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

The value of the contour integral $\oint \frac{dz}{2z - z^2}$ along the circle $|z| = 1$, oriented in the counterclockwise sense is
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 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:
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:
For positive non-zero real variables \( p \) and \( q \), if \[ \log \left( p^2 + q^2 \right) = \log p + \log q + 2 \log 3, \] then the value of \( \frac{p^4 + q^4}{p^2 q^2} \) is:
A rectangular paper sheet of dimensions \( 54 \, \text{cm} \times 4 \, \text{cm} \) is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of the cylindrical tube to the volume of the cube is:
If \( \rightarrow \) denotes increasing order of intensity, then the meaning of the words [dry \( \rightarrow \) arid \( \rightarrow \) parched] is analogous to [diet \( \rightarrow \) fast \( \rightarrow \) \(\_\_\_\_\_\_\_\_\)]. Which one of the given options is appropriate to fill the blank?
Consider the following sample of numbers: \[ 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 \] The median of the sample is:
The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coins is: