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How to Prepare for XAT Quant: Questions, Syllabus, Pattern, Books, Preparation Tips for XAT QA & DI

XAT Quantitative Aptitude or simply XAT Quant is a part of one section in this 3 hour long entrance exam, and an important part of XAT 2021 syllabus. XAT Quant is known to be the toughest part of this exam.

This section tests the candidate’s ability to solve numerical questions in a limited time without the use of a calculator. Candidates from and engineering background will find it easier to ace the Quant questions compared to aspirants with non engineering or mathematical background. Check XAT 2021 syllabus

  • XAT 2021 was conducted on 3rd Jan, 2021. There were 28 questions from XAT Quant & DI Section. Questions were of difficult level. Check XAT Exam Analysis
  • Sectional cutoff for XAT 2021 is expected to be 10-12 marks. Check XAT 2021 Cutoff for All Programs
  • 0.5 marks deducted for number of unattempted questions went down from 12 to 8.

Before discussing XAT Quantitative Aptitude in depth, let us understand the sectional breakup of the XAT paper. VARC has 26 questions, DM has 21 questions, QA DI and Data Interpretation has 27 questions, and General Knowledge has 25 questions.

As seen in the above points, the section with the highest number of questions is QA and DI.

Highlights of Quantitative Aptitude in XAT

Some important features of QA and DI section include:

  • QA and DI is considered to be the most difficult section in XAT. 

  • Questions from areas such as numbers, geometry, and mensuration have occurred more frequently than other topics. 

  • Other important topics include chapters such as arithmetic, venn diagrams, and functions. 

  • Despite the fact that the number of questions has reduced, the level of difficulty at the same time is increasing every year. 

  • Candidates who have prepared and solved difficult level questions from CAT Quant will be able to solve XAT QA questions easily. 

  • For 99 percentile, candidates must get 15 out of 27 questions right and the cutoff is 10 - 11 correct attempts. Check previous years XAT Cutoff for an idea of sectional cutoff.

  • Candidates will have approximately 3 mins for each question. While practicing, try to solve each problem in 2 minutes. 


XAT Quant Syllabus

XAT Quant Syllabus 2021

LCM and HCF Percentages Profit and Loss
Interest (Simple and Compound) Speed, Time and Distance Number System
Algebra Geometry including Co-ordinate Geometry Mensuration
Pure Math Venn diagrams Linear Equations
Quadratic Equations Complex Numbers Logarithm
Progressions Binomial Theorem Surds and Indices
Inequalities Permutation and Combination Probability Functions
Set Theory Mixtures and Alligations Trigonometry

Candidates must thoroughly familiarize themselves with the topics from which Quantitative Aptitude questions can come for a better preparation strategy. 

Note: XAT Exam authorities do not release any official syllabus or notice on the syllabus but an idea on all the possible topics can be worked up by looking at the past year papers. 

Also Read: XAT Syllabus 2021 (Updated): Important Topics, Preparation tips


XAT Quant Prep Books

XAT 2021 Quant Preparation Books

Book Name  Author Name ISBN
Quantitative Aptitude for Competitive Examinations RS Aggarwal 978-9352534029
Fast Track Objective Arithmetic (Arihant) Rajesh Verma 978-9312149836
How to prepare for Data Interpretation Arun Sharma 978-9353167141
Quantitative Aptitude For Competitive Examinations Abhijit Guha 978-9352604371
Data Interpretation for the CAT Nishit K Sinha 978-9353946616

Students who depend largely on resources or do not take any external help such as tuitions must choose their resources carefully. 

  • Always go for the latest version while buying books on any competitive exam to keep up with the trends. 

  • Go through reviews of students and teachers before making any purchase. 

  • Choosing books as per section is recommended over one book that covers all sections. 


