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 that too after spending months in mugging up fifty dozen festivals. all that labour barely translates to additional 10-15 marks. On the other side. if UPSC asks 15-17 maths questions. doesn’t automatically ensure selection.edge. and ensure peace of mind until prelim result comes. caves.D on Culture. rather than worrying about cutoffs in online forums. algae/biofertilizers and critically endangered species. environment. it’s just a ‘minimum system requirement’ (MSR). But given the tough nature of GS-MCQs. Again. Mathematics / Basic Numeracy: How much upto ClassX? Maths internal breakup in last 3 CSAT Maths Topic Subtopic 2011 2012 2013 HCF. science. you can completely focus on mains preparation.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) .5 = 30 marks. **based on 2011 and 2013 trend. tribes. Last year pretty much every regular reader of Mrunal. Then. maths can easily help raise your score by atleast 30** marks than the crowd. 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. 12 x 2. no longer a competitive edge. probability. graphs. who was very slow etc. parallelograms and even coordinate geometry. This sample size too small to make projections that “x” topic will always be asked and “y” topic will never be asked.C. 1996. So far ~43 total maths questions asked in 2011. this and this. etc.) 3 0 0 geometry 1 0 0 AP. GP 1 0 1 Subtotal: Odd balls 5 0 1 Basic+Stat+STD+DI 23 3 17 28.D 2011: water contamination. 12 and 13. orders of magnitude. public believed that UPSC will completely “revamp” its Aptitude Question bank in its secret computer database.75 21. Observe: CSAT paper II q. 2011: UPSC introduces CSAT system.” It only says: Basic numeracy (numbers and their relations.” word is dangerous.C running and asked who won the race. But UPSC is still asking stuff they used to ask way back in the 90s. data sufficiency etc.with four athletes A.) (Class X level) Data interpretation (charts. – Class X level) This “etc.75 3. Because upto class X level NCERT textbooks include statistics.25 % out of 80 MCQs UPSC’s official syllabus doesn’t specifically say “we’ll not ask this.oddballs Maths Total Subtotal: DI 12 0 6 Permutation combination (how many figures possible etc.B.B. tables. various phases 1999: fertilizer input vs yield . (maths / DI upto class X level) similar asked in pre-CSAT era 2011 they gave a graph of A. trigonometry. Should we prepare such topics or not? CSAT system is just three years old. if previously they gave time-distance & asked you to find speed. linear equations.10? Prepare for CSAT? why? Statistics (Cumulative frequency.if you look at all the aptitude questions from 1995 to 2013. this time they give speed and time and ask you to find distance and so on …. with almost identical difficultly level.2011: comparing speed of two trains 1995: comparing temperature of two liquids time speed distance Questions Regularly asked between 1995-2012. Doubtful syllabus topics in Mathematics Topic Taught up to NCERT std.history is repeating itself from pre-CSAT era to CSAT era. sitting arrangement. syllogism. If something is taught upto class10. numbers and wording changed. mode etc. then we should prepare. Venn diagram. median. They did ask “water doubles every five minute” . GP starts from Class11. Just because xyz topic is not asked in last three CSAT = it doesn’t mean UPSC will never ask it in future exams.even reasoning.. Many questions are mirroring themselves only names.) YES YES Yes. Arithmetic progression YES YES asked in CSAT 2011 itself. because in 1999 they asked Data interpretation (DI) about cumulative frequency and average for grouped data with class interval. UPSC hasn’t completely revamped its question bank. 2. assumption-inference. HCF-LCM questions same as above This is just tip of an iceberg. AND it has been asked in previous prelims (Even before Pre-CSAT era).meaning 1. At max. they routinely asked this topic upto mid-2000s. 2002. YES should be prepared. Trigonometry YES YES Ignore radian. Coordinate Geometry YES YES Asked in 1995 and 1999 prelims. and starts only from class11 NCERT.Geometric progression NO NO question in 2001. 97. 2000 etc. Clock Angles indirectly YES Asked in 98. Irrational numbers YES No it’s not asked from 1995 till 2013. but it could be solved without formulas. they asked a Permutation &Combination (Pnc) NO YES question on fundamental countingthat topic is the mother of PnC. 98. 2001. maximum minimum values of sin/cos/tan. 2000. mugup the “ball rebounding” formula. because asked in 1995. 96.because that starts from class11-12 and never asked in pre-CSAT or CSAT era. height-n-distance problem has been asked in past. . Probability YES Yes Routinely asked this topic up to mid2000s. topics beyond YES YES simple area-volume-perimeter (AVP). cyclic Non-AVP Geometry Theory quadrilaterals etc. 99. Divisibility YES YES Asked in 2010. Non-AVP Geometry theory= interior angle. parallelogram sides. Yes. (may be Examiner considers this a “reasoning” topic and not maths) Even in CSAT 2011. Perhaps examiner considers them part of “reasoning” and not mathematics or DI. they even asked image based PnC e.Quadratic Equations problems asked in 1995.whether its polity. No. economy or aptitude. 99.96.g. linear equation. can’t we just focus on time speed distance. dang…these are way too many odd topics. how many routes possible in 2×2 square diagram to reach from point A to B. nature of roots. If you aim to tick 10+ MCQs for a given subject. then ignores this topic for 2012 and 2013. UPSC examiner has no moral obligations to follow last year’s topic trend. find “k” etc. it may not be feasible to give justice to all the maths topic within ~2 months. Nonetheless. You’ve to be prepared for all possible topics.g. not asked so far) Logarithms Venn Diagram NO NO NO Never asked between 1995-2013. But they were regularly asked both in preCSAT and CSAT era. YES Venn Diagram starts from NCERT Class11. you’ve to be thoroughly prepared. 2011 he asks arithmetic progression. so study-priority order should be following: Highest priority (섫涵nish them 섫涵rst) . Polynomial factorization related Polynomials. 2001 YES YES Pure mathematical questions related to Quadratic equation (e.in same CSAT 2011. geography. HCF-LCM? Hardly two months left before exam!! Ans. Low Priority . Polynomials factorization => only have to do two chapters in NCERT. because You just have to mugup 3-5 formulas and variety of questions is very less.1. SI-CI 4. You should make room in your schedule to prepare them. Averages. Arithmetic Progression => only have to do one chapter in NCERT. Alligiations 7. Coordinate Geometry => only have to do one chapter in NCERT. profit loss. Speed Time Distance Work 6. 