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General Aptitude
List of top General Aptitude Questions
A trapezium has vertices marked as P, Q, R, and S (in that order anticlockwise). The side PQ is parallel to side SR. Further, it is given that, PQ = 11 cm, QR = 4 cm, RS = 6 cm, and SP = 3 cm. What is the shortest distance between PQ and SR (in cm)?
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General Aptitude
Geometry
The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole. What is the maximum number of squares without a "hole in the interior" that can be formed within the 4 $\times$ 4 grid using the unit squares as building blocks?
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GATE NM
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GATE MT
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GATE EC
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GATE ES
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GATE MN
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GATE ST
General Aptitude
Geometry
Mr. X speaks __________ Japanese __________ Chinese.
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GATE ES
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GATE ST
General Aptitude
Sentence Completion
Humans are naturally compassionate and honest. In a study using strategically placed wallets that appear “lost”, it was found that wallets with money are more likely to be returned than wallets without money. Similarly, wallets that had a key and money are more likely to be returned than wallets with the same amount of money alone. This suggests that the primary reason for this behavior is compassion and empathy.
Which one of the following is the CORRECT logical inference based on the information in the above passage?
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General Aptitude
Mathematical Logic
Given below are three conclusions drawn based on the following three statements.
Statement 1: All teachers are professors.
Statement 2: No professor is a male.
Statement 3: Some males are engineers.
Conclusion I: No engineer is a professor.
Conclusion II: Some engineers are professors.
Conclusion III: No male is a teacher.
Which one of the following options can be logically inferred?
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General Aptitude
Mathematical Logic
In a 12-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a 12-hour duration from 3 PM in a day to 3 AM the next day?
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GATE PE
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GATE AR
General Aptitude
Mathematical Logic
A rhombus is formed by joining the midpoints of the sides of a unit square. What is the diameter of the largest circle that can be inscribed within the rhombus?
GATE PE - 2022
GATE PE
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GATE AR
General Aptitude
Geometry
An equilateral triangle, a square and a circle have equal areas.
What is the ratio of the perimeters of the equilateral triangle to square to circle?
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GATE PE
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GATE ME
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GATE AR
General Aptitude
Geometry
The average of the monthly salaries of M, N and S is ₹4000. The average of the monthly salaries of N, S and P is ₹5000. The monthly salary of P is ₹6000.
What is the monthly salary of M as a percentage of the monthly salary of P?
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GATE PE
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GATE AR
General Aptitude
Number Systems
A person travelled 80 km in 6 hours. If the person travelled the first part with a uniform speed of 10 kmph and the remaining part with a uniform speed of 18 kmph.
What percentage of the total distance is travelled at a uniform speed of 10 kmph?
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GATE AR
General Aptitude
Number Systems
Four girls P, Q, R, and S are studying languages in a University. P is learning French and Dutch. Q is learning Chinese and Japanese. R is learning Spanish and French. S is learning Dutch and Japanese.
Given that: French is easier than Dutch; Chinese is harder than Japanese; Dutch is easier than Japanese, and Spanish is easier than French. Based on the above information, which girl is learning the most difficult pair of languages?
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GATE AR
General Aptitude
Probability
After playing ________________ hours of tennis, I am feeling ________________ tired to walk back.
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General Aptitude
Sentence Completion
A block with a trapezoidal cross-section is placed over a block with a rectangular cross-section as shown above.
Which one of the following is the correct drawing of the view of the 3D object as viewed in the direction indicated by the arrow in the above figure?
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GATE AR
General Aptitude
Geometry
Writing too many things on the _____ while teaching could make the students get _____
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General Aptitude
English Grammar
Which one of the following is a representation (not to scale and in bold) of all values of \( x \) satisfying the inequality \( 2 - 5x \leq \frac{-6x - 5}{3} \) on the real number line?
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GATE AE
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General Aptitude
Geometry
If \( f(x) = 2 \ln(\sqrt{e^x}) \), what is the area bounded by \( f(x) \) for the interval \([0, 2]\) on the x-axis?
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General Aptitude
Logical and Analytical Reasoning Skills
A person was born on the fifth Monday of February in a particular year.
Which one of the following statements is correct based on the above information?
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General Aptitude
Logical and Analytical Reasoning Skills
Which one of the groups given below can be assembled to get the shape that is shown above using each piece only once without overlapping with each other? (rotation and translation operations may be used).
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GATE AE
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GATE ME
General Aptitude
Geometry
Fish belonging to species S in the deep sea have skins that are extremely black (ultra-black skin). This helps them not only to avoid predators but also sneakily attack their prey. However, having this extra layer of black pigment results in lower collagen on their skin, making their skin more fragile.
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GATE ME
General Aptitude
Logical and Analytical Reasoning Skills
For the past \( m \) days, the average daily production at a company was 100 units per day.
If today’s production of 180 units changes the average to 110 units per day, what is the value of \( m \)?
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GATE GE
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GATE ME
General Aptitude
Logical and Analytical Reasoning Skills
Consider the following functions for non-zero positive integers, \( p \) and \( q \):
\[ f(p, q) = p \times p \times p \times \cdots \times p = p^q \quad ; \quad f(p, 1) = p \] \[ g(p, q) = ppppp\cdots (up \text{ to } q \text{ terms}) \quad ; \quad g(p, 1) = p \]
Which one of the following options is correct based on the above?
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GATE ME
General Aptitude
Geometry
Four cities P, Q, R, and S are connected through one-way routes as shown in the figure. The travel time between any two connected cities is one hour. The boxes beside each city name describe the starting time of the first train of the day and their frequency of operation. For example, from city P, the first trains of the day start at 8 AM with a frequency of 90 minutes to each of R and S. A person does not spend additional time at any city other than the waiting time for the next connecting train.
If the person starts from R at 7 AM and is required to visit S and return to R, what is the minimum time required?
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General Aptitude
Logical and Analytical Reasoning Skills
Equal sized circular regions are shaded in a square sheet of paper of 1 cm side length. Two cases, case M and case N, are considered as shown in the figures below. In the case M, four circles are shaded in the square sheet and in the case N, nine circles are shaded in the square sheet as shown.
What is the ratio of the areas of unshaded regions of case M to that of case N?
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GATE AE
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GATE ME
General Aptitude
Logical and Analytical Reasoning Skills
A game consists of spinning an arrow around a stationary disk as shown below.
When the arrow comes to rest, there are eight equally likely outcomes. It could come to rest in any one of the sectors numbered 1, 2, 3, 4, 5, 6, 7, or 8 as shown.
Two such disks are used in a game where their arrows are independently spun.
What is the probability that the sum of the numbers on the resulting sectors upon spinning the two disks is equal to 8 after the arrows come to rest?
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General Aptitude
Probability
A sphere of radius \(r\) cm is packed in a box of cubical shape. What should be the minimum volume (in cm\(^3\)) of the box that can enclose the sphere?
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GATE TF
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GATE GG
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GATE CH
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GATE PI
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GATE CY
General Aptitude
Geometry
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