XAT Quant Exam Pattern

XAT 2021 Quantitative Aptitude Exam Pattern

Quant Chapter 2020 2019 2018 2017 2016 2015
Profit and Loss  - 1  - 1 2 2
Percentages 1 1 1  -  -
Simple and Compound Interest  - 1  -  -  -
Ratio and Proportions 1 2
Time, Speed, and Work 2  - 3 2 2 3
Number System 2 1 6 1 2 2
Algebra 7 8 2 2 3 3
Series  - 1 1 1
Puzzle  -  - 2 1 1
Geometry and Mensuration 6 8 5 4 8 7
Probability 1 1  -
Trigonometry  -  -  - 1 1 1
Functions 1  -  - 1 1 1
Clocks  -  -  - 1 1 -
Set Theory 3  -  - 1 1 1
Caselet  -  -  - 2  -  -
Data Interpretation 6 6 6 8 7 8
Total 28 27 27 27 30 31

Key Highlights of XAT Quantitative Aptitude Exam Pattern:

  • For each correct response, 1 mark will be awarded. 

  • For each incorrect response, 0.25 or ¼ marks will be deducted. 

  • After every 8 unanswered questions, 0.5 marks shall be deducted for not attempting any question.


XAT Quant Cutoff

XAT Quant 2021 Cutoff

Like the other 2 sections in part 1 of the XAT paper, cutoff marks for quantitative aptitude is published by XLRI every year. Following points must be known by candidates:

  • Candidates who fail to score the minimum required marks will not be qualified for XAT 2021 counselling or interview round.
  • Cutoff depends on gender; separate marks will be published for male and female candidates.
  • Cutoff depends on the program chosen; it is different for HRM, BM, and GM candidates.
  • Previous year cutoff marks will help you get an idea of XAT 2021 QA cutoff.

XAT Quantitative Aptitude Cutoff for Business Management

  • XAT Quantitative Aptitude cutoff for Business Management for male candidates is not expected to cross 90.
  • XAT Quantitative Aptitude cutoff for Business Management has been low for last two years and is not expected to cross 88.
  • XAT Quant cutoff for XIMB was 80 this year.

XAT Quantitative Aptitude Cutoff for Human Resource Management

  • XAT Quant cutoff for male candidates in HRM is not expected to increase more than 75 or decrease less than 65
  • XAT Quant cutoff for female candidates in HRM is not expected to stay in the range 65 to 70
  • XIMB cutoff for quant section for HRM is 45

Check XAT 2021 Cutoff: Expected and Sectional Cutoff for Last 5 Years

XAT 2021 Quant Questions for Practice

Sample questions from previous years helps one get an idea of the type of problems XAT aspirants must be familiar with. Few chapter wise sample questions from QA are given below:

1. Sample XAT quant question on series:

Ques. The sum of series, (-100) + (-95) + (-90) + + 110 + 115 + 120, is: 

  1. 220 

  2. 340

  3. 450

  4. None of the above

Solution: (d) 450 

2. Sample XAT quant question on geometry:

Ques. AB is a chord of a circle. The length of AB is 24 cm. P is the midpoint of AB. Perpendiculars from P on either side of the chord meets the circle at M and N respectively. If PM < PN and PM = 8 cm. then what will be the length of PN? 

  1. 17 cm

  2. 18 cm

  3. 19 cm

  4. 20 cm

  5. 21 cm

Solution: (b) 18 cm

3. Sample XAT quant question on algebra:

Ques. If x and y are real numbers, the least possible value of the expression 4(x - 2)2 + 4(y - 3)2 - 2(x - 3)2 is :

  1. - 8

  2. - 4

  3. - 2 

  4. 2

Solution: (b) - 4

4. Sample XAT quant question on pipes:

Ques. Four two-way pipes A, B, C and D can either fill an empty tank or drain the full tank in 4, 10, 12 and 20 minutes respectively. All four pipes were opened simultaneously when the tank is empty. Under which of the following conditions the tank would be half filled after 30 minutes? 

  1. Pipe A filled and pipes B, C and D drained 

  2. Pipe A drained and pipes B, C and D filled 

  3. Pipes A and D drained and pipes B and C filled 

  4. Pipes A and D filled and pipes B and C drained 

  5. None of the above

Solution: (a) Pipe A filled and pipes B, C and D drained 

5. Sample XAT quant question on Profit and Loss:

Ques. A shop, which sold same marked price shirts, announced an offer - if one buys three shirts then the fourth shirt is sold at a discounted price of fl 00 only. Patel took the offer. He left the shop with 20 shirts after paying 20,000. What is the marked price of a shirt?