10. 11. Geometry: Area Volume Perimeter Medium priority Following topics not frequently asked. Number System 3. %. Linear Equation 2. Data Interpretation 8. 9. but takes barely 2 hours to master. Therefore cost: benefit good. Ratio Proportion Variation 5. let’s begin preparation: CSAT Math doesn’t not fall from sky but NCERTs Some questions directly came from NCERT. page 212 example 7. Low priority means. you can tick good number of MCQs. page 23. Observe CSAT paper II question similar question in NCERT 2011: contractor penalty Class 10. Meaning. 12.15 2011: students who play neither cricket nor football. ch1. you don’t have to be an IIT/CAT ranker……If you can understand even upto NCERT level mathematics. 8 and 9. do them at last depending on how much free time left after allotting time for other high priority topics such as history. Permutation Combination Probability 15. page 113. most of them are just slightly difficult than the concepts taught at NCERT level. science. Class11. example 26 2013: food in garrison. Q. Gather the weapons 1. how many days will it last? Class8. Therefore. just numbers changed. economy.Low priority doesn’t mean UPSC will *NOT* ask them. Circles (TQC) 13. Ch13. Reason: following topics not frequently asked. within your study time table. They’re not difficult but have many variety of questions and formulas=> each of them take more than 4 hours to master. Geometry theory: Triangles. put under low priority in terms of study time allotment. polity. Statistics Anyways. Even the remaining questions. One book on quantitative aptitude (hence forth referred as “Quant Book”) . Ch 5. Trigonometry: only height n distance 14. environment (for Paper I) and those reasoning-comprehension & other high priority topics under Maths (for Paper II). Quadrilaterals. one separate notebook / file. Which Quant book? As such. Contains all papers of GS and aptitude. like those poor kids use in government primary schools-It OPTIONAL saves lot of paper wasted in practicing math & reasoning sums. For example. 465 lt. Concept is: you’ve to find HCF (31). shortcut. (For those really poor in maths). diesel and 496 lt. Therefore. BUT.topicwise separated for both pre-CSAT and CSAT era. 3.html)”whenever you find any new formula.NCERT Mathematics. got 96%ile. CSAT maths is just slightly more difficult than NCERT exercises.com/csat-topic-wise-solved-papers-19-years-generalstudies-1995-2013/p/itmdhhccqt4sr3hz? pid=9789382961789&affid=mrunalrugm). then divide each number with HCF. No need to “revise” aptitude books or practice sums on that night. then you’ll get total number of bottles required = 44. CSAT Topicwise solve papers (1995-2013) by Disha Publication (http://www.flipkart. . A black slate. A folder and loose A4 sized papers-To maintain a diary of mistakes and shortcuts. since NCERTs alone don’t give all variety of questions and street-smart techniques to save time during exam. motor oil in bottles of equal size without mixing any of above liquids. 1. Petrol. Topicwise zip file given at bottom. Night before the exam. I did the same for CAT. What is the least possible number of bottles required? While NCERT teaches HCF in class10.org/2012/03/strategy-art-of-preparing-for-aptitude. you need a quant book. weird MCQ or make mistake. ESSENTIAL 3. just read this diary. This is better than a notebook because you can add new pages anywhere as per your requirement. note it down in this diary. to maintain “diary of mistakes (http://mrunal. consider this (2007) A person has to fill three liquids – 403 lit. but doesn’t dwell into this concept.2. 2. Quantum CAT Sarvesh Kumar (http://www. but NCERT alone are insufficient for CSAT. LIC. SCRA.To learn all such variety of questions and concepts.flipkart. Fast-track to Objective Arithmetic by Rajesh Verma (http://www.flipkart.flipkart.whichever you can find cheapest or second hand CDS.com/cracking-csat-paper-2-civil-services-aptitudetest-4th/p/itmdzy59psxmjytf?pid=9789351411109&affid=mrunalrugm) or Pearson (http://www. AFCAT. Staff Selection (SSC). XAT & other higher level exams.flipkart. NICLAAO.com/pearson-general-studies-paper-ii-civil-servicespreliminary-examinations-2014-1st/p/itmdzd9zzfhenbkw? pid=9789332519923&affid=mrunalrugm) or xyz publication.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. IBPS.com/general-studies-civil-services-preliminary-examinationpaper-ii-2014-1st/p/itmdzbznrq2gzqr2?pid=9781259064388&affid=mrunalrugm). Choice of Quantitative Aptitude book.com/quantitative-aptitudequantum-cat-common-admission-test-into-iims-7th/p/itmdwqbnmqzd36h5? pid=9789351416401&affid=mrunalrugm) (OR Arun Sharma (http://www.com/prepare-quantitative-aptitude-cat6th/p/itmdwqyjag42b5py?pid=9789339205126&affid=mrunalrugm)) Avoid following books .flipkart. Arihant (http://www. you need a book on quantitative aptitude. FCI & other PSU jobs. CAT. NCERT are good to learn basic concepts.flipkart. ACIO. depends on your career backup apart from Civil Service Exam. Bank. It is sufficient. 19. Because they don’t cover all variety of tricky MCQs asked in such exams. 23. geometry theory (parallelograms. age of father is three times that of his daughter. 29). If you already know such tricks then good.RS Aggarwal’s book on Quantitative Aptitude. number theory or HCF-LCM. mugup squares upto 19. don’t test your skill over prime number tables (13. Even banking & insurance exams – Rajesh Verma’s techniques are faster & easy to understand. High priority topics High priority topics doesn’t mean UPSC will definitely ask majority of the questions from here. unlike Bank and CAT exam. and brother is 7 years older than sister. division.Tyra’s book on quicker Maths. It only means while you plan your study schedule. the UPSC data interpretation questions don’t test your speed mathematics or long division skill. don’t waste time in Vedic maths tricks for speed maths. At max. and any other 90s era book that bookstorewalla recommends you. 17. M. square roots etc. cube roots. They’re Useless for CSAT and higher level exams. Therefore.) OR quadratic equations. circle-tangent etc. but now is not the right time to learn them fresh. 2. They’re Useless for SSC. addition. If wife is nine years younger than husband. subtraction. 3. because: 1.60) (2009) A gave half of his coins to B and 4 more besides. what is the age of mother? (Ans. Don’t waste time learning Speed maths / Vedic maths For CSAT-Just memorize multiplication tables from 2 to 9. you should finish them first: H1: Linear Equations Sample questions from previous prelims (1998) in a family. UPSC questions on divisibility. B gave half of his coins to C and 4 . CDS and SCRA because they don’t give detailed coverage of Trigonometry. unlike CDS and SSC. and age of son is half of his mother. multiplication. Linear equations are very important for aptitude exams. coins. expenditure related problems 2. 20 years ago. L1: Age problems: silly mistakes Q. (Actually its x1 but for our understanding purpose. Bhootnath was 12 times the age of Abdul B=12(A-20) (this is the most common mistake) B-20=12(A20) . If the total number of coins that she has is 50 and the amount of money with her is Rs. 2 coins with her. then find the number of Rs.72 coins) (2011) a person has only Rs. Both B and D end up with same number of coins. 75. At present. x2+2x+1 This is not linear equation because x has “2” above its head. salary.more besides. 2x+1 This is linear equation because x doesn’t have anything above its head. profit-loss-SI-CI. 20 years ago. take it as just “x”). This is high priority topic for CSAT. Geometry problems etc. Bhootnath is twice as old as Abdul …blah blah blah we’re presented with two conditions Condition Wrong Right B-20=12A or I. Infact this is a quadratic equation. 1 and Rs. from two angles 1. C gave half of his coins to D and 4 more besides. Indirect applications in time-speed-distance-work. It is also part of “upto classs10” syllabus. 1 and Rs. 2 coins with him? (Ans. Bhootnath was 12 times the age of Abdul. But comes under “low priority” for CSAT. direct MCQs about age. How many coins did A have originally? (Ans. 25 and 25) What is Linear Equation? Linear equation means unknown variable (x or y) doesn’t have anything above their ‘head’. corruption and DP Agrawal for everything. B=2A . B-20=12(A-20) present age A and B Eq1. Bhootnath was 12 times the age of Abdul age 20 years ago (-20) A-20 B-20 Eq2. B=2A 20 years ago. “my paper went so good”. How to avoid silly mistake? In age problems. then get wrong answer. then they fail & blame nepotism. Bhootnath is twice as old as Abdul present age A and B Eq1. So junta happily ticks such option. Bhootnath is twice as old as Abdul 2B=A B=2A Many candidates make wrong equations as shown above. so make a column on left side: Age 20 years ago: A-20 B-20 present age A and B Eq1. B=2A Then make second equation: 20 years ago. always prepare a table beginning with present age. Examiner would have even listed wrong answer in option. Observe At present.II. 5 years ago Abdul’s age was………. 2x+ 4y= 12 infinite solution 2x+ 3y=94x+ 6y=18 To learn more about ^this. even two variable-two equation set can be impossible to solve. y. z in such situation. into Eq2 and you’ll solve this effortlessly. refer to NCERT Maths Class 10.Now plug the value of B from Eq1. L2: keep minimum variables Suppose the question is like this “The sum of present ages of Abdul and Bhootnath is 56. table given on the page #9. you get answer. y+z=6 Here you’ve two equations but three variables (x. Examiner will test this by offering you both choice “Cannot be determined”.find the present age of Bhootnath. sometimes even . of silly mistakes. But sometimes. The moment you solve B. x+y=5 II. You can never find out the unique value of x. L3: Cannot be determined Suppose you end up with two equations like this: I. y and z). Chapter3. Hence answer = “Cannot be determined”.blah blah blah…. ” 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”. x+ 2y=4 II. For example No solution I. Solve the four questions 7 12 given immediately.4 do all sums Page 35: example 19 age problem .6 adding-subtracting simple equations.data sufficiency (DS) question. Trinomials & Polynomials (page 233) 12. (page 235) 12. 2 and 3 12. let’s proceed with preparations: @Those weak in maths @Those good at maths NCERT Class10. 8 and 10. Make sure you pick the right answer in right situation. page 243 Formula for no. level sums) Then refer your Quant book: Rajesh Verma or Sarvesh Kumar (not both).5 Monomials. Anyways. NCERT: Linear Equations Class Ch.8 formula and rules.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. of diagonals in a figure. What to focus for CSAT? How to convert statements into simple equation.4 question no.2 do all the sums Page 30: Example 14 digit reversal Page 31: Example 15 about age problem Exercise 2. Binomials. then refer your Quant book. Page 246 Page 247 summary. (Because it has some good CSAT Following NCERT 7. Point 2. 7 4 example 10 age problem on page 90 Exercise 4. flipkart.4.4 most important for MCQs. Stick to substitution & elimination methods. infinite solution / no solutions? Table 3. Page 60 ticket problem example 14 Page 63: do Q. Page 53 Exercise 3.3 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.com/quantita aptitude-quantum-cat-commonadmission-test-into-iims7th/p/itmdwqbnmqzd36h5? pid=9789351416401&affid=mrunalr Ch13.6 only do Problem 6 and 7.2 of exercise 3.1 Page 52 Example 9: understand why the answer is “cannot be determined”.flipkart. Everyone should do this. irrespective of how strong / weak in maths. Elements of Algebra .4 Page 57: solve the apple sum under topic 3. Page 65: example 19 avoid that stupid algebra method. Page 67 Quant book: Linear Equations Rajesh Verma (http://www.(i) to (v) most important for CSAT. Learn Boats and streams topic from my [Aptitude] article click me (http://mrunal.5 but avoid the headache of that cross multiplication method. Page 46: In what situation.Chapter 27 linear equation Sarvesh Kumar (http://www.3 only solve Question No. Algebraic method to solve equations Page 50 understand the substitution method given in point 3.html).4.com/fast-trackobjective-arithmetic3rd/p/itmd68vjuzdcmrs7? pid=9789351760146&affid=mrunalrugm) First solve chapter 27 then chapter 7.Page 35: Exercise 2.org/2012/04/aptitude-boats-and-streams-madeeasy. Understand the consistency system given on in the initial part of this chapter he talks a first page of this chapter. only x=13 will satisfy this equation. ignore it for the moment an then solve all the questions in illustration and directly move to page 525. (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. HCF will be 31. Whenever you have to arrange soldiers or . polynomials. Combined these two Q. Sum of the first “n” natural numbers is n(n+1)/2.how he s them without assuming X or Y. What is the minimum distance each should walk so that each can cover the same distance in complete steps? Ans. Q1 on Exercise2 Ex. 42 cm and 45 cm respectively. “Linear Equati exercises He has explained all four methods to solv you may avoid following type of questions Linear equations. you’ll get total number of bottles: 44.13: Do Question 10 to 18 Chapter 7: Word problems based on numbers Focus on digit reversal problems and age related problems. whether its bells ringing together or bulbs lighting together or people walking together-you’ve Find LCM of those numbers. 3. But stick to substitution because no asked in UPSC elimination method. so [n(n+1)/2] minus x = 177. 2. or even fr equations. Once you plug in the options. motor oil in bottles of equal size without mixing any of above liquids. but he missed “x”. Then divide it with each number. (2009) while adding the first few continuous natural numbers.14 in Exercise1 can handle pretty much every question. a candidate missed one of the number and wrote a wrong answer 177. (2007) A person has to fill three liquids – 403 lit. 25 m 20 cm 4. Which number did he miss? Ans. IF you master this technique. diesel and 496 lt. 465 lt. What is the least possible number of bottles required? Ans. Important: in Level1 exercises question to 31: observe his explanations. Level 1: Do Question 23 to 31. save a lot of precious minutes in the exam H2: Number system Sample Questions from previous prelims 1. Petrol. He wants to plant them in such a way that the number of rows and the number of columns remains the same. (2013) A gardener has 1000 plants. 9 1.5. NCERT: Number system NCERT Chapter 2.Number system basic concept of recurring decimals: example 8topic 1. for what to prepare and what to skip in the quant Then use Quant books.7 comparison of numbers. rational numbers 8 9 Topic to focus for CSAT 1. Example 6 on page39 1.3.6 laws of exponents for real numbers page 241. Ex.2 the properties of rational numbers. Example 5 on page35 4.1’s example 6 3.Rational numbers Table 1. Add 24 more trees so it becomes 1024=32×32.Topic 1.7 summary page 27 HCF. POOR IN MATHS GOOD IN MATHS begin with NCERT No need for NCERT. 16. (chapter wise list given Directly use your Quant book. You just need a good grip over basic concepts. improper.flowers or trees in Equal Row n equal column.2. Playing with numbers. Divisibility rules for 2. books.Fractions and Decimals 7 9. then you have to make it square. topic 9. mixed fraction 2.4 how to find rational number between two rational numbers. proper. most of them can be solved without mugging up any formulas. summary from page 191-92 1. These are not really difficult questions.page 179 2. example 6: direction sense test page 186 3. LCM how to find . Refer to appendix of this below) article. Real numbers 10 Page 10 Example 6.Exponents & powers how even-odd powers change the sign of negative numbers 13.4.6 expressing large numbers in std. Ignore Euler and irrational numbers.4. Related articles under my [Aptitude] series: 1. Cube and Cube roots geometry angle.form table in 6. NCERT Powers & Exponents NCERT Chapter Topic to focus for CSAT comparing numbers with powers 7 13.org/2013/03/aptitude-lcm-hcf-gcd-basic-conceptcalculation-applications-explained. 8 7.html) .Powers 12. squares and square roots Numbers between square numbers.2 6. 12. 6.7 estimating square root.3 Laws of exponents.org/2013/01/aptitude-remainderone-number-and-two-divisors-number-theory.example 7.1 Comparing very large and very small numbers. Page 19 note to reader. 8 and the remark given at bottom of it.2 12. Remainders: one number and two divisors (http://mrunal.2 Pythagorean triplets 6. Page 11: Question 7 important concept for circular race tracks.2.the lines given in italics.1.html) 2. LCM-HCF Simplified (http://mrunal. If the cost of the article is Rs. so note it in your “diary of mistake”. what is his profit? Ans. buying fraud of 100 gm per 1000 gm = 1100 gm selling fraud 100 gm per 1000gm = 900 gm Unit cost price per gram= Rs. you have to solve all questions from your quant book. what is the selling price? Ans.72. Hint: Assume 1 gm costs 1 rupee. Even solve the already solved sums given in the “illustrations”.650.After this is done. (2010) two numbers X and Y are respectively 20% and 28% less than third number Z. (1998) A man bought two clocks A and B for total Rs. Refer to bottom of this article “Appendix A3″. Shopkeeper keeps the weight measure in left pan while buying goods but keeps it in the right pan while selling goods. percentages and profit loss. for what to prepare what to skip from Rajesh / Sarvesh.CI Sample Qs. 2. Find per unit price while buying and selling. He sold A at 20% profit and B at 25% loss. 4. If he sells goods at the listed cost price. (2002) Trader fixed the price of an article in such way that by giving a rebate of 10%. (2005) Left pan of a faulty weigh weighs 100 gms more than the right pan. It requires your understanding of linear equation. gist of the question is: he frauds 10% in buying and 10% in selling. He only uses 1 kg weight. and B’s 400. 3. By what % is the number Y less than number X. Pro섫涵t Loss. So. from previous prelims 1. Ans 10% . on each trading sequence. If he had kept selling price of both clocks the same. A’s cost price 250.1000 paid/ per 1100 gm bought unit SP =Rs. then what were the cost prices of each clock? Ans. SI. H3: Percentages. 92 rupees. he made profit of 15%. 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. org/2013/01/aptitude-productconsistency-shortcuts-ssc-ibps-csat-cat. ultimately it’s a problem of inverse relation between .500 for two years is Rs. Average Wages (Wine-Water Concept) (http://mrunal. Population Growth without Formulas (http://mrunal. Product Consistency: If Sugar price increases then consumption should be Decreased by What %. 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/2012/04/aptitude-compound-interest-rate. H4: Ratio Proportion Variation Partnership (RPVP) Sample Qs. (2010) Difference between simple interest from two banks on Rs. Time-Speed-Distance problems.2.org/2013/01/aptitude-alligation-interest-rates-profit-loss-averagewages-wine-water-concept. you have to solve all questions from your quant book. for what to prepare what to skip from Rajesh / Sarvesh. what is the difference between their rates? Ans. refer to following articles: 1.html) 2. Even solve the already solved sums given in the “illustrations”.html) 4.html) After this is done. but still solve NCERT as warm-up exercise for multiplication and division. (1998) If 15 pumps of equal capacity can fill a tank in 7 days. Alligation: Advanced applications in Interest rates. without mugging up formulas. Profit-loss. Refer to bottom of this article.5. 0. (http://mrunal.5. Class 7 Ch8 Class 8 Ch8 To learn how to solve such MCQs. then how many extra pumps will be required to fill the tank in 5 days? Ans.html) 3. Compound Interest Rate. from previous prelims 1.25% 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. 000. Inverse variation topic. How long would the soldiers be able to carry on with the remaining food? Ans. the total number of corns in the collection now becomes what? Ans. PS: Even those good at Maths MUST do the sums from Class8 Chapter 13. too rudimentary stuff. 