Practice GATE Aerospace Engineering General Aptitude previous year questions from 8 papers, topic by topic, with the official answer key where available.
General Aptitude - Verbal Ability
“He often _____ the numbers. False claims are not going to help. Honesty _____ trust”, said the manager. Choose the option with the correct order of words to fill the blanks.
Official answer: A
General Aptitude - Analytical & Spatial Reasoning
In the sequence of tiles shown below, the missing tile indicated by the question mark should be
Official answer: B
General Aptitude - Numerical Ability
A school has 100 students distributed among $1^{\text{st}}$ to $10^{\text{th}}$ standards. Based on this, which one of the following statements is always correct?
Official answer: A
General Aptitude - Numerical Ability
How many 3-digit numbers can be formed using three distinct single digit prime numbers?
Official answer: B
General Aptitude - Numerical Ability
In a group of students, 10 students like Mathematics, 12 students like English, 4 students like both Mathematics and English, and 6 students like neither Mathematics nor English. The number of students in the group is ____
Official answer: C
General Aptitude - Verbal Ability
Charity : P :: Retaliation : Q Choose the appropriate pair of words P and Q that fit the analogy.
Official answer: D
General Aptitude - Analytical & Spatial Reasoning
A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?
Official answer: A
General Aptitude - Analytical & Spatial Reasoning
Consider the cube shown below with its 8 corners labelled a, b, c, d, e, f, g, and h. The figure is representative. All corners are to be colored such that any two corners that are connected by an edge must be of different colors. The minimum number of colors required to achieve this is ________
Official answer: D
General Aptitude - Analytical & Spatial Reasoning
Four hills H1, H2, H3, and H4 are present in an area. The following observations are made about them: i. Neither H2 nor H3 is the easternmost hill. ii. Neither H2 nor H3 is the westernmost hill. iii. Neither the easternmost hill nor the westernmost hill is the southernmost hill. iv. Two hills are located to the west of H2. v. The southernmost hill has at least two hills to its east. The southernmost hill is ________.
Official answer: C
General Aptitude - Analytical & Spatial Reasoning
As shown in the figure, circle $C_1$ with center $O_1$ and radius $r_1$ touches the square $VWXY$ at points $P$ and $Q$ while circle $C_2$ with center $O_2$ and radius $r_2$ touches the square $VWXY$ at points $R$ and $S$. The two circles touch each other at $T$. Given $r_1 = 1$ cm and $\overline{VY} = \overline{VW} = 4$ cm, $r_2 =$ ______ cm.
Official answer: C
General Aptitude - Verbal Ability
Courage : Bravery :: Yearning : __________ Select the most appropriate option to complete the analogy.
Official answer: A
General Aptitude - Verbal Ability
We __________ tennis in the lawn when it suddenly started to rain. Select the most appropriate option to complete the above sentence.
Official answer: B
General Aptitude - Analytical & Spatial Reasoning
A $4 \times 4$ digital image has pixel intensities ($U$) as shown in the figure. The number of pixels with $U \leq 4$ is:
Official answer: C
General Aptitude - Numerical Ability
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 ?
Official answer: A
General Aptitude - Numerical Ability
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?
Official answer: C
General Aptitude - Verbal Ability
Column-I has statements made by Shanthala; and, Column-II has responses given by Kanishk. Column-I: P. This house is in a mess. Q. I am not happy with the marks given to me. R. Politics is a subject I avoid talking about. S. I don't know what this word means. Column-II: 1. Alright, I won't bring it up during our conversations. 2. Well, you can easily look it up. 3. No problem, let me clear it up for you. 4. Don't worry, I will take it up with your teacher. Identify the option that has the correct match between Column-I and Column-II.
Official answer: B
General Aptitude - Numerical Ability
Weight of a person can be expressed as a function of their age. The function varies from person to person. Suppose this function is identical for two brothers, and it monotonically increases till the age of 50 years and then it monotonically decreases. Let $a_1$ and $a_2$ (in years) denote the ages of the brothers and $a_1 < a_2$. Which one of the following statements is correct about their age on the day when they attain the same weight?
Official answer: B
General Aptitude - Analytical & Spatial Reasoning
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: Note: The figure shown is representative.
Official answer: A
General Aptitude - Numerical Ability
If a real variable $x$ satisfies $3^{x^2} = 27 \times 9^x$, then the value of $\dfrac{2^{x^2}}{(2^x)^2}$ is:
Official answer: C
General Aptitude - Numerical Ability
The number of patients per shift ($X$) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns is ₹ $1000(X - 0.2)$, what is the average amount (in ₹) she has earned per shift in the past 100 shifts? Note: The figure shown is representative.
