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  • 8/10/2019 Mrunal CSAT

    1/34

    - Mrunal - http://mrunal.org -

    [Studyplan] CSAT Aptitude Paper 2: Maths & DataInterpretation-High priority topics, Sample Questions, free

    studymaterial (part 2 of 3)

    Posted By On 08/06/2014 @ 11:51 am In Aptitude |79 Comments

    1. Math haters are grave diggers1. #1: 2012 unlikely to repeat2. #2: GS Strength doesnt compensate math weakness3. #3: One lakh Delhi aspirants4. #4: Maths = competitive edge + peace of mind

    2. Mathematics: What to ignore?

    1. Doubtful syllabus topics in Mathematics2. Highest priority (finish them first)3. Medium priority4. Low Priority

    3. CSAT Math doesnt not fall from sky but NCERTs1. Gather the weapons2. Which Quant book?3. Dont waste time learning Speed maths / Vedic maths

    4. High priority topics5. H1: Linear Equations

    1. NCERT: Linear Equations2. Quant book: Linear Equations

    6. H2: Number system1. NCERT: Number system2. NCERT Powers & Exponents

    7. H3: Percentages, Profit Loss, SI- CI8. H4: Ratio Proportion Variation Partnership (RPVP)9. H5: Speed Time Distance Work (STDW)10. H6: Averages, Allegations11. H7: Data Interpretation (DI)

    1. DI-1: odd- graphs2. DI-2: bar graphs, pie charts3. DI-3: Venn Diagrams4. Dont assume A+B=total5. DI-4 Tabulation questions

    12. H8: Geometry: Area volume perimeter (AVP)13. Appendix: Download links

    1. A1: Last three years official CSAT papers2. A2: NCERT Mathematics Topicwise Sorted free download3. A3: Quant books: What to prepare, what to skip?

    So far in the CSAT paper-2 study plan

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rpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#1078http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#988http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#947http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#895http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#779http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#510http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#508http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#497http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#458http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#425http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#394http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#380http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#370http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#351http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#166http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#102http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#90http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#73http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#68http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#14http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#1http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#comments_controls
  • 8/10/2019 Mrunal CSAT

    2/34

    1. Comprehension and Reasoning2. Mathematics & Data Interpretation: high priority topicsYoure here3. Decision Making + Mathematics: Medium & low priority topics

    Math haters are grave diggersMany of you have this mindset / strategy:

    1. I hate maths / Im weak in maths. Therefore, Ill pump extra hours inGeneral studies to compensate for my poor command overmathematics.

    2. Prelim marks not counted in final merit list, and maths is not going to beasked in mains. So why bother. Besides, in 2012 only 3 questions wereasked!

    3. xyz person on xyz forum said he managed to crack CSAT withoutpreparing maths. Same Cinderella story will repeat in my case.4. In last three years, average cut off was ___. So, so if I tick __ Questions

    in GS paper I and __ questions in comprehension /reasoning, I caneasily reach cut offs, without bothering about maths.

    To all such aspirants, Ive four things to say:

    #1: 2012 unlikely to repeat

    % of questions CSAT-2012 Paper II CSAT 2013

    comprehension 40 MCQs. (=50% of the paper) reduced to 32 MCQs.

    mathsonly 3 MCQs = dream come true for math

    haters.

    17 MCQs = = ~1/5t of

    paper.

    http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-comprehension-reasoning-analysis-previous-papers-free-studymaterial-cutoffs-part-1-2.htmlhttp://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-comprehension-reasoning-analysis-previous-papers-free-studymaterial-cutoffs-part-1-2.htmlhttp://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.htmlhttp://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.htmlhttp://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-decision-making-maths-medium-low-priority-topics-sample-questions-free-studymaterial-part-3-3.htmlhttp://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-decision-making-maths-medium-low-priority-topics-sample-questions-free-studymaterial-part-3-3.htmlhttp://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-decision-making-maths-medium-low-priority-topics-sample-questions-free-studymaterial-part-3-3.htmlhttp://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.htmlhttp://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-comprehension-reasoning-analysis-previous-papers-free-studymaterial-cutoffs-part-1-2.html
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    only THREE questions from Maths in 2012! Will those Acche din comeagain?

    Ok so why did the Achhe dinend? Why didnt UPSC ask just three MathsMCQs in 2013, like they did in 2012? You can unravel this mystery by lookingat Behind the curtains timeline and joining the dots

    20 May 2012 CSAT-2013 exam held. Only 3 maths and 40 comprehension.

    30 August 2012 Prof. Nigvekar submits report& recommends following

    In CSAT Paper II: too m any quest ions were asked fromcomp rehension sect ion, it needs to be reduced slightly in favor of

    other type of aptitude questions.(e.g. reasoning, maths) It will be better to reduce the Engl ish part in CSAT, and instead set bit

    tougher questions in the compulsory English paper at mains level.

    26thMay 2013:CSAT 2013 exam. Comprehension reduced from 50% to 40%,consequently, maths questions increased from 3 to 17, to fillup the total 80questions quota. Even in mains-2013, compulsory Englishpaper waslengthierthan previous exams, and hence tougher.

    In other words, Maths is here to stay. 2012 scene unlikely to repeat. UPSC

    unlikely to ask only 3 maths MCQs in 2014.

    http://mrunal.org/2014/03/nigvekar-prelim-reforms-less-comprehension-csat-take-online-exam-two-years-validity-transparency-part-2-4.html#14http://mrunal.org/2014/03/nigvekar-prelim-reforms-less-comprehension-csat-take-online-exam-two-years-validity-transparency-part-2-4.html#14http://mrunal.org/2013/12/download-compulsory-english-2013-question-paper-of-upsc-civil-service-mains-exam-last-17-years-as-bonus1997-2013.html#1http://mrunal.org/2013/12/download-compulsory-english-2013-question-paper-of-upsc-civil-service-mains-exam-last-17-years-as-bonus1997-2013.html#1http://mrunal.org/2013/12/download-compulsory-english-2013-question-paper-of-upsc-civil-service-mains-exam-last-17-years-as-bonus1997-2013.html#1http://mrunal.org/2013/12/download-compulsory-english-2013-question-paper-of-upsc-civil-service-mains-exam-last-17-years-as-bonus1997-2013.html#1http://mrunal.org/2013/12/download-compulsory-english-2013-question-paper-of-upsc-civil-service-mains-exam-last-17-years-as-bonus1997-2013.html#1http://mrunal.org/2013/12/download-compulsory-english-2013-question-paper-of-upsc-civil-service-mains-exam-last-17-years-as-bonus1997-2013.html#1http://mrunal.org/2014/03/nigvekar-prelim-reforms-less-comprehension-csat-take-online-exam-two-years-validity-transparency-part-2-4.html#14
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    #2: GS Strength doesnt compensate math weakness

    Prof.Nigvekar Committee observed:

    CSAT Paper-I (General studies) is difficult compared to paper-II (Aptitudetest). The candidates who are good in general studies, are at disadvantage,because they cant get any edge with general studies. On the other side,candidates good in paper-II(Aptitude) gets advantage, & they can makethough the exam even without much study of general studies. (Therefore)

    Aspirants with engineering background formed the major chunk of aspirantswho qualified the prelims in the first attempt.

    In other words,

    It takes far more effort to get 60 correct in GS, than it takes to get 60 correct inaptitude. Given the large influx of Engineer-UPSC aspirants post sub-primecrisis and mushrooming self-financed colleges, IF you (non-Engineers) thinkyou can compensate your weakness in maths/aptitude by pumping morehours in General studies => then youre making a grave mistake. You have totame the bull (maths) by the horns (continuous practice).

    #3: One lakh Delhi aspirants

    In April 2014, UPSC wrote a letter to DoPT,requesting more officers to be

    deployed for exam duty because:

    1. more than 10 lakh people expected to apply for CSAT-20142. Out of them more than 1 lakh people from Delhi alone. (This is UPSCs

    estimation!).

    10 lakh is not worrisome, because most of them are non-serious peopleapplying just because papa said (JBPS). But 1 lakh from Delhi alone= that is adisturbing number.

    Because majority of them would be full-time dedicatedaspirants migratedto Delhi for the sole purpose of UPSC preparation.Therefore, competition will be cutthroat than ever before.

    In recent years, even Hyderabad, Bangalore, Chennai, Indore, Lucknowand Abad are also fast turning into Delhi like centres i.e. where manyaspirants rent a room and full time dedicate to UPSC preparation with orwithout coaching.

    In this environment, youve to extract every mark you can, from everysection you can. Hating maths is not a good idea. Remember: Sincerecandidates dont fail prelims by 100 marks, they fail by a margin of justfew marks below the cutoff. And in most cases, they could have avoided

    https://docs.google.com/file/d/0B0DPgaYAtDgmTW9YVi0xUkY4NUk/edithttps://docs.google.com/file/d/0B0DPgaYAtDgmTW9YVi0xUkY4NUk/edithttps://docs.google.com/file/d/0B0DPgaYAtDgmTW9YVi0xUkY4NUk/edit
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    Subtotal: Odd balls 5 0 1

    Maths Total Basic+Stat+STD+DI 23 3 17

    % out of 80 MCQs 28.75 3.75 21.25

    UPSCs official syllabus doesnt specifically say well not ask this, this andthis. It only says:

    Basic numeracy (numbers and their relations, orders of magnitude, etc.)(Class X level)

    Data interpretation (charts, graphs, tables, data sufficiency etc.ClassX level)

    This etc. word is dangerous. Because uptoclass X level NCERT textbooksinclude statistics, probability, trigonometry, parallelograms and evencoordinate geometry. Should we prepare such topics or not?

    CSAT system is just three years old. So far ~43 total maths questions askedin 2011, 12 and 13. This sample size too small to make projections that xtopic will always be asked and y topic will never be asked.

    2011: UPSC introduces CSAT system, public believed that UPSC willcompletely revamp its Aptitude Question bank in its secret computerdatabase. But UPSC is still asking stuff they used to ask way back in the 90s.Observe:

    CSAT paper II q. (maths / DI upto class X level) similar asked in pre-CSAT era

    2011 they gave a graph of A,B,C running and

    asked who won the race, who was very slow etc.1996- with four athletes A,B,C,D

    2011: water contamination, various phases 1999: fertilizer input vs yield

    2011: comparing speed of two trains1995: comparing temperature of two

    liquids

    time speed distance QuestionsRegularly asked between 1995-2012,

    with almost identical difficultly level.

    linear equations, HCF-LCM questions same as above

    This is just tip of an iceberg- even reasoning, syllogism, assumption-inference, Venn diagram, sitting arrangement- if you look at all theaptitude questions from 1995 to 2013- history is repeating itself frompre-CSAT era to CSAT era.

    Many questions are mirroring themselves only names, numbers andwording changed. if previously they gave time-distance & asked you tofind speed; this time they give speed and time and ask you to finddistance and so on

    ..meaning

    1. UPSC hasnt completelyrevampedits question bank.

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    2. Just because xyz topic is not asked in last three CSAT = it doesntmean UPSC will never ask it in future exams. If something is taughtupto class10, AND it has been asked in previous prelims (Even beforePre-CSAT era), then we should prepare.

    Doubtful syllabus topics in Mathematics

    Topic

    Taught up

    to NCERT

    std.10?

    Prepare

    for

    CSAT?

    why?

    Statistics (Cumulative

    frequency, median, mode

    etc.)

    YES YES

    Yes, because in 1999 they asked Data

    interpretation (DI) about cumulative

    frequency and average for grouped data

    with class interval.

    Arithmetic progression YES YES asked in CSAT 2011 itself.

    Geometric progression NO NO

    GP starts from Class11. They did askwater doubles every five minute

    question in 2001, but it could be solved

    without formulas. At max, mugup the

    ball rebounding formula.

    Irrational numbers YES No its not asked from 1995 till 2013.

    Coordinate Geometry YES YES Asked in 1995 and 1999 prelims.

    Non-AVP GeometryTheory

    YES YES

    Non-AVP Geometry theory=

    interior angle, parallelogram

    sides, cyclic quadrilaterals etc.

    topics beyond simple area-

    volume-perimeter (AVP).

    YES should be prepared,

    because asked in 1995, 96, 97,

    98, 99, 2000, 2001.

    Trigonometry YES YES

    height-n-distance problem has

    been asked in past.

    Ignore radian, maximum

    minimum values of sin/cos/tan-

    because that starts from class11-

    12 and never asked in pre-CSATor CSAT era.

    Clock Angles indirectly YES Asked in 98, 2002, 2000 etc.

    Divisibility YES YES Asked in 2010.

    Probability YES YesRoutinely asked this topic up to mid-

    2000s.

    Permutation

    &Combination (Pnc)NO YES

    Yes. they routinely asked this

    topic upto mid-2000s, (may be

    Examiner considers this a

    reasoning topic and not maths)

    Even in CSAT 2011, they asked

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    1. Linear Equation2. Number System3. %, profit loss, SI-CI4. Ratio Proportion Variation5. Speed Time Distance Work6. Averages, Alligiations7. Data Interpretation8. Geometry: Area Volume Perimeter

    Medium priority

    Following topics not frequently asked, but takes barely 2 hours to master.because You just have to mugup 3-5 formulas and variety of questions is veryless. Therefore cost: benefit good, You should make room in your schedule toprepare them.

    9. Arithmetic Progression => only have to do one chapter in NCERT.

    10. Coordinate Geometry => only have to do one chapter in NCERT.

    11. Polynomials factorization => only have to do two chapters inNCERT.

    Low Priority

    Low priority doesnt mean UPSC will *NOT* ask them. Low priority means,within your study time table, do them at last depending on how much free timeleft after allotting time for other high priority topics such as history, polity,

    science, economy, environment (for Paper I) and those reasoning-comprehension & other high priority topics under Maths (for Paper II).

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    Reason: following topics not frequently asked. Theyre not difficult but havemany variety of questions and formulas=> each of them take more than 4hours to master. Therefore, put under low priority in terms of study timeallotment.

    12. Geometry theory: Triangles, Quadrilaterals, Circles (TQC)

    13. Trigonometry: only height n distance

    14. Permutation Combination Probability

    15. Statistics

    Anyways, lets begin preparation:

    CSAT Math doesnt not fall from sky but NCERTs

    Some questions directly came from NCERT, just numbers changed. Observe

    CSAT paper II question similar question in NCERT

    2011: contractor penalty Class 10, Ch 5, page 113, Q.15

    2011: students who play neither cricket nor

    football.Class11, ch1, page 23, example 26

    2013: food in garrison, how many days will it

    last?

    Class8, Ch13, page 212 example 7, 8 and

    9.

    Even the remaining questions, most of them are just slightly difficult than theconcepts taught at NCERT level. Meaning, you dont have to be an IIT/CATrankerIf you can understand even upto NCERT level mathematics, youcan tick good number of MCQs.

    Gather the weapons

    ESSENTIAL

    1. One book on quantitative aptitude (hence forth referred as QuantBook)

    2. (For those really poor in maths)- NCERT Mathematics. Topicwise zipfile given at bottom.

    3. one separate notebook / file, to maintain diary of mistakes- wheneveryou find any new formula, shortcut, weird MCQ or make mistake,

    note it down in this diary. Night before the exam, just read this diary.

    No need to revise aptitude books or practice sums on that night. I

    did the same for CAT, got 96%ile.

    OPTIONAL

    1. A folder and loose A4 sized papers-To maintain a diary of mistakesand shortcuts. This is better than a notebook because you can add new

    pages anywhere as per your requirement.

    2. A black slate, like those poor kids use in government primary schools-

    http://mrunal.org/2012/03/strategy-art-of-preparing-for-aptitude.htmlhttp://mrunal.org/2012/03/strategy-art-of-preparing-for-aptitude.htmlhttp://mrunal.org/2012/03/strategy-art-of-preparing-for-aptitude.html
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    It saves lot of paper wasted in practicing math & reasoning sums.

    3. CSAT Topicwise solve papers (1995-2013) by Disha Publication.Contains all papers of GS and aptitude- topicwise separated for both

    pre-CSAT and CSAT era.

