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

GATE XE 2026 | GA | Question: 1

Tue, 24 Feb 2026 16:02:39 +0000

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

GATE XE 2026 | GA | Question: 3

Tue, 24 Feb 2026 16:02:04 +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 XE 2026 | GA | Question: 4

Tue, 24 Feb 2026 16:02:01 +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 XE 2026 | GA | Question: 5

Tue, 24 Feb 2026 16:01:43 +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 XE 2026 | GA | Question: 6

Tue, 24 Feb 2026 16:01:24 +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 XE 2026 | GA | Question: 7

Tue, 24 Feb 2026 16:01:16 +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 XE 2026 | GA | Question: 8

Tue, 24 Feb 2026 16:01:11 +0000

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

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

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

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

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

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

GATE XE 2026 | GA | Question: 10

Tue, 24 Feb 2026 16:00:49 +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 XE 2026 | Question: 150

Tue, 24 Feb 2026 15:21:28 +0000

If $20$ wave crests pass a fixed point in an interval of $5$ minutes, then the frequency of the wave (in Hertz) is $\_\_\_\_$. (rounded off to three decimal places)

GATE XE 2026 | Question: 154

Tue, 24 Feb 2026 15:19:56 +0000

A body radiates heat at a rate of $5$ $\text{cal m}^{-2} \text{s}^{-1}$, when its temperature is $227^{\circ} \mathrm{~C}$ Which of the following is the correct value of the heat (in $\text{cal m}^{-2} \text{s}^{-1})$ radiated by the same body at a temperature of $727^{\circ} \mathrm{~C}$?

$25$
$80$
$150$
$625$

GATE XE 2026 | Question: 172

Tue, 24 Feb 2026 15:13:44 +0000

An energy conservation project requires an initial investment of ₹$50,000$ with an expected annual operation and maintenance cost of ₹$5,000$. This project is expected to reduce the monthly energy cost by ₹$1,250$. The simple payback period (in years) is $\_\_\_\_$ (Answer in integer)

GATE XE 2026 | Question: 179

Tue, 24 Feb 2026 15:11:33 +0000

A radioactive isotope sample has a decay constant $\lambda= 2.31 \times 10^{-4} \text{year}^{-1}$. Initially the sample contains $8000 \times 10^{15}$ atoms. The sample decays to $25 \%$ of its initial value. The number of years it takes to decay to this stage is closest to ________.

$3000$
$6000$
$900$
$2600$

GATE XE 2025 | Question: 2

Sun, 04 May 2025 19:09:09 +0000

The President, along with the Council of Ministers, $\_\_\_\_\_\_\_$ to visit India next week.

Select the most appropriate option to complete the above sentence.

wish
wishes
will wish
is wishing

GATE XE 2025 | Question: 3

Sun, 04 May 2025 19:09:07 +0000

An electricity utility company charges ₹$7$ per kWh (kilo watt-hour). If a $40$ -watt desk light is left on for $10$ hours each night for $180$ days, what would be the cost of energy consumption? If the desk light is on for $2$ more hours each night for the $180$ days, what would be the percentage-increase in the cost of energy consumption?

₹ $604.8 ; 10 \%$
₹ $504 ; 20 \%$
₹ $604.8 ; 12 \%$
₹ $720 ; 15 \%$

GATE XE 2025 | Question: 4

Sun, 04 May 2025 19:09:05 +0000

In the context of the given figure, which one of the following options correctly represents the entries in the blocks labelled $\text{(i), (ii), (iii)}$, and $\text{(iv)}$, respectively?

$\mathrm{Q}, \mathrm{M}, 12$, and $8$
$\mathrm{K}, \mathrm{L}, 10$ and $14$
$\mathrm{I}, \mathrm{J}, 10$, and $8$
$\mathrm{L}, \mathrm{K}, 12$ and $8$

GATE XE 2025 | Question: 5

Sun, 04 May 2025 19:09:02 +0000

A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, the following results are obtained:

The sum of Yellow balls and twice the number of Violet balls is $50$.
The sum of Violet and Green balls is $50$.
The sum of Yellow and Red balls is $50$.
The sum of Violet and twice the number of Red balls is $50$.

