Mrunal (http://mrunal.org/) [Studyplan] CSAT Aptitude Paper 2: Maths & Data Interpretation-High priority topics, Sample Questions, free studymaterial (part 2 of 3) Aptitude (http://mrunal.org/category/aptitude) / 11 months Ago / 85 Comments (http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretatio English: SP Bakshi (http://www.flipkart.com/objective-generalenglish-2012/p/itmdyuqqgafhtehp? pid=9788183480000&affid=mrunalrugm) 1. 2. 3. Math haters are grave diggers 1. #1: 2012 unlikely to repeat 2. #2: GS Strength doesn’t compensate math weakness 3. #3: One lakh Delhi aspirants 4. #4: Maths = competitive edge + peace of mind Mathematics: What to ignore? 1. Doubtful syllabus topics in Mathematics 2. Highest priority (finish them first) 3. Medium priority 4. Low Priority CSAT Math doesn’t not fall from sky but NCERTs 1. Gather the weapons 2. Which Quant book? 3. Don’t waste time learning Speed maths / Vedic maths 4. High priority topics 5. H1: Linear Equations 6. 1. NCERT: Linear Equations 2. Quant book: Linear Equations H2: Number system 1. NCERT: Number system 2. NCERT Powers & Exponents 7. H3: Percentages, Profit Loss, SI- CI 8. H4: Ratio Proportion Variation Partnership (RPVP) 9. H5: Speed Time Distance Work (STDW) 10. H6: Averages, Allegations 11. H7: Data Interpretation (DI) 1. DI-1: odd- graphs 2. DI-2: bar graphs, pie charts 3. DI-3: Venn Diagrams 4. Don’t assume A+B=total 5. DI-4 Tabulation questions 12. H8: Geometry: Area volume perimeter (AVP) 13. Appendix: Download links 1. A1: Last three years official CSAT papers 2. A2: NCERT Mathematics Topicwise Sorted free download 3. A3: Quant books: What to prepare, what to skip? So far in the CSAT paper-2 study plan 1. Comprehension and Reasoning (http://mrunal.org/2014/06/studyplan-csat-aptitude-paper2-comprehension-reasoning-analysis-previous-papers-free-studymaterial-cutoffs-part-12.html) 2. Mathematics & Data Interpretation: high priority topics (http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-maths-data-interpretation-highpriority-topics-sample-questions-free-studymaterial-part-2-3.html) You’re here 3. Decision Making + Mathematics: Medium & low priority topics (http://mrunal.org/2014/06/studyplan-csat-aptitude-paper-2-decision-making-mathsmedium-low-priority-topics-sample-questions-free-studymaterial-part-3-3.html) Math haters are grave diggers Many of you have this mindset / strategy: 1. I hate maths / I’m weak in maths. Therefore, I’ll pump extra hours in General studies to compensate for my poor command over mathematics. 2. Prelim marks not counted in final merit list, and maths is not going to be asked in mains. so why bother. Besides, in 2012 only 3 questions were asked! 3. xyz person on xyz forum said he managed to crack CSAT without preparing maths. Same Cinderella story will repeat in my case. 4. In last three years, average cutoff was ___. So, so if I tick __ Questions in GS paper I and __ questions in comprehension /reasoning, I can easily reach cutoffs, without bothering about maths. To all such aspirants, I’ve 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. maths only 3 MCQs = dream come true for math haters. 17 MCQs = = ~1/5th of paper. ONLY THREE QUESTIONS FROM MATHS IN 2012! WILL THOSE “ACCHE DIN” COME AGAIN? Ok so why did the “Achhe din” end? Why didn’t UPSC ask just three Maths MCQs in 2013, like they did in 2012? You can unravel this mystery by looking at “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 (http://mrunal.org/2014/03/nigvekar-prelim-reformsless-comprehension-csat-take-online-exam-two-years-validity-transparency-part-24.html#14) & recommends following In CSAT Paper II: too many questions were asked from comprehension section, 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 English part in CSAT, and instead set bit tougher questions in the compulsory English paper at mains level. 26th May 2013: CSAT 2013 exam. Comprehension reduced from 50% to 40%, consequently, maths questions increased from 3 to 17, to fillup the total 80 questions quota. Even in mains2013, compulsory English paper was lengthier (http://mrunal.org/2013/12/downloadcompulsory-english-2013-question-paper-of-upsc-civil-service-mains-exam-last-17-years-asbonus1997-2013.html#1) than 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. #2: GS Strength doesn’t compensate math weakness Prof.Nigvekar Committee observed: CSAT Paper-I (General studies) is difficult compared to paper-II (Aptitude test). The candidates who are good in general studies, are at disadvantage, because they can’t get any edge with general studies. On the other side, candidates good in paper-II(Aptitude) gets advantage, & they can make though the exam even without much study of general studies. (Therefore) Aspirants with engineering background formed the major chunk of aspirants who 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 in aptitude. Given the large influx of Engineer-UPSC aspirants post sub-prime crisis and mushrooming selffinanced colleges, IF you (non-Engineers) think you can compensate your weakness in maths/aptitude by pumping more hours in General studies => then you’re making a grave mistake. You have to tame the bull (maths) by the horns (continuous practice). #3: One lakh Delhi aspirants In April 2014, UPSC wrote a letter to DoPT (https://docs.google.com/file/d/0B0DPgaYAtDgmTW9YVi0xUkY4NUk/edit), requesting more officers to be deployed for exam duty because: 1. more than 10 lakh people expected to apply for CSAT-2014 2. Out of them more than 1 lakh people from Delhi alone. (This is UPSC’s estimation!). 10 lakh is not worrisome, because most of them are non-serious people applying just because papa said (JBPS). But 1 lakh from Delhi alone= that is a disturbing number. Because majority of them would be full-time dedicated aspirants migrated to Delhi for the sole purpose of UPSC preparation. Therefore, competition will be cutthroat than ever before. In recent years, even Hyderabad, Bangalore, Chennai, Indore, Lucknow and A’bad are also fast turning into Delhi like centres i.e. where many aspirants rent a room and full time dedicate to UPSC preparation with or without coaching. In this environment, you’ve to extract every mark you can, from every section you can. Hating maths is not a good idea. Remember: Sincere candidates don’t fail prelims by 100 marks, they fail by a margin of just few marks below the cutoff. And in most cases, they could have avoided failure by keeping alert on negative marking, and extracting a few easy questions from the subjects they disliked. #4: Maths = competitive edge + peace of mind Today every sincere player knows he has to prepare NCERT, Laxmikanth (http://www.flipkart.com/indian-polity-4th/p/itmdmmsnbhqfwj3a? pid=9781259064128&affid=mrunalrugm), and Economic Survey. So command over those books = just minimum height n chest requirement in military recruitment. Not a competitive On the other side. But given the tough nature of GS-MCQs. Last year pretty much every regular reader of Mrunal.5 = 30 marks. maths can easily help raise your score by atleast 30** marks than the crowd. algae/biofertilizers and critically endangered species. **based on 2011 and 2013 trend. it’s just a ‘minimum system requirement’ (MSR). you can completely focus on mains preparation. no longer a competitive edge. Then. caves. Again. doesn’t automatically ensure selection. that too after spending months in mugging up fifty dozen festivals.edge. and ensure peace of mind until prelim result comes. then at least 12 of them will be solvable even with moderate preparation. People have been trying to get competitive edge over others by doing PH.org ticked 12-15 correct in Economy. rather than worrying about cutoffs in online forums. if UPSC asks 15-17 maths questions. Mathematics / Basic Numeracy: How much upto ClassX? Maths internal breakup in last 3 CSAT Maths Topic Subtopic 2011 2012 2013 HCF. tribes. environment.LCM 1 0 1 Ratio Proportion 1 1 4 Linear EQ 1 0 1 Subtotal: Basic 3 1 6 STDW Speed Time Distance Work 2 1 4 Stat averages 1 1 0 Pie chart 2 0 5 Tabulation 3 0 0 Speedgraphs Interpretation 3 0 1 Bacterial growth 3 0 0 Age pyramid 1 0 0 Basic Data Interpretation (DI) .D on Culture. all that labour barely translates to additional 10-15 marks. science. 