    Which Quant book?

    As such, CSAT maths is just slightly more difficult than NCERT exercises.BUT, since NCERTs alone dont give all variety of questions and street-smarttechniques to save time during exam. Therefore, you need a quant book. Forexample, consider this

    (2007) A person has to fill three liquids403 lit. Petrol, 465 lt. diesel and496 lt. motor oil in bottles of equal size without mixing any of aboveliquids. What is the least possible number of bottles required?

    While NCERT teaches HCF in class10, but doesnt dwell into this concept.Concept is: youve to find HCF (31), then divide each number with HCF, thenyoull get total number of bottles required = 44.

    To learn all such variety of questions and concepts, you need a book onquantitative aptitude. NCERT are good to learn basic concepts, but NCERTalone are insufficient for CSAT.

    Choice of Quantitative Aptitude book, depends on your career backup apartfrom Civil Service Exam.

    IBPS, Bank, Staff Selection

    (SSC), AFCAT, LIC, NICL-

    AAO, ACIO, FCI & other PSU

    jobs.

    Fast-track to Objective Arithmetic by Rajesh Verma

    going back to private sector /

    business

    CSAT Aptitude Manual by Tata Macgraw Hill

    (TMH),ArihantorPearsonor xyz publication- whichever

    you can find cheapest or second hand

    CDS, SCRA, CAT, XAT &other higher level exams.

    Quantum CAT Sarvesh Kumar(ORArun Sharma)

    Avoid following books

    RS Aggarwals book on Quantitative Aptitude, M.Tyras book on quickerMaths, and any other 90s era book thatbookstorewallarecommends you,because:

    1. Theyre Useless for SSC, CDS and SCRA because they dont give

    detailed coverage of Trigonometry, geometry theory (parallelograms,circle-tangent etc.) OR quadratic equations.

    http://www.flipkart.com/csat-topic-wise-solved-papers-19-years-general-studies-1995-2013/p/itmdhhccqt4sr3hz?pid=9789382961789&affid=mrunalrugmhttp://www.flipkart.com/csat-topic-wise-solved-papers-19-years-general-studies-1995-2013/p/itmdhhccqt4sr3hz?pid=9789382961789&affid=mrunalrugmhttp://www.flipkart.com/fast-track-objective-arithmetic-3rd/p/itmd68vjuzdcmrs7?pid=9789351760146&affid=mrunalrugmhttp://www.flipkart.com/fast-track-objective-arithmetic-3rd/p/itmd68vjuzdcmrs7?pid=9789351760146&affid=mrunalrugmhttp://www.flipkart.com/general-studies-civil-services-preliminary-examination-paper-ii-2014-1st/p/itmdzbznrq2gzqr2?pid=9781259064388&affid=mrunalrugmhttp://www.flipkart.com/general-studies-civil-services-preliminary-examination-paper-ii-2014-1st/p/itmdzbznrq2gzqr2?pid=9781259064388&affid=mrunalrugmhttp://www.flipkart.com/general-studies-civil-services-preliminary-examination-paper-ii-2014-1st/p/itmdzbznrq2gzqr2?pid=9781259064388&affid=mrunalrugmhttp://www.flipkart.com/cracking-csat-paper-2-civil-services-aptitude-test-4th/p/itmdzy59psxmjytf?pid=9789351411109&affid=mrunalrugmhttp://www.flipkart.com/cracking-csat-paper-2-civil-services-aptitude-test-4th/p/itmdzy59psxmjytf?pid=9789351411109&affid=mrunalrugmhttp://www.flipkart.com/cracking-csat-paper-2-civil-services-aptitude-test-4th/p/itmdzy59psxmjytf?pid=9789351411109&affid=mrunalrugmhttp://www.flipkart.com/pearson-general-studies-paper-ii-civil-services-preliminary-examinations-2014-1st/p/itmdzd9zzfhenbkw?pid=9789332519923&affid=mrunalrugmhttp://www.flipkart.com/pearson-general-studies-paper-ii-civil-services-preliminary-examinations-2014-1st/p/itmdzd9zzfhenbkw?pid=9789332519923&affid=mrunalrugmhttp://www.flipkart.com/quantitative-aptitude-quantum-cat-common-admission-test-into-iims-7th/p/itmdwqbnmqzd36h5?pid=9789351416401&affid=mrunalrugmhttp://www.flipkart.com/quantitative-aptitude-quantum-cat-common-admission-test-into-iims-7th/p/itmdwqbnmqzd36h5?pid=9789351416401&affid=mrunalrugmhttp://www.flipkart.com/prepare-quantitative-aptitude-cat-6th/p/itmdwqyjag42b5py?pid=9789339205126&affid=mrunalrugmhttp://www.flipkart.com/prepare-quantitative-aptitude-cat-6th/p/itmdwqyjag42b5py?pid=9789339205126&affid=mrunalrugmhttp://www.flipkart.com/prepare-quantitative-aptitude-cat-6th/p/itmdwqyjag42b5py?pid=9789339205126&affid=mrunalrugmhttp://www.flipkart.com/prepare-quantitative-aptitude-cat-6th/p/itmdwqyjag42b5py?pid=9789339205126&affid=mrunalrugmhttp://www.flipkart.com/quantitative-aptitude-quantum-cat-common-admission-test-into-iims-7th/p/itmdwqbnmqzd36h5?pid=9789351416401&affid=mrunalrugmhttp://www.flipkart.com/pearson-general-studies-paper-ii-civil-services-preliminary-examinations-2014-1st/p/itmdzd9zzfhenbkw?pid=9789332519923&affid=mrunalrugmhttp://www.flipkart.com/cracking-csat-paper-2-civil-services-aptitude-test-4th/p/itmdzy59psxmjytf?pid=9789351411109&affid=mrunalrugmhttp://www.flipkart.com/general-studies-civil-services-preliminary-examination-paper-ii-2014-1st/p/itmdzbznrq2gzqr2?pid=9781259064388&affid=mrunalrugmhttp://www.flipkart.com/general-studies-civil-services-preliminary-examination-paper-ii-2014-1st/p/itmdzbznrq2gzqr2?pid=9781259064388&affid=mrunalrugmhttp://www.flipkart.com/fast-track-objective-arithmetic-3rd/p/itmd68vjuzdcmrs7?pid=9789351760146&affid=mrunalrugmhttp://www.flipkart.com/csat-topic-wise-solved-papers-19-years-general-studies-1995-2013/p/itmdhhccqt4sr3hz?pid=9789382961789&affid=mrunalrugm
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    2. Theyre Useless for CSAT and higher level exams. Because they dontcover all variety of tricky MCQs asked in such exams.

    3. Even banking & insurance examsRajesh Vermas techniques arefaster & easy to understand.

    Dont waste time learning Speed maths / Vedic maths

    For CSAT-Just memorize multiplication tables from 2 to 9. At max,mugup squares upto 19. It is sufficient.

    unlike Bank and CAT exam, the UPSC data interpretation questionsdont test your speed mathematics or long division skill,

    unlike CDS and SSC, UPSC questions on divisibility, number theory orHCF-LCM, dont test your skill over prime number tables (13, 17, 19, 23,29).

    Therefore, dont waste time in Vedic maths tricks for speed maths, addition,multiplication, subtraction, division, cube roots, square roots etc.

    If you already know such tricks then good, but now is not the right time tolearn them fresh.

    High priority topics

    High priority topics doesntmean UPSC will definitelyask majority of the

    questions from here. It only means while you plan your study schedule, youshould finish them first:

    H1: Linear Equations

    Sample questions from previous prelims

    (1998) in a family, age of father is three times that of his daughter, andage of son is half of his mother. If wife is nine years younger thanhusband, and brother is 7 years older than sister, what is the age of

    mother? (Ans.60) (2009) A gave half of his coins to B and 4 more besides. B gave half of

    his coins to C and 4 more besides. C gave half of his coins to D and 4more besides. Both B and D end up with same number of coins. Howmany coins did A have originally? (Ans.72 coins)

    (2011) a person has only Rs. 1 and Rs. 2 coins with her. If the totalnumber of coins that she has is 50 and the amount of money with her isRs. 75, then find the number of Rs. 1 and Rs. 2 coins with him? (Ans.25 and 25)

    What is Linear Equation?

