{72}{35\pi}$ and that of Nomoto time constant $|T'|=\frac{288}{35\pi}$.\nThe steady turning radius of the ship for a $35^{\circ}$ turning circle maneuver is m (answer in integer).

Explanation

GATE→2025→Naval Architecture and Ocean Engineering→Ship Geometry, Stability and Trim

Q46

NAT[1 Mark]

A ship of length 200 m has a beam of 25 m. She floats in seawater with an even keel draught of 5 m. The prismatic coefficient of the ship is 0.9; the mass displacement is 20500 tonne and the density of seawater is $1025\text{ kg/m}^3$.\nThe midship section coefficient is (rounded off to two decimal places).

Explanation

GATE→2025→Naval Architecture and Ocean Engineering→Resistance, Propulsion & Ship Manoeuvring

Q47

MCQ[2 Marks]

Consider a rectangular barge of length (L) 100 m, breadth 25 m and draught 10 m. The barge has the following non-dimensional hydrodynamic derivatives with respect to a coordinate system whose origin is at the center of gravity. $Y_v' = -1000 \times 10^{-5}$, $N_r' = -800 \times 10^{-5}$ $N_v' = -200 \times 10^{-5}$, $Y_r' = 100 \times 10^{-5}$\nThe stability criterion $C'$ is given by $C' = Y_v'(N_r' - m'x_G') - (Y_r' - m')N_v'$.\nWhich one of the following is correct regarding the controls-fixed straight-line stability?

(A)

Unstable with C' = -1.8 x 10^{-5}

(B)

Stable with C' = 3.2 x 10^{-5}

(C)

Stable with C' = -1.8 x 10^{-5}

(D)

Unstable with C' = 3.2 x 10^{-5}

Explanation

GATE→2025→Naval Architecture and Ocean Engineering→Resistance, Propulsion & Ship Manoeuvring

Q48

MCQ[2 Marks]

A ship has a propeller of 5 m pitch rotating at 120 rpm. The ship travels at $8\text{ m/s}$ and the wake fraction is 0.25.\nThe apparent slip ratio and real slip ratio are respectively.

(A)

0.20 and 0.40

(B)

0.40 and 0.20

(C)

0.20 and 0.25

(D)

0.25 and 0.20

Explanation

GATE→2025→Naval Architecture and Ocean Engineering→Ship Geometry, Stability and Trim

Q49

MCQ[2 Marks]

A ship of length 100 m and displacement 5000 tonne floats even-keel at 6.5 m in fresh water of density $1000\text{ kg/m}^3$. The ship's hydrostatic properties are given.\nThe ship has moved to seawater of density $1025\text{ kg/m}^3$ without change in the displacement. The new forward and aft draughts are respectively.

(A)

6.04 m and 6.54 m

(B)

6.30 m and 6.64 m

(C)

6.64 m and 6.30 m

(D)

6.30 m and 6.30 m

Explanation

GATE→2025→Naval Architecture and Ocean Engineering→Ship Motions, Structures & Strength

Q50

MSQ[2 Marks]

Consider a case where the load Q for a ship structure has only statistical uncertainties. The probability density function of the load $p_Q(x)$ is shown in the figure. The characteristic limit value of the load ($Q_{L_c}$) is 1.5 and factor of safety is 1.\nWhich of the following probability of exceedance value(s) of the load will lead to a safe design?

(A)

0.05

(B)

0.10

(C)

0.15

(D)

0.20

Explanation

GATE→2025→Naval Architecture and Ocean Engineering→Ship Motions, Structures & Strength

Q51

NAT[2 Marks]

A freely-floating rectangular barge of length 200 m is divided into five equal compartments. In light-weight condition, the weight and buoyancy are uniformly distributed along the length of the barge. Assume $g=9.81\text{ m/s}^2$.\nIf 500 tonne of liquid cargo is added to each of the two end compartments as shown in the figure, then the maximum bending moment is MN-m (rounded off to two decimal places).

Explanation

GATE→2025→Naval Architecture and Ocean Engineering→Physical Oceanography, Offshore Structures & Port Engineering

Q52

NAT[2 Marks]

An ocean wave is propagating from deep to shallow water. The wave is approaching the coast at $45^{\circ}$ counterclockwise from the shore normal with an initial phase speed of $12.5\text{ m/s}$. After entering the shallow water, the wave direction becomes $30^{\circ}$ counterclockwise from the shore normal.\nThe phase speed of the wave at the shallow water is $m/s$ (rounded off to one decimal place).

Explanation

GATE→2025→Naval Architecture and Ocean Engineering→Ship Motions, Structures & Strength

Q53

NAT[2 Marks]

A multi-cell midship section of a ship with $B=40\text{ m}$ and $D=20\text{ m}$ is shown in the figure. The shear-flows are given as $q_{1}=q_{2}=q_{3}=0.9376\text{ MN/m}$.\nThe applied twisting moment on the midship section is MN-m (rounded off to two decimal places).

Explanation

GATE→2025→Naval Architecture and Ocean Engineering→Ship Geometry, Stability and Trim

Q54

NAT[2 Marks]

A ship of 3300 tonne displacement is undergoing an inclining experiment in seawater of density $1025\text{ kg/m}^3$. A mass of 6 tonne is displaced transversely by 12 m as shown in the figure. This results in 0.12 m deflection of a 11 m long pendulum suspended from the centerline. The transverse metacenter of the ship is located at 7.25 m above the keel.\nThe distance of the center of gravity from the keel is m (rounded off to two decimal places).