3 months 3. there is one gold coin for every three non-gold coins. how many days will the tank-full petrol last? Ans. if 25 more students join the group? Ans.html). Class 7 Ch. How long will these provisions last.30. (2002) Amit Shah started a business with investment of Rs. 10 more gold coins are added to the collection and the ratio of gold coins to non-gold coins would be 1: 2. 3:7 5. Basics of variation. 1000 more soldiers joined the garrison. (2013) In a garrison. 8 days. (2013) in a rare coin collection. 90 4. If he starts using 25% more every day. use it just for warm up exercise for multiplication and division. profit was divided in the ratio of 2:1. After 10 days.org/2012/05/aptitude-partnership-and-profit-sharing. (NCERT Class8) There are 100 students in a hostel. Ans. Food provision for them is for 20 days. 8 What To Focus Basics of Ratios.1200 Understand the partnership concept from this article: (Aptitude) Partnership and profit-sharing made Easy (http://mrunal.speed vs time) 2. 6. 70 are male and 80 have a driver’s license. 10 days. At the end of year. Find the actual distance between them.1 Question 5 to 10 . Two cities are 4 cm apart on the map.20. (2013) Out of 120 applications for a post. 7. page 207 example5 interesting Page 208 exercise 13. After how many months did Rahul join the business? Ans. (2013) the tank-full petrol in Arun’s motor-cycle lasts for 10 days.000. Rahul Gandhi joined after some time and invested Rs. Based on the information. Although most of the chapter is focused on percentages. 16 days. What is the ratio between the minimum to maximum number of males having driver’s license? Ans. (NCERT Class8) The scale of a map is given as 1:30000000. there was food for 1000 soldiers for one month. 8. Ans. This type of questions asked in CSAT. Notice Q5. Car X stops at 10 a. MOST IMPORTANT– how long the food will last. while the other car Y continues to run without stopping. and continues to do so till Rahul reaches Aryan. 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. If A works at twice his speed and B at half of his speed. Refer appendix for what to prepare. Such quickfixshortcut-moodswing based preparation usually lead to #EPICFAIL. LCM (H2). Their speeds are 4. (2001) A worker reaches his factory 3 minutes late if his speed from his house to the factory is 5 km/hr. Both the cars run at an average speed of 60 km/hr. The distance of the factory from his house is ___? Ans 5 km 2. How many days would it take for A alone to complete his job? Ans 10 days 5. You need good command over all those basic concepts from H1 to H4. Then solve your Quant book. Sample questions from previous prelims 1. what to skip. Proceed in a systematic manner. 5. But Juntaa directly starts preparing STDW without learning first four blocks because last time UPSC asked many MCQs from STDW.2 Q4 to 11. The dog reaches Aryan and then comes back to Rahul.m.8 13 Page 212 example 7.m. Rahul follows him after an interval of 5 minutes and runs at a speed of 50 meters/minute. (2010) Three men start together to travel the same way around a circular track of 11km. (2005) Aryan runs at a speed of 40meters/minute. Understand the concept well.m. When do the cars cross each other? Ans 3:20PM 3. this work can be finished in 4 days. because these sums also test your understanding of Linear Equation (H1). (2007) A and B can complete work together in 5 days. When will they meet at the starting point . Question 8. H5: Speed Time Distance Work (STDW) This is fourth block.5 and 8 kmph respectively. Percentages (H3) and ratios (H4). and again starts at 11 a.. Exercise 13. 8 and 9. If he walks at a speed of 6km/hr. its identical to the ‘food lasting’ problem. (2004) Two cars X and Y starts from two places A and B respectively which are 700km apart at 9 a. then he reaches the factory 7 minutes early. 2. Go through following articles: Time-speed-Distance 1.org/2012/03/aptitudetrains-platforms-tsd. what is the original speed of the train in km/hr? Ans. (2013) A thief running at 8 km/hr is chased by a policeman whose speed is 10 km/hr.42 kmph NCERT not much useful here. If it takes 3 hours to complete the total journey. 2 hrs 8. (2013) A person can walk a certain distance and drive back in six hours. 40 km 7. 3 min 9. because it runs on the LCM method and doesn’t dwell on all varieties of questions. Distance) made easy (http://mrunal. Boats and Streams made-easy using our STD-Table Method Time-speed-work . If the thief is 100 m ahead of the policeman. trains. All of these can be solved through just one formula: STD (speed x time =distance). Platforms TSD (Time. Speed. Trains. How far is his office? Ans. STDW is made up of two topics 1. How much time will he take to drive both ways? Ans.”. Speed time work “A can complete a work in…. then the time required for the policeman to catch the thief will be what? Ans. boats etc. platforms.for the first time? Ans 22 hours 6. The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance. Kumar drives to work at an average speed of 48km/hr. (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.html) 2. He can also walk both ways in 10 hours. (2012) Mr. Speed time distance cars. “pipe A can fill the tank in …” etc. 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. Product Consistency: Time-SpeedDistance problems (http://mrunal.html) 3.html) Once you’ve understood this STD table concept.org/2013/02/aptitude-q- work in x days.000 per year? Ans.org/2012/05/aptitude-time- shortcut-using-product-consistency- n-work-4-men-and-6-women. Twice the sum of B and C is 30. B 3.html) efficient-b-b-leaves-completion-variety- 4.html) 2.html) method-for-ssc-ibps-csat-cat-cmat.org/2013/01/aptitudeproduct-consistency-shortcuts-ssc-ibpscsat-cat. A & B start work.html) work. then apply it while solving the illustrations and exercises given in your quant book. 1200 . 12. STD table : Application in train man bridge. share in wages & other special bridge-time-and-work-problems. Time n Work: 4 men and 6 women can (http://mrunal.org/2013/01/aptitude- complete a work in 8 Days then time-n-distance-early-and-late-to-office- (http://mrunal. Allegations 1. Average Speed made easy without leaves before completion & variety of Formulas cases (http://mrunal. B and C is 14. H6: Averages.org/2012/04/aptitude- 1.org/2012/11/speed- 5. What will be monthly average income of person in the same family if the income of one person increased by Rs.org/2012/05/aptitude-tsd- time-work-two-men-can-finish-work-3x- average-speed-made-easy.html) cases (http://mrunal.