List of top General Aptitude Questions asked in GATE CE, GATE CY

A thin wire is used to construct all the edges of a cube of 1 m side by bending, cutting and soldering the wire. If the wire is 12 m long, what is the minimum number of cuts required to construct the wire frame to form the cube?

The figures, I, II, and III are parts of a sequence. Which one of the following options comes next in the sequence as IV?

“Why do they pull down and do away with crooked streets, I wonder, which are my delight, and hurt no man living? Every day the wealthier nations are pulling down one or another in their capitals and their great towns: they do not know why they do it; neither do I. It ought to be enough, surely, to drive the great broad ways which commerce needs and which are the life-channels of a modern city, without destroying all history and all the humanity in between: the islands of the past.” (From Hilaire Belloc’s “The Crooked Streets”)
Based only on the information provided in the above passage, which one of the following statements is true?

Rohit goes to a restaurant for lunch at about 1 PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coinciding. After about an hour, when he leaves the restaurant, he notices that the clock hands are again exactly coinciding. How much time (in minutes) did Rohit spend at the restaurant?

A color model is shown in the figure with color codes: Yellow (Y), Magenta (M), Cyan (Cy), Red (R), Blue (Bl), Green (G), and Black (K). Which one of the following options displays the color codes that are consistent with the color model?

A circle with center at \( (x, y) = (0.5, 0) \) and radius = 0.5 intersects with another circle with center at \( (x, y) = (1, 1) \) and radius = 1 at two points. One of the points of intersection \( (x, y) \) is:

An object is said to have an n-fold rotational symmetry if the object, rotated by an angle of \( \frac{2\pi}{n} \), is identical to the original.
Which one of the following objects exhibits 4-fold rotational symmetry about an axis perpendicular to the plane of the screen?

In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of \( P \), \( Q \), and \( R \)?

A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius \( r \) cm as shown in the figure. The side of the dodecagon is \( d \) cm. All the triangles (numbered 1 to 12 in the figure) are used to form squares of side \( r \) cm, and each numbered triangle is used only once to form a square. The number of squares that can be formed and the number of triangles required to form each square, respectively, are:

Column-I has statements made by Shanthala; and, Column-II has responses given by Kanishk.

A rectangle has a length \(L\) and a width \(W\), where \(L>W\). If the width, \(W\), is increased by 10%, which one of the following statements is correct for all values of \(L\) and \(W\)?
Select the most appropriate option to complete the above sentence.

A 4 × 4 digital image has pixel intensities (U) as shown in the figure. The number of pixels with \( U \leq 4 \) is:

We __________ tennis in the lawn when it suddenly started to rain.
Select the most appropriate option to complete the above sentence.

For positive integers \( p \) and \( q \), with \( \frac{p}{q} \neq 1 \), \( \left(\frac{p}{q}\right)^q = p^{(q-1)} \). Then,

The chart below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation (MWh) in a time of 1000 hours (h).

The Capacity Factor of a power generation technology is defined as: \[ \text{Capacity Factor} = \frac{\text{Electricity Generation (MWh)}}{\text{Installed Capacity (MW)} \times 1000 \, \text{(h)}} \] Which one of the given technologies has the highest Capacity Factor?

In the \( 4 \times 4 \) array shown below, each cell of the first three columns has either a cross (X) or a number, as per the given rule.
A number equals the count of crosses in its 8 neighboring cells (left, right, top, bottom, and diagonals). The fourth column is empty. As per this rule, the maximum number of crosses possible in the empty column is

During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be \(89.85^\circ\), the ratio of the Earth-Sun and Earth-Moon distances is closest to:

In the given text, the blanks are numbered (i)—(iv). Select the best match for all the blanks.
Prof. P \(\underline{(i)}\) merely a man who narrated funny stories. moments he was capable of self-deprecating humor. \(\underline{(ii)}\) in his blackest
Prof. Q \(\)\(\underline{(i)}\) a man who hardly narrated funny stories. \(\underline{(iv)}\) in his blackest moments was he able to find humor.

Take two long dice (rectangular parallelepiped), each having four rectangular faces labelled as 2, 3, 5, and 7. If thrown, the long dice cannot land on the square faces and has 1/4 probability of landing on any of the four rectangular faces. The label on the top face of the dice is the score of the throw. If thrown together, what is the probability of getting the sum of the two long dice scores greater than 11?

In the following series, identify the number that needs to be changed to form the Fibonacci series. 1, 1, 2, 3, 6, 8, 13, 21,...

The real variables x, y, z, and the real constants p, q, r satisfy.
\( \frac{x}{pq-r^2} = \frac{y}{qr-p^2} = \frac{ z}{rp - q^2}\)
Given that the denominators are non-zero, the value of \(px +qy+rz\) is

The bar chart gives the batting averages of VK and RS for 11 calendar years from 2012 to 2022. Considering that 2015 and 2019 are world cup years, which one of the following options is true?