12 x 2. etc. data sufficiency etc. graphs.” It only says: Basic numeracy (numbers and their relations. – Class X level) This “etc.) 3 0 0 geometry 1 0 0 AP. parallelograms and even coordinate geometry. Should we prepare such topics or not? CSAT system is just three years old. this and this.) (Class X level) Data interpretation (charts.” word is dangerous.with four athletes A. So far ~43 total maths questions asked in 2011. trigonometry. various phases 1999: fertilizer input vs yield .C.B. 2011: UPSC introduces CSAT system. GP 1 0 1 Subtotal: Odd balls 5 0 1 Basic+Stat+STD+DI 23 3 17 28.D 2011: water contamination.25 % out of 80 MCQs UPSC’s official syllabus doesn’t specifically say “we’ll not ask this.B. public believed that UPSC will completely “revamp” its Aptitude Question bank in its secret computer database. probability.C running and asked who won the race. This sample size too small to make projections that “x” topic will always be asked and “y” topic will never be asked.oddballs Maths Total Subtotal: DI 12 0 6 Permutation combination (how many figures possible etc. Because upto class X level NCERT textbooks include statistics. 12 and 13. who was very slow etc.75 21. Observe: CSAT paper II q. tables. 1996. (maths / DI upto class X level) similar asked in pre-CSAT era 2011 they gave a graph of A. orders of magnitude. But UPSC is still asking stuff they used to ask way back in the 90s.75 3. even reasoning.meaning 1. Venn diagram. this time they give speed and time and ask you to find distance and so on …. linear equations.10? Prepare for CSAT? why? Statistics (Cumulative frequency. AND it has been asked in previous prelims (Even before Pre-CSAT era). syllogism. because in 1999 they asked Data interpretation (DI) about cumulative frequency and average for grouped data with class interval. HCF-LCM questions same as above This is just tip of an iceberg. UPSC hasn’t completely revamped its question bank. They did ask “water doubles every five minute” . assumption-inference. 2. Doubtful syllabus topics in Mathematics Topic Taught up to NCERT std.) YES YES Yes. sitting arrangement.history is repeating itself from pre-CSAT era to CSAT era. mode etc. median.2011: comparing speed of two trains 1995: comparing temperature of two liquids time speed distance Questions Regularly asked between 1995-2012.if you look at all the aptitude questions from 1995 to 2013.. GP starts from Class11. If something is taught upto class10. then we should prepare. Just because xyz topic is not asked in last three CSAT = it doesn’t mean UPSC will never ask it in future exams. Many questions are mirroring themselves only names. Arithmetic progression YES YES asked in CSAT 2011 itself. with almost identical difficultly level. if previously they gave time-distance & asked you to find speed. numbers and wording changed. Coordinate Geometry YES YES Asked in 1995 and 1999 prelims. Irrational numbers YES No it’s not asked from 1995 till 2013. YES should be prepared. mugup the “ball rebounding” formula. because asked in 1995. 2001. Divisibility YES YES Asked in 2010. Probability YES Yes Routinely asked this topic up to mid2000s. they asked a Permutation &Combination (Pnc) NO YES question on fundamental countingthat topic is the mother of PnC. 99.Geometric progression NO NO question in 2001. but it could be solved without formulas. they routinely asked this topic upto mid-2000s. parallelogram sides. 97. . 2002. Trigonometry YES YES Ignore radian. maximum minimum values of sin/cos/tan. topics beyond YES YES simple area-volume-perimeter (AVP). 98. height-n-distance problem has been asked in past. and starts only from class11 NCERT. 96. Yes.because that starts from class11-12 and never asked in pre-CSAT or CSAT era. cyclic Non-AVP Geometry Theory quadrilaterals etc. Clock Angles indirectly YES Asked in 98. Non-AVP Geometry theory= interior angle. At max. 2000. 2000 etc. (may be Examiner considers this a “reasoning” topic and not maths) Even in CSAT 2011. Nonetheless. 2001 YES YES Pure mathematical questions related to Quadratic equation (e.Quadratic Equations problems asked in 1995. find “k” etc. Perhaps examiner considers them part of “reasoning” and not mathematics or DI. economy or aptitude. they even asked image based PnC e.whether its polity. not asked so far) Logarithms Venn Diagram NO NO NO Never asked between 1995-2013.96. nature of roots. you’ve to be thoroughly prepared. No. 99. then ignores this topic for 2012 and 2013. so study-priority order should be following: Highest priority (섫涵nish them 섫涵rst) . UPSC examiner has no moral obligations to follow last year’s topic trend. But they were regularly asked both in preCSAT and CSAT era. 2011 he asks arithmetic progression. it may not be feasible to give justice to all the maths topic within ~2 months. HCF-LCM? Hardly two months left before exam!! Ans. Polynomial factorization related Polynomials.g. how many routes possible in 2×2 square diagram to reach from point A to B. geography.in same CSAT 2011. can’t we just focus on time speed distance.g. You’ve to be prepared for all possible topics. YES Venn Diagram starts from NCERT Class11. dang…these are way too many odd topics. linear equation. If you aim to tick 10+ MCQs for a given subject. %. Alligiations 7. Low Priority . You should make room in your schedule to prepare them. Data Interpretation 8. Ratio Proportion Variation 5. Averages. 11. Linear Equation 2. Therefore cost: benefit good. but takes barely 2 hours to master. Number System 3. because You just have to mugup 3-5 formulas and variety of questions is very less.1. Polynomials factorization => only have to do two chapters in NCERT. Speed Time Distance Work 6. Geometry: Area Volume Perimeter Medium priority Following topics not frequently asked. 9. SI-CI 4. Coordinate Geometry => only have to do one chapter in NCERT. profit loss. 10. Arithmetic Progression => only have to do one chapter in NCERT. page 23. Quadrilaterals. let’s begin preparation: CSAT Math doesn’t not fall from sky but NCERTs Some questions directly came from NCERT. Ch 5. put under low priority in terms of study time allotment. page 212 example 7. Ch13. you can tick good number of MCQs. 8 and 9. example 26 2013: food in garrison. how many days will it last? Class8. ch1. Geometry theory: Triangles. polity. Circles (TQC) 13. 12. Low priority means. Q. They’re not difficult but have many variety of questions and formulas=> each of them take more than 4 hours to master. Even the remaining questions. Statistics Anyways. Observe CSAT paper II question similar question in NCERT 2011: contractor penalty Class 10. One book on quantitative aptitude (hence forth referred as “Quant Book”) .15 2011: students who play neither cricket nor football. Class11. Reason: following topics not frequently asked. page 113. Therefore. Trigonometry: only height n distance 14. Gather the weapons 1. just numbers changed. most of them are just slightly difficult than the concepts taught at NCERT level. do them at last depending on how much free time left after allotting time for other high priority topics such as history. science. within your study time table. Permutation Combination Probability 15. environment (for Paper I) and those reasoning-comprehension & other high priority topics under Maths (for Paper II).Low priority doesn’t mean UPSC will *NOT* ask them. you don’t have to be an IIT/CAT ranker……If you can understand even upto NCERT level mathematics. Meaning. economy. note it down in this diary. This is better than a notebook because you can add new pages anywhere as per your requirement. (For those really poor in maths). to maintain “diary of mistakes (http://mrunal.org/2012/03/strategy-art-of-preparing-for-aptitude. 465 lt. No need to “revise” aptitude books or practice sums on that night. ESSENTIAL 3.com/csat-topic-wise-solved-papers-19-years-generalstudies-1995-2013/p/itmdhhccqt4sr3hz? pid=9789382961789&affid=mrunalrugm). but doesn’t dwell into this concept. 3. you need a quant book. consider this (2007) A person has to fill three liquids – 403 lit.html)”whenever you find any new formula. like those poor kids use in government primary schools-It OPTIONAL saves lot of paper wasted in practicing math & reasoning sums. . Contains all papers of GS and aptitude. just read this diary. one separate notebook / file. Topicwise zip file given at bottom. weird MCQ or make mistake. CSAT maths is just slightly more difficult than NCERT exercises. Therefore. 