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    Linear equation means unknown variable (x or y) doesnt have anything abovetheir head.

    x2+2x+1

    This is not linear equation because x has 2 above its head. Infact this is a

    quadratic equation. It is also part of upto classs10 syllabus. But comes under

    low priority for CSAT.

    2x+1

    This is linear equation because x doesnt have anything above its head. (Actually

    its x1but for our understanding purpose, take it as just x). This ishigh

    prioritytopic for CSAT.

    Linear equations are very important for aptitude exams, from two angles

    1. direct MCQs about age, coins, salary, expenditure related problems2. Indirect applications in time-speed-distance-work; profit-loss-SI-CI;

    Geometry problems etc.

    L1: Age problems: silly mistakes

    Q. 20 years ago, Bhootnath was 12 times the age of Abdul. At present,Bhootnath is twice as old as Abdul blah blah blah

    were presented with two conditions

    Condition Wrong Right

    I. 20 years ago, Bhootnath was 12 timesthe age of Abdul

    B-20=12A or

    B=12(A-20)

    (this is the most common

    mistake)

    B-20=12(A-

    20)

    II. Bhootnath is twice as old as Abdul2B=A B=2A

    Many candidates make wrong equations as shown above, then get wronganswer. Examiner would have even listed wrong answer in option. So juntahappily ticks such option, my paper went so good, then they fail & blame

    nepotism, corruption and DP Agrawal for everything.

    How to avoid silly mistake?

    In age problems, always prepare a table beginning with present age. Observe

    At present, Bhootnath is twice as old as Abdul

    present age

    A and B

    Eq1. B=2A

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    20 years ago, so make a column on left side:

    Age 20 years ago: present age

    A-20

    B-20 A and B

    Eq1. B=2A

    Then make second equation: 20 years ago, Bhootnath was 12 times the ageof Abdul

    age 20 years ago (-20) present age

    A-20

    B-20 A and B

    Eq2. B-20=12(A-20) Eq1. B=2A

    Now plug the value of B from Eq1. into Eq2 and youll solve this effortlessly.

    L2: keep minimum variables

    Suppose the question is like this The sum of present ages of Abdul andBhootnath is 56. 5 years ago Abduls age was.blah blah blah.find thepresent age of Bhootnath.

    avoid this approach use this approach

    assume Abdul present age A

    Bhootnath present age B

    assume Bhootnaths present Age

    B

    assume Abduls present age

    =(56-B)

    Here you assumed two variables A

    and B= lengthiercalculations and

    increased chances of silly mistakes.

    Here youve to worry about only

    one variable B. The moment

    you solve B, you get answer.

    L3: Cannot be determined

    Suppose you end up with two equations like this:

    I. x+y=5II. y+z=6

    Here youve two equations but three variables (x, y and z). You can never findout the unique value of x, y, z in such situation. Hence answer = Cannot be

    determined. But sometimes, even two variable-two equation set can beimpossible to solve. For example

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    No solution infinite solution

    I. x+ 2y=4II. 2x+ 4y= 12 2x+ 3y=94x+ 6y=18

    To learn more about ^this, refer to NCERT Maths Class 10, Chapter3,table given on the page #9.

    Examiner will test this by offering you both choice Cannot bedetermined; sometimes even data sufficiency (DS) question. Makesure you pick the right answer in right situation.

    Anyways, lets proceed with preparations:

    @Those weak in maths @Those good at maths

    Following NCERT 7, 8 and 10, then

    refer your Quant book.

    NCERT Class10. (Because it has some good

    CSAT level sums) Then refer your Quant book: Rajesh Verma or

    Sarvesh Kumar (not both).

    NCERT: Linear Equations

    Class Ch. What to focus for CSAT?

    7 4

    How to convert statements into simple equation.

    example 10 age problem on page 90

    Exercise 4.4 question no. 2 and 3

    7 12

    12.5 Monomials, Binomials, Trinomials & Polynomials (page 233)

    12.6 adding-subtracting simple equations. Solve the four questions given

    immediately. (page 235)

    12.8 formula and rules. page 243

    Formula for no. of diagonals in a figure. Page 246

    Page 247 summary.

    8 2

    Point 2.3 the example given in it page 24

    Page 25 Example 7 age problem

    page 26 Example 8 coin problem Page 26-27 examples 9 to 11

    Exercise 2.2 do all the sums

    Page 30: Example 14 digit reversal

    Page 31: Example 15 about age problem

    Exercise 2.4 do all sums

    Page 35: example 19 age problem

    Page 35: Exercise 2.6 only do Problem 6 and 7.

    10 3

    Everyone should do this, irrespective of how strong / weak in maths.

    Page 46: In what situation, infinite solution / no solutions? Table3.4most important for MCQs.

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    Algebraic method to solve equations

    Page 50 understand the substitution method given in point 3.4.1

    Page 52 Example 9: understand why the answer is cannot be

    determined. Page 53 Exercise 3.3 only solve Question No.3

    Page 54 understand elimination method from example 11 Page 56 example 13: digit reversal problem

    Page 57 Do all the sums under Q.2 of exercise 3.4

    Page 57: solve the apple sum under topic 3.4.5 but avoidthe headache of

    that cross multiplication method. Stick to substitution & elimination

    methods.

    Page 60 ticket problem example 14

    Page 63: do Q.(i) to (v) most important for CSAT.

    Page 65: example 19 avoid that stupid algebra method. Learn Boats and

    streams topic from my [Aptitude] articleclick me.

    Page 67

    Quant book: Linear Equations

    Rajesh Verma Sarvesh Kumar

    First solve chapter 27 then chapter

    7.Chapter 27 linear equation

    Understand the consistency

    system given on first page of

    this chapter.

    then solve all the questions inillustration and exercises

    you may avoid following type

    of questions because no asked

    in UPSC

    o Q.14 in Exercise1

    o Q1 on Exercise2

    Chapter 7: Word problems based

    on numbers

    Focus on digit reversal

    problems and age related

    problems.

    Ch13. Elements of Algebra

    in the initial part of this chapter he talks

    about polynomials, ignore it for the moment

    and directly move to page 525, Linear

    Equation He has explained all four methods to solve

    Linear equations. But stick to substitution

    and elimination method. Combined these

    two, you can handle pretty much every

    question.

    Ex.13: Do Question 10 to 18

    Level 1: Do Question 23 to 31.

    Important: in Level1 exercises question No.

    23 to 31: observe his explanations- how he

    solved them without assuming X or Y, or

    even framing equations. IF you master thistechnique, itll save a lot of precious minutes

    in the exam.

    H2: Number system

    Sample Questions from previous prelims

    1. (2007) A person has to fill three liquids403 lit. Petrol, 465 lt. dieseland 496 lt. motor oil in bottles of equal size without mixing any of above

    http://mrunal.org/2012/04/aptitude-boats-and-streams-made-easy.htmlhttp://mrunal.org/2012/04/aptitude-boats-and-streams-made-easy.htmlhttp://mrunal.org/2012/04/aptitude-boats-and-streams-made-easy.htmlhttp://www.flipkart.com/fast-track-objective-arithmetic-3rd/p/itmd68vjuzdcmrs7?pid=9789351760146&affid=mrunalrugmhttp://www.flipkart.com/fast-track-objective-arithmetic-3rd/p/itmd68vjuzdcmrs7?pid=9789351760146&affid=mrunalrugmhttp://www.flipkart.com/quantitative-aptitude-quantum-cat-common-admission-test-into-iims-7th/p/itmdwqbnmqzd36h5?pid=9789351416401&affid=mrunalrugmhttp://www.flipkart.com/quantitative-aptitude-quantum-cat-common-admission-test-into-iims-7th/p/itmdwqbnmqzd36h5?pid=9789351416401&affid=mrunalrugmhttp://www.flipkart.com/quantitative-aptitude-quantum-cat-common-admission-test-into-iims-7th/p/itmdwqbnmqzd36h5?pid=9789351416401&affid=mrunalrugmhttp://www.flipkart.com/fast-track-objective-arithmetic-3rd/p/itmd68vjuzdcmrs7?pid=9789351760146&affid=mrunalrugmhttp://mrunal.org/2012/04/aptitude-boats-and-streams-made-easy.html
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    liquids. What is the least possible number of bottles required?Ans.HCF will be 31. Then divide it with each number, youll get total numberof bottles: 44.

