XAT 2025 Question Papers With Solutions Released: Download PDF And Analyze for Success

XAT Question Paper 2025 (Memory Based Questions)

Q. If $\frac{x^2 \log _a 16}{\log _a 32}-\frac{\log _a 64}{\log _a 32}-x=0$. Find $x$

Sol.

Let $\log _a 2=m$. Using logarithmic properties:
- $\log _a 16=\log _a\left(2^4\right)=4 m$,
- $\log _a 32=\log _a\left(2^5\right)=5 m$,
- $\log _a 64=\log _a\left(2^6\right)=6 m$.

Substitute these into the equation:

$
\frac{x^2 \cdot 4 m}{5 m}-\frac{6 m}{5 m}-x=0
$
Simplify:

$
\frac{4 x^2}{5}-\frac{6}{5}-x=0
$
$4 x^2-5 x-6=0$

Use the quadratic formula:

$
x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a}
$

where $a=4, b=-5, c=-6$. Substitute these values:

$
x=\frac{-(-5) \pm \sqrt{(-5)^2-4(4)(-6)}}{2(4)} .
$
Simplify:

$
\begin{gathered}
x=\frac{5 \pm \sqrt{25+96}}{8}, \\
x=\frac{5 \pm \sqrt{121}}{8} \\
x=\frac{5 \pm 11}{8} .
\end{gathered}
$
1. $x=\frac{5+11}{8}=\frac{16}{8}=2$,
2. $x=\frac{5-11}{8}=\frac{-6}{8}=-\frac{3}{4}$.

$x$ can't be negative. Hence the required answer is 2.

Q. If the perimeter of a circle and a square are equal, then what is the ratio of the area of the square to that of the circle?

Sol.

The ratio of the area of the square to the area of the circle is:

$
\text { Ratio }=\frac{A_{\text {square }}}{A_{\text {circle }}}=\frac{\frac{\pi^2 r^2}{4}}{\pi r^2}
$
Simplify:

$
\text { Ratio }=\frac{\pi^2 r^2}{4 \pi r^2}=\frac{\pi}{4}
$

Q. ABCD is a rectangle whose two vertices are (-2,0) and (2,0). The area of a rectangle is 24. What can be the equation of line AB?

Sol:

The rectangle lies in a 2D plane, and $(-2,0)$ and $(2,0)$ are two vertices of one of its sides, which is along the $x$-axis. Thus:
- The length of side $A B$ (or $C D$ ) is the distance between $(-2,0)$ and $(2,0)$ :

$
\text { Length of } A B=2-(-2)=4
$

- Let the other side of the rectangle (height) have length $h$. Then, the area of the rectangle is given by:

$
\text { Area }=\text { Length } \times \text { Height }=4 \times h=24
$
Solving for $h$ :

$
h=6 .
$

Hence, the equation of line is $y=6$

Q. Who won the Nobel Peace Prize in 2024?

Ans. Nihon Hidankyo

Q. An item was broken in the ratio 4:9. The market value of the item is directly proportional to the length of the item. Find the percentage of loss incurred due to this.

Ans. 42.6

Q. Ramesh bought a mobile from a local store. He paid $1 / 6$ of the price via UPI and $1 / 3$ of the price via cash. He agreed to pay the balance amount a year later. While paying back the balance amount, Ramesh paid 10% interest on the balance amount. If the interest paid was Rs. 6000 , what was the original price of the mobile?

Ans. 120000

XAT Question Paper 2025: Analysis

The XAT exam 2025 question paper analysis is important for the candidates as it can be very helpful for the candidates in various ways. XAT 2025 analysis helps the candidates to understand the XAT exam trends by focusing on important aspects of the examinations such as difficulty levels, and section-wise focus areas. The candidates also can use the XAT 2025 analysis and compare their performance against the overall analysis to understand their performance in the XAT exam.

XAT Exam 2025 Analysis: Quantitative Ability and Data Interpretation

• According to the initial responses of the candidates and XAT analysis 2025, the candidates have found the Quantitative Ability and Data Interpretation of the XAT 2025 exam to be on slightly the difficult side when compared with the XAT 2024 examination.
• The number of questions in the arithmetic section was also lesser when compared to XAT 2024, the XAT 2025 analysis revealed.
• There was a question on scatter plot based on male and female data of 2025. This question was observed to be on the easier side, XAT 2025 analysis says.
• Algebra section of the Quantitative Ability section of the XAT 2025 exam was seen to be probability dominating.
• There questions on Geometry was also more in number.
• There was also one question on irrational roots asked in the Data Interpretation of the XAT 2025 exam according to the latest XAT 2025 analysis.
• In quantitative aptitude section there were questions which required the candidates to use multiple concepts such as probability and quadratic equation to solve.
• There was a question on puzzles where the candidates had to find the maximum number of turns before the match gets over.
• One question on DI involved finding the shortest path in a triangle. Math-based DI questions are not commonly asked in XAT and this was a change from the previous years.
• There were some optimization-based question on average.
• One XAT Quantitative Aptitude question required the candidates to on the volume of a frustum and the cost of gold required to cover it.

