List of top Questions asked in GATE Naval Architecture and Marine Engineering

If two distinct non-zero real variables \( x \) and \( y \) are such that \( (x + y) \) is proportional to \( (x - y) \), then the value of \( \frac{x}{y} \) is:

In the given text, the blanks are numbered (i)—(iv). Select the best match for all the blanks. Steve was advised to keep his head ………. (i) before heading ……….. (ii) to bat; for, while he had a head ……….. (iii) batting, he could only do so with a cool head ………. (iv) his shoulders.

The pie chart presents the percentage contribution of different macronutrients to a typical \( 2,000 \, \text{kcal} \) diet of a person. 

The typical energy density(kcal/g) of these macronutrients given in the table 

The total fat (all three types), in grams, this person consumes is: 
 

A rectangular paper of \( 20 \, \text{cm} \times 8 \, \text{cm} \) is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is:

The least number of squares to be added in the figure to make \( AB \) a line of symmetry is: 

The value of the contour integral \[ \oint \frac{dz}{2z - z^2} \] along the circle \( |z| = 1 \), oriented in the counterclockwise sense is
The tangent plane to the surface \( x^2 + y^2 + z = 9 \) at the point \( (1, 2, 4) \) is:
The value of the line integral \[ \oint (x^2 \, dx + 2x \, dy) \] along the ellipse \( 4x^2 + y^2 = 4 \), oriented in the counterclockwise sense, is:

Consider the matrices 
\( M = \begin{pmatrix} 2 & 1 \\ 0 & 2 \end{pmatrix} \)

\( N = \begin{pmatrix} 1 & 0 & 0 \\ 1 & 2 & 0 \\ 1 & 1 & 0 \end{pmatrix} \)

Which one of the following is true?

The system of linear equations \[ x + 2y + 3z = 4, \quad 2x - y - 2z = a^2, \quad -x - 7y - 11z = a \] has a solution if the values of \( a \) are:

A ship with a standard right-handed coordinate system has positive \(x\), \(y\), and \(z\) axes respectively pointing towards bow, starboard, and down as shown in the figure. If the ship takes a starboard turn, then the drift angle, sway velocity, and the heel angle of the ship for a steady yaw rate respectively are: 


A ship with controls fixed is modeled as a two degrees of freedom system. For the linear maneuvering equations of motion for coupled sway and yaw, if the derived eigenvalues are real and negative, then the ship must possess:
Which one of the following cooling systems is used in large marine diesel engines?
Which one of the following reduces the ratio of vibratory response amplitude to the forcing amplitude, in large stationary engine shaft design?

The GZ curve for a stable ship is shown in the figure, where \( P \) is a point of inflection on the curve. Match the labels in Column 1 with the corresponding descriptions in Column 2. 

Consider an initially perfectly straight elastic column with pinned supports at both ends. If \( E \) is the Young's modulus of the material, \( L \) is the length of the column between the supports, and \( I \) is the least moment of inertia of the constant cross-sectional area of the column, then the Euler load is given by:
How many independent material constants in solids are required to define isotropic materials?
Which one of the following is the mass conservation equation?
Which of the following hull distortion(s) is/are resisted by a ship’s transverse bulkhead?
Which of the following statement(s) is/are correct about strip theory?
Which of the following boiler(s) is/are NOT used in a nuclear propulsion system for ships?

Consider an ideal Rankine cycle as shown in the figure, where \( T \) and \( S \) represent the temperature and entropy respectively. The overall efficiency of the cycle can be improved by: 

 

The arc length of the one arch of the cycloid given by \( x = t - \sin t \) and \( y = 1 - \cos t \) is ………..

Identify the type of flow from the time series plots of instantaneous fluid velocity (\( u \)) at a point.



A. \[ \begin{array}{l} I - \text{unsteady turbulent flow}; \\ II - \text{steady turbulent flow}; \\ III - \text{steady laminar flow}; \\ IV - \text{unsteady laminar flow}. \end{array} \]
B. \[ \begin{array}{l} I - \text{steady turbulent flow}; \\ II - \text{unsteady turbulent flow}; \\ III - \text{unsteady laminar flow}; \\ IV - \text{steady laminar flow}. \end{array} \]
C. \[ \begin{array}{l} I - \text{steady turbulent flow}; \\ II - \text{unsteady turbulent flow}; \\ III - \text{steady laminar flow}; \\ IV - \text{unsteady laminar flow}. \end{array} \]
D. \[ \begin{array}{l} I - \text{steady turbulent flow}; \\ II - \text{unsteady laminar flow}; \\ III - \text{unsteady turbulent flow}; \\ IV - \text{steady laminar flow}. \end{array} \]
 

A 10 m long pipe with inlet and outlet diameters of 40 cm and 20 cm respectively, is carrying an incompressible fluid with a flow rate of \( 0.04 \, \text{m}^3/\text{s} \). The ratio of the velocity at the outlet to that at the inlet is ………….. (rounded off to one decimal place).