  1. 1260

  2. 1300

  3. 1350

  4. 1400

  5. 1500

Solution: (b) 1300

6. Sample XAT quant question on probability:

Ques. A dice is rolled twice. What is the probability that the number in the second roll will be higher than that in the first? 

  1. 5/36 

  2. 8/36 

  3. 15/36 

  4. 21/36 

  5. None of the above 

Solution: (c) 8/36

7. Sample XAT quant question on Speed, time, and distance 

Ques. Arup and Swarup leave point A at 8 AM to point B. To reach B. they have to walk the first 2 km, then travel 4 km by boat and complete the final 20 km by car. Arup and Swarup walk at a constant speed of 4 km/hr and 5 km/hr respectively. Each row his boat for 30 minutes. Arup drives his car at a constant speed of 50 km/hr while Swarup drives at 40 km/hr. If no time is wasted in transit, when will they meet again? 

  1. At 9.15 AM 

  2. At 9.18 AM 

  3. At 9.21 AM

  4. At 9.24 AM 

  5. At 9.30 AM 

Solution: (d) At 9.24 AM 

Suggested Read: XAT 2021 Sample Papers/ Practice Papers, Previous Years' Question Papers

8. Sample XAT quant question on Data Interpretation

Field Name Shape Sixe in meter Height in meter Radius in meter Cost of flooring in INR/sq. meter Cost of fencing in INR/ meter
A  Triangle  16 12 50 20
B Rectangle 10 x 20 30 15
C  Square  15 40 18
D Parallelogram 20 12 60 25
E Circle 45 22

Ques: What is the difference between cost of fencing of C and B?

  1. Rs 120
  2. Rs 480
  3. Rs 240
  4. Rs 180

Answer: Rs 180

Must Read Articles on XAT:

XAT Quantitative Aptitude Previous Year Analysis

Year  Decision Making Section Difficulty Number of Questions
2020 Mix of easy, moderate, and difficult 28
2019 Mix of easy, moderate, and difficult 27
2018 Easy to moderate 27
2017 Easy to moderate with few difficult 25
2016 Easy to moderate with few difficult 29
2015 Mix of easy, moderate, and difficult 33

Download Free XAT Practice Papers

XAT 2021 QA & DI Analysis

  • This year, the Quant & DI section was difficult as per students.
  • 28 Questions were asked in total. Sectional cutoff is expected to be 10-12 marks.
  • Good score for is 78-90 for males and 65-70 females.
  • There were 22 Questions from Quant. Most questions were from Arithmetic followed by DI.
  • 20 Quant questions were standalone questions

XAT 2020 QA & DI Analysis:

  • Quantitative ability in 2020 was slightly easier than 2019. 

  • Overall difficulty level of the 2020 paper was moderate. 

  • A total of 20 questions from QA and 8 from DA.

  • Most QA questions were from chapters such as geometry and algebra. 

  • In data interpretation, there were 3 sets with a total of 8 questions. 

  • About 4 -5 DI and 13 - 15 Quant questions could have been attempted in about 65 - 70 minutes. 

XAT 2019 QA & DI Analysis:

  • QA and DI in 2019 was difficult compared to 2018. Overall, it was of moderate level difficult. 

  • Only one set in data interpretation was tricky. 

  • Quantitative aptitude had 21 questions with most questions from geometry and algebra.

  •  While arithmetic questions were of moderate level, geometry questions were difficult. 

  • Few DI questions were incorrect. 

  • 2-3 DI questions and 13-15 Quant questions could have been attempted in about 65-70 minutes

XAT 2018 QA & DI Analysis:

  • Quant and DI was slightly easier than 2017. 

  • Most of the 19 QA questions were from geometry and algebra. 

  • While arithmetic questions were of moderate level, geometry questions were difficult. 

  • Few DI questions were ambiguous in nature. 

  • In about 65 - 70 minutes, one could have attempted 4 - 6 DI and 14 - 16 QA questions. 

XAT 2017 QA & DI Analysis:

  • Quant and DI in 2017 was slightly easier than 2016 with the exception one DI set which was a little tricky. 

  • Most of the 17 QA questions were from geometry and algebra. 

  • While arithmetic questions were of moderate level, geometry questions were difficult.

