GATE Overflow for GATE ESE - Questions without answers in General Aptitude

GATE ES 2026 | GA | Question: 1

Mon, 23 Feb 2026 13:18:44 +0000

To continue the sequence of tiles shown, the tile indicated by the question mark should be

GATE ES 2026 | GA | Question: 2

Mon, 23 Feb 2026 13:18:42 +0000

Consider an art gallery whose walkways are shown as lines in the diagram. A black dot represents a junction of two walkways. A guard may be placed at a junction to watch over the walkways that join at that junction. The minimum number of guards needed to watch all the walkways is $\_\_\_\_$

GATE ES 2026 | GA | Question: 3

Mon, 23 Feb 2026 13:18:40 +0000

The $2^{\text {nd }}$ of June is a Thursday in a certain year. Which day of the week is the $3^{\text {rd }}$ of July in that year?

Thursday
Friday
Saturday
Sunday

GATE ES 2026 | GA | Question: 4

Mon, 23 Feb 2026 13:18:38 +0000

A coin with heads facing up is shown as and a coin with tails facing up is shown as .

Six coins are placed in the Starting Arrangement, as shown in the figure below. A "step" is defined as interchanging a pair of adjacent coins without flipping them. The minimum number of steps needed to go from the Starting Arrangement to the Final Arrangement, as shown in the figure, is $\_\_\_\_$

$3$
$6$
$9$
$12$

GATE ES 2026 | GA | Question: 5

Mon, 23 Feb 2026 13:18:36 +0000

Exacerbate : Mitigate :: $\_\_\_\_$

Choose the option with the correct pair of words to fill the blank.

Aggravate: Alleviate
Alleviate: Precipitate
Aggravate: Precipitate
Emancipate : Exonerate

GATE ES 2026 | GA | Question: 6

Mon, 23 Feb 2026 13:18:34 +0000

A paper shown in Panel $\text{I}$ is folded along the dashed lines $(- - -)$ to construct a cube. The shaded regions shown in Panel $\text{I}$ appear on the outer surface of the cube. Referring to cubes shown in Panel $\text{II}$, which one of the options is correct?

Only $\text{(i)}$ can correspond to the unfolded cube in Panel $\text{I}$.
Only $\text{(ii)}$ can correspond to the unfolded cube in Panel $\text{I}$.
Both $\text{(i)}$ and $\text{(ii)}$ can correspond to the unfolded cube in Panel $\text{I}$.
Neither $\text{(i)}$ nor $\text{(ii)}$ can correspond to the unfolded cube in Panel $\text{I}$.

GATE ES 2026 | GA | Question: 7

Mon, 23 Feb 2026 13:18:31 +0000

In a population, patients who have high cholesterol also have high blood-pressure (BP). Some patients with high BP also have diabetes. There are no patients who have both high cholesterol and diabetes. Furthermore,

the total number of patients with at least one of these conditions is $75$,
the number of patients with high cholesterol is $10$,
the number of patients with high BP is $45$, and
the number of patients with only high BP and no other conditions is $20$.

Then the number of patients who have both diabetes and high BP is $\_\_\_\_$

$0$
$15$
$20$
$10$

GATE ES 2026 | GA | Question: 8

Mon, 23 Feb 2026 13:18:29 +0000

Four people $\mathrm{P}, \mathrm{Q}, \mathrm{R}$, and $\text{S}$, of different ages, make the following observations.

$\mathrm{P}-\mathrm{I}$ am younger than $\text{S}$.

$\text{Q}$ - I am neither the youngest nor the oldest.

$\mathrm{R}-\mathrm{P}$ is older than me.

Based on these observations, the youngest person is $\_\_\_\_$.

$\mathrm{P}$
$\text{Q}$
$\mathrm{R}$
$\text{S}$

GATE ES 2026 | GA | Question: 9

Mon, 23 Feb 2026 13:18:27 +0000

Circles $C_{1}, C_{2}$, and $C_{3}$, with centers $O_{1}, O_{2}$, and $O_{3}$, and radii $r_{1}, r_{2}$, and $r_{3}$, respectively, touch each other as shown in the following figure. Given $r_{1}=2 \mathrm{~cm}$, $r_{2}=1 \mathrm{~cm}$ and the angle $\angle O_{1} O_{3} O_{2}$ is $90^{\circ}, r_{3}=$ $\_\_\_\_$ $\mathrm{cm}$.

