List of top General Aptitude Questions asked in GATE NM

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 $?

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? Note: The figures shown are representative.

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? Note:

Bird : Nest :: Bee : __________
Select the correct option to complete the analogy.

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.

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?

Despite his initial hesitation, Rehman’s ____________ to contribute to the success of the project never wavered.
Select the most appropriate option to complete the above sentence.

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. What is the area (in cm$^2$) of the rectangle PLMN? Note:

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

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:

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:

A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line.
The given figure consists of 16 unit squares arranged as shown. In addition to the three black squares, what is the minimum number of squares that must be coloured black, such that both PQ (anti-diagonal) and MN (main diagonal) form lines of symmetry? (The figure is representative)

The coefficient of $x^4$ in the polynomial $(x - 1)^3 (x - 2)^3$ is equal to .....................