XAT 2021 XAT QUANTITATIVE APTITUDE: PREPARATION TIPS, SOLVED SAMPLE QUESTIONS

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    How to Prepare for XAT 2021 Quantitative Aptitude: Syllabus, Pattern, Solved Problems, Preparation Tips

    XAT Quantitative Aptitude 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. Download Free XAT Practice Papers

    Some important updates of XAT exam are:

    • The total number of questions have increased from 99 to 100 while exam time has reduced from 3.5 to 3 hours.

    • Exam will be conducted in online mode and no calculator is allowed for XAT.

    • Earlier 0.5 marks were deducted if 12 questions were not answered. Now the same marks will be deducted if any question after 8 questions are unanswered. 

    Table of Content

    Before discussing Quantitative Aptitude in depth, let us understand the sectional breakup of the XAT paper. Verbal and Logical Ability has 26 questions, Decision Making has 21 questions, Quantitative Ability 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 DA. 

    Also read:XAT 2021 Exam Dates, Application Form, Eligibility, Pattern, Result and Cut Off

    Key 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 Cutofffor 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 Quantitative Aptitude Syllabus 2021

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

    It has to be noted that XAT 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. 

    XAT Quantitative Aptitude topics include:

    LCM and HCFPercentagesProfit and Loss
    Interest (Simple and Compound)Speed, Time and DistanceNumber System
    AlgebraGeometry including Co-ordinate GeometryMensuration
    Pure MathVenn diagramsLinear Equations
    Quadratic EquationsComplex NumbersLogarithm
    ProgressionsBinomial TheoremSurds and Indices
    InequalitiesPermutation and CombinationProbability Functions
    Set TheoryMixtures and AlligationsTrigonometry

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


    XAT Quant Best Books

    XAT Quantitative Aptitude Best Books

    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. 

    Some trusted books for the quant section with ISBN has been tabulated below:

    Book Name Author NameISBN
    Quantitative Aptitude for Competitive ExaminationsRS Aggarwal978-9352534029
    Fast Track Objective Arithmetic (Arihant)Rajesh Verma978-9312149836
    How to prepare for Data InterpretationArun Sharma978-9353167141
    Quantitative Aptitude For Competitive ExaminationsAbhijit Guha978-9352604371
    Data Interpretation for the CATNishit K Sinha978-9353946616

    XAT QA Pattern

    XAT Quantitative Aptitude Exam Pattern 2021

    • Total marks of the XAT paper is 300 marks. 

    • 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.

    Quant Chapter202020192018201720162015
    Profit and Loss -1 -122
    Percentages111 - -
    Simple and Compound Interest -1 - - -
    Ratio and Proportions12
    Time, Speed, and Work2 -3223
    Number System216122
    Algebra782233
    Series -111
    Puzzle - -211
    Geometry and Mensuration685487
    Probability11 -
    Trigonometry - - -111
    Functions1 - -111
    Clocks - - -11-
    Set Theory3 - -111
    Caselet - - -2 - -
    Data Interpretation666878
    Total282727273031

    XAT QA Solved Questions

    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 counseling 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

    XAT 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 NameShapeSixe in meterHeight in meterRadius in meterCost of flooring in INR/sq. meterCost of fencing in INR/ meter
    A Triangle 16125020
    BRectangle10 x 203015
    C Square 154018
    DParallelogram20126025
    ECircle4522

    XAT QA Previous Year Analysis

    XAT Quantitative Aptitude Previous Year Analysis

    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

    Going through a detailed analysis of previous years is extremely helpful in gathering an idea of the level of difficulty, important topics, and overall pattern. We analysed the papers the last years; 2020, 2019, 2018, 2017, 2016, and 2015 and gathered the key information on those.

    Year Decision Making Section DifficultyNumber of Questions
    2020Mix of easy, moderate, and difficult28
    2019Mix of easy, moderate, and difficult27
    2018Easy to moderate27
    2017Easy to moderate with few difficult25
    2016Easy to moderate with few difficult29
    2015Mix of easy, moderate, and difficult33

    XAT 2020 QA 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 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 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 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 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 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. 


    XAT QA Preparation 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. Read: XAT 2021 Top Coaching Institutes

    • 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. 


    Useful tips from XAT toppers

    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. 

    *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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