  • Few DI questions were ambiguous in nature. 

  • There were 2 DI sets with 8 questions. 

  • In about 55 minutes, one could have attempted 4 - 6 DI and 14 - 16 QA questions. 

XAT 2016 QA & DI Analysis:

  • Quant and DI in 2017 was easier compared to 2015.

  • There were 22 QA questions mostly from chapters like geometry, algebra, arithmetic, and number systems. 

  • While arithmetic questions were of moderate level, geometry and algebra questions were difficult.

  • Few data interpretation questions were ambiguous in nature. 

  • Candidates could have attempted 2 - 4 DI questions in about 20 - 25 minutes. 

XAT 2015 QA & DI Analysis:

  • Quantitative Analysis and Data Interpretation section was moderately difficult in 2015.

  • This year QA and DI was slightly more difficult than 2014.

  • There were 22 QA questions mostly from chapters like geometry, algebra, arithmetic, and number systems. 

  • While arithmetic questions were of moderate level, geometry and algebra questions were difficult.

  • There were 2 DI sets with 4 questions. 

  • Candidates could have attempted 3 - 5 DI questions in about 20 - 25 minutes. 

Read: XAT 2021 Top Coaching Institutes


XAT Quant Prep Tips

XAT Quantitative Aptitude Preparation Tips

It is extremely important to have a preparation strategy that works best for you. 

  • If you are taking tuition, make sure that your tuition provides all the necessary materials and gives individual attention when needed.

  • Do not forget to go through the papers of previous years to get an idea of the types of questions generally asked. 

  • Use your reading time; 15 minutes wisely. Do not spend much time on the questions that appear hard or unknown.

  • Quant covers syllabus that students have already done in their 10th standards. So brushing up on the basics will prove to be very helpful.

  • For solving calculation based problems faster, do learn the tricks and shortcuts. Try to maintain a separate notebook for all the new formulas. 

  • Practice solving quant questions in 2 - 2.5 minutes at home as in exam hall you will get about 3 minutes per problem. 

  • Spend more time on chapters from which the maximum number of questions come such as geometry, algebra, and arithmetic. 


XAT Quant Topper Tips

XAT Quant FAQs

Frequently Asked Questions

Question: How many questions will come in XAT quant and DI section?

Ans. Candidates can expect around 27 - 30 questions from XAT quant and DI section. 

Question: Is XAT Quantitative Aptitude and DI section harder than that of CAT?

Ans. XAT is overall tougher than CAT paper. So Quantitative Aptitude and DI is also tougher. 

Question: What are some good books for XAT quant and DI?

Ans. Some good books you can follow to ace XAT Quantitative Aptitude and DI are Quantitative Aptitude for Competitive Examinations by RS Aggarwal, Fast Track Objective Arithmetic (Arihant) by Rajesh Verma, How to prepare for Data Interpretation by Arun Sharma, Quantitative Aptitude For Competitive Examinations by Abhijit Guha, Data Interpretation for the CAT by Nishit K Sinha. 

Question: What are some tips to crack Quantitative Aptitude section in XAT?

Ans. Use your reading time wisely, Do not spend much time on the questions that appear hard or unknown, brush up on the basics, tricks and shortcuts, and spend more time on chapters from which the maximum number of questions come such as geometry, algebra, and arithmetic. 

Question: What are the best coaching centres for XAT?

Ans. Go through city wise XAT 2021 Top Coaching Institutes for best coaching for XAT. 

Question: What is the maximum number of times I can appear for XAT?

Ans. There is no restriction set by XAT on the number of attempts a candidate can give so can appear as many times as you want. 

XAT 2021 : 3 answered questions

VIEW ALL

Ques. Which are some good GK apps for IIFT, XAT, SNAP?