2. since NCERTs alone don’t give all variety of questions and street-smart techniques to save time during exam. A black slate.flipkart.2. motor oil in bottles of equal size without mixing any of above liquids. Petrol. CSAT Topicwise solve papers (1995-2013) by Disha Publication (http://www. then you’ll get total number of bottles required = 44. BUT.topicwise separated for both pre-CSAT and CSAT era. shortcut. For example. then divide each number with HCF. Which Quant book? As such. What is the least possible number of bottles required? While NCERT teaches HCF in class10. got 96%ile. I did the same for CAT. diesel and 496 lt. 1. A folder and loose A4 sized papers-To maintain a diary of mistakes and shortcuts.NCERT Mathematics. Concept is: you’ve to find HCF (31). Night before the exam. AFCAT.com/fasttrack-objective-arithmetic-3rd/p/itmd68vjuzdcmrs7? pid=9789351760146&affid=mrunalrugm) going back to private sector / business CSAT Aptitude Manual by Tata Macgraw Hill (TMH) (http://www. CAT.com/general-studies-civil-services-preliminary-examinationpaper-ii-2014-1st/p/itmdzbznrq2gzqr2?pid=9781259064388&affid=mrunalrugm).com/prepare-quantitative-aptitude-cat6th/p/itmdwqyjag42b5py?pid=9789339205126&affid=mrunalrugm)) Avoid following books .flipkart. depends on your career backup apart from Civil Service Exam. IBPS. Staff Selection (SSC). Arihant (http://www.flipkart. Fast-track to Objective Arithmetic by Rajesh Verma (http://www. ACIO. you need a book on quantitative aptitude.com/quantitative-aptitudequantum-cat-common-admission-test-into-iims-7th/p/itmdwqbnmqzd36h5? pid=9789351416401&affid=mrunalrugm) (OR Arun Sharma (http://www.com/cracking-csat-paper-2-civil-services-aptitudetest-4th/p/itmdzy59psxmjytf?pid=9789351411109&affid=mrunalrugm) or Pearson (http://www.flipkart. NICLAAO.To learn all such variety of questions and concepts.flipkart. SCRA. FCI & other PSU jobs. LIC. Bank. Choice of Quantitative Aptitude book. NCERT are good to learn basic concepts.flipkart. but NCERT alone are insufficient for CSAT.com/pearson-general-studies-paper-ii-civil-servicespreliminary-examinations-2014-1st/p/itmdzd9zzfhenbkw? pid=9789332519923&affid=mrunalrugm) or xyz publication.flipkart.whichever you can find cheapest or second hand CDS. Quantum CAT Sarvesh Kumar (http://www. XAT & other higher level exams. They’re Useless for CSAT and higher level exams. 29). They’re Useless for SSC.60) (2009) A gave half of his coins to B and 4 more besides. It is sufficient. 23. 3. At max.) OR quadratic equations. multiplication. number theory or HCF-LCM. M. If wife is nine years younger than husband. because: 1. what is the age of mother? (Ans. and age of son is half of his mother. geometry theory (parallelograms. and any other 90s era book that bookstorewalla recommends you. Therefore. Don’t waste time learning Speed maths / Vedic maths For CSAT-Just memorize multiplication tables from 2 to 9. square roots etc. don’t waste time in Vedic maths tricks for speed maths. unlike CDS and SSC.Tyra’s book on quicker Maths. If you already know such tricks then good. 2. Even banking & insurance exams – Rajesh Verma’s techniques are faster & easy to understand. don’t test your skill over prime number tables (13. the UPSC data interpretation questions don’t test your speed mathematics or long division skill. you should finish them first: H1: Linear Equations Sample questions from previous prelims (1998) in a family. unlike Bank and CAT exam. CDS and SCRA because they don’t give detailed coverage of Trigonometry. but now is not the right time to learn them fresh. 19. and brother is 7 years older than sister. age of father is three times that of his daughter. division. cube roots.RS Aggarwal’s book on Quantitative Aptitude. circle-tangent etc. It only means while you plan your study schedule. addition. B gave half of his coins to C and 4 . High priority topics High priority topics doesn’t mean UPSC will definitely ask majority of the questions from here. subtraction. mugup squares upto 19. UPSC questions on divisibility. Because they don’t cover all variety of tricky MCQs asked in such exams. 17. 1 and Rs. 25 and 25) What is Linear Equation? Linear equation means unknown variable (x or y) doesn’t have anything above their ‘head’. How many coins did A have originally? (Ans. from two angles 1. L1: Age problems: silly mistakes Q. This is high priority topic for CSAT. 2x+1 This is linear equation because x doesn’t have anything above its head. C gave half of his coins to D and 4 more besides. (Actually its x1 but for our understanding purpose. 1 and Rs. Linear equations are very important for aptitude exams. Both B and D end up with same number of coins. Indirect applications in time-speed-distance-work. 2 coins with him? (Ans. 20 years ago. coins.more besides. 20 years ago. 75. Infact this is a quadratic equation. expenditure related problems 2. If the total number of coins that she has is 50 and the amount of money with her is Rs. 2 coins with her. Geometry problems etc. Bhootnath was 12 times the age of Abdul B=12(A-20) (this is the most common mistake) B-20=12(A20) . Bhootnath was 12 times the age of Abdul. direct MCQs about age. salary. But comes under “low priority” for CSAT. It is also part of “upto classs10” syllabus. x2+2x+1 This is not linear equation because x has “2” above its head.72 coins) (2011) a person has only Rs. Bhootnath is twice as old as Abdul …blah blah blah we’re presented with two conditions Condition Wrong Right B-20=12A or I. At present. profit-loss-SI-CI. take it as just “x”). then find the number of Rs. How to avoid silly mistake? In age problems. corruption and DP Agrawal for everything. Bhootnath is twice as old as Abdul present age A and B Eq1. “my paper went so good”. B-20=12(A-20) present age A and B Eq1. B=2A . then get wrong answer. Observe At present. Examiner would have even listed wrong answer in option. B=2A Then make second equation: 20 years ago. So junta happily ticks such option. so make a column on left side: Age 20 years ago: A-20 B-20 present age A and B Eq1.II. then they fail & blame nepotism. Bhootnath is twice as old as Abdul 2B=A B=2A Many candidates make wrong equations as shown above. B=2A 20 years ago. always prepare a table beginning with present age. Bhootnath was 12 times the age of Abdul age 20 years ago (-20) A-20 B-20 Eq2. Now plug the value of B from Eq1. table given on the page #9. L2: keep minimum variables Suppose the question is like this “The sum of present ages of Abdul and Bhootnath is 56. refer to NCERT Maths Class 10. For example No solution I. y. L3: Cannot be determined Suppose you end up with two equations like this: I. into Eq2 and you’ll solve this effortlessly. x+y=5 II. of silly mistakes. you get answer. x+ 2y=4 II. Chapter3. 5 years ago Abdul’s age was………. even two variable-two equation set can be impossible to solve. 2x+ 4y= 12 infinite solution 2x+ 3y=94x+ 6y=18 To learn more about ^this. Hence answer = “Cannot be determined”. You can never find out the unique value of x.find the present age of Bhootnath. ” avoid this approach use this approach assume Bhootnath’s present Age “B” assume Abdul present age “A” assume Abdul’s present age Bhootnath present age “B” =(56-B) Here you assumed two variables “A” and “B”= Here you’ve to worry about only one lengthier calculations and increased chances variable “B”. But sometimes.blah blah blah…. sometimes even . y+z=6 Here you’ve two equations but three variables (x. Examiner will test this by offering you both choice “Cannot be determined”. The moment you solve B. y and z). z in such situation. 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 8 2 Exercise 2.2 do all the sums Page 30: Example 14 digit reversal Page 31: Example 15 about age problem Exercise 2. Anyways. 2 and 3 12. Binomials. level sums) Then refer your Quant book: Rajesh Verma or Sarvesh Kumar (not both). What to focus for CSAT? How to convert statements into simple equation. page 243 Formula for no.5 Monomials. let’s proceed with preparations: @Those weak in maths @Those good at maths NCERT Class10. Solve the four questions 7 12 given immediately. Trinomials & Polynomials (page 233) 12.6 adding-subtracting simple equations. NCERT: Linear Equations Class Ch. 7 4 example 10 age problem on page 90 Exercise 4.data sufficiency (DS) question. Make sure you pick the right answer in right situation. then refer your Quant book.4 do all sums Page 35: example 19 age problem . (Because it has some good CSAT Following NCERT 7. of diagonals in a figure. (page 235) 12. 8 and 10.4 question no.8 formula and rules. Page 246 Page 247 summary. 5 but avoid the headache of that cross multiplication method. Learn Boats and streams topic from my [Aptitude] article click me (http://mrunal. Everyone should do this.html). Stick to substitution & elimination methods.6 only do Problem 6 and 7.4.flipkart.1 Page 52 Example 9: understand why the answer is “cannot be determined”. infinite solution / no solutions? Table 3. Page 46: In what situation.Page 35: Exercise 2. irrespective of how strong / weak in maths.com/fast-trackobjective-arithmetic3rd/p/itmd68vjuzdcmrs7? pid=9789351760146&affid=mrunalrugm) First solve chapter 27 then chapter 7.4.flipkart.4 Page 57: solve the apple sum under topic 3.com/quantita aptitude-quantum-cat-commonadmission-test-into-iims7th/p/itmdwqbnmqzd36h5? pid=9789351416401&affid=mrunalr Ch13.Chapter 27 linear equation Sarvesh Kumar (http://www. Algebraic method to solve equations Page 50 understand the substitution method given in point 3. Page 65: example 19 avoid that stupid algebra method. Page 67 Quant book: Linear Equations Rajesh Verma (http://www. Elements of Algebra .(i) to (v) most important for CSAT.3 Page 54 understand elimination method from example 11 Page 56 example 13: digit reversal problem 10 3 Page 57 Do all the sums under Q.3 only solve Question No.2 of exercise 3. Page 60 ticket problem example 14 Page 63: do Q.org/2012/04/aptitude-boats-and-streams-madeeasy. Page 53 Exercise 3.4 most important for MCQs. “Linear Equati exercises He has explained all four methods to solv you may avoid following type of questions Linear equations. whether its bells ringing together or bulbs lighting together or people walking together-you’ve Find LCM of those numbers. Then divide it with each number. He wants to plant them in such a way that the number of rows and the number of columns remains the same. Once you plug in the options. Level 1: Do Question 23 to 31. But stick to substitution because no asked in UPSC elimination method. only x=13 will satisfy this equation. What is the least possible number of bottles required? Ans. (2011) three persons start walking together and their steps measure 40 cm. What is the minimum number of plants that he needs more for this purpose? Ans.how he s them without assuming X or Y. Petrol. you’ll get total number of bottles: 44. (2013) A gardener has 1000 plants. save a lot of precious minutes in the exam H2: Number system Sample Questions from previous prelims 1. but he missed “x”. 2. What is the minimum distance each should walk so that each can cover the same distance in complete steps? Ans.13: Do Question 10 to 18 Chapter 7: Word problems based on numbers Focus on digit reversal problems and age related problems. Which number did he miss? Ans. 465 lt. Q1 on Exercise2 Ex. so [n(n+1)/2] minus x = 177.14 in Exercise1 can handle pretty much every question. Whenever you have to arrange soldiers or . IF you master this technique.Understand the consistency system given on in the initial part of this chapter he talks a first page of this chapter. diesel and 496 lt. or even fr equations. motor oil in bottles of equal size without mixing any of above liquids. 25 m 20 cm 4. ignore it for the moment an then solve all the questions in illustration and directly move to page 525. Important: in Level1 exercises question to 31: observe his explanations. (2009) while adding the first few continuous natural numbers. polynomials. Combined these two Q. 42 cm and 45 cm respectively. HCF will be 31. a candidate missed one of the number and wrote a wrong answer 177. 3. (2007) A person has to fill three liquids – 403 lit. Sum of the first “n” natural numbers is n(n+1)/2. 1’s example 6 3. most of them can be solved without mugging up any formulas. Refer to appendix of this below) article. Divisibility rules for 2. summary from page 191-92 1. mixed fraction 2. proper. improper.4 how to find rational number between two rational numbers. Playing with numbers.flowers or trees in Equal Row n equal column. (chapter wise list given Directly use your Quant book.Topic 1.7 comparison of numbers. Example 5 on page35 4. POOR IN MATHS GOOD IN MATHS begin with NCERT No need for NCERT.9 1. then you have to make it square.3. Example 6 on page39 1.2. topic 9.2 the properties of rational numbers.page 179 2. books.7 summary page 27 HCF.Fractions and Decimals 7 9. These are not really difficult questions.Rational numbers Table 1.6 laws of exponents for real numbers page 241. You just need a good grip over basic concepts. Ex. LCM how to find . Add 24 more trees so it becomes 1024=32×32. 16. example 6: direction sense test page 186 3.Number system basic concept of recurring decimals: example 8topic 1. NCERT: Number system NCERT Chapter 2. rational numbers 8 9 Topic to focus for CSAT 1. for what to prepare and what to skip in the quant Then use Quant books.5. 1. Ignore Euler and irrational numbers.org/2013/01/aptitude-remainderone-number-and-two-divisors-number-theory.Exponents & powers how even-odd powers change the sign of negative numbers 13.6 expressing large numbers in std. Remainders: one number and two divisors (http://mrunal.2 12.html) . Page 11: Question 7 important concept for circular race tracks.1 Comparing very large and very small numbers. 8 and the remark given at bottom of it.4.org/2013/03/aptitude-lcm-hcf-gcd-basic-conceptcalculation-applications-explained. 12.2 6.form table in 6. LCM-HCF Simplified (http://mrunal. Page 19 note to reader.Real numbers 10 Page 10 Example 6. squares and square roots Numbers between square numbers.the lines given in italics. 6. NCERT Powers & Exponents NCERT Chapter Topic to focus for CSAT comparing numbers with powers 7 13.html) 2.2 Pythagorean triplets 6.3 Laws of exponents.4.Powers 12. 8 7.example 7.2. Cube and Cube roots geometry angle.7 estimating square root. Related articles under my [Aptitude] series: 1. Refer to bottom of this article “Appendix A3″. So. If the cost of the article is Rs. If he sells goods at the listed cost price. from previous prelims 1. so note it in your “diary of mistake”.72.CI Sample Qs. (1998) A man bought two clocks A and B for total Rs. (2010) two numbers X and Y are respectively 20% and 28% less than third number Z. 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. (2002) Trader fixed the price of an article in such way that by giving a rebate of 10%.After this is done. Ans 10% . He only uses 1 kg weight. SI. what is the selling price? Ans. 92 rupees.650. and B’s 400. Shopkeeper keeps the weight measure in left pan while buying goods but keeps it in the right pan while selling goods. you have to solve all questions from your quant book. 2. for what to prepare what to skip from Rajesh / Sarvesh. A’s cost price 250. Pro섫涵t Loss. 3. on each trading sequence. 4. Hint: Assume 1 gm costs 1 rupee. He sold A at 20% profit and B at 25% loss. H3: Percentages. Even solve the already solved sums given in the “illustrations”. If he had kept selling price of both clocks the same. It requires your understanding of linear equation. what is his profit? Ans. percentages and profit loss.1000 paid/ per 1100 gm bought unit SP =Rs. he made profit of 15%. By what % is the number Y less than number X. (2005) Left pan of a faulty weigh weighs 100 gms more than the right pan. buying fraud of 100 gm per 1000 gm = 1100 gm selling fraud 100 gm per 1000gm = 900 gm Unit cost price per gram= Rs. then what were the cost prices of each clock? Ans. gist of the question is: he frauds 10% in buying and 10% in selling. Find per unit price while buying and selling. 5. 