(http://mrunal.html) 6. A is 3x more efficient than B.1000. time and work problems cases. (1997) the average monthly income of a person in a certain family of 5 is Rs. 27 2. [Speed Time Work] Two Men can finish a boats-and-streams-made-easy. C joins std-table-application-in-train-man- after x day. (1996) If the average of A. [Speed Time Work] Three men can finish a (http://mrunal. What is the value of A? Ans.org/2012/11/speed- (http://mrunal. Average Wages (Wine-Water Concept) (http://mrunal.org/2013/02/aptitude-averages-entry-removal-of1-element-increase-decrease-in-average-shortcut-method-explained. (2011) A student on her first 3 tests received an average score of N points.Mixtures. So. instead of NCERTS. They mainly deal from “Statistics” angle.html) [Aptitude] Alligations. then what is the average score for the first 4 tests? (Ans.IBPS Aptitude (http://mrunal.3.html) [Aptitude Q] Mixture and Alligiation: Change Alcohol concentration from 15% to 32% [Aptitude] Alligation: Advanced applications in Interest rates.Alloys: Water.org/2013/01/aptitude-alligation-interest-rates-profitloss-average-wages-wine-water-concept.CMAT. N+5) NCERTs don’t provide the street-smart techniques OR the requisite variety of questions asked in aptitude exams.Wine mixing: Weighted Average Made Easy for CSAT. consult following NCERT chapter (although quite unnecessary because everyone knows this much basic. If she exceeds her previous average score by 20 points on her fourth test. 15 (These are useful for data interpretation though) 9 14 .org/2013/02/aptitude-averages-more-than-two-elements-addedremoved-shortcut-technique-explained. if you really want to learn the basics. first go through following articles: [Aptitude] Averages: Entry / Removal of 1 element => Increase / Decrease in Average Shortcut method explained (http://mrunal.CAT.html) [Aptitude] Averages: More than two elements added / removed : shortcut technique explained (http://mrunal.html) Then solve all the illustrations and examples from your Quant book. (Statistics is asked but low-priority for CSAT).org/2012/03/aptitudealligationsmixturesalloys.) class ch 7 3 8 5. Profit-loss.Milk. pie charts.10 14 H7: Data Interpretation (DI) GRAPHICAL TEXTUAL 1.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. At no point of time during heating did the two liquids have the same temperature c. line graphs 2. bacterial growth graphs etc. 1. (d) . Tabulation DI-1: odd. Venn diagrams 2. “Odd” speed graphs. Q attained the temperature of 100 degree C faster than P ANSWER. P attained the temperature of 100 degree C faster than Q d. liquid P remained hotter than liquid Q throughout b. bar graphs. During heating. D ran faster than others in the later part of the race. Correct answer: (B) hint: you should add numbers on both axis. A stood first in the race 2. Answer choices 1. C led all the way 3. 2 and 3 false.[Prelim 1996] Following graph represents a race among four persons. while 2 correct 2. then find what time each took to finish the race. 1 and 3 false. 1 and 2 false. 1 is correct. 1 and 3 correct while 2 false 4. Consider following statements 1. you’ll see “D” won the race. . while 3 correct 3. 2 and 3 d.The yield is neither minimum nor maximum at C Which of the above statements are correct? a. 3 and 4 c.2 and 4 b.[Prelim 1999]The yield versus fertilizer input is shown in the graph.Yield rate is zero at B and C 2. 1.(b) .The yield is minimum at D 4. 1.3 and 4 ANSWER. Consider the following statements based on this graph: 1.There is no yield with no fertilizer input 3. even CAT. First understand following concepts from NCERT Class8.1: Q1 Patient’s temperature . I call them odd graphs because usually unseen in other aptitude exams. You’ll also find odd graphs in last three CSAT papers (attached at bottom of this article). Q was always faster than R in learning Mathematics ANSWER.(a) Hint: add numbers on both axis. R was always faster than Q in learning Mathematics d. But these graphs are not falling from sky. I’m not copying them here because more images=slower loading webpage. Chapter 15 “Graphs” Page 234-35: Example1 two cricketers performance graph Page 235-36: Example2 car average speed graph Exercise 15. Q started slowly and finished learning the lesson earlier than R c. R started slowly in the beginning but got ahead of Q to complete learning the lesson b.[Prelim 2000]The following figure represents time vs learning curves of two students.Q and R for learning a Mathematics lesson: Which one of the following can be drawn from the graph? a. topic is given in NCERT. then you’ll see who is learning to what pace. CAPF and SCRA = too time consuming exercise. you will find a few such question under 1. Anyways. But again cost:benefit not that great IF you start digging through all previous papers of CDS. the Examiner seems to be utilizing the same DI Question bank from the secret server in the basement of UPSC Headquarter). CAPF and SCRA exams (For all four major exams of UPSC. But if you want to solve them with NCERT technique. 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. Although they’re sporadically asked in CDS. aptitude manuals . it becomes very easy to compare P vs Q and eliminate options accordingly. usually they don’t give numbers on the axis. Observe following image Once you add numbers like this.Page 237-38 Q3. They’re usually not asked in Bank and CAT. Usually give you 3-4 text statements and ask which requires you to find exact mathematical answer. Difficulty wise.16.55.2. CST magazine’s mock tests.37 etc.19. Same . especially on mobile browser.). DI-2: bar graphs.above SSC and little below BankPO Data Interpretation in BankPO/ CAT Often require lengthy calculation and long divisions. You don’t have to specifically buy them only for the “ODD graphs”. pie charts I’m not adding their samples questions here. one of them are correct as per the given chart.16.7. UPSC CSAT Usually calculations are easy – you’ve to do 10%. 23. even prime numbers (17. To make difficult questions from pie chart.67) so you can’t eliminate wrong choices by logic or guestimation. Meaning they don’t usually require you to find exact mathematical answer. But you’ll find the samples in the last 3 CSAT papers attached below the article.16. often the four options are very close (16. Although you’ve to do maths /apply logic to eliminate the wrong statements.5. you’ve to do exact calculation without any mistakes. they usually make a combo of two pie charts OR 1 pie chart + 1 bar graph or 1 pie chart + 1 table. 25% of something and you’ll get the answer. because dozens of images =slow loading webpage. 20%. Borrow whatever you can from library / friend circle. what percent of those surveyed owned a car and a mobile phone or both? Ans. [2001] In a survey. Some students can speak only English and some can speak only Hindi. then how many can speak Hindi. But for CSAT DI. [1998] There are 50 students admitted to a nursery class. But even in them.29 and 11 respectively 2. Also don’t waste time on internet gathering bank papers – they’re usually too scattered and bad PDF quality. to gain command you’ve to get practice.8% took Physics and 59. avoid sets that require lengthy calculations and long divisions. Where to get practice DI sets? 1.To get a basic overview of Pie charts. 