● Top Answer By Aditi Arun on 02 Feb 21

Ans. Here are some apps which will help you prepare GK for IIFT, XAT, SNAP, exams. Knappily It is one of the best news apps, basically, a knowledge app that updates you with all the important events happening around the world.  It covers sections from Politics, Tech, Sports, Entertainment, Business, Law, Environment, Literature, etc.  It also has its desktop version.  Knappily in 2 minutes give in-depth information on What, Why, When, Who, and How. Inshorts Inshorts is one of the best news apps you will come across. In 30 seconds it covers all the major events happening around the world.  As it summarizes in only 60 words, it will be a helpful app if time is running low for exam preparation.  You can also select relevant issues of your interest on the app, as there are 100% of news flooded on the app. Also, avoid unnecessary use of different applications at once. This will only confuse and distract you. It is better that you use only two of the best news apps for preparation.Read more
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Ques. Who can rate CAT, XAT, SNAP, IIFT, MICAT, TISS, or NMAT in terms of difficulty level?

● Top Answer By Janvi Bhambri on 01 Feb 21

Ans. Among all these examinations, XAT is most difficult, followed by CAT. The difficulty level of the exams, in descending order (most difficult to easy) is XAT> CAT> IIFT> SNAP> TISS> NMAT. Now, let us dive into a detailed analysis behind the assigned ranks and the difficulty level. IIFT-  The questions asked in IIFT are a mixture of moderate and difficult.  The struggle lies in the attainment of marks within the cut-off range, both total cut-off and individual section cut-off.  Therefore, the students have no option but to perform exceedingly well in all sections, GK included.  The acceptance rate of IIFT is comparably low, only 400 students get admitted out of 50000 students. SNAP –  The entrance exam is easy but the tough part is to score marks that will be eligible for admission into Mumbai, Pune, Bengaluru, or SCHMID branch.  These are the branches which are of good quality, unlike the rest of them. TISS-  The exam pattern of TISS is easy but the GK section is the most dangerous part among them.  The questions asked in the GK section comprise both general knowledge and current affairs, therefore the portions are cover is endless. NMAT-  NMAT exam can be successfully cleared with proper preparation. The questions asked are conceptually based.  No negative marks are given for wrong answers, hence the students are free to attempt all the questions fearlessly.  MICAT is pretty easy. If you want a career in brand marketing and advertising it is necessary.  Therefore, from the above discussion, you can estimate the logic behind ranking the difficulty level of exams.Read more
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Ques. What is the order of difficulty mode of entrances exam among these CAT, MAT, XAT, CMAT, ATMA and other exams conducted by deemed universities?

● Top Answer By Sahil Sachdeva on 18 Jan 21

Ans. The order of difficulty is definitely related to various factors but the prominent ones are candidates appearing & its composition. Keeping these in mind; the list is as follows: Common Aptitude Test(CAT) The exam is conducted by IIMs and accepted by most of the management institutes across the country.  The test duration is around 3 hours and comprises 100 questions.  A nice level of preparation is required to crack it as colleges look up to candidates holding more than 90 percentile. Xavier’s Aptitude Test (XAT) This examination is organised by Xavier Institute Of Management situated in Jamshedpur.  It also qualifies as a prominent score for management courses across various colleges.  The paper has sections similar to CAT but reasoning and general knowledge are the cracking points in the paper. Common Management Aptitude Test (CMAT) It is conducted by All India Council Of Technical Education(AICTE) having a moderate level of difficulty.  It takes general knowledge scores into consideration.  It is a 3 hour exam with 100 questions. Management Aptitude Test (MAT) This examination is conducted 4 times a year in February, May, September and December by All India Management Association (AIMA).  It is the easiest of all management exams and is accepted by 55-60% colleges across the country.  It is a 2.5 hour paper including 200 questions.  The percentile awarded is not inclusive of general knowledge score. The details regarding exams can be summed up in the table as follows: PAPER Number of questions Time duration (hours) Number of times paper conducted CAT 100 3 Once in a year (29 November 2020) XAT 100; 2 parts 3 Once in a year ( 3 January 2021) CMAT 100 3 Once in a year ( January 2021 ; registration open) MAT 200 2.5 4 times a year (February, May, September and December) The other prominent exams that are institute specific are : NMAT- Narsee Monjee Institute Of Management Studies -Management Aptitude Test SNAP- Symbiosis College – Symbiosis National Aptitude Test IIFT- Indian Institute Of Foreign Trade The aforesaid examinations are followed by GD/PI with a comprehensive evaluation of the entire academic cycle of candidate. Mere qualification of percentile is not a sure shot entry to top institutes.Read more
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*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.

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