    2. (2009) while adding the first few continuous natural numbers, acandidate missed one of the number and wrote a wrong answer 177.Which number did he miss? Ans. Sum of the first n natural numbers isn(n+1)/2, but he missed x, so [n(n+1)/2] minus x = 177. Once you plugin the options, only x=13 will satisfy this equation.

    3. (2011) three persons start walking together and their steps measure 40cm, 42 cm and 45 cm respectively. What is the minimum distance eachshould walk so that each can cover the same distance in completesteps? Ans. whether its bells ringing together or bulbs lighting togetheror people walking together-youve Find LCM of those numbers. 25 m 20cm

    4. (2013) A gardener has 1000 plants. He wants to plant them in such away that the number of rows and the number of columns remains thesame. What is the minimum number of plants that he needs more forthis purpose? Ans. Whenever you have to arrange soldiers or flowersor trees in Equal Row n equal column, then you have to make it square.

    Add 24 more trees so it becomes 1024=3232.

    These are not really difficult questions, most of them can be solved withoutmugging up any formulas. You just need a good grip over basic concepts.

    POOR IN MATHS GOOD IN MATHS

    begin with NCERT

    (chapter wise list given

    below)

    Then use Quant books.

    No need for NCERT.

    Directly use your Quant book. Refer to appendix

    of this article, for what to prepare and what to skip

    in the quant books.

    NCERT: Number system

    NCERT Chapter Topic to focus for CSAT

    7

    2.Fractions andDecimals

    1. proper, improper, mixed fraction2. Ex.2.1s example 63. Example 5 on page354. Example 6 on page39

    9. rational

    numbers

    1. topic 9.7 comparison of numbers- page 1792. example 6: direction sense test page 1863. summary from page 191-92

    8

    1.Rational

    numbers

    Table 1.2 the properties of rational numbers.Topic 1.4 how to

    find rational number between two rational numbers.

    16. Playing with

    numbers.Divisibility rules for 2,3,5,9

    9 1.Number basic concept of recurring decimals: example 8topic 1.6 laws of

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    system exponents for real numbers page 241.7 summary page 27

    10 1.Real numbers

    HCF, LCM how to find

    Page 10 Example 6, 8 and the remark given at bottom of

    it.

    Page 11: Question 7 important concept for circular race

    tracks. Page 19 note to reader.

    IgnoreEuler and irrational numbers.

    NCERT Powers & Exponents

    NCERT Chapter Topic to focus for CSAT

    713.Exponents &

    powers

    comparing numbers with powers

    how even-odd powers change the sign of negative

    numbers

    13.6 expressing large numbers in std.form

    8

    6. squares and square

    roots

    table in 6.2

    Numbers between square numbers- the lines given

    in italics.

    6.4.2 Pythagorean triplets

    6.7 estimating square root.

    7. Cube and Cube

    roots

    geometry angle- example 7.2.2

    12.Powers

    12.3 Laws of exponents, 12.4.1 Comparing very large and very small

    numbers.

    Related articles under my [Aptitude] series:

    1. LCM-HCF Simplified2. Remainders: one number and two divisors

    After this is done, you have to solve all questions from your quant book. Evensolve the already solved sums given in the illustrations. Refer to bottom ofthis articleAppendix A3,for what to prepare what to skip from Rajesh /Sarvesh.

    H3: Percentages, Profit Loss, SI- CI

    Sample Qs. from previous prelims

    1. (1998) A man bought two clocks A and B for total Rs.650. He sold A at

    20% profit and B at 25% loss. If he had kept selling price of both clocksthe same, then what were the cost prices of each clock? Ans. It

    http://mrunal.org/2013/03/aptitude-lcm-hcf-gcd-basic-concept-calculation-applications-explained.htmlhttp://mrunal.org/2013/03/aptitude-lcm-hcf-gcd-basic-concept-calculation-applications-explained.htmlhttp://mrunal.org/2013/01/aptitude-remainder-one-number-and-two-divisors-number-theory.htmlhttp://mrunal.org/2013/01/aptitude-remainder-one-number-and-two-divisors-number-theory.htmlhttp://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#1024http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#1024http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#1024http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-free-studymaterial-part-2-3.html/print/#1024http://mrunal.org/2013/01/aptitude-remainder-one-number-and-two-divisors-number-theory.htmlhttp://mrunal.org/2013/03/aptitude-lcm-hcf-gcd-basic-concept-calculation-applications-explained.html
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    requires your understanding of linear equation, percentages and profitloss. As cost price 250, and Bs 400.

    2. (2002) Trader fixed the price of an article in such way that by giving arebate of 10%, he made profit of 15%. If the cost of the article is Rs.72,what is the selling price? Ans. 92 rupees.

    3. (2005) Left pan of a faulty weigh weighs 100 gms more than the rightpan. Shopkeeper keeps the weight measure in left pan while buyinggoods but keeps it in the right pan while selling goods. He only uses 1kg weight. If he sells goods at the listed cost price, what is hisprofit? Ans. gist of the question is: he frauds 10% in buying and 10% inselling. So, on each trading sequence.

    Hint: Assume 1 gm costs 1 rupee. Find per unit price while buying and selling.

    buying fraud of 100 gm per 1000 gm = 1100 gm

    selling fraud 100 gm per 1000gm =

    900 gm

    Unit cost price per gram= Rs.1000 paid/ per 1100 gm

    bought

    unit SP =Rs. 1000 got/ per 900 gm

    sold

    Effective cost price = 10/11 Effective selling price = 10/9

    Profit % = (SP-CP/CP) x 100= 200/9%

    This is one of those weird/unique question, so note it in your diary ofmistake,

    4. (2010) two numbers X and Y are respectively 20% and 28% less thanthird number Z. By what % is the number Y less than number X.Ans10%

    5. (2010) Difference between simple interest from two banks on Rs.500 fortwo years is Rs.2.5, what is the difference between their rates? Ans.0.25%

    Percentages-NCERT

    As such UPSCs percentage related questions are complicated than theexercises given in NCERT, but still solve NCERT as warm-upexercise formultiplication and division.

    Class 7 Ch8 Class 8 Ch8

    To learn how to solve such MCQs, without mugging up formulas, refer tofollowing articles:

    1. Concepts of Marked Price and Successive Discounts (Profit-Loss) without (stupid)formulas

    http://mrunal.org/2012/11/aptitude-concepts-of-marked-price-and-successive-discounts-profit-loss-without-stupid-formulas.htmlhttp://mrunal.org/2012/11/aptitude-concepts-of-marked-price-and-successive-discounts-profit-loss-without-stupid-formulas.htmlhttp://mrunal.org/2012/11/aptitude-concepts-of-marked-price-and-successive-discounts-profit-loss-without-stupid-formulas.htmlhttp://mrunal.org/2012/11/aptitude-concepts-of-marked-price-and-successive-discounts-profit-loss-without-stupid-formulas.htmlhttp://mrunal.org/2012/11/aptitude-concepts-of-marked-price-and-successive-discounts-profit-loss-without-stupid-formulas.htmlhttp://mrunal.org/2012/11/aptitude-concepts-of-marked-price-and-successive-discounts-profit-loss-without-stupid-formulas.html
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    2. Compound Interest Rate, Population Growth without Formulas3. Alligation: Advanced applications in Interest rates, Profit-loss, Average Wages (Wine-

    Water Concept)4. Product Consistency: If Sugar price increases then consumption should be Decreased by

    What %, Time-Speed-Distance problems,

    After this is done, you have to solve all questions from your quant book. Evensolve the already solved sums given in the illustrations. Refer to bottom ofthis article, for what to prepare what to skip from Rajesh / Sarvesh.