$\dfrac{1}{2}(-3+\sqrt{17})$
$\dfrac{1}{2}(3+\sqrt{17})$
$\dfrac{1}{2}(-2+\sqrt{17})$
$\dfrac{1}{2}(-3+2 \sqrt{17})$

GATE ES 2026 | GA | Question: 10

Mon, 23 Feb 2026 13:18:24 +0000

Suresh said, "I did it yesterday."

Which one of the following options is the correct form of this sentence in indirect speech?

Suresh said that I did it yesterday.
Suresh says I did it yesterday.
Suresh says that he did it the day before.
Suresh said that he had done it the day before.

GATE ES 2025 | GA Question: 1

Thu, 06 Mar 2025 16:56:36 +0000

Courage : Bravery :: Yearning : $\_\_\_\_$

Select the most appropriate option to complete the analogy.

Longing
Yelling
Yawning
Glaring

GATE ES 2025 | GA Question: 2

Thu, 06 Mar 2025 16:56:34 +0000

We $\_\_\_\_\_\_$ tennis in the lawn when it suddenly started to rain.

Select the most appropriate option to complete the above sentence.

have been playing
had been playing
would have been playing
could be playing

GATE ES 2025 | GA Question: 3

Thu, 06 Mar 2025 16:56:32 +0000

A $4 \times 4$ digital image has pixel intensities $(U)$ as shown in the figure. The number of pixels with $U \leq 4$ is:

$$\begin{array}{|l|l|l|l|} \hline 0 & 1 & 0 & 2 \\ \hline 4 & 7 & 3 & 3 \\ \hline 5 & 5 & 4 & 4 \\ \hline 6 & 7 & 3 & 2 \\ \hline \end{array}$$

$3$
$8$
$11$
$9$

GATE ES 2025 | GA Question: 4

Thu, 06 Mar 2025 16:56:30 +0000

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 $\mathrm{P}, \mathrm{Q}$, and $\mathrm{R}$?

$P=6 ; Q=5 ; R=3$
$P=5 ; Q=6 ; R=3$
$P=3 ; Q=6 ; R=6$
$P=5 ; Q=3 ; R=6$

GATE ES 2025 | GA Question: 5

Thu, 06 Mar 2025 16:56:27 +0000

A rectangle has a length $\text{L}$ and a width $\text{W}$ , where $\text{L>W}$. If the width, $\text{W}$, is increased by $10 \%$, which one of the following statements is correct for all values of $\text{L}$ and $\text{W}$?

Perimeter increases by $10 \%$.
Length of the diagonals increases by $10 \%$.
Area increases by $10 \%$.
The rectangle becomes a square.

GATE ES 2025 | GA Question: 6

Thu, 06 Mar 2025 16:56:24 +0000

Column-I has statements made by Shanthala; and, Column-II has responses given by Kanishk.
$$\begin{array}{|l|l|l|l|} \hline & \text{ Column-I }& &\text{ Column-II } \\
\hline P. & \text{This house is in a mess} & 1. & \text{Alright, I won't bring it up during} \\ &&& \text{our conversations} \\
\hline Q. & \text{I am not happy with the marks} & 2 & \text{Well, you can easily look it up} \\
& \text{given to me.} \\ \hline R. & \text{Politics is a subject I avoid talking} & 3. & \text{No problem, let me clear it up for} \\ & \text{about.} & & \text{you} \\ \hline S. & \text{I don't know what this word} & 4. & \text{Don't worry, I will take it up with} \\ & \text{means} && \text{your teacher.} \\ \hline \end{array}$$

Identify the option that has the correct match between Column-I and Column-II.

$\mathrm{P}-2 ; \mathrm{Q}-3 ; \mathrm{R}-1 ; \mathrm{S}-4$
$\mathrm{P}-3 ; \mathrm{Q}-4 ; \mathrm{R}-1 ; \mathrm{S}-2$
$\mathrm{P}-4 ; \mathrm{Q}-1 ; \mathrm{R}-2 ; \mathrm{S}-3$
$\mathrm{P}-1 ; \mathrm{Q}-2 ; \mathrm{R}-4 ; \mathrm{S}-3$

GATE ES 2025 | GA Question: 8

Thu, 06 Mar 2025 16:56:18 +0000

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 $d \mathrm{~cm}$. All the triangles (numbered $1$ to $12$) in the figure are used to form squares of side $r \mathrm{~cm}$ 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.