XAT Question Paper 2025 Analysis: Verbal and Logical Ability

• Questions from the Reading Comprehension section dominated the Verbal and Logical Ability section of the XAT 2025 examination.
• Parajumbles were not straightforward and required more time to solve according to the XAT 2025 analysis.
• There was a comic based question in the Verbal Ability section involving dialogues. This was a description based question which is rarely found in the XAT exam.
• 2 Reading Comprehension passages were of doable difficulty.
• The pattern of the Verbal Ability section was similar to the previous years.
• One Reading Comprehension passage on rodent was very difficult.

XAT Question Paper 2025 Analysis: XAT Decision-Making

• According to the latest XAT 2025 analysis, the sets asked in the Decision Making section was easy to doable in nature but were lengthy.
• The Decision Making section was observed to be slightly different than the XAT 2024 exam.
• A lot of information was given in the DM section of the XAT, making it more lengthy.
• One Decision Making question was based on a candidate in dilemma of choosing which among the full time MBA or an Executive MBA is better.
• One DM based on market was given and it required the candidates to answer on sales, marketing and outsourcing.
• One DM question was based on hiring the teachers on specific trainers.

XAT Question Paper 2025 Analysis: XAT General Knowledge

• The General Knowledge section of the XAT 2025 examination was on the easier side and involved questions from the topics such as awards and honors, famous personalities who passed away in 2024 and so on.
• The questions were direct and straightforward and as per the responses of the candidates, it was the easiest section of all.

XAT Question Paper 2025 Exam Pattern

The XAT examination has undergone major changes for the XAT 2025 examination. Some of the notable changes include the reduction in the XAT exam time from 210 minutes to 180 minutes. The XAT exam 2025 was conducted in the form of a Computer-Based Test and consists of two parts, an Aptitude Test and General Knowledge. The overview of the XAT 2025 examination is given below:

• The candidates should also note that the XAT Essay Writing section has been scrapped from XAT 2025 onwards. However, it will be a part of the XLRI selection process later.

• The number of questions asked in the XAT General Knowledge section has been reduced to 20 from 25.

• There are no sectional time limits in the XAT 2025.

XAT Exam Topic Wise Breakdown

The Xavier Aptitude Test consists of four major sections namely, Verbal Ability and Logical Reasoning, Decision Making, Quantitative Aptitude & Data Interpretation and General Knowledge. The section-wise breakdown of each section is given below for the reference of the candidates.

Verbal Ability and Logical Reasoning (VALR)

Verbal Ability and Logical Reasoning (VALR) is one of the easiest and also a scoring topic in the XAT examination. The candidates are asked 26 questions from this section. The most important XAT topics coming under this category are listed below for the reference of the candidates.

Decision Making (DM)

The decision-making section of the XAT examination requires the candidates to answer questions based on an individual’s personal and professional lives. The major goal of this section is to analyse the various skills of the candidates such as problem-solving skills, prioritization, and critical thinking which are essential in a business environment.

Quantitative Aptitude and Data Interpretation (QA & DI)

In the XAT 2025 examination, the Quantitative Aptitude and Data Interpretation section holds the greatest weightage with 28 questions. The major goal of the QA & DI section of the XAT examination is to examine the numerical ability and quantitative aptitude of the candidates. The skills of the candidates in solving mathematical problems on topics such as Geometry, modern maths, arithmetic, mensuration, algebra and so on are assessed in the XAT Quantitative Aptitude and Data Interpretation. A few of the important XAT topics on Quantitative Aptitude and Data Interpretation based on the previous year’s XAT question papers are given below:

General Knowledge

The General Knowledge of the XAT 2025 examination belongs to part B of the XAT examination and there is no negative marking in this section. The candidates are required to answer 20 questions in this section within a time limit of 20 minutes. The division of the XAT General Knowledge section is as follows:

• 8 questions on static GK.

• 12 questions on Current Affairs

XAT Question Paper 2025 and Solutions PDF

If a candidate wishes for a deeper analysis of the XAT 2025 question paper and answers to more questions, they can refer to this article written by experts of Careers360. Engaging in XAT 2025 analysis and understanding the XAT 2025 question paper will help the candidates to understand the overall XAT difficulty level and will also help the candidates to devise a potential XAT 2025 score in their mind.

Best XAT Preparation Materials

Choosing the right XAT preparation material is essential in determining the XAT success of a candidate. Given below is the set of the best XAT materials that can help the candidates bring a better XAT result.

Quantitative Aptitude and Data Interpretation (QA & DI)

Decision Making (DM)

Verbal Ability and Logical Reasoning (VALR)

General Knowledge