    H4: Ratio Proportion Variation Partnership (RPVP)

    Sample Qs. from previous prelims

    1. (1998) If 15 pumps of equal capacity can fill a tank in 7 days, then howmany extra pumps will be required to fill the tank in 5 days? Ans.6 (youcan solve this as pipes n cisterns / speed-time-distance problem also.ultimately its a problem of inverse relation between speed vs time)

    2. (2002) Amit Shah started a business with investment of Rs.30,000.Rahul Gandhi joined after some time and invested Rs.20,000. At theend of year, profit was divided in the ratio of 2:1. After how manymonths did Rahul join the business? Ans. 3 months

    3. (2013) in a rare coin collection, there is one gold coin for every threenon-gold coins. 10 more gold coins are added to the collection and theratio of gold coins to non-gold coins would be 1: 2. Based on theinformation; the total number of corns in the collection now becomeswhat? Ans. 90

    4. (2013) Out of 120 applications for a post, 70 are male and 80 have adrivers license. What is the ratio between the minimum to maximumnumber of males having drivers license?Ans. 3:7

    5. (2013) the tank-full petrol in Aruns motor-cycle lasts for 10 days. If hestarts using 25% more every day, how many days will the tank-fullpetrol last? Ans. 8 days.

    6. (2013) In a garrison, there was food for 1000 soldiers for one month.After 10 days, 1000 more soldiers joined the garrison. How long wouldthe soldiers be able to carry on with the remaining food? Ans. Inversevariation topic.Ans. 10 days.

    7. (NCERT Class8)There are 100 students in a hostel. Food provision forthem is for 20 days. How long will these provisions last, if 25 morestudents join the group? Ans. 16 days.

    8. (NCERT Class8)The scale of a map is given as 1:30000000. Twocities are 4 cm apart on the map. Find the actual distance betweenthem. Ans.1200

    Understand the partnership concept from this article:(Aptitude) Partnershipand profit-sharing made Easy.

    http://mrunal.org/2012/04/aptitude-compound-interest-rate.htmlhttp://mrunal.org/2012/04/aptitude-compound-interest-rate.htmlhttp://mrunal.org/2013/01/aptitude-alligation-interest-rates-profit-loss-average-wages-wine-water-concept.htmlhttp://mrunal.org/2013/01/aptitude-alligation-interest-rates-profit-loss-average-wages-wine-water-concept.htmlhttp://mrunal.org/2013/01/aptitude-alligation-interest-rates-profit-loss-average-wages-wine-water-concept.htmlhttp://mrunal.org/2013/01/aptitude-alligation-interest-rates-profit-loss-average-wages-wine-water-concept.htmlhttp://mrunal.org/2013/01/aptitude-product-consistency-shortcuts-ssc-ibps-csat-cat.htmlhttp://mrunal.org/2013/01/aptitude-product-consistency-shortcuts-ssc-ibps-csat-cat.htmlhttp://mrunal.org/2013/01/aptitude-product-consistency-shortcuts-ssc-ibps-csat-cat.htmlhttp://mrunal.org/2013/01/aptitude-product-consistency-shortcuts-ssc-ibps-csat-cat.htmlhttp://mrunal.org/2012/05/aptitude-partnership-and-profit-sharing.htmlhttp://mrunal.org/2012/05/aptitude-partnership-and-profit-sharing.htmlhttp://mrunal.org/2012/05/aptitude-partnership-and-profit-sharing.htmlhttp://mrunal.org/2012/05/aptitude-partnership-and-profit-sharing.htmlhttp://mrunal.org/2012/05/aptitude-partnership-and-profit-sharing.htmlhttp://mrunal.org/2012/05/aptitude-partnership-and-profit-sharing.htmlhttp://mrunal.org/2013/01/aptitude-product-consistency-shortcuts-ssc-ibps-csat-cat.htmlhttp://mrunal.org/2013/01/aptitude-product-consistency-shortcuts-ssc-ibps-csat-cat.htmlhttp://mrunal.org/2013/01/aptitude-alligation-interest-rates-profit-loss-average-wages-wine-water-concept.htmlhttp://mrunal.org/2013/01/aptitude-alligation-interest-rates-profit-loss-average-wages-wine-water-concept.htmlhttp://mrunal.org/2012/04/aptitude-compound-interest-rate.html
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    PS: Even those good at Maths MUSTdo the sums from Class8 Chapter 13.

    Class Ch. What To Focus

    7 8

    Basics of Ratios. Although most of the chapter is focused on percentages. too

    rudimentary stuff, use it just for warm up exercise for multiplication and

    division.

    8 13

    Basics of variation.

    page 207 example5 interesting

    Page 208 exercise 13.1 Question 5 to 10

    Page 212 example 7, 8 and 9. Question 8. MOST IMPORTANT- how

    long the food will last. This type of questions asked in CSAT. Understand

    the concept well.

    Exercise 13.2 Q4 to 11. Notice Q5, its identical to the food lasting

    problem.

    Then solve your Quant book. Refer appendix for what to prepare, what to skip.

    H5: Speed Time Distance Work (STDW)

    This is fourth block, because these sums also test your understanding ofLinear Equation (H1), LCM (H2), Percentages (H3) and ratios (H4). ButJuntaa directly starts preparing STDW without learning first four blocksbecause last time UPSC asked many MCQs from STDW. Such quickfix-shortcut-moodswing based preparation usually lead to #EPICFAIL. You need

    good command over all those basic concepts from H1 to H4. Proceed in asystematic manner.

    Sample questions from previous prelims

    1. (2001) A worker reaches his factory 3 minutes late if his speed from hishouse to the factory is 5 km/hr. If he walks at a speed of 6km/hr, thenhe reaches the factory 7 minutes early. The distance of the factory fromhis house is ___? Ans 5 km

    2. (2004) Two cars X and Y starts from two places A and B respectively

    which are 700km apart at 9 a.m. Both the cars run at an average speedof 60 km/hr. Car X stops at 10 a.m. and again starts at 11 a.m., whilethe other car Y continues to run without stopping. When do the carscross each other? Ans 3:20PM

    3. (2005) Aryan runs at a speed of 40meters/minute. Rahul follows himafter an interval of 5 minutes and runs at a speed of 50 meters/minute.Rahuls dog runs at a speed of 60 meters/minute and starts along withRahul. The dog reaches Aryan and then comes back to Rahul, andcontinues to do so till Rahul reaches Aryan. What is the total distancecovered by the dog? Ans 1200m

    4. (2007) A and B can complete work together in 5 days. If A works attwice his speed and B at half of his speed, this work can be finished in 4

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    days. How many days would it take for A alone to complete his job? Ans10 days

    5. (2010) Three men start together to travel the same way around acircular track of 11km. Their speeds are 4, 5.5 and 8 kmph respectively.When will they meet at the starting point for the first time? Ans 22 hours

    6. (2012) Mr. Kumar drives to work at an average speed of 48km/hr. Thetime taken to cover the first 60% of the distance is 10 minutes morethan the time taken to cover the remaining distance. How far is hisoffice? Ans. 40 km

    7. (2013) A person can walk a certain distance and drive back in six hours.He can also walk both ways in 10 hours. How much time will he take todrive both ways? Ans. 2 hrs

    8. (2013) A thief running at 8 km/hr is chased by a policeman whosespeed is 10 km/hr. If the thief is 100 m ahead of the policeman, then thetime required for the policeman to catch the thief will be what? Ans. 3min

    9. (2013) A train travels at a certain average speed for a distance of 63 kmand then travels a distance of 72 km at an average speed of 6 km/hrmore than its original speed. If it takes 3 hours to complete the totaljourney, what is the original speed of the train in km/hr? Ans.42 kmph

    NCERT not much useful here, because it runs on the LCM method anddoesnt dwell on all varieties of questions.