Official answer: A
General Aptitude - Verbal Ability
If '→' denotes increasing order of intensity, then the meaning of the words [dry → arid → parched] is analogous to [diet → fast → ________ ]. Which one of the given options is appropriate to fill the blank?
Official answer: A
General Aptitude - Numerical Ability
If two distinct non-zero real variables $x$ and $y$ are such that $(x+y)$ is proportional to $(x-y)$ then the value of $\dfrac{x}{y}$
Official answer: D
General Aptitude - Numerical Ability
Consider the following sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 The median of the sample is
Official answer: A
General Aptitude - Numerical Ability
The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coins is
Official answer: C
General Aptitude - Numerical Ability
For positive non-zero real variables $p$ and $q$, if $$\log(p^2 + q^2) = \log p + \log q + 2\log 3,$$ then, the value of $\dfrac{p^4+q^4}{p^2q^2}$ is
Official answer: A
General Aptitude - Verbal Ability
In the given text, the blanks are numbered (i)–(iv). Select the best match for all the blanks. Steve was advised to keep his head ___(i)___ before heading ___(ii)___ to bat; for, while he had a head ___(iii)___ batting, he could only do so with a cool head ___(iv)___ his shoulders.
Official answer: C
General Aptitude - Numerical Ability
A rectangular paper sheet of dimensions 54 cm × 4 cm is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of the cylindrical tube to the volume of the cube is
Official answer: A
General Aptitude - Analytical & Spatial Reasoning
The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person. The typical energy density (kcal/g) of these macronutrients is given in the table: $$\begin{array}{|l|c|}\hline \text{Macronutrient} & \text{Energy density (kcal/g)} \\ \hline \text{Carbohydrates} & 4 \\ \text{Proteins} & 4 \\ \text{Unsaturated fat} & 9 \\ \text{Saturated fat} & 9 \\ \text{Trans fat} & 9 \\ \hline\end{array}$$ The total fat (all three types), in grams, this person consumes is
Official answer: C
General Aptitude - Numerical Ability
A rectangular paper of 20 cm × 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is
Official answer: A
General Aptitude - Analytical & Spatial Reasoning
The least number of squares to be added in the figure to make AB a line of symmetry is
Official answer: A
General Aptitude - Numerical Ability
“You are delaying the completion of the task. Send _______ contributions at the earliest.”
Official answer: B
General Aptitude - Verbal Ability
References : ______ : : Guidelines : Implement (By word meaning)
Official answer: C
General Aptitude - Analytical & Spatial Reasoning
In the given figure, PQRS is a parallelogram with PS = 7 cm, PT = 4 cm and PV = 5 cm. What is the length of RS in cm? (The diagram is representative.)
Official answer: B
General Aptitude - Analytical & Spatial Reasoning
In 2022, June Huh was awarded the Fields medal, which is the highest prize in Mathematics. When he was younger, he was also a poet. He did not win any medals in the International Mathematics Olympiads. He dropped out of college. Based only on the above information, which one of the following statements can be logically inferred with certainty?
Official answer: D
General Aptitude - Analytical & Spatial Reasoning
A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line. The given figure consists of 16 unit squares arranged as shown. In addition to the three black squares, what is the minimum number of squares that must be coloured black, such that both PQ and MN form lines of symmetry? (The figure is representative)
Official answer: C
General Aptitude - Analytical & Spatial Reasoning
Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world, it is given that the statement “Some human beings are not cruel creatures” is FALSE, then which of the following set of statement(s) can be logically inferred with certainty? (i) All human beings are cruel creatures. (ii) Some human beings are cruel creatures. (iii) Some creatures that are cruel are human beings. (iv) No human beings are cruel creatures.
Official answer: D
General Aptitude - Numerical Ability
To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2. If the total cost of sand and cement to construct the wall is 1000 rupees, then what is the cost (in rupees) of cement used?
Official answer: A
General Aptitude - Verbal Ability
The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until the country has an adequate macroeconomic policy framework in place. In a statement, the World Bank said Sri Lanka needed to adopt structural reforms that focus on economic stabilisation and tackle the root causes of its crisis. The latter has starved it of foreign exchange and led to shortages of food, fuel, and medicines. The bank is repurposing resources under existing loans to help alleviate shortages of essential items such as medicine, cooking gas, fertiliser, meals for children, and cash for vulnerable households. Based only on the above passage, which one of the following statements can be inferred with certainty?