$3 ; 4$
$4 ; 3$
$3 ; 3$
$3 ; 2$

GATE ES 2025 | GA Question: 9

Thu, 06 Mar 2025 16:56:15 +0000

If a real variable $x$ satisfies $3^{x^{2}}=27 \times 9^{x}$, then the value of $\frac{2^{x^{2}}}{\left(2^{x}\right)^{2}}$ is:

$2^{-1}$
$2^{0}$
$2^{3}$
$2^{15}$

GATE ES 2025 | GA Question: 10

Thu, 06 Mar 2025 16:56:12 +0000

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.

$6,100$
$6,300$
$6,000$
$6,500$

GATE ES 2025 | Question: 52

Thu, 06 Mar 2025 16:20:56 +0000

A street sweeping machine starts from point $P$ and ends at $S$, as shown in the network of streets below. It sweeps all the streets at least once.

Length of the streets, in km , are shown on the network. The minimum distance travelled by the sweeping machine for completing the job of sweeping all the street is $\_\_\_\_\_\_$ km. (rounded off to nearest integer)

GATE ES 2024 | GA Question: 3

Mon, 19 Feb 2024 10:29:50 +0000

How many $4$-digit positive integers divisible by $3$ can be formed using only the digits $\{1,3,4,6,7\}$, such that no digit appears more than once in a number?

$24$
$48$
$72$
$12$

GATE ES 2024 | GA Question: 5

Mon, 19 Feb 2024 10:29:50 +0000

In an election, the share of valid votes received by the four candidates $\text{A, B, C}$, and $\mathrm{D}$ 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 $\mathrm{B}$ and $\mathrm{C}$ is

$45,000$
$49,500$
$51,750$
$54,000$

GATE ES 2024 | GA Question: 1

Mon, 19 Feb 2024 10:29:50 +0000

If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words
[sick $\rightarrow$ infirm $\rightarrow$ moribund] is analogous to [silly $\rightarrow$ ________ $ \rightarrow$ daft].

Which one of the given options is appropriate to fill the blank?

frown
fawn
vein
vain

GATE ES 2024 | GA Question: 8

Mon, 19 Feb 2024 10:29:49 +0000

Person $1$ and Person $2$ invest in three mutual funds $\text{A, B}$, and $\text{C}$. The amounts they invest in each of these mutual funds are given in the table

	Mutual fund A	Mutual fund B	Mutual fund C
Person 1	$10,000$	$20,000$	$20,000$
Person 2	$20,000$	$15,000$	$15,000$

At the end of one year, the total amount that Person $1$ gets is ₹$500$ more than Person $2$. The annual rate of return for the mutual funds $\text{B}$ and $\mathrm{C}$ is $15 \%$ each. What is the annual rate of return for the mutual fund $\mathrm{A}$ ?

$7.5 \%$
$10 \%$
$15\%$
$20\%$

GATE ES 2024 | GA Question: 2

Mon, 19 Feb 2024 10:29:49 +0000

The $15$ parts of the given figure are to be painted such that no two adjacent parts with shared boundaries $\text{(excluding corners)}$ have the same color. The minimum number of colors required is

GATE ES 2024 | GA Question: 10

Mon, 19 Feb 2024 10:29:49 +0000

Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes through the vertices of the assembled cones, what shape does the outer boundary of the resulting cross-section make?

A rhombus
A triangle
An ellipse
A hexagon

GATE ES 2024 | Question: 22

Mon, 19 Feb 2024 10:24:10 +0000

$f(x)=x^{3}-4.5 x^{2}-12 x$ has a local maximum at $x=$ __________ $\text{(an integer value)}$ in the range $x=-2$ to $+2$.

GATE ES 2023 | GA Question: 1

Tue, 23 May 2023 03:15:40 +0000

Rafi told Mary, "I am thinking of watching a film this weekend." The following reports the above statement in indirect speech: Rafi told Mary that he ____________ of watching a film that weekend.

thought
is thinking
am thinking
was thinking

GATE ES 2023 | GA Question: 2

Tue, 23 May 2023 03:15:39 +0000

Permit: ______________ : : Enforce : Relax

(By word meaning)

Allow
Forbid
License
Reinforce

GATE ES 2023 | GA Question: 4

Tue, 23 May 2023 03:15:37 +0000

A recent survey shows that $65 \%$ of tobacco users were advised to stop consuming tobacco. The survey also shows that $3$ out of $10$ tobacco users attempted to stop using tobacco.

Based only on the information in the above passage, which one of the following options can be logically inferred with certainty?