    STDW is made up of two topics

    1. Speed time distancecars, trains, platforms, boats etc.

    2. Speed time work A can complete a work in., pipe A can fill the tank in etc.

    All of these can be solved through just one formula: STD (speed x time=distance). Go through following articles:

    Time-speed-Distance Time-speed-work

    1. Trains, Platforms TSD (Time,Speed, Distance) made easy

    2. Boats and Streams made-easyusing our STD-Table Method

    3. Average Speed made easywithout Formulas

    4. STD table : Application in trainman bridge, time and work

    problems5. Time n Distance: Early and late

    to office (shortcut using product

    consistency method)6. Product Consistency: Time-

    1. [Speed Time Work] Two Men can finish awork, A is 3x more efficient than B, B leaves

    before completion & variety of cases

    2. [Speed Time Work] Three men can finish awork in x days, A & B start work, C joins

    after x day, share in wages & other special

    cases

    3. Time n Work: 4 men and 6 women cancomplete a work in 8 Days then

    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ses.htmlhttp://mrunal.org/2012/11/speed-time-work-three-men-can-finish-work-x-days-share-wages-special-cases.htmlhttp://mrunal.org/2012/11/speed-time-work-two-men-can-finish-work-3x-efficient-b-b-leaves-completion-variety-cases.htmlhttp://mrunal.org/2012/11/speed-time-work-two-men-can-finish-work-3x-efficient-b-b-leaves-completion-variety-cases.htmlhttp://mrunal.org/2012/11/speed-time-work-two-men-can-finish-work-3x-efficient-b-b-leaves-completion-variety-cases.htmlhttp://mrunal.org/2013/01/aptitude-product-consistency-shortcuts-ssc-ibps-csat-cat.htmlhttp://mrunal.org/2013/01/aptitude-time-n-distance-early-and-late-to-office-shortcut-using-product-consistency-method-for-ssc-ibps-csat-cat-cmat.htmlhttp://mrunal.org/2013/01/aptitude-time-n-distance-early-and-late-to-office-shortcut-using-product-consistency-method-for-ssc-ibps-csat-cat-cmat.htmlhttp://mrunal.org/2013/01/aptitude-time-n-distance-early-and-late-to-office-shortcut-using-product-consistency-method-for-ssc-ibps-csat-cat-cmat.htmlhttp://mrunal.org/2013/02/aptitude-q-std-table-application-in-train-man-bridge-time-and-work-problems.htmlhttp://mrunal.org/2013/02/aptitude-q-std-table-application-in-train-man-bridge-time-and-work-problems.htmlhttp://mrunal.org/2013/02/aptitude-q-std-table-application-in-train-man-bridge-time-and-work-problems.htmlhttp://mrunal.org/2012/05/aptitude-tsd-average-speed-made-easy.htmlhttp://mrunal.org/2012/05/aptitude-tsd-average-speed-made-easy.htmlhttp://mrunal.org/2012/04/aptitude-boats-and-streams-made-easy.htmlhttp://mrunal.org/2012/04/aptitude-boats-and-streams-made-easy.htmlhttp://mrunal.org/2012/03/aptitude-trains-platforms-tsd.htmlhttp://mrunal.org/2012/03/aptitude-trains-platforms-tsd.html
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    Speed-Distance problems

    Once youveunderstood this STD table concept, then apply it while solvingthe illustrations and exercises given in your quant book.

    H6: Averages, Allegations

    1. (1996) If the average of A, B and C is 14. Twice the sum of B and C is30. What is the value of A? Ans. 27

    2. (1997) the average monthly income of a person in a certain family of 5is Rs.1000. What will be monthly average income of person in the samefamily if the income of one person increased by Rs. 12,000 per year?Ans. 1200

    3. (2011) A student on her first 3 tests received an average score of Npoints. If she exceeds her previous average score by 20 points on herfourth test, then what is the average score for the first 4 tests? (Ans.N+5)

    NCERTs dont provide the street-smart techniques OR the requisite variety ofquestions asked in aptitude exams. They mainly deal from Statistics angle.(Statistics is asked but low-priority for CSAT).

    So, instead of NCERTS, first go through following articles:

    [Aptitude] Averages: Entry / Removal of 1 element => Increase / Decrease in Average

    Shortcut method explained [Aptitude] Averages: More than two elements added / removed : shortcut technique

    explained [Aptitude] Alligations,Mixtures,Alloys: Water,Milk,Wine mixing: Weighted Average

    Made Easy for CSAT,CAT,CMAT,IBPS Aptitude [Aptitude Q] Mixture and Alligiation: Change Alcohol concentration from

    15% to 32% [Aptitude] Alligation: Advanced applications in Interest rates, Profit-loss, Average Wages

    (Wine-Water Concept)

    Then solve all the illustrations and examples from your Quant book.

    if you really want to learn the basics, consult following NCERT chapter(although quite unnecessary because everyone knows this much basic.)

    class ch

    7 3

    8 5, 15 (These are useful for data interpretation though)

    9 14

    10 14

    http://mrunal.org/2013/01/aptitude-product-consistency-shortcuts-ssc-ibps-csat-cat.htmlhttp://mrunal.org/2013/01/aptitude-product-consistency-shortcuts-ssc-ibps-csat-cat.htmlhttp://mrunal.org/2013/02/aptitude-averages-entry-removal-of-1-element-increase-decrease-in-average-shortcut-method-explained.htmlhttp://mrunal.org/2013/02/aptitude-averages-entry-removal-of-1-element-increase-decrease-in-average-shortcut-method-explained.htmlhttp://mrunal.org/2013/02/aptitude-averages-entry-removal-of-1-element-increase-decrease-in-average-shortcut-method-explained.htmlhttp://mrunal.org/2013/02/aptitude-averages-entry-removal-of-1-element-increase-decrease-in-average-shortcut-method-explained.htmlhttp://mrunal.org/2013/02/aptitude-averages-entry-removal-of-1-element-increase-decrease-in-average-shortcut-method-explained.htmlhttp://mrunal.org/2013/02/aptitude-averages-more-than-two-elements-added-removed-shortcut-technique-explained.htmlhttp://mrunal.org/2013/02/aptitude-averages-more-than-two-elements-added-removed-shortcut-technique-explained.htmlhttp://mrunal.org/2013/02/aptitude-averages-more-than-two-elements-added-removed-shortcut-technique-explained.htmlhttp://mrunal.org/2013/02/aptitude-averages-more-than-two-elements-added-removed-shortcut-technique-explained.htmlhttp://mrunal.org/2013/02/aptitude-averages-more-than-two-elements-added-removed-shortcut-technique-explained.htmlhttp://mrunal.org/2012/03/aptitude-alligationsmixturesalloys.htmlhttp://mrunal.org/2012/03/aptitude-alligationsmixturesalloys.htmlhttp://mrunal.org/2012/03/aptitude-alligationsmixturesalloys.htmlhttp://mrunal.org/2012/03/aptitude-alligationsmixturesalloys.htmlhttp://mrunal.org/2012/03/aptitude-alligationsmixturesalloys.htmlhttp://mrunal.org/2013/01/aptitude-alligation-interest-rates-profit-loss-average-wages-wine-water-concept.htmlhttp://mrunal.org/2013/01/aptitude-alligation-interest-rates-profit-loss-average-wages-wine-water-concept.htmlhttp://mrunal.org/2013/01/aptitude-alligation-interest-rates-profit-loss-average-wages-wine-water-concept.htmlhttp://mrunal.org/2013/01/aptitude-alligation-interest-rates-profit-loss-average-wages-wine-water-concept.htmlhttp://mrunal.org/2013/01/aptitude-alligation-interest-rates-profit-loss-average-wages-wine-water-concept.htmlhttp://mrunal.org/2013/01/aptitude-alligation-interest-rates-profit-loss-average-wages-wine-water-concept.htmlhttp://mrunal.org/2013/01/aptitude-alligation-interest-rates-profit-loss-average-wages-wine-water-concept.htmlhttp://mrunal.org/2012/03/aptitude-alligationsmixturesalloys.htmlhttp://mrunal.org/2012/03/aptitude-alligationsmixturesalloys.htmlhttp://mrunal.org/2013/02/aptitude-averages-more-than-two-elements-added-removed-shortcut-technique-explained.htmlhttp://mrunal.org/2013/02/aptitude-averages-more-than-two-elements-added-removed-shortcut-technique-explained.htmlhttp://mrunal.org/2013/02/aptitude-averages-entry-removal-of-1-element-increase-decrease-in-average-shortcut-method-explained.htmlhttp://mrunal.org/2013/02/aptitude-averages-entry-removal-of-1-element-increase-decrease-in-average-shortcut-method-explained.htmlhttp://mrunal.org/2013/01/aptitude-product-consistency-shortcuts-ssc-ibps-csat-cat.html
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    H7: Data Interpretation (DI)

    GRAPHICAL TEXTUAL

    1. Odd speed graphs, bacterial growth graphs etc.2. bar graphs, pie charts, line graphs

    1. Venn diagrams2. Tabulation

    DI-1: odd- graphs

    [Prelim 1995] The variations in temperatures form 0 degree C to 100degree C with respect to time of two liquids P,Q are shown in the graphgiven below:

    Which one of the following statements is correct?

    a. During heating, liquid P remained hotter than liquid Q throughoutb. At no point of time during heating did the two liquids have the same

    temperaturec. P attained the temperature of 100 degree C faster than Qd. Q attained the temperature of 100 degree C faster than P

    ANSWER. (d)

    [Prelim 1996] Following graph represents a race among four persons.

