List of top General Aptitude Questions asked in GATE Mechanical Engineering

Two cars, P and Q, start from a point X in India at 10 AM. Car P travels North with a speed of 25 km/h and car Q travels East with a speed of 30 km/h. Car P travels continuously but car Q stops for some time after traveling for one hour. If both cars are at the same distance from X at 11:30 AM, for how long (in minutes) did car Q stop?

Fish : Shoal :: Lion : _________
Select the correct option to complete the analogy.

Which one of the following options has the correct sequence of objects arranged in the increasing number of mirror lines (lines of symmetry)?

P and Q play chess frequently against each other. Of these matches, P has won 80% of the matches, drawn 15% of the matches, and lost 5% of the matches.
If they play 3 more matches, what is the probability of P winning exactly 2 of these 3 matches?

The given figure is reflected about the horizontal dashed line and then rotated clockwise by 90° about an axis perpendicular to the plane of the figure.
Which one of the following options correctly shows the resultant figure?
Note: The figures shown are representative


 

If HIDE and CAGE are coded as 19-23-7-11 and 5-2-17-11 respectively, then what is the code for HIGH?

Identify the option that has the most appropriate sequence such that a coherent paragraph is formed:
Statement:
P. At once, without thinking much, people rushed towards the city in hordes with the sole aim of grabbing as much gold as they could.
Q. However, little did they realize about the impending hardships they would have to face on their way to the city: miles of mud, unfriendly forests, hungry beasts, and inimical local lords—all of which would reduce their chances of getting gold to almost zero.
R. All of them thought that easily they could lay their hands on gold and become wealthy overnight.
S. About a hundred years ago, the news that gold had been discovered in Kolar spread like wildfire and the whole State was in raptures.
 

The ceiling function of a real number \( x \), denoted by \( ce(x) \), is defined as the smallest integer that is greater than or equal to \( x \). Similarly, the floor function, denoted by \( fl(x) \), is defined as the largest integer that is smaller than or equal to \( x \). Which one of the following statements is NOT correct for all possible values of \( x \)?
Identify the grammatically correct sentence:

How many pairs of sets (S,T) are possible among the subsets of 1, 2, 3, 4, 5, 6 that satisfy the condition that S is a subset of T? 
 

An opaque pyramid (shown below), with a square base and isosceles faces, is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The pyramid can be reoriented in any direction within the light beam. Under these conditions, which one of the shadows P, Q, R, and S is NOT possible? 

 

The symbols O, *, \(\Delta\), and \(\square\) are to be filled, one in each box, as shown below. 
The rules for filling in the four symbols are as follows. 
1) Every row and every column must contain each of the four symbols. 
2) Every 2x2 square delineated by bold lines must contain each of the four symbols. 
Which symbol will occupy the box marked with ‘?’ in the partially filled figure? 

 

A certain country has 504 universities and 25951 colleges. These are categorised into Grades I, II, and III as shown in the given pie charts. 
What is the percentage, correct to one decimal place, of higher education institutions (colleges and universities) that fall into Grade III? 

 

The minute-hand and second-hand of a clock cross each other ............... times between 09:15:00 AM and 09:45:00 AM on a day.
In a recently held parent-teacher meeting, the teachers had very few complaints about Ravi. After all, Ravi was a hardworking and kind student. Incidentally, almost all of Ravi's friends at school were hardworking and kind too. But the teachers drew attention to Ravi's complete lack of interest in sports. The teachers believed that, along with some of his friends who showed similar disinterest in sports, Ravi needed to engage in some sports for his overall development.
Based only on the information provided above, which one of the following statements can be logically inferred with certainty?
Consider the following inequalities \[ p^2 - 4q<4 \] \[ 3p + 2q<6 \] where p and q are positive integers. The value of \((p+q)\) is ................
Which one of the sentence sequences in the given options creates a coherent narrative?
(i) I could not bring myself to knock.
(ii) There was a murmur of unfamiliar voices coming from the big drawing room and the door was firmly shut.
(iii) The passage was dark for a bit, but then it suddenly opened into a bright kitchen.
(iv) I decided I would rather wander down the passage.
He did not manage to fix the car himself, so he ............... in the garage.
Planting : Seed :: Raising : ............... (By word meaning)