List of top General Aptitude Questions asked in GATE CE

A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, the following results are obtained: 
(i) The sum of Yellow balls and twice the number of Violet balls is 50. 
(ii) The sum of Violet and Green balls is 50. 
(iii) The sum of Yellow and Red balls is 50. 
(iv) The sum of Violet and twice the number of Red balls is 50.

“His life was divided between the books, his friends, and long walks. A solitary man, he worked at all hours without much method, and probably courted his fatal illness in this way. To his own name there is not much to show; but such was his liberality that he was continually helping others, and fruits of his erudition are widely scattered, and have gone to increase many a comparative stranger’s reputation.”
(From E.V. Lucas’s “A Funeral”)
Based only on the information provided in the above passage, which one of the following statements is true?

For the clock shown in the figure, if
O* = O Q S Z P R T, and
X* = X Z P W Y O Q,
then which one among the given options is most appropriate for P*?

A business person buys potatoes of two different varieties P and Q, mixes them in a certain ratio, and sells them at ₹192 per kg. 
The cost of variety P is ₹800 for 5 kg. 
The cost of variety Q is ₹800 for 4 kg. 
If the person gets an 8% profit, what is the P : Q ratio (by weight)? 

Three villages P, Q, and R are located in such a way that the distance PQ = 13 km, QR = 14 km, and RP = 15 km, as shown in the figure. A straight road joins Q and R. It is proposed to connect P to this road QR by constructing another road. What is the minimum possible length (in km) of this connecting road?
{Note: The figure shown is representative.}

Is there any good show .......... television tonight?
As the police officer was found guilty of embezzlement, he was .......... dismissed from the service in accordance with the Service Rules.
The sum of the following infinite series is: \[ \frac{1}{1!} + \frac{1}{2!} + \frac{1}{3!} + \frac{1}{4!} + \frac{1}{5!} + \dots \]
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? 
 

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:

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

For positive integers \( p \) and \( q \), with \( \frac{p}{q} \neq 1 \), \( \left(\frac{p}{q}\right)^q = p^{(q-1)} \). Then,
Find the odd one out in the set: {19, 37, 21, 17, 23, 29, 31, 11}
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?
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
How many combinations of non-null sets A, B, C are possible from the subsets of {2, 3, 5} satisfying the conditions: (i) A is a subset of B, and (ii) B is a subset of C?
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,...