85% 4.2% took Mathematics. Just hit the library and go through those magazines. 30% student play football and 10% students play both the games. Hence your best bet is bank PO exam papers. [2000] In an examination. 65. so avoid 3. 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. If the number of students who can speak English is 21. 500 3. But as such it doesn’t contain any street smart tricks OR sums relevant to CSAT. every candidate took Physics or Mathematics or both. Therefore. how many can speak only Hindi and how many can speak only English ? Ans.How many candidates took both Physics and Mathematics? Ans. The total number of candidates was 2000. What is the number of students who . SSC sets far easier than CSAT. 10 students can speak both English and Hindi. If 55% owned both a car and a mobile phone. CAT sets will be an overkill. you don’t need any separate book.it was found that 80% of those surveyed owned a car while 60% of those surveyed owned a mobile phone. DI-3: Venn Diagrams Sample questions from previous prelims: 1. Sarvesh or Arun Sharma. 39. Yes but where to get BankPO papers? Ans. It’s a clever marketing trick to sell another separate book for DI. 60% students play cricket. so avoid 2. [2011-II] There are 100 students in a particular class. bar graphs etc you can consult NCERT class8 chapter 5. Formula of n(AUBUC). page What to focus for CSAT? 16 Properties of intersections. Perhaps. examiner considers it “Reasoning” and not “maths”. As such Venn diagram is class11 topic but UPSC has repeatedly asked it both in pre-CSAT and CSAT era. logical Venn diagrams (we saw in previous article) 2.20 There are two sub types: 1.find total people in the society.. 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. In a society 10 people drink tea. 17 Example 18.blah blah blah.play neither cricket nor football? Ans. this is the “basic” of all 2 circle Venn diagrams. At max it should take ~3 hours to finish this topic at home. but understand the concept from those colored regions in those five image boxes. Start preparation with Class11 NCERT Mathematics chapter1. Venn diagram is a very easy “NO EXCUSE” topic. As such you can solve 3 circle Venn diagrams with just logic . you don’t have to mugup formulas.. Nonetheless. If and when required take n=0. 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. mathematical Venn diagrams (that we’ll see here) Don’t assume A+B=total Q. 4 people drink both coffee and tea…. solve all the sums in your Quant book (+ whatever sums you get in Pratiyogita. 22-26 All the illustrations and all the exercises. Reduce expenditure on subsidies d. but sometimes problems are trickier and you need this formula. 27 Q. All members are married except for 9 women members.80.4 1994-95 13. Spend more and more on interest payments c. CST etc. it can be said that the Indian economy is in poor shape because the Central government continues to be under pressure to : a. Two-thirds of them are men and the rest are women. 50% of the .0 16.00.13 to 16 After this.27 4.000 out of which 1.3 13. How many married women are there in there in the club? Ans. Reduce expenditure on defence b.21 of “this portion minus that portion”.) 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 15.7 16.(b) 3. (2001) A city has a population of 3.000 are males. (2000) A club has 108 members.6 27.7 23 Based on this table. Spend more and more as grants-in-aid to State government/Union Territories ANSWER.7 8.6 38.1 27. blah blah people drink both coffee and blah…. This is one of the main reasons why people cannot finish paper on time and fail in the CSAT. no overlapping circles. people who like tea. ** people work in marketing blah blah blah….. but table = less changes of error. If 70% of the males are literate. ** people work in R&D. Then they try second approach. the number of literate females is __. This is not difficult. woman is woman. separate columns. tea…. Sometimes.blah blah blah. they simply start scribbling data either in table or in Venn diagram.then find ___. ** own bike…. people in the society. in a society ** people own car.. but make silly mistakes in addition / multiplication so finally after wasting 20 minutes they leave the sum.. Person who works in HR cannot work in R&D at the same time. Observe Tabular question Venn diagram question 1. Those who own car. but juntaa doesn’t practice at home so in the exam they cannot decide which way to proceed.Should I make table OR Venn diagram? So.? Ans 24. Total female are **. in a company ** people work in HR. You can make two columns: union vs non-union and further two sub columns man vs woman. These are all Overlapping circles are possible.then find __. question descriptions of tabular vs Venn diagram sound very similar. Man is man. until they get nowhere after 10-15 minutes of calculation.000 You can solve Q3 and Q4 by directly framing linear equations. 4 members. DONOT start scribbling numbers.find total 2. may also like coffee.blah blah blah Overlapping not possible. out of them ** union 1. may also own bike. In a company ** male.population is literate. but the main difference: the players in a tabular questions will not have “overlapping”. UNLESS you know exactly how you’re going to reach the answer. In a society 10 people drink tea. . 2. same way. com/quantitative- . (2pi4)m3 How to proceed? if you don’t have Sarvesh Kumar (http://www. made to roll around the bigger coin till it returns to the position from where the.3 times 3. into a circular pond with the diagonal of the square as diameter as shown in the figure. Previous papers of General Studies (Mains) paper II upto 2012. DONOT spend so much time on a single question. process of rolling started. UPSC’s tabulation MCQs don’t involve that lengthy calculations unlike IBPS/SBI. However some area of land was still left as a square could not be formed. [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. Because in those years. H8: Geometry: Area volume perimeter (AVP) Sample questions from previous prelims 1. even if it’s “Data interpretation”. 2. then what would be the volume of the earth to be removed? Ans. Banking chronicle etc. [1998]A square pond has 2m sides and is 1m deep. UPSC had statistics and DI section under Mains syllabus and they used to ask such tabulation questions. So. 120m x 36m 2. What are the dimensions of the original plot? Ans. [2010]The diameters of two circular coins are in the ratio of 1:3.Keep an eye on the wrist watch. Bank papers given in competitive magazines Pratiyogita. Anyways where to get practice? NCERTs not much useful here. the depth remaining the same.flipkart. How many times the smaller coin rolled around the bigger coin? Ans. Beyond that 1. The smaller coin is. 