0. Time-Speed-Distance problems.2.html) 3.html) 4. without mugging up formulas. what is the difference between their rates? Ans. Alligation: Advanced applications in Interest rates. (1998) If 15 pumps of equal capacity can fill a tank in 7 days. from previous prelims 1. (2010) Difference between simple interest from two banks on Rs. H4: Ratio Proportion Variation Partnership (RPVP) Sample Qs. for what to prepare what to skip from Rajesh / Sarvesh.5. Even solve the already solved sums given in the “illustrations”. then how many extra pumps will be required to fill the tank in 5 days? Ans. Average Wages (Wine-Water Concept) (http://mrunal. Concepts of Marked Price and Successive Discounts (Profit-Loss) without (stupid) formulas (http://mrunal.6 (you can solve this as “pipes n cisterns / speed-time-distance problem also.org/2013/01/aptitude-alligation-interest-rates-profit-loss-averagewages-wine-water-concept. ultimately it’s a problem of inverse relation between .html) 2. Compound Interest Rate. you have to solve all questions from your quant book.25% Percentages-NCERT As such UPSC’s percentage related questions are complicated than the exercises given in NCERT.org/2012/11/aptitude-concepts-of-marked-price-and-successive-discountsprofit-loss-without-stupid-formulas.500 for two years is Rs.org/2012/04/aptitude-compound-interest-rate. Product Consistency: If Sugar price increases then consumption should be Decreased by What %. (http://mrunal.org/2013/01/aptitude-productconsistency-shortcuts-ssc-ibps-csat-cat. Class 7 Ch8 Class 8 Ch8 To learn how to solve such MCQs. refer to following articles: 1. Population Growth without Formulas (http://mrunal. but still solve NCERT as warm-up exercise for multiplication and division. Refer to bottom of this article. Profit-loss.html) After this is done. 1000 more soldiers joined the garrison. After 10 days. (2002) Amit Shah started a business with investment of Rs.000. How long will these provisions last. Inverse variation topic. Food provision for them is for 20 days.1200 Understand the partnership concept from this article: (Aptitude) Partnership and profit-sharing made Easy (http://mrunal. Basics of variation. (2013) Out of 120 applications for a post. Based on the information. 70 are male and 80 have a driver’s license. Two cities are 4 cm apart on the map. Although most of the chapter is focused on percentages. 10 days.speed vs time) 2. if 25 more students join the group? Ans.html). use it just for warm up exercise for multiplication and division. How long would the soldiers be able to carry on with the remaining food? Ans.org/2012/05/aptitude-partnership-and-profit-sharing. 3 months 3. 10 more gold coins are added to the collection and the ratio of gold coins to non-gold coins would be 1: 2. 8 What To Focus Basics of Ratios. the total number of corns in the collection now becomes what? Ans. At the end of year.20.000. (NCERT Class8) There are 100 students in a hostel. (NCERT Class8) The scale of a map is given as 1:30000000. there is one gold coin for every three non-gold coins. If he starts using 25% more every day. 8 days. (2013) In a garrison. 7. profit was divided in the ratio of 2:1. After how many months did Rahul join the business? Ans. 16 days. PS: Even those good at Maths MUST do the sums from Class8 Chapter 13. 8. too rudimentary stuff. page 207 example5 interesting Page 208 exercise 13. Ans. (2013) the tank-full petrol in Arun’s motor-cycle lasts for 10 days. how many days will the tank-full petrol last? Ans. (2013) in a rare coin collection. What is the ratio between the minimum to maximum number of males having driver’s license? Ans. Find the actual distance between them.1 Question 5 to 10 . there was food for 1000 soldiers for one month. 90 4. Class 7 Ch.30. 6. Ans. Rahul Gandhi joined after some time and invested Rs. 3:7 5. Rahul’s dog runs at a speed of 60 meters/minute and starts along with Rahul. What is the total distance covered by the dog? Ans 1200m 4. Their speeds are 4. (2007) A and B can complete work together in 5 days. When do the cars cross each other? Ans 3:20PM 3. Rahul follows him after an interval of 5 minutes and runs at a speed of 50 meters/minute. Understand the concept well. this work can be finished in 4 days. (2005) Aryan runs at a speed of 40meters/minute. Car X stops at 10 a. Notice Q5.8 13 Page 212 example 7. because these sums also test your understanding of Linear Equation (H1). then he reaches the factory 7 minutes early. This type of questions asked in CSAT. When will they meet at the starting point . while the other car Y continues to run without stopping.m. But Juntaa directly starts preparing STDW without learning first four blocks because last time UPSC asked many MCQs from STDW. The dog reaches Aryan and then comes back to Rahul. its identical to the ‘food lasting’ problem. LCM (H2). The distance of the factory from his house is ___? Ans 5 km 2. Sample questions from previous prelims 1. what to skip. H5: Speed Time Distance Work (STDW) This is fourth block. (2004) Two cars X and Y starts from two places A and B respectively which are 700km apart at 9 a.m. Question 8. Such quickfixshortcut-moodswing based preparation usually lead to #EPICFAIL. Then solve your Quant book. and continues to do so till Rahul reaches Aryan. Proceed in a systematic manner. Exercise 13. (2001) A worker reaches his factory 3 minutes late if his speed from his house to the factory is 5 km/hr. (2010) Three men start together to travel the same way around a circular track of 11km. Refer appendix for what to prepare. How many days would it take for A alone to complete his job? Ans 10 days 5. If he walks at a speed of 6km/hr. If A works at twice his speed and B at half of his speed. You need good command over all those basic concepts from H1 to H4. 8 and 9. 5. MOST IMPORTANT– how long the food will last.5 and 8 kmph respectively.. Percentages (H3) and ratios (H4). and again starts at 11 a.2 Q4 to 11. Both the cars run at an average speed of 60 km/hr.m. How far is his office? Ans. 2 hrs 8. (2013) A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. then the time required for the policeman to catch the thief will be what? Ans. Speed time distance cars. trains. If it takes 3 hours to complete the total journey. How much time will he take to drive both ways? Ans. 2. “pipe A can fill the tank in …” etc. 3 min 9. Boats and Streams made-easy using our STD-Table Method Time-speed-work . Distance) made easy (http://mrunal. Trains. because it runs on the LCM method and doesn’t dwell on all varieties of questions. Kumar drives to work at an average speed of 48km/hr. Platforms TSD (Time. Speed. If the thief is 100 m ahead of the policeman.org/2012/03/aptitudetrains-platforms-tsd. He can also walk both ways in 10 hours. The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance. STDW is made up of two topics 1. Speed time work “A can complete a work in….42 kmph NCERT not much useful here. Go through following articles: Time-speed-Distance 1. platforms. All of these can be solved through just one formula: STD (speed x time =distance). boats etc. 40 km 7. (2012) Mr. (2013) A person can walk a certain distance and drive back in six hours.”. what is the original speed of the train in km/hr? Ans.for the first time? Ans 22 hours 6.html) 2. (2013) A thief running at 8 km/hr is chased by a policeman whose speed is 10 km/hr. org/2012/05/aptitude-tsd- time-work-two-men-can-finish-work-3x- average-speed-made-easy. Time n Distance: Early and late to office (shortcut using product consistency method) time-work-three-men-can-finish-work-xdays-share-wages-special-cases. A & B start work.html) 3. time and work problems cases. B 3. Time n Work: 4 men and 6 women can (http://mrunal. Product Consistency: Time-SpeedDistance problems (http://mrunal. What will be monthly average income of person in the same family if the income of one person increased by Rs.html) efficient-b-b-leaves-completion-variety- 4. then apply it while solving the illustrations and exercises given in your quant book.(http://mrunal. C joins std-table-application-in-train-man- after x day.000 per year? Ans.org/2013/01/aptitude- complete a work in 8 Days then time-n-distance-early-and-late-to-office- (http://mrunal. (1997) the average monthly income of a person in a certain family of 5 is Rs. 1200 . 27 2. STD table : Application in train man bridge. Allegations 1.html) 6.html) Once you’ve understood this STD table concept. What is the value of A? Ans.html) work. [Speed Time Work] Two Men can finish a boats-and-streams-made-easy.org/2012/04/aptitude- 1.1000. 12.html) 2. Twice the sum of B and C is 30. B and C is 14.org/2012/11/speed- 5.html) cases (http://mrunal.html) method-for-ssc-ibps-csat-cat-cmat.org/2013/01/aptitudeproduct-consistency-shortcuts-ssc-ibpscsat-cat. H6: Averages.org/2012/05/aptitude-time- shortcut-using-product-consistency- n-work-4-men-and-6-women.org/2013/02/aptitude-q- work in x days.org/2012/11/speed- (http://mrunal. [Speed Time Work] Three men can finish a (http://mrunal. A is 3x more efficient than B. (1996) If the average of A. Average Speed made easy without leaves before completion & variety of Formulas cases (http://mrunal. share in wages & other special bridge-time-and-work-problems. html) [Aptitude] Averages: More than two elements added / removed : shortcut technique explained (http://mrunal.Milk.Wine mixing: Weighted Average Made Easy for CSAT.org/2013/01/aptitude-alligation-interest-rates-profitloss-average-wages-wine-water-concept.CAT. if you really want to learn the basics. (2011) A student on her first 3 tests received an average score of N points. 