Which one of the following Pie charts correctly represents the balls in the bag?

GATE XE 2025 | Question: 6

Sun, 04 May 2025 19:08:59 +0000

"His life was divided between the books, his friends, and long walks. A solitary man, he worked at all hours without much method, and probably courted his fatal illness in this way. To his own name there is not much to show; but such was his liberality that he was continually helping others, and fruits of his erudition are widely scattered, and have gone to increase many a comparative stranger's reputation."

(From E.V. Lucas's "A Funeral")

Based only on the information provided in the above passage, which one of the following statements is true?

The solitary man described in the passage is dead.
Strangers helped create a grand reputation for the solitary man described in the passage.
The solitary man described in the passage found joy in scattering fruits.
The solitary man worked in a court where he fell ill.

GATE XE 2025 | Question: 7

Sun, 04 May 2025 19:08:56 +0000

For the clock shown in the figure, if

$ \begin{array}{l} \mathrm{O}^{*}=\mathrm{~O} \mathrm{~Q} \mathrm{~S} \mathrm{~Z} \mathrm{~P} \mathrm{~R} \mathrm{~T}, \text { and } \\
\mathrm{X}^{*}=\mathrm{~X} \mathrm{~Z} \mathrm{~P} \mathrm{~W} \mathrm{~Y} \mathrm{~O} \mathrm{~Q}, \end{array}$

then which one among the given options is most appropriate for $\mathrm{P}^{*}?$

$\mathrm{P} \mathrm{~U} \mathrm{~W} \mathrm{~R} \mathrm{~T} \mathrm{~V} \mathrm{~X}$
$\mathrm{P} \mathrm{~R} \mathrm{~T} \mathrm{~O} \mathrm{~Q} \mathrm{~S} \mathrm{~U}$
$\mathrm{P} \mathrm{~T} \mathrm{~V} \mathrm{~Q} \mathrm{~S} \mathrm{~U} \mathrm{~W}$
$\mathrm{P} \mathrm{~S} \mathrm{~U} \mathrm{~P} \mathrm{~R} \mathrm{~T} \mathrm{~V}$

GATE XE 2025 | Question: 8

Sun, 04 May 2025 19:08:54 +0000

Consider a five-digit number $PQRST$ that has distinct digits $P,Q,R,S$, and $T$, and satisfies the following conditions:

$$\begin{array}{c} P<Q \\ S>P>T \\ R<T \end{array}$$

If integers $1$ through $5$ are used to construct such a number, the value of $P$ is:

GATE XE 2025 | Question: 9

Sun, 04 May 2025 19:08:52 +0000

A business person buys potatoes of two different varieties $\text{P}$ and $\text{Q}$, mixes them in a certain ratio and sells them at ₹ $192$ per kg.

The cost of the variety $\text{P}$ is ₹ $800$ for $5$ kg.

The cost of the variety $\text{Q}$ is ₹ $800$ for $4$ kg.

If the person gets $8 \%$ profit, what is the $\text{P:Q}$ ratio (by weight)?

$5:4$
$3:4$
$3:2$
$1:1$

GATE XE 2025 | Question: 94

Sun, 04 May 2025 19:05:53 +0000

A tank of $4 \: \mathrm{~m}^{3}$ contains an ideal gas mixture of $60 \%$ hydrogen and $40 \%$ nitrogen by volume at $100 \: \mathrm{kPa}$ and $300 \: \mathrm{K}$. Nitrogen is added to the tank such that the composition changes to $50 \%$ nitrogen by volume, with a final temperature of $300 \: \mathrm{K}$. The amount of nitrogen (in $\mathrm{kmol}$) to be added is $\_\_\_\_\_\_$ (rounded off to three decimal places).

