GATE Overflow for GATE ESE - Recent questions in Analytical Aptitude

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: 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 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 | 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: 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: 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 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 2022 | GA Question: 4

Fri, 17 Feb 2023 06:57:01 +0000

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?

GATE ES 2022 | GA Question: 6

Fri, 17 Feb 2023 06:56:59 +0000

Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used genetically modified mosquitoes to control the overall mosquito population. It remains to be seen if this novel approach has unforeseen consequences.
Which one of the following is the correct logical inference based on the information in the above passage?

Using chemicals to kill mosquitoes is better than using genetically modified mosquitoes because genetic engineering is dangerous
Using genetically modified mosquitoes is better than using chemicals to kill mosquitoes because they do not have any side effects
Both using genetically modified mosquitoes and chemicals have undesired consequences and can be dangerous
Using chemicals to kill mosquitoes may have undesired consequences but it is not clear if using genetically modified mosquitoes has any negative consequence

GATE ES 2022 | GA Question: 8

Fri, 17 Feb 2023 06:56:57 +0000

Four points $\mathrm{P}(0,1), \mathrm{Q}(0,-3), \mathrm{R}(-2,-1)$, and $\mathrm{S}(2,-1)$ represent the vertices \\
of a quadrilateral.

What is the area enclosed by the quadrilateral?

$4$
$4 \sqrt{2}$
$8$
$8 \sqrt{2}$

GATE ES 2022 | GA Question: 9

Fri, 17 Feb 2023 06:56:56 +0000

In a class of five students $\text{P, Q, R, S}$ and $\text{T}$, only one student is known to have copied in the exam. The disciplinary committee has investigated the situation and recorded the statements from the students as given below.

Statement of $\mathbf{P}: $\text{R}$ has copied in the exam.

Statement of $\mathbf{Q}: \mathrm{S}$ has copied in the exam.

Statement of $\mathbf{R}: $\text{P}$ did not copy in the exam.

Statement of $\mathbf{S}$: Only one of us is telling the truth.

Statement of $\mathbf{T}$: $\mathrm{R}$ is telling the truth.

The investigating team had authentic information that S never lies.
Based on the information given above, the person who has copied in the exam is

$\mathrm{R}$
$\mathrm{P}$
$\mathrm{Q}$
$\mathrm{T}$