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

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: 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 | 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 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: 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 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: 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: 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: 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 | 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: 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 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: 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: 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?

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

GATE XE 2022 | GA Question: 9

Wed, 15 Feb 2023 12:54:05 +0000

Given below are two statements and four conclusions drawn based on the statements.

Statement 1: Some soaps are clean.

Statement 2: All clean objects are wet.

Conclusion I: Some clean objects are soaps.

Conclusion II: No clean object is a soap.

Conclusion III: Some wet objects are soaps.

Conclusion IV: All wet objects are soaps.

Which one of the following options can be logically inferred?

Only conclusion $\text{I}$ is correct
Either conclusion $\text{I}$ or conclusion $\text{II}$ is correct
Either conclusion $\text{III}$ or conclusion $\text{IV}$ is correct
Only conclusion $\text{I}$ and conclusion $\text{III}$ are correct