Use: Universal gas constant $\left(R_{u}\right)=8.314 \mathrm{~kJ} / \mathrm{kmol}-\mathrm{K}$

GATE XE 2024 | GA Question: 1

Sun, 21 Jul 2024 16:37:17 +0000

If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words $[$ walk $\rightarrow \mathrm{jog} \rightarrow$ sprint] is analogous to [bothered $\rightarrow$ __________ $\rightarrow$ daunted]. Which one of the given options is appropriate to fill the blank?

phased
phrased
fazed
fused

GATE XE 2024 | GA Question: 2

Sun, 21 Jul 2024 16:37:16 +0000

Two wizards try to create a spell using all the four elements, water, air, fire, and earth. For this, they decide to mix all these elements in all possible orders. They also decide to work independently. After trying all possible combination of elements, they conclude that the spell does not work.

How many attempts does each wizard make before coming to this conclusion, independently?

$24$
$48$
$16$
$12$

GATE XE 2024 | GA Question: 3

Sun, 21 Jul 2024 16:37:16 +0000

In an engineering college of $10,000$ students, $1,500$ like neither their core branches nor other branches. The number of students who like their core branches is $1 / 4^{\text {th }}$ of the number of students who like other branches. The number of students who like both their core and other branches is $500$.
The number of students who like their core branches is

$1,800$
$3,500$
$1,600$
$1,500$

GATE XE 2024 | GA Question: 4

Sun, 21 Jul 2024 16:37:15 +0000

For positive non-zero real variables $x$ and $y$, if
\[
\ln \left(\frac{x+y}{2}\right)=\frac{1}{2}[\ln (x)+\ln (y)]
\]
then, the value of $\frac{x}{y}+\frac{y}{x}$ is

$1$
$1 / 2$
$2$
$4$

GATE XE 2024 | GA Question: 5

Sun, 21 Jul 2024 16:37:14 +0000

In the sequence $6,9,14, x, 30,41$, a possible value of $x$ is

$25$
$21$
$18$
$20$

GATE XE 2024 | GA Question: 6

Sun, 21 Jul 2024 16:37:14 +0000

Sequence the following sentences in a coherent passage.

P: This fortuitous geological event generated a colossal amount of energy and heat that resulted in the rocks rising to an average height of 4 km across the contact zone.

Q: Thus, the geophysicists tend to think of the Himalayas as an active geological event rather than as a static geological feature.

R: The natural process of the cooling of this massive edifice absorbed large quantities of atmospheric carbon dioxide, altering the earth's atmosphere and making it better suited for life.

S: Many millennia ago, a breakaway chunk of bedrock from the Antarctic Plate collided with the massive Eurasian Plate.

$\text{QPSR}$
$\text{QPSR}$
$\text{QPSR}$
$\text{QPSR}$

GATE XE 2024 | GA Question: 7

Sun, 21 Jul 2024 16:37:14 +0000

A person sold two different items at the same price. He made $10 \%$ profit in one item, and $10 \%$ loss in the other item. In selling these two items, the person made a total of

$1 \%$ profit
$2 \%$ profit
$1 \%$ loss
$2 \%$ loss

GATE XE 2024 | GA Question: 8

Sun, 21 Jul 2024 16:37:13 +0000

The pie charts depict the shares of various power generation technologies in the total electricity generation of a country for the years $2007$ and $2023$.

The renewable sources of electricity generation consist of Hydro, Solar and Wind. Assuming that the total electricity generated remains the same from $2007$ to $2023$, what is the percentage increase in the share of the renewable sources of electricity generation over this period?

$25\%$
$50\%$
$77.5\%$
$62.5\%$

GATE XE 2024 | GA Question: 9

Sun, 21 Jul 2024 16:37:13 +0000

A cube is to be cut into $8$ pieces of equal size and shape. Here, each cut should be straight and it should not stop till it reaches the other end of the cube.