Official answer: C
General Aptitude - Numerical Ability
The coefficient of $x^4$ in the polynomial $(x-1)^3(x-2)^3$ is equal to ______.
Official answer: A
General Aptitude - Numerical Ability
Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spaces in between them? The copies of the shape used to tile are identical and are not allowed to overlap.
Official answer: D
General Aptitude - Numerical Ability
Writing too many things on the ________ while teaching could make the students get _________.
Official answer: B
General Aptitude - Analytical & Spatial Reasoning
Which one of the following is a representation (not to scale and in bold) of all values of $x$ satisfying the inequality $2 - 5x \le -\dfrac{6x-5}{3}$ on the real number line?
Official answer: C
General Aptitude - Numerical Ability
If $f(x) = 2\ln\left(\sqrt{e^x}\right)$, what is the area bounded by $f(x)$ for the interval $[0, 2]$ on the $x$-axis?
Official answer: C
General Aptitude - Numerical Ability
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?
Official answer: A
General Aptitude - Analytical & Spatial Reasoning
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).
General Aptitude - Verbal Ability
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. Which one of the following is the CORRECT logical inference based on the information in the above passage?
Official answer: C
General Aptitude - Numerical Ability
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 $m$?
Official answer: C
General Aptitude - Numerical Ability
Consider the following functions for non-zero positive integers, $p$ and $q$. $$f(p,q) = \underbrace{p \times p \times p \times \dots \times p}_{q\ \text{terms}} = p^q;\quad f(p,1) = p$$ $$g(p,q) = p^{p^{p^{\cdot^{\cdot^{p}}}}}\ (\text{up to } q \text{ terms});\quad g(p,1) = p$$ Which one of the following options is correct based on the above?
Official answer: A
General Aptitude - Analytical & Spatial Reasoning
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 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?
Official answer: A
General Aptitude - Analytical & Spatial Reasoning
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. What is the ratio of the areas of unshaded regions of case M to that of case N?
Official answer: B
General Aptitude - Verbal Ability
“The dress _________ her so well that they all immediately _________ her on her appearance.” The words that best fill the blanks in the above sentence are
Official answer: D
General Aptitude - Verbal Ability
“The judge’s standing in the legal community, though shaken by false allegations of wrongdoing, remained _________.” The word that best fills the blank in the above sentence is
Official answer: A
General Aptitude - Numerical Ability
Find the missing group of letters in the following series: BC, FGH, LMNO, _____
Official answer: B
General Aptitude - Numerical Ability
The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?
Official answer: A
General Aptitude - Numerical Ability
The value of the expression $\dfrac{1}{1+\log_u vw} + \dfrac{1}{1+\log_v wu} + \dfrac{1}{1+\log_w uv}$ is ________.
Official answer: C
General Aptitude - Numerical Ability
Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film B and nineteen students watched film C. How many students watched all three films?
Official answer: C
General Aptitude - Numerical Ability
A wire would enclose an area of 1936 m$^2$, if it is bent into a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the short pieces are bent into a square and a circle, respectively. Which of the following choices is closest to the sum of the areas enclosed by the two pieces in square meters?
Official answer: C
General Aptitude - Numerical Ability
A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How many additional robots would be required to complete the work on time, if each robot is now operational for 8 hours a day?
General Aptitude - Numerical Ability
A house has a number which needs to be identified. The following three statements are given that can help in identifying the house number. i. If the house number is a multiple of 3, then it is a number from 50 to 59. ii. If the house number is NOT a multiple of 4, then it is a number from 60 to 69. iii. If the house number is NOT a multiple of 6, then it is a number from 70 to 79. What is the house number?
Official answer: D
General Aptitude - Analytical & Spatial Reasoning
An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head and T stands for tail, the following are the observations from the four trials: (1) HTHTHT (2) TTHHHT (3) HTTHHT (4) HHHT__ __. Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?
Official answer: B
General Aptitude - Numerical Ability
The chairman requested the aggrieved shareholders to _________________ him.
Official answer: C
General Aptitude - Numerical Ability
Identify the correct spelling out of the given options:
Official answer: B
General Aptitude - Numerical Ability
Pick the odd one out in the following: 13, 23, 33, 43, 53
Official answer: B
General Aptitude - Analytical & Spatial Reasoning
R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes. Which of the following can be logically inferred from the above statements?
Official answer: B
General Aptitude - Numerical Ability
If $|9y - 6| = 3$, then $y^2 - 4y/3$ is _______.