A majority of tobacco users who were advised to stop consuming tobacco made an attempt to do so.
A majority of tobacco users who were advised to stop consuming tobacco did not attempt to do so.
Approximately $30 \%$ of tobacco users successfully stopped consuming tobacco.
Approximately $65 \%$ of tobacco users successfully stopped consuming tobacco.

GATE ES 2023 | GA Question: 5

Tue, 23 May 2023 03:15:36 +0000

How many triangles are present in the given figure?

$12$
$16$
$20$
$24$

GATE ES 2023 | GA Question: 6

Tue, 23 May 2023 03:15:35 +0000

Students of all the departments of a college who have successfully completed the registration process are eligible to vote in the upcoming college elections. However, by the time the due date for registration was over, it was found that surprisingly none of the students from the Department of Human Sciences had completed the registration process.

Based only on the information provided above, which one of the following sets of statement(s) can be logically inferred with certainty?
(i) All those students who would not be eligible to vote in the college elections would certainly belong to the Department of Human Sciences.
(ii) None of the students from departments other than Human Sciences failed to complete the registration process within the due time.
(iii) All the eligible voters would certainly be students who are not from the Department of Human Sciences.

(i) and (ii)
(i) and (iii)
only (i)
only (iii)

GATE ES 2023 | GA Question: 7

Tue, 23 May 2023 03:15:33 +0000

Which one of the following options represents the given graph?

$f(x)=x^2 2^{-|x|}$
$f(x)=x 2^{-|x|}$
$f(x)=|x| 2^{-x}$
$f(x)=x 2^{-x}$

GATE ES 2023 | GA Question: 8

Tue, 23 May 2023 03:15:32 +0000

Which one of the options does NOT describe the passage below or follow from it?
We tend to think of cancer as a 'modern' illness because its metaphors are so modern. It is a disease of overproduction, of sudden growth, a growth that is unstoppable, tipped into the abyss of no control. Modern cell biology encourages us to imagine the cell as a molecular machine. Cancer is that machine unable to quench its intial command (to grow) and thus transform into an indestructible, self-propelled automaton.
[Adapted from The Emperor of All Maladies by Siddhartha Mukherjee]

It is a reflection of why cancer seems so modern to most of us
It tells us that modern cell biology uses and promotes metaphors of machinery
Modern cell biology encourages metaphors of machinery, and cancer is often imagined as a machine
Modern cell biology never uses figurative language, such as metaphors, to describe or explain anything.

GATE ES 2023 | GA Question: 9

Tue, 23 May 2023 03:15:30 +0000

The digit in the unit's place of the product $3^{999} \times 7^{1000}$ is ___________.

GATE ES 2023 | GA Question: 10

Tue, 23 May 2023 03:15:30 +0000

A square with sides of length $6 \mathrm{~cm}$ is given. The boundary of the shaded region is defined by two semi-circles whose diameters are the sides of the square, as shown.

The area of the shaded region is __________ $\mathrm{cm}^2$.

$6 \pi$
$18$
$20$
$9 \pi$

GATE ES 2023 | Question: 52

Tue, 23 May 2023 03:11:46 +0000

Ms. Anita uses a BS-IV two wheeler petrol scooter, with a mileage of $50 \mathrm{~km} / \mathrm{L}$, to travel $30 \mathrm{~km}$ every day. She exchanges this two wheeler with an electric scooter, which consumes electricity at $0.1 \mathrm{kWh} / 10 \mathrm{~km}$. Assuming the cost of petrol and electricity are fixed at Rs. $90$ per L and Rs. $3.5$ per kWh, respectively, and maintenance cost of both BS-IV two wheeler and electric scooter is negligible, the operational cost saved in a year by Ms. Anita is___________ $\text{(in Rs., in integer).}$

GATE ES 2023 | Question: 54

Tue, 23 May 2023 03:11:44 +0000

An adult of $65 \mathrm{~kg}$ weight and life span of 65 years drinks water for 5 years, which is contaminated with toluene of concentration $0.15 \mathrm{mg} / \mathrm{L}$. For toluene, reference dose is $0.200 \mathrm{mg} / \mathrm{kg}$-d. The person drinks $2 \mathrm{~L}$ of water per day. The hazard quotient from the toluene exposure for the adult will be _________ $\text{(rounded off to three decimal places).}$

GATE ES 2021 | GA Question: 1

Tue, 14 Mar 2023 03:48:47 +0000

The current population of a city is $11,02,500$. If it has been increasing at the rate of $5 \%$ per annum, what was its population $2$ years ago?