The minimum number of such cuts required is

GATE XE 2024 | GA Question: 10

Sun, 21 Jul 2024 16:37:13 +0000

In the $4 \times 4$ array shown below, each cell of the first three rows has either a cross $(\mathrm{X})$ or a number.

The number in a cell represents the count of the immediate neighboring cells $\text{(left, right, top, bottom, diagonals)}$ NOT having a cross $(X)$. Given that the last row has no crosses $(X)$, the sum of the four numbers to be filled in the last row is

$11$
$10$
$12$
$9$

GATE XE 2023 | Question: 35

Wed, 14 Feb 2024 18:09:48 +0000

GATE XE 2023 | Question: 61

Wed, 14 Feb 2024 18:09:23 +0000

GATE XE 2023 | Question: 63

Wed, 14 Feb 2024 18:09:22 +0000

GATE XE 2023 | GA Question: 1

Tue, 13 Feb 2024 18:01:53 +0000

The village was nestled in a green spot,___________ the ocean and the hills.

through
in
at
between

GATE XE 2023 | GA Question: 2

Tue, 13 Feb 2024 18:01:53 +0000

Disagree : Protest : : Agree : _______
$\text{(By word meaning)}$

Refuse
Pretex
Recommend
Refute

GATE XE 2023 | GA Question: 3

Tue, 13 Feb 2024 18:01:52 +0000

A 'frabjous' number is defined as a $3$ digit number with all digits odd, and no two adjacent digits being the same. For example, $137$ is a frabjous number, while $133$ is not. How many such frabjous numbers exist?

$125$
$720$
$60$
$80$

GATE XE 2023 | GA Question: 4

Tue, 13 Feb 2024 18:01:51 +0000

Which one among the following statements must be TRUE about the mean and the median of the scores of all candidates appearing for GATE 2023?

The median is at least as large as the mean.
The mean is at least as large as the median.
At most half the candidates have a score that is larger than the median.
At most half the candidates have a score that is larger than the mean.

GATE XE 2023 | GA Question: 5

Tue, 13 Feb 2024 18:01:50 +0000

In the given diagram, ovals are marked at different heights $(h)$ of a hill. Which one of the following options $\mathbf{P}, \mathbf{Q}, \mathbf{R}$, and $\mathbf{S}$ depicts the top view of the hill?

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

GATE XE 2023 | GA Question: 6

Tue, 13 Feb 2024 18:01:49 +0000

Residency is a famous housing complex with many well-established individuals among its residents. A recent survey conducted among the residents of the complex revealed that all of those residents who are well established in their respective fields happen to be academicians. The survey also revealed that most of these academicians are authors of some best-selling books

Based only on the information provided above, which one of the following statements can be logically inferred with certainty?

Some residents of the complex who are well established in their fields are also authors of some best-selling books.
All academicians residing in the complex are well established in their fields.
Some authors of best-selling books are residents of the complex who are well established in their fields.
Some academicians residing in the complex are well established in their fields.

GATE XE 2023 | GA Question: 7

Tue, 13 Feb 2024 18:01:47 +0000

Ankita has to climb 5 stairs starting at the ground, while respecting the following rules:
1. At any stage, Ankita can move either one or two stairs up.
2. At any stage, Ankita cannot move to a lower step.

Let $F(N)$ denote the number of possible ways in which Ankita can reach the $N^{\text {th }}$ stair. For example, $F(1)=1, F(2)=2, F(3)=3$.

The value of $F(5)$ is

GATE XE 2023 | GA Question: 8

Tue, 13 Feb 2024 18:01:45 +0000

The information contained in DNA is used to synthesize proteins that are necessary for the functioning of life. DNA is composed of four nucleotides: Adenine (A), Thymine (T), Cytosine (C), and Guanine (G). The information contained in DNA can then be thought of as a sequence of these four nucleotides: A, T, C, and G. DNA has coding and non-coding regions. Coding regions-where the sequence of these nucleotides are read in groups of three to produce individual amino
acids - constitute only about $2 \%$ of human DNA. For example, the triplet of nucleotides CCG codes for the amino acid glycine, while the triplet GGA codes for the amino acid proline. Multiple amino acids are then assembled to form a protein.