15 (These are useful for data interpretation though) 9 14 . (Statistics is asked but low-priority for CSAT).Mixtures.IBPS Aptitude (http://mrunal.org/2013/02/aptitude-averages-entry-removal-of1-element-increase-decrease-in-average-shortcut-method-explained.3. instead of NCERTS. They mainly deal from “Statistics” angle. then what is the average score for the first 4 tests? (Ans. N+5) NCERTs don’t provide the street-smart techniques OR the requisite variety of questions asked in aptitude exams.CMAT. So.org/2013/02/aptitude-averages-more-than-two-elements-addedremoved-shortcut-technique-explained. first go through following articles: [Aptitude] Averages: Entry / Removal of 1 element => Increase / Decrease in Average Shortcut method explained (http://mrunal. consult following NCERT chapter (although quite unnecessary because everyone knows this much basic.html) [Aptitude Q] Mixture and Alligiation: Change Alcohol concentration from 15% to 32% [Aptitude] Alligation: Advanced applications in Interest rates.org/2012/03/aptitudealligationsmixturesalloys. Profit-loss. If she exceeds her previous average score by 20 points on her fourth test.Alloys: Water.html) Then solve all the illustrations and examples from your Quant book.html) [Aptitude] Alligations. Average Wages (Wine-Water Concept) (http://mrunal.) class ch 7 3 8 5. Tabulation DI-1: odd. (d) . P attained the temperature of 100 degree C faster than Q d. bacterial growth graphs etc. bar graphs. line graphs 2. Q attained the temperature of 100 degree C faster than P ANSWER. At no point of time during heating did the two liquids have the same temperature c. “Odd” speed graphs. 1. During heating. pie charts.graphs [Prelim 1995] The variations in temperatures form 0 degree C to 100 degree C with respect to time of two liquids P.Q are shown in the graph given below: Which one of the following statements is correct? a. liquid P remained hotter than liquid Q throughout b.10 14 H7: Data Interpretation (DI) GRAPHICAL TEXTUAL 1. Venn diagrams 2. while 2 correct 2. you’ll see “D” won the race. 1 and 3 correct while 2 false 4. 1 and 2 false. while 3 correct 3. 2 and 3 false. A stood first in the race 2. 1 and 3 false. then find what time each took to finish the race.[Prelim 1996] Following graph represents a race among four persons. . 1 is correct. Consider following statements 1. Answer choices 1. C led all the way 3. D ran faster than others in the later part of the race. Correct answer: (B) hint: you should add numbers on both axis. 1. 2 and 3 d. 1.The yield is neither minimum nor maximum at C Which of the above statements are correct? a.2 and 4 b. Consider the following statements based on this graph: 1.The yield is minimum at D 4.Yield rate is zero at B and C 2.3 and 4 ANSWER.[Prelim 1999]The yield versus fertilizer input is shown in the graph. 3 and 4 c.There is no yield with no fertilizer input 3.(b) . R was always faster than Q in learning Mathematics d. First understand following concepts from NCERT Class8.Q and R for learning a Mathematics lesson: Which one of the following can be drawn from the graph? a. I’m not copying them here because more images=slower loading webpage.[Prelim 2000]The following figure represents time vs learning curves of two students.(a) Hint: add numbers on both axis. Chapter 15 “Graphs” Page 234-35: Example1 two cricketers performance graph Page 235-36: Example2 car average speed graph Exercise 15. topic is given in NCERT. even CAT. then you’ll see who is learning to what pace. Q was always faster than R in learning Mathematics ANSWER. I call them odd graphs because usually unseen in other aptitude exams.1: Q1 Patient’s temperature . Q started slowly and finished learning the lesson earlier than R c. You’ll also find odd graphs in last three CSAT papers (attached at bottom of this article). R started slowly in the beginning but got ahead of Q to complete learning the lesson b. But these graphs are not falling from sky. CAPF and SCRA = too time consuming exercise. Where to get additional practice? You’re unlikely to find such ‘odd graphs’ practice questions easily. 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. then you’ve to write numbers on your own understanding. They’re usually not asked in Bank and CAT. aptitude manuals . the Examiner seems to be utilizing the same DI Question bank from the secret server in the basement of UPSC Headquarter). But again cost:benefit not that great IF you start digging through all previous papers of CDS. usually they don’t give numbers on the axis.Page 237-38 Q3. you will find a few such question under 1. Although they’re sporadically asked in CDS. Observe following image Once you add numbers like this. But if you want to solve them with NCERT technique. Anyways. it becomes very easy to compare P vs Q and eliminate options accordingly. CAPF and SCRA exams (For all four major exams of UPSC. they usually make a combo of two pie charts OR 1 pie chart + 1 bar graph or 1 pie chart + 1 table. You don’t have to specifically buy them only for the “ODD graphs”.16. Same . because dozens of images =slow loading webpage. To make difficult questions from pie chart. 23. Usually give you 3-4 text statements and ask which requires you to find exact mathematical answer.2. pie charts I’m not adding their samples questions here. CST magazine’s mock tests. one of them are correct as per the given chart. Difficulty wise.7. often the four options are very close (16. UPSC CSAT Usually calculations are easy – you’ve to do 10%. But you’ll find the samples in the last 3 CSAT papers attached below the article.37 etc.55. Meaning they don’t usually require you to find exact mathematical answer. DI-2: bar graphs.above SSC and little below BankPO Data Interpretation in BankPO/ CAT Often require lengthy calculation and long divisions. 25% of something and you’ll get the answer.). even prime numbers (17.19.5. 20%.16. Although you’ve to do maths /apply logic to eliminate the wrong statements.16.67) so you can’t eliminate wrong choices by logic or guestimation. especially on mobile browser. Borrow whatever you can from library / friend circle. you’ve to do exact calculation without any mistakes. avoid sets that require lengthy calculations and long divisions. 500 3. Therefore. DI-3: Venn Diagrams Sample questions from previous prelims: 1. so avoid 2. what percent of those surveyed owned a car and a mobile phone or both? Ans. If 55% owned both a car and a mobile phone. If the number of students who can speak English is 21. bar graphs etc you can consult NCERT class8 chapter 5. 39.it was found that 80% of those surveyed owned a car while 60% of those surveyed owned a mobile phone.To get a basic overview of Pie charts. But for CSAT DI. every candidate took Physics or Mathematics or both. Some students can speak only English and some can speak only Hindi. Also don’t waste time on internet gathering bank papers – they’re usually too scattered and bad PDF quality. [2000] In an examination. 85% 4. CAT sets will be an overkill. SSC sets far easier than CSAT. [1998] There are 50 students admitted to a nursery class. What is the number of students who .29 and 11 respectively 2. hit the library and go through monthly issues of Pratiyogita Darpan or banking service chronicle CST (Civil service times) magazine gives demo CSAT papers with DI Arihant/Kiran publication books papersets Quant books usually don’t give many DI sets –whether it’s Rajesh. [2011-II] There are 100 students in a particular class. It’s a clever marketing trick to sell another separate book for DI.8% took Physics and 59. how many can speak only Hindi and how many can speak only English ? Ans. to gain command you’ve to get practice. Yes but where to get BankPO papers? Ans. But as such it doesn’t contain any street smart tricks OR sums relevant to CSAT. then how many can speak Hindi. so avoid 3. 30% student play football and 10% students play both the games. Just hit the library and go through those magazines. 60% students play cricket. 65.How many candidates took both Physics and Mathematics? Ans. Hence your best bet is bank PO exam papers.2% took Mathematics. Sarvesh or Arun Sharma. [2001] In a survey. 