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    Consider following statements

    1. A stood first in the race2. C led all the way3. D ran faster than others in the later part of the race.

    Answer choices

    1. 1 and 3 false, while 2 correct

    2. 1 and 2 false, while 3 correct3. 1 and 3 correct while 2 false4. 1 is correct; 2 and 3 false.

    Correct answer: (B)

    hint: you should add numbers on both axis, then find what time each took tofinish the race. youll see D won the race.

    [Prelim 1999]The yield versus fertilizer input is shown in the graph.

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    Consider the following statements based on this graph:

    1.Yield rate is zero at B and C

    2.There is no yield with no fertilizer input

    3.The yield is minimum at D

    4.The yield is neither minimum nor maximum at C

    Which of the above statements are correct?

    a. 1,2 and 4b. 3 and 4c. 2 and 3

    d. 1,3 and 4

    ANSWER.(b)

    [Prelim 2000]The following figure represents time vs learning curves oftwo students,Q and R forlearning a Mathematics lesson:

    Which one of the following can be drawn from the graph?

    a. R started slowly in the beginning but got ahead of Q to completelearning the lesson

    b. Q started slowly and finished learning the lesson earlier than Rc. R was always faster than Q in learning Mathematicsd. Q was always faster than R in learning Mathematics

    ANSWER.(a)

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    Hint: add numbers on both axis, then youll see who is learning to what pace.Youll also find odd graphs in last three CSAT papers (attached at bottom ofthis article). Im not copying them here because more images=slower loadingwebpage.

    I call them odd graphs because usually unseen in other aptitude exams, evenCAT. But these graphs are not falling from sky, topic is given in NCERT. Firstunderstand following concepts from NCERT Class8, Chapter 15 Graphs

    Page 234-35: Example1 two cricketers performance graph Page 235-36: Example2 car average speed graph Exercise 15.1: Q1 Patients temperature Page 237-38 Q3. growth of two plants A and B Page 238: Weather forecast vs actual temperature graph Page 239: understand the concept in Q7

    In the real CSAT, usually they dont give numbers on the axis. But if you wantto solve them with NCERT technique, then youve to write numbers on yourown understanding. Observe following image

    Once you add numbers like this, it becomes very easy to compare P vs Q andeliminate options accordingly.

    Where to get additional practice?

    Youre unlikely to find such odd graphs practice questions easily. Theyreusually not asked in Bank and CAT. Although theyre sporadically asked inCDS, CAPF and SCRA exams (For all four major exams of UPSC, the

    Examiner seems to be utilizing the same DI Question bank from the secretserver in the basement of UPSC Headquarter). But again cost:benefit not that

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    great IF you start digging through all previous papers of CDS, CAPF andSCRA = too time consuming exercise. Anyways, you will find a few suchquestion under

    1. aptitude manuals2. CST magazines mock tests.

    You dont have to specifically buy them only for the ODD graphs. Borrowwhatever you can from library / friend circle.

    DI-2: bar graphs, pie charts

    Im not adding their samples questions here, becausedozens of images=slow loading webpage, especially on mobile browser.

    But youll find the samples in the last 3 CSAT papers attached belowthe article.

    Difficulty wise- above SSC and little below BankPO

    Data Interpretation in BankPO/ CAT UPSC CSAT

    Often require lengthy calculation and long divisions,

    even prime numbers (17,19, 23,37 etc.).

    Usually calculations are easy

    youve to do 10%, 20%, 25% of

    something and youll get the

    answer.

    requires you to find exact mathematical answer.

    often the four options are very close

    (16.5,16.7,16.55,16.67) so you cant eliminate

    wrong choices by logic or guestimation, youve

    to do exact calculation without any mistakes.

    Usually give you 3-4 text

    statements and ask which

    one of them are correct asper the given chart.

    Meaning they dont usually

    require you to find exact

    mathematical answer.

    Although youve to do

    maths /apply logic to

    eliminate the wrong

    statements.

    To make difficult questions from pie chart, they

    usually make a combo of

    o two pie charts OR

    o 1 pie chart + 1 bar graph or

    o 1 pie chart + 1 table.

    Same

    To get a basic overview of Pie charts, bar graphs etc you can consult NCERTclass8 chapter 5. But as such it doesnt contain any street smart tricks ORsums relevant to CSAT. Therefore, to gain command youve to get practice.Where to get practice DI sets?

    1. SSC sets far easier than CSAT. so avoid

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    2. CAT sets will be an overkill. so avoid3. Hence your best bet is bank PO exam papers. But even in them, avoid

    sets that require lengthy calculations and long divisions. Yes but whereto get BankPO papers? Ans. hit the library and

    o go through monthly issues of Pratiyogita Darpan or bankingservice chronicle

    o CST (Civil service times) magazine gives demo CSAT paperswith DI

    o Arihant/Kiran publication books papersets

    Quant books usually dont give many DI sets whether its Rajesh, Sarvesh orArun Sharma. Its a clever marketing trick to sell another separate book for DI.But for CSAT DI, you dont need any separate book. Also dont waste time oninternet gathering bank paperstheyre usually too scattered and bad PDFquality. Just hit the library and go through those magazines.

    DI-3: Venn Diagrams

    Sample questions from previous prelims:

    1. [1998] There are 50 students admitted to a nursery class. Somestudents can speak only English and some can speak only Hindi. 10students can speak both English and Hindi. If the number of studentswho can speak English is 21, then how many can speak Hindi, howmany can speak only Hindi and how many can speak only English?Ans. 39,29 and 11 respectively

    2. [2000] In an examination, every candidate took Physics or Mathematicsor both. 65.8% took Physics and 59.2% took Mathematics. The totalnumber of candidates was 2000.How many candidates took bothPhysics and Mathematics? Ans. 500

    3. [2001] In a survey,it was found that 80% of those surveyed owned a carwhile 60% of those surveyed owned a mobile phone. If 55% owned botha car and a mobile phone, what percent of those surveyed owned a carand a mobile phone or both? Ans. 85%

    4. [2011-II] There are 100 students in a particular class. 60% students playcricket, 30% student play football and 10% students play both thegames. What is the number of students who play neither cricket norfootball? Ans.20

    There are two sub types:

    1. logical Venn diagrams (we saw in previous article)2. mathematical Venn diagrams (that well see here)

    Dont assume A+B=total

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    Q. In a society 10 people drink tea, 4 people drink both coffee andtea..blah blah blah..find total people in the society.

    Wrong Approach Right Approach

    Total people in society =+ only tea

    drinkers+ only coffee drinkers+ (those who

    drink both tea & coffee)

    Total people in society =+ only tea drinkers+

    Only coffee drinkers+ (Those who drink both

    tea & coffee)

    + Those who drink neither tea nor coffee

    (n)

    This is juntaas most common mistake in

    Venn diagram. they forget about n

    Read the question description carefully. If

    and when required take n=0.

    As such Venn diagram is class11 topic but UPSC has repeatedly asked it bothin pre-CSAT and CSAT era. Perhaps, examiner considers it Reasoning and