$9,92,500$
$9,95,006$
$10,00,000$
$12,51,506$

GATE ES 2021 | GA Question: 2

Tue, 14 Mar 2023 03:48:47 +0000

$p$ and $q$ are positive integers and $\frac{p}{q}+\frac{q}{p}=3$ \end{tabular} then, $\frac{p^{2}}{q^{2}}+\frac{q^{2}}{p^{2}}=$

$3$
$7$
$9$
$11$

GATE ES 2021 | GA Question: 3

Tue, 14 Mar 2023 03:48:46 +0000

The least number of squares that must be added so that the line $P-Q$ becomes the line of symmetry is

GATE ES 2021 | GA Question: 4

Tue, 14 Mar 2023 03:48:46 +0000

Nostalgia is to anticipation as is to Which one of the following options maintains a similar logical relation in the above sentence?

Present, past
Future, past
Past, future
Future, present

GATE ES 2021 | GA Question: 5

Tue, 14 Mar 2023 03:48:44 +0000

Consider the following sentences:

$\text { (i) I woke up from sleep.}$

$\text { (ii) I woked up from sleep.}$

$\text { (iii) I was woken up from sleep.}$

$\text { (iv) I was wokened up from sleep.}$

Which of the above sentences are grammatically CORRECT?

$\text{(i) and (ii)}$
$\text{(i) and (iii)}$
$\text{(ii) and (iii)}$
$\text{(i) and (iv)}$

GATE ES 2021 | GA Question: 6

Tue, 14 Mar 2023 03:48:32 +0000

Given below are two statements and two conclusions.
$\text { Statement 1: All purple are green.}$
$\text { Statement 2: All black are green.}$
$\text { Conclusion I: Some black are purple.}$
$\text { Conclusion II: No black is purple.}$

Based on the above statements and conclusions, which one of the following options is logically CORRECT?

Only conclusion I is correct.
Only conclusion II is correct.
Either conclusion I or II is correct.
Both conclusion I and II are correct.

GATE ES 2021 | GA Question: 7

Tue, 14 Mar 2023 03:48:31 +0000

Computers are ubiquitous. They are used to improve efficiency in almost all fields from agriculture to space exploration. Artificial intelligence (AI) is currently a hot topic. AI enables computers to learn, given enough training data. For humans, sitting in front of a computer for long hours can lead to health issues.
Which of the following can be deduced from the above passage?

$\text{(i)}$ Nowadays, computers are present in almost all places.

$\text{(ii)}$ Computers cannot be used for solving problems in engineering.

$\text{(iii)}$ For humans, there are both positive and negative effects of using computers.

$\text{(iv)}$ Artificial intelligence can be done without data.

$\text{(ii) and (iii)}$
$\text{(ii) and (iv)}$
$\text{(i), (iii) and (iv)}$
$\text{(i) and (iii)}$

GATE ES 2021 | GA Question: 8

Tue, 14 Mar 2023 03:48:29 +0000

Consider a square sheet of side $1$ unit. In the first step, it is cut along the main diagonal to get two triangles. In the next step, one of the cut triangles is revolved about its short edge to form a solid cone. The volume of the resulting cone, in cubic units, is________

$\frac{\pi}{3}$
$\frac{2 \pi}{3}$
$\frac{3 \pi}{2}$
$3 \pi$

GATE ES 2021 | GA Question: 9

Tue, 14 Mar 2023 03:48:28 +0000

The number of minutes spent by two students, $X$ and $Y$, exercising every day in a given week are shown in the bar chart above.

The number of days in the given week in which one of the students spent a minimum of $10 \%$ more than the other student, on a given day, is

GATE ES 2021 | GA Question: 10

Tue, 14 Mar 2023 03:48:27 +0000

Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above.

The ratio of the area of the regular convex hexagon to the area of the original equilateral triangle is

$2: 3$
$3: 4$
$4: 5$
$5: 6$

GATE ES 2021 | Question: 21

Tue, 14 Mar 2023 03:44:28 +0000

Consider the following equation:
$x^{3}-10 x^{2}+31 x-30=0$
Which of the following is/are the root(s) of the above equation?

GATE ES 2021 | Question: 41

Tue, 14 Mar 2023 03:43:59 +0000

If $f(x)+3 f(g(x))=x-2$
where $g(x)=\frac{3 x+1}{x-3}$
then the value of the ratio $\frac{f(5)}{f(8)}$ is _________.

$\text{(answer in integer)}$