List of top General Aptitude Questions asked in GATE AR

In the given figure, \(P\), \(Q\), and \(R\) are three points on a circle of radius 10 cm with \(O\) as its center, \(\overline{PQ}=\overline{RQ}\), and \(\angle PQR = 45^{\circ}\). The figure is representative.

The area of the shaded region \(PQRO\) is \(\text{cm}^2\).
'If his latest movie had been a commercial success, the actor would have made enough money to sponsor his next movie.'
Based only on the above sentence, which one of the following statements is true?
Rishi and Swathi are students of Class 5. Pavan and Tanvi are students of Class 4. Rishi and Pavan are boys. Swathi and Tanvi are girls. The four students played a total of three games of chess. The games were played one after another. A player who lost a game did not participate in any more games. It was observed that:

(i) the first game was the only game where two students of the same class played against each other,
(ii) the students of Class 5 won more games than the students of Class 4, and
(iii) the boys won two games and the girls won one game.

The student who did not lose any game is .
Five integers are picked from 0 to 20, with possible repetitions, such that their mean is 12, median is 18, and they have a single mode of 20.
Ignoring permutations, the number of ways to pick these five integers is ______
'My friend and I parted the door the cabin that I had rented the night.'
Choose the option with the correct sequence of words to fill the blanks.
\(P\), \(Q\), \(R\), \(S\), \(X\), and \(Y\) are distinct single-digit whole numbers taking values from 0 to 9.

\(PQ\) is a two-digit number with \(Q\) being in the units place and \(P\) in the tens place. Similarly, \(RS\) is a two-digit number.

It is known that \(PQ\) and \(RS\) are consecutive numbers and \((PQ)^2+(RS)^2=XYP\), with \(XYP\) being a three-digit number.

The value of \(Y\) is
The product of the digits of a three-digit number is 70. The sum of the digits of this three-digit number is ______
The four pieces of a puzzle are shown in the figure below.

Which one of the figures labelled as P, Q, R, and S can be constructed by using each of the four pieces only once without overlaps?
Consider two distinct positive real numbers \(m, n\), with \(m > n\).
Let \(x = n^{\log_{10}(m)}\) and \(y = m^{\log_{10}(n)}\). The relation between \(x\) and \(y\) is ______.
Verbosity : Brevity :: Insolence : ______
Choose the word that best fills the blank.

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

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?
Identify the grammatically correct sentence:
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 \( x \)?
A final year student appears for placement interview in two companies, S and T. Based on her interview performance, she estimates the probability of receiving job offers from companies S and T to be 0.8 and 0.6, respectively. Let \( p \) be the probability that she receives job offers from both the companies. Select the most appropriate option.

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.
 

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?
Thousands of years ago, some people began dairy farming. This coincided with a number of mutations in a particular gene that resulted in these people developing the ability to digest dairy milk.
Based on the given passage, which of the following can be inferred?
In an election, the share of valid votes received by the four candidates A, B, C, and D is represented by the pie chart shown. The total number of votes cast in the election were 1,15,000, out of which 5,000 were invalid.
In an election, the share of valid votes received by the four candidates A, B, C, and D is represented by the pie chart shown. The total number of votes cast in the election were 1,15,000, out of which 5,000 were invalid

Based on the data provided, the total number of valid votes received by the candidates B and C is
How many pairs of sets \((S, T)\) are possible among the subsets of \(\{1,2,3,4,5,6\}\) that satisfy the condition that \(S \subseteq T\)?
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.
Consider the following inequalities: \[ p^2 - 4q < 4, 3p + 2q < 6 \] where \(p\) and \(q\) are positive integers. The value of \((p+q)\) is \underline{\hspace{1cm}}.