Official answer: C
General Aptitude - Analytical & Spatial Reasoning
The following graph represents the installed capacity for cement production (in tonnes) and the actual production (in tonnes) of nine cement plants of a cement company. Capacity utilization of a plant is defined as ratio of actual production of cement to installed capacity. A plant with installed capacity of at least 200 tonnes is called a large plant and a plant with lesser capacity is called a small plant. The difference between total production of large plants and small plants, in tonnes is ____.
Official answer: 120
General Aptitude - Analytical & Spatial Reasoning
A poll of students appearing for masters in engineering indicated that 60 % of the students believed that mechanical engineering is a profession unsuitable for women. A research study on women with masters or higher degrees in mechanical engineering found that 99 % of such women were successful in their professions. Which of the following can be logically inferred from the above paragraph?
Official answer: C
General Aptitude - Verbal Ability
Sourya committee had proposed the establishment of Sourya Institutes of Technology (SITs) in line with Indian Institutes of Technology (IITs) to cater to the technological and industrial needs of a developing country. Which of the following can be logically inferred from the above sentence? Based on the proposal, (i) In the initial years, SIT students will get degrees from IIT. (ii) SITs will have a distinct national objective. (iii) SIT like institutions can only be established in consultation with IIT. (iv) SITs will serve technological needs of a developing country.
Official answer: C
General Aptitude - Numerical Ability
Shaquille O' Neal is a 60% career free throw shooter, meaning that he successfully makes 60 free throws out of 100 attempts on average. What is the probability that he will successfully make exactly 6 free throws in 10 attempts?
Official answer: A
General Aptitude - Numerical Ability
The numeral in the units position of $211^{870} + 146^{127} \times 3^{424}$ is _____.
Official answer: 7
General Aptitude - Verbal Ability
A student is required to demonstrate a high level of comprehension of the subject, especially in the social sciences. The word closest in meaning to comprehension is
Official answer: A
General Aptitude - Verbal Ability
Choose the most appropriate word from the options given below to complete the following sentence. One of his biggest ______ was his ability to forgive.
Official answer: B
General Aptitude - Verbal Ability
Rajan was not happy that Sajan decided to do the project on his own. On observing his unhappiness, Sajan explained to Rajan that he preferred to work independently. Which one of the statements below is logically valid and can be inferred from the above sentences?
Official answer: D
General Aptitude - Numerical Ability
If $y = 5x^2 + 3$, then the tangent at $x = 0$, $y = 3$
Official answer: C
General Aptitude - Numerical Ability
A foundry has a fixed daily cost of Rs 50,000 whenever it operates and a variable cost of Rs $800Q$, where $Q$ is the daily production in tonnes. What is the cost of production in Rs per tonne for a daily production of 100 tonnes?
Official answer: 1300
General Aptitude - Numerical Ability
Find the odd one in the following group: ALRVX, EPVZB, ITZDF, OYEIK
Official answer: D
General Aptitude - Analytical & Spatial Reasoning
Anuj, Bhola, Chandan, Dilip, Eswar and Faisal live on different floors in a six-storeyed building (the ground floor is numbered 1, the floor above it 2, and so on). Anuj lives on an even-numbered floor. Bhola does not live on an odd numbered floor. Chandan does not live on any of the floors below Faisal's floor. Dilip does not live on floor number 2. Eswar does not live on a floor immediately above or immediately below Bhola. Faisal lives three floors above Dilip. Which of the following floor-person combinations is correct?
Official answer: B
General Aptitude - Numerical Ability
The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is 3:4:5:6. The largest angle of the triangle is twice its smallest angle. What is the sum, in degrees, of the second largest angle of the triangle and the largest angle of the quadrilateral?
Official answer: 180
General Aptitude - Numerical Ability
One percent of the people of country X are taller than 6 ft. Two percent of the people of country Y are taller than 6 ft. There are thrice as many people in country X as in country Y. Taking both countries together, what is the percentage of people taller than 6 ft?
Official answer: D
General Aptitude - Analytical & Spatial Reasoning
The monthly rainfall chart based on 50 years of rainfall in Agra is shown in the following figure. Which of the following are true? ($k$ percentile is the value such that $k$ percent of the data fall below that value) (i) On average, it rains more in July than in December. (ii) Every year, the amount of rainfall in August is more than that in January. (iii) July rainfall can be estimated with better confidence than February rainfall. (iv) In August, there is at least 500 mm of rainfall.
Official answer: B