Based only on the information provided above, which of the following statements can be logically inferred with certainty

(i) The majority of human DNA has no role in the synthesis of proteins.
(ii) The function of about $98 \%$ of human DNA is not understood.

only (i)
only (ii)
both (i) and (ii)
neither (i) nor (ii)

GATE XE 2023 | GA Question: 10

Tue, 13 Feb 2024 18:01:42 +0000

An opaque cylinder $\text{(shown below)}$ is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The cylinder can be reoriented in any direction within the light beam. Under these conditions, which one of the shadows $\mathbf{P}, \mathbf{Q}, \mathbf{R}$, and $\mathbf{S}$ is NOT possible?

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

GATE XE 2022 | GA Question: 1

Wed, 15 Feb 2023 12:54:12 +0000

The movie was funny and I __________.

could help laughing
couldn't help laughed
couldn't help laughing
could help laughed

GATE XE 2022 | GA Question: 2

Wed, 15 Feb 2023 12:54:11 +0000

$x: y: z=\frac{1}{2}: \frac{1}{3}: \frac{1}{4}$.

What is the value of $\frac{x+z-y}{y}$ ?

$0.75$
$1.25$
$2.25$
$3.25$

GATE XE 2022 | GA Question: 3

Wed, 15 Feb 2023 12:54:11 +0000

Both the numerator and the denominator of $\frac{3}{4}$ are increased by a positive integer, $x$, and those of $\frac{15}{17}$ are decreased by the same integer. This operation results in the same value for both the fractions.
What is the value of $x$?

GATE XE 2022 | GA Question: 5

Wed, 15 Feb 2023 12:54:09 +0000

For the picture shown above, which one of the following is the correct picture representing reflection with respect to the mirror shown as the dotted line?

GATE XE 2022 | GA Question: 6

Wed, 15 Feb 2023 12:54:08 +0000

In the last few years, several new shopping malls were opened in the city. The total number of visitors in the malls is impressive. However, the total revenue generated through sales in the shops in these malls is generally low.

Which one of the following is the CORRECT logical inference based on the information in the above passage?

Fewer people are visiting the malls but spending more
More people are visiting the malls but not spending enough
More people are visiting the malls and spending more
Fewer people are visiting the malls and not spending enough

GATE XE 2022 | GA Question: 7

Wed, 15 Feb 2023 12:54:07 +0000

In a partnership business the monthly investment by three friends for the first six months is in the ratio $3: 4: 5$. After six months, they had to increase their monthly investments by $10 \%, 15 \%$ and $20 \%$, respectively, of their initial monthly investment. The new investment ratio was kept constant for the next six months.

What is the ratio of their shares in the total profit $\text{(in the same order)}$ at the end of the year such that the share is proportional to their individual total investment over the year?

$22: 23: 24
$22: 33: 50
$33: 46: 60
$63: 86: 110$

GATE XE 2022 | GA Question: 8

Wed, 15 Feb 2023 12:54:06 +0000

Consider the following equations of straight lines:
$\text { Line L1: } 2 x-3 y=5$
$\text { Line L2: } 3 x+2 y=8$
$\text { Line L3: } 4 x-6 y=5$
$\text { Line L4: } 6 x-9 y=6$

Which one among the following is the correct statement?

$\text {L1 is parallel to L2 and L1 is perpendicular to L3 }$
$\text{L2 is parallel to L4 and L2 is perpendicular to L1}$
$\text {L3 is perpendicular to L4 and L3 is parallel to L2 }$
$\text{L4 is perpendicular to L2 and L4 is parallel to L3}$