Explanation

GATE→2025→Naval Architecture and Ocean Engineering→Resistance, Propulsion & Ship Manoeuvring

Q55

NAT[2 Marks]

A ship moving at a steady forward speed of $10\text{ m/s}$ experiences a total resistance of $140\text{ kN}$. The Quasi Propulsive Coefficient (QPC) is 0.70; the propeller shaft losses are 5% and the mechanical efficiency of the main engine is 80%.\nThe indicated power of the main engine is kW (rounded off to two decimal places).

Explanation

Thermodynamics and Marine Engineering

10 Questions

GATE→2025→Thermodynamics and Marine Engineering→Engine Dynamics & Marine Auxiliary Machinery & Systems

Q56

MCQ[1 Mark]

For marine engine shafts subjected to high radial and axial thrust loads, which one of the following types of bearings is the most suitable?

(A)

Deep groove ball

(B)

Sealed ball

(C)

Tapered roller

(D)

Needle

Explanation

GATE→2025→Thermodynamics and Marine Engineering→Engine Dynamics & Marine Auxiliary Machinery & Systems

Q57

MCQ[1 Mark]

In ships, a flash evaporator is used to obtain

(A)

distilled water

(B)

low viscosity lubricating oil

(C)

high-temperature heavy oil

(D)

air for space heating

Explanation

GATE→2025→Thermodynamics and Marine Engineering→Marine Steam Turbines, Gas Turbines & Boilers

Q58

MCQ[1 Mark]

Which one of the following is the most common type of gear assembly used for coupling steam turbine and propeller shafts?

(A)

Spur

(B)

Single helical

(C)

Double helical

(D)

Worm

Explanation

GATE→2025→Thermodynamics and Marine Engineering→Marine Steam Turbines, Gas Turbines & Boilers

Q59

MSQ[1 Mark]

Which of the following boiler arrangements will ensure that there is NO contamination of the primary feed system?

(A)

Steam-to-steam generator

(B)

Double evaporation boiler

(C)

Water tube boiler

(D)

Fire tube boiler

Explanation

GATE→2025→Thermodynamics and Marine Engineering→Thermodynamics & Marine Diesel Engines

Q60

MSQ[1 Mark]

Which of the following components is/are NOT found in a two-stroke marine diesel engine?

(A)

Crankshaft

(B)

Piston

(C)

Spark plug

(D)

Air-inlet valve

Explanation

GATE→2025→Thermodynamics and Marine Engineering→Thermodynamics & Marine Diesel Engines

Q61

MCQ[2 Marks]

A closed system is undergoing a reversible process 1-P-2 from state 1 to 2, as shown in the figure, where X and Y are thermodynamic properties. An irreversible process 2-Q-1 brings the system back from 2 to 1.\nThe net change in entropy of the system and surroundings during the above-mentioned cycle are respectively.

(A)

positive and negative

(B)

negative and positive

(C)

zero and negative

(D)

zero and positive

Explanation

GATE→2025→Thermodynamics and Marine Engineering→Thermodynamics & Marine Diesel Engines

Q62

MCQ[2 Marks]

An ideal Brayton cycle (1-2-3-4) consisting of two isentropic and two isobaric processes is shown in the T-s plot, where T is the temperature and s is the specific entropy of the system. Which one of the following plots represents the corresponding actual cycle $1-2'-3-4'$ (denoted by dashed lines) between the same two pressures $p_{1}$ and $p_{2}$?

(A)

Plot A

(B)

Plot B

(C)

Plot C

(D)

Plot D

Explanation

GATE→2025→Thermodynamics and Marine Engineering→Thermodynamics & Marine Diesel Engines

Q63

NAT[2 Marks]

Consider the psychrometric process denoted by the straight line from state 1 to 2 in the figure. The specific humidity, Dry Bulb Temperature (DBT) and Wet Bulb Temperature (WBT) at the two states are shown in the table. The latent heat of vaporization of water $(h_{fg})$ is $2440\text{ kJ/kg}$.\nIf the flow rate of air is $1\text{ kg/s}$, the rate of heat transfer from the air is kW (rounded off to two decimal places).

Explanation

GATE→2025→Thermodynamics and Marine Engineering→Thermodynamics & Marine Diesel Engines

Q64

NAT[2 Marks]

Consider a weightless, frictionless piston with a 2 kg mass placed on it as shown in the figure. At equilibrium in position 1, the cylinder contains 0.1 kg of air. The piston cross-sectional area is $0.01\text{ m}^2$. The ambient pressure in the surroundings outside the piston-cylinder arrangement is 0 bar (absolute). When the mass above the piston is removed instantaneously, it moves up and hits the stop at position 2 which is 0.1 m above the initial position.\nAssuming $g=9.81\text{ m/s}^2$, the thermodynamic work done by the system during this process is J (answer in integer).

Explanation

GATE→2025→Thermodynamics and Marine Engineering→Thermodynamics & Marine Diesel Engines

Q65

NAT[2 Marks]

A two-stroke four-cylinder large marine diesel engine has a cylinder bore of 600 mm and stroke length of 2400 mm. The brake thermal efficiency $(\eta_{bth})$ is 45% and fuel consumption rate $(\dot{m}_{f})$ is $0.265\text{ kg/s}$ at an engine speed (N) of 100 rpm. Assuming the calorific value of fuel is $42\text{ MJ/kg}$, the brake mean effective pressure (bmep) is bar (rounded off to one decimal place).

Explanation