10 students can speak both English and Hindi. But even in them. The total number of candidates was 2000. you don’t need any separate book. Where to get practice DI sets? 1. As such Venn diagram is class11 topic but UPSC has repeatedly asked it both in pre-CSAT and CSAT era.blah blah blah. mathematical Venn diagrams (that we’ll see here) Don’t assume A+B=total Q.find total people in the society. you don’t have to mugup formulas. At max it should take ~3 hours to finish this topic at home. In a society 10 people drink tea. Nonetheless.20 There are two sub types: 1. If and when required take n=0. but understand the concept from those colored regions in those five image boxes. 4 people drink both coffee and tea…. this is the “basic” of all 2 circle Venn diagrams. Start preparation with Class11 NCERT Mathematics chapter1. examiner considers it “Reasoning” and not “maths”. 17 Example 18.. As such you can solve 3 circle Venn diagrams with just logic .play neither cricket nor football? Ans. logical Venn diagrams (we saw in previous article) 2. Wrong Approach Total people in society =+ only tea drinkers+ only coffee drinkers+ (those who drink both tea & coffee) This is juntaa’s most common mistake in Venn diagram. Perhaps. they forget about “n” Right Approach Total people in society =+ only tea drinkers+ Only coffee drinkers+ (Those who drink both tea & coffee) + Those who drink neither tea nor coffee (n) Read the question description carefully.. page What to focus for CSAT? 16 Properties of intersections. Venn diagram is a very easy “NO EXCUSE” topic. Formula of n(AUBUC). Spend more and more on interest payments c.6 27. CST etc. Reduce expenditure on defence b.7 8. How many married women are there in there in the club? Ans. solve all the sums in your Quant book (+ whatever sums you get in Pratiyogita.7 23 Based on this table. but sometimes problems are trickier and you need this formula. (2000) A club has 108 members.1 27.21 of “this portion minus that portion”.27 4.7 16.0 16.6 38. 27 Q. Two-thirds of them are men and the rest are women. Reduce expenditure on subsidies d.3 13. 22-26 All the illustrations and all the exercises.000 out of which 1.13 to 16 After this. it can be said that the Indian economy is in poor shape because the Central government continues to be under pressure to : a. (2001) A city has a population of 3. 50% of the .80.(b) 3.00. Spend more and more as grants-in-aid to State government/Union Territories ANSWER.000 are males.) DI-4 Tabulation questions Sample questions from previous prelims [1996] The following table shows the percentage distribution of revenue expenditure of Government of India in 1989-90 and 1994-95 : Expenditure Head (percent to total) Years Defence Interest payments Subsidies Grants to State/UT other 1989-90 15.4 1994-95 13. All members are married except for 9 women members. Sometimes.blah blah blah Overlapping not possible. ** people work in R&D. You can make two columns: union vs non-union and further two sub columns man vs woman. people who like tea. In a company ** male.. but the main difference: the players in a tabular questions will not have “overlapping”. no overlapping circles.then find ___.. the number of literate females is __. they simply start scribbling data either in table or in Venn diagram. Person who works in HR cannot work in R&D at the same time. Observe Tabular question Venn diagram question 1. out of them ** union 1. tea…. 4 members. . 2.. Those who own car. in a company ** people work in HR. This is not difficult. Total female are **.? Ans 24. blah blah people drink both coffee and blah…. These are all Overlapping circles are possible.population is literate.000 You can solve Q3 and Q4 by directly framing linear equations. may also like coffee. separate columns. but make silly mistakes in addition / multiplication so finally after wasting 20 minutes they leave the sum.find total 2.Should I make table OR Venn diagram? So.then find __. Man is man. may also own bike. In a society 10 people drink tea. ** own bike…. DONOT start scribbling numbers. question descriptions of tabular vs Venn diagram sound very similar. people in the society. in a society ** people own car. UNLESS you know exactly how you’re going to reach the answer. ** people work in marketing blah blah blah…. until they get nowhere after 10-15 minutes of calculation. If 70% of the males are literate.blah blah blah. Then they try second approach. but table = less changes of error. This is one of the main reasons why people cannot finish paper on time and fail in the CSAT. woman is woman. but juntaa doesn’t practice at home so in the exam they cannot decide which way to proceed. same way. Beyond that 1. H8: Geometry: Area volume perimeter (AVP) Sample questions from previous prelims 1.3 times 3. process of rolling started. [2005]A big rectangular plot of area 4320 meter square is divided into 3 square shaped smaller plots by fencing parallel to the smaller side of the plot. 3 more square shaped plots were formed by fencing parallel to the longer side of the original plot such that no area of the plot was left surplus. So. You’ll find some questions within Venn diagram chapter of your quant book. If it is to be enlarged. UPSC’s tabulation MCQs don’t involve that lengthy calculations unlike IBPS/SBI.com/quantitative- . How many times the smaller coin rolled around the bigger coin? Ans. Banking chronicle etc. Bank papers given in competitive magazines Pratiyogita. Anyways where to get practice? NCERTs not much useful here.Keep an eye on the wrist watch. However some area of land was still left as a square could not be formed. What are the dimensions of the original plot? Ans. 2. but keep in mind. DONOT spend so much time on a single question. then what would be the volume of the earth to be removed? Ans. The smaller coin is. Previous papers of General Studies (Mains) paper II upto 2012. (2pi4)m3 How to proceed? if you don’t have Sarvesh Kumar (http://www.flipkart. into a circular pond with the diagonal of the square as diameter as shown in the figure. the depth remaining the same. 120m x 36m 2. [2010]The diameters of two circular coins are in the ratio of 1:3. made to roll around the bigger coin till it returns to the position from where the. UPSC had statistics and DI section under Mains syllabus and they used to ask such tabulation questions. [1998]A square pond has 2m sides and is 1m deep. Because in those years. even if it’s “Data interpretation”. Proceed in following sequence: . Because he has neatly summarized all theorms.aptitude-quantum-cat-common-admission-testinto-iims-7th/p/itmdwqbnmqzd36h5? pid=9789351416401&affid=mrunalrugm) First NCERTs then your quant book. 22. formula and special questions given in NCERTs. if you’ve Sarvesh Kumar No need to consult NCERT. 21. NCERT Class7 Chapter 11 206-208 all examples for area-perimeter related questions 220 example 15 221 example 16 223 do all exercises in 11.6 207 all questions and summary Class9 Chapter 13: surface area volume. Similar park-road question asked in 1997 226-28 all the sums and summary Class9 Chapter 12: Areas related to triangles: HERON’s formula 199 Heron’s formula 201 example 2 202 all questions 203 Q.3 to 6.3 225-26 Example 20. Example 4 205 ex. Class10 Chapter 13 This chapter deals with volume of ‘combo’ figures. 1995: UPSC asked question similar to example 11. 9 231 Q10 to 14 231238 all illustration and sums important for CSAT. — next article. 216-17 Cylinder area related sums 229-231 Cylinder volume related sums 220-21 Cone area related sums 232-33 Cone volume related sums 224-25 Sphere area related sums 235-37 Sphere volume related sums Class10 Chapter 12 225 example cost of ploughing the field 226 entire exercise 12.1 227 formula for area of a sector 230 Q3. Semi-sphere above a cube & so on. we see how to approach the medium and low priority topics under mathematics for CSAT. 8. They keep asking such combo images and shaded areas. Appendix: Download links .237 first mug up all the formulas given in this summary 211-213 Cuboids area related sums 227-28 Cuboid volume related sums. Solve all the illustration and exercises given here. secureserver. maths. you’ll need to practice maximum sums from your quantitative aptitude book.google.org/aptitude (http://Mrunal. reasoning.net/0s4I32bAjTl3bm (https://files. So.secureserver.secureserver.org/aptitude) for more articles on aptitude. Quantam CAT Sarvesh Kumar What to prepare what to skip for CSAT (https://docs.google.com/file/d/0B0DPgaYAtDgmQ0Fya1QtUkpzTUE/edit) 2. consult following PDF files on what topics to focus and which topics to ignore: 1.A1: Last three years o䀉⒓cial CSAT papers https://files.net/0fmaNqqBDslHlc) A3: Quant books: What to prepare. However. Fast track to Arithmetic Rajesh Verma What to prepare what to skip for CSAT (https://docs. are important for CSAT. all contain official answerkey from UPSC A2: NCERT Mathematics Topicwise Sorted free download https://files.net/0fmaNqqBDslHlc (https://files. Mrunal recommends SBI/IBPS Bank Exams UPSC Civil Service SSC CGL: Staff selection CDS: Defense Services . what to skip? Beyond NCERT. not all chapters / topics given in such books.secureserver.net/0s4I32bAjTl3bm) except CSAT-2013.com/file/d/0B0DPgaYAtDgmZkpna1FNV2N2RVE/edit) Visit Mrunal. concepts.html) [Studyplan] CSAT Aptitude Paper 2: Comprehension & Reasoning. shortcuts explained (http://mrunal.html) Print | PDF (need Chrome) (http://mrunal.org/2013/07/trigonometry-findingminimum-maximum-values-for-ssc-cgl-made-easy-withoutdifferentiation.org/2014/06/studyplan-csat-aptitude-paper-2-decision-makingmaths-medium-low-priority-topics-sample-questions-free-studymaterial-part3-3. either or) for CSAT.html) [Reasoning] Calendar Questions: Finding day or date. CAT/IIM MBA Entrance ACIO Intel Officer More from this category [Studyplan] CSAT Aptitude Paper 2: Decision Making + Maths Medium & Low priority topics.org/2014/06/studyplan-csat-aptitude-paper-2-comprehensionreasoning-analysis-previous-papers-free-studymaterial-cutoffs-part-1-2. free studymaterial.org/2014/06/studyplan-csat-aptitudepaper-2-maths-data-interpretation-high-priority-topics-sample-questions-free- . free studymaterial (part 3 of 3) (http://mrunal. unless. previous papers. CAT shortcuts formulas approach explained (http://mrunal.org/2013/04/reasoning-logicalconnectives-if-unless-either-or-for-csat-cat-shortcuts-formulas-approachexplained.html) [Reasoning] Logical Connectives (if.org/2013/08/reasoning-calendar-questions-findingday-or-date-concepts-shortcuts-explained. Sample Questions. analysis. cutoffs (part 1 of 3) (http://mrunal.html) [Trigonometry] Finding Minimum Maximum Values for SSC CGL Made Easy without differentiation (http://mrunal. It will be very helpful REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3. Thank you so much.google.D Murnal Bhai…. can you please upload your ‘diary of mistakes’ for last minute revision here.html/print/) Get notified whenever I post new article! (http://feedburner.Or We Need to buy new books…. I can now kick start my CSAT-2.Can We Prepare for CSAT from Banking Related Books….HTML? REPLYTOCOM=213471#RESPOND) ishi I was petrified when i saw the math in last year’s paper > Good that i stumbled across this blog which has brought a lot of relief to me. God Bless! REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3.HTML? REPLYTOCOM=208624#RESPOND) vivek Mrunal sir.i.plz advice . or that of anyone? Since we have very small time to make our own.com/fb/a/mailverify?uri=CivilServiceExam) So far 85 Comments posted REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3. Warm Regards..studymaterial-part-2-3.HTML? REPLYTOCOM=215693#RESPOND) B. I cant get old ed ch details from net also.REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3. REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3.. New ed book not mentioned which ch newly introduced. thank you.HTML? REPLYTOCOM=216984#RESPOND) Suresh Hi Mrunal Ur pdf file “Fast track to Arithmetic Rajesh Verma What to prepare what to skip for CSAT” description not matching with new revised 3rd Edition. So cant understand which chapter is imp and which to ignore.. Pls kindly add ch titles or revise it for new ed. Thanks REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3. In pdf only mentioned Chapter numbers without title of the chapter.HTML? REPLYTOCOM=217374#RESPOND) MIKU .for some chapters it is very hard to guess coz u hav given page no only n the new book is revised so chapters shuffeled….pls give chapter names rather than chap number….HTML? REPLYTOCOM=217111#RESPOND) nishant natu sir the plan u gave for rajeah kumar is not matching to the new edition…. For ex Linear system u mentioned ch27 but in this new ed ch 27 is Boat n stream. . q3 from csat 2011. Kindly help Thanks REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3..2013 pblms in detail ( You solve only paper 1 ).2012.N+5 . ACIO math and reasoning pblms .HTML? REPLYTOCOM=217811#RESPOND) miku no it okay ... I cannot open the link of pdf file ” what to prepare and what to skip ” in the books of Quantum cat(Sarvesh) and Fast track (Rajesh Verma). REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3.HTML? REPLYTOCOM=235148#RESPOND) . In case if it is available in this site . Why are you not solving CSAT 2011. could you pls help me retrieve that ?? REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3..HTML? REPLYTOCOM=217539#RESPOND) Abhishek Kumar Hi Mrunal. the ans should be N+20.HTML? REPLYTOCOM=229837#RESPOND) vikram mrunal sir . REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3..H6 averages and allegations . Like CAPF .my mistake. HTML? REPLYTOCOM=278411#RESPOND) Balmukund kumar Notify me about all upcoming exams and their syllabus time to time. REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3.pushpendra Very useful indeed. What is the Difference between Critical and logical Reasoning? REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3.
[email protected]? REPLYTOCOM=273892#RESPOND) Saurabh Sir pls advice me some book on optional paper on public administration REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3. Are there maths questions for practice available on ur site sir? If any one could e mail me at my id push. REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3.sharma007@gmail.HTML? REPLYTOCOM=247432#RESPOND) KK Sir.com (mailto:push.com) Regards.HTML? REPLYTOCOM=304980#RESPOND) surbhi . This is Santosh from Hubli(Karnataka). thanks REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3. .HTML? REPLYTOCOM=311293#RESPOND) Santosh Bhajantri Hello Sir.HTML? REPLYTOCOM=306419#RESPOND) sagar prakash kasbe sir we like to strategy for gs paper 1 for prelim exam how to get 80 question right in that which books read and how to tackle the question while you reading as such we know that how to pick the question bit as soon as the we like to know that 1995 to 2013 question will come gs paper 1 also as csat paper REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3. I am an UPSC aspirant & has targeted for 2016.sir.HTML? REPLYTOCOM=305477#RESPOND) vasudevan U r making maths o phobia students to enjoy maths thanks to u Mrunal sir u r awesome REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3. I found the details given by you in the website regarding NCERT Books which will help to understand the basic concept. i’m from hindi medium despite of that should i go through rajesh verma or not …… is there any other good book 4 hindi medium ???? plz guide me…. I flunked.HTML? REPLYTOCOM=313154#RESPOND) ashok Respected mrunal. Sir I have flunked my maths in 10th and passed in supplymentry with border marks 33. Sir please help me out of math phobia. It started from that time onwards. Regards.HTML? REPLYTOCOM=331047#RESPOND) om parkash . Do I need to go for old NCERT books? Could you please me in this.1. Santosh Bhajantri REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3. With writing at least 3 times each math subject as backlog. Is it ok to refer new NCERT books which are easily available at book stores now? or 2. REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3.. Again I don’t know how I cleared 4 math subjects in my engineering passed. I could only solve some questions. So again now I am facing the problem in csat. Please suggest me how to prepare csat and some special topics and books. Notify me of new posts by email. so that.sir . though i am preparing for csat paper 2 according to your plan. i could practice as the test series are very expensive everywhere « Previous (http://mrunal.html/comment-page-1#comments) 1 (http://mrunal.org/2014/06/studyplan-csataptitude-paper-2-maths-data-interpretation-high-priority-topics-sample-questions-freestudymaterial-part-2-3. can you please refer a book with good quality sample papers. Post Message Notify me of follow-up comments by email. 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