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. You’ll find some questions within Venn diagram chapter of your quant book. but keep in mind. If it is to be enlarged. 22. 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. Proceed in following sequence: . 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. Because he has neatly summarized all theorms. Example 4 205 ex. formula and special questions given in NCERTs.aptitude-quantum-cat-common-admission-testinto-iims-7th/p/itmdwqbnmqzd36h5? pid=9789351416401&affid=mrunalrugm) First NCERTs then your quant book.3 to 6.3 225-26 Example 20. 21.6 207 all questions and summary Class9 Chapter 13: surface area volume. if you’ve Sarvesh Kumar No need to consult NCERT. 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. Class10 Chapter 13 This chapter deals with volume of ‘combo’ figures. 8. Semi-sphere above a cube & so on. 1995: UPSC asked question similar to example 11. Appendix: Download links . — next article.1 227 formula for area of a sector 230 Q3. 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. They keep asking such combo images and shaded areas. we see how to approach the medium and low priority topics under mathematics for CSAT. 9 231 Q10 to 14 231238 all illustration and sums important for CSAT. However.net/0s4I32bAjTl3bm (https://files. not all chapters / topics given in such books.A1: Last three years o䀉⒓cial CSAT papers https://files. So.google. all contain official answerkey from UPSC A2: NCERT Mathematics Topicwise Sorted free download https://files. reasoning.secureserver.net/0s4I32bAjTl3bm) except CSAT-2013.net/0fmaNqqBDslHlc) A3: Quant books: What to prepare. you’ll need to practice maximum sums from your quantitative aptitude book.secureserver.google.com/file/d/0B0DPgaYAtDgmZkpna1FNV2N2RVE/edit) Visit Mrunal. Mrunal recommends SBI/IBPS Bank Exams UPSC Civil Service SSC CGL: Staff selection CDS: Defense Services .org/aptitude (http://Mrunal. consult following PDF files on what topics to focus and which topics to ignore: 1. Fast track to Arithmetic Rajesh Verma What to prepare what to skip for CSAT (https://docs. are important for CSAT. Quantam CAT Sarvesh Kumar What to prepare what to skip for CSAT (https://docs.secureserver.org/aptitude) for more articles on aptitude. what to skip? Beyond NCERT.secureserver. maths.com/file/d/0B0DPgaYAtDgmQ0Fya1QtUkpzTUE/edit) 2.net/0fmaNqqBDslHlc (https://files. html) [Studyplan] CSAT Aptitude Paper 2: Comprehension & Reasoning. previous papers. unless.org/2014/06/studyplan-csat-aptitude-paper-2-decision-makingmaths-medium-low-priority-topics-sample-questions-free-studymaterial-part3-3. CAT shortcuts formulas approach explained (http://mrunal. shortcuts explained (http://mrunal.org/2013/08/reasoning-calendar-questions-findingday-or-date-concepts-shortcuts-explained.org/2013/07/trigonometry-findingminimum-maximum-values-for-ssc-cgl-made-easy-withoutdifferentiation. either or) for CSAT.html) Print | PDF (need Chrome) (http://mrunal. analysis. free studymaterial.org/2014/06/studyplan-csat-aptitude-paper-2-comprehensionreasoning-analysis-previous-papers-free-studymaterial-cutoffs-part-1-2.org/2013/04/reasoning-logicalconnectives-if-unless-either-or-for-csat-cat-shortcuts-formulas-approachexplained.org/2014/06/studyplan-csat-aptitudepaper-2-maths-data-interpretation-high-priority-topics-sample-questions-free- .html) [Trigonometry] Finding Minimum Maximum Values for SSC CGL Made Easy without differentiation (http://mrunal.html) [Reasoning] Logical Connectives (if. CAT/IIM MBA Entrance ACIO Intel Officer More from this category [Studyplan] CSAT Aptitude Paper 2: Decision Making + Maths Medium & Low priority topics. free studymaterial (part 3 of 3) (http://mrunal. Sample Questions.html) [Reasoning] Calendar Questions: Finding day or date. concepts. cutoffs (part 1 of 3) (http://mrunal. HTML? REPLYTOCOM=215693#RESPOND) B. God Bless! REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3.google.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.Can We Prepare for CSAT from Banking Related Books….plz advice . 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.D Murnal Bhai…. Thank you so much. Warm Regards.HTML? REPLYTOCOM=208624#RESPOND) vivek Mrunal sir. can you please upload your ‘diary of mistakes’ for last minute revision here. or that of anyone? Since we have very small time to make our own. I can now kick start my CSAT-2.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.studymaterial-part-2-3.Or We Need to buy new books….i.html/print/) Get notified whenever I post new article! (http://feedburner.. REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3.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. In pdf only mentioned Chapter numbers without title of the chapter. For ex Linear system u mentioned ch27 but in this new ed ch 27 is Boat n stream. I cant get old ed ch details from net also.. Pls kindly add ch titles or revise it for new ed.HTML? REPLYTOCOM=217111#RESPOND) nishant natu sir the plan u gave for rajeah kumar is not matching to the new edition…. So cant understand which chapter is imp and which to ignore..pls give chapter names rather than chap number…. 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.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…. thank you.HTML? REPLYTOCOM=217374#RESPOND) MIKU . Thanks REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3. Why are you not solving CSAT 2011. In case if it is available in this site . Kindly help Thanks REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3. Like CAPF .HTML? REPLYTOCOM=229837#RESPOND) vikram mrunal sir .2012. REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3. ACIO math and reasoning pblms ... the ans should be N+20..N+5 .H6 averages and allegations .2013 pblms in detail ( You solve only paper 1 ). 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=217811#RESPOND) miku no it okay ...HTML? REPLYTOCOM=235148#RESPOND) .my mistake. 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).. q3 from csat 2011.HTML? REPLYTOCOM=217539#RESPOND) Abhishek Kumar Hi Mrunal. REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3. com (mailto:push.HTML? REPLYTOCOM=247432#RESPOND) KK Sir. Thanks.com) Regards.sharma007@gmail. 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.HTML? REPLYTOCOM=278411#RESPOND) Balmukund kumar Notify me about all upcoming exams and their syllabus time to time.pushpendra Very useful indeed.HTML? 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.HTML? REPLYTOCOM=304980#RESPOND) surbhi . