XAT QA Questions 2027: Topic-wise Practice Questions with Answers & PYQs

Overview: Looking for XAT QA questions you can practice right now? This page gives you topic-wise Quantitative Ability + DI questions with answers, PYQ-based weightage, and a focused list of high-return topics for XAT 2027.

This guide compiles XAT QA questions (Quant + DI) by topic Arithmetic, Algebra, Geometry, Number System, Modern Math and DI—along with answers, PYQ insights, and accuracy tips for XAT 2027.

For students preparing for XAT, practicing XAT Quant Questions can be very useful because topics like Arithmetic, Algebra, Geometry, Number System, and Data Interpretation are common in both exams.

In this blog, you will find topic-wise XAT QA Questions, important topics, expected weightage, sample questions with answers, preparation tips, and common mistakes to avoid.

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Table of Contents

1. What are XAT QA Questions?
2. XAT Quantitative Ability Section Overview
3. Topic-wise Weightage of XAT QA Questions
4. Importance of Practicing XAT QA Questions
5. Important Topics for XAT Quant Questions
6. Sample XAT QA Questions with Answers
7. XAT vs CAT Quant Questions
8. Tips to Improve Accuracy in XAT QA Questions
9. Common Mistakes Students Make
10. Conclusion

What are XAT QA Questions?

XAT QA Questions are the quantitative aptitude and data interpretation questions asked in the XAT exam. These questions check how well you understand basic and advanced maths concepts and how quickly you can apply them in exam-level problems.

The section usually includes XAT quantitative aptitude questions from Arithmetic, Algebra, Geometry, Mensuration, Number System, Modern Maths, and Data Interpretation.

XAT Quantitative Ability Section Overview

Particulars	Details
Section Name	Quantitative Ability & Data Interpretation
Question Type	MCQ-based Questions
Difficulty Level	Moderate to Difficult
Major Topics	Arithmetic, Algebra, Geometry, Number System, Modern Maths, DI
Skills Tested	Calculation Speed, Concept Clarity, Logic, Data Analysis

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Topic-wise Weightage of XAT QA Questions

Topic	Expected Questions	Priority Level
Arithmetic	8-10	High
Algebra	6-8	High
Geometry & Mensuration	4-6	High
Data Interpretation	4-6	Moderate to High
Number System	2-4	Moderate
Modern Maths	2-3	Moderate

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Importance of Practicing XAT QA Questions

• Helps you understand the actual XAT question pattern.
• Improves speed and accuracy in Quant and DI questions.
• Builds confidence for solving moderate and difficult questions.
• Helps identify strong and weak areas before the exam.
• Supports preparation for CAT and other MBA entrance exams.
• Improves your overall XAT percentile with consistent practice.

Important Topics for XAT Quant Questions

Topic	Sub-topics to Cover
Arithmetic	Percentages, Profit & Loss, Time & Work, TSD, Ratio, SI-CI
Algebra	Linear Equations, Quadratic Equations, Inequalities, Logs, Functions
Geometry	Triangles, Circles, Quadrilaterals, Coordinate Geometry, Mensuration
Number System	Divisibility, Remainders, HCF-LCM, Factors, Base System
Modern Maths	Probability, Permutation & Combination, Set Theory
Data Interpretation	Tables, Pie Charts, Bar Graphs, Line Graphs, Caselets

Sample XAT QA Questions with Answers

Arithmetic

Q1. A sum of money becomes ₹12,000 in 2 years at 20% simple interest. What is the principal amount?

A. ₹9,000
B. ₹10,000
C. ₹8,500
D. ₹9,500

Answer: B. ₹10,000

Q2. A person covers a distance of 120 km in 3 hours. What is the speed?

A. 30 km/hr
B. 40 km/hr
C. 50 km/hr
D. 60 km/hr

Answer: B. 40 km/hr

Q3. Find the average of the first 5 odd numbers.

A. 4
B. 5
C. 6
D. 7

Answer: B. 5

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Q4. A man spends 80% of his income. If his income is Rs. 40,000, what is his savings?

A. Rs. 6,000
B. Rs. 7,000
C. Rs. 8,000
D. Rs. 9,000

Answer: C. Rs. 8,000

Q5. A train travels 60 km in 1.5 hours. What is the speed in km/hr?

A. 30
B. 35
C. 40
D. 45

Answer: C. 40

Algebra

Q6. If x² − 9x + 20 = 0, find the value of x.

A. 4 or 5
B. 2 or 10
C. 1 or 20
D. 3 or 6

Answer: A. 4 or 5

Q7. If a−b=3a - b = 3a−b=3 and ab=10ab = 10ab=10, find the value of a2+b2a^2 + b^2a2+b2.

A. 19
B. 29
C. 39
D. 49

Answer: B. 29

Q8. Find the value of xxx if x2−9x+20=0x^2 - 9x + 20 = 0x2−9x+20=0.

A. 4, 5
B. 2, 10
C. 3, 6
D. 1, 20

Answer: A. 4, 5

Q9. If x+1x=4x + \frac{1}{x} = 4x+x1=4, then find x3+1x3x^3 + \frac{1}{x^3}x3+x31.

A. 64
B. 52
C. 58
D. 60

Answer: B. 52

Q10. If x2+y2=34x^2 + y^2 = 34x2+y2=34 and xy=12xy = 12xy=12, find (x+y)2(x + y)^2(x+y)2.
A. 49
B. 34
C. 58
D. 64

Answer: A. 49

Geometry

Q11. What is the area of a circle with radius 7 cm?

A. 154 sq cm
B. 144 sq cm
C. 164 sq cm
D. 174 sq cm

Answer: A. 154 sq cm

Q12. Two diagonals of a parallelogram intersect each other at coordinates (17.5, 23.5). Two adjacent points of the parallelogram are (5.5, 7.5) and (13.5, 16). Find the lengths of the diagonals.

A. 14 and 10
B. 15 and 20
C. 16 and 30
D. 17 and 40

Answer: D. 17 and 40

Q13. What is the inradius of a triangle with area 84 cm² and semi-perimeter 14 cm?

A. 1cm
B. 3cm
C. 6cm
D. 9cm

Answer: C. 6cm

Q14. The sides of a triangle are 10 cm, 24 cm, and 26 cm. What is the radius of the incircle?

A. 6 cm
B. 4 cm
C. 5 cm
D. 7 cm

Answer: B. 4 cm

Q15. In a circle, two chords AB and CD are equidistant from the center. If AB = 12 cm, then CD is:

A. 12 cm
B. 11 cm
C. 10 cm
D. 9cm

Answer: A. 12 cm

Number System

Q16. Find the HCF of 24 and 36.

A. 6
B. 8
C. 12
D. 18

Answer: C. 12

Q17. Find the unit digit of 71037^{103}7103

A. 3
B. 7
C. 9
D. 1

Answer: C. 9

Q18. What is the sum of first 50 even natural numbers?

A. 2550
B. 2600
C. 2400
D. 2450

Answer: A. 2550

Q19. Which of the following is not a prime number?

A. 97
B. 89
C. 77
D. 83

Answer: C. 77

Q20. What is the sum of all single-digit prime numbers?

A. 15
B. 17
C. 18
D. 19

Answer: B. 17

Q21. How many even numbers are there between 101 and 200 (both exclusive)?

A. 49
B. 50
C. 99
D. 100

Answer: A. 49

Q22. A student scores 60, 70, 80, and 90 marks in four tests. What is the average score?

A. 70
B. 75
C. 80
D. 85

Answer: B. 75

XAT vs CAT Quant Questions

Feature	XAT	CAT
Question Style	Concept + Calculation Based	Logic + Concept Based
DI Placement	Mixed with QA	Separate LRDI Section
Geometry Focus	Usually Higher	Moderate
Difficulty Level	Moderate to Difficult	Moderate to Difficult

Tips to Improve Accuracy in XAT QA Questions

Tip	How It Helps
Revise Formulas	Helps solve questions faster and reduces calculation mistakes.
Solve Previous Year Papers	Helps understand the real difficulty level and question pattern.
Start with Easy Questions	Improves confidence and saves time for difficult questions.
Take Sectional Tests	Improves speed, accuracy, and time management.
Analyze Mistakes	Helps you avoid repeating the same errors in mocks and exams.

Common Mistakes Students Make in XAT Maths Questions

• Ignoring Data Interpretation practice.
• Spending too much time on one difficult question.
• Not revising formulas before mocks.
• Avoiding Geometry and Algebra due to fear.
• Attempting questions without reading them carefully.
• Not analyzing mock test performance properly.

Conclusion

XAT QA Questions can become a strong scoring area if you prepare with the right approach. Start with basic concepts, practice topic-wise questions, solve XAT previous year papers, and take mock tests regularly.

Focus more on Arithmetic, Algebra, Geometry, and Data Interpretation, as these areas usually carry good weightage in the exam. With consistent preparation and smart revision, you can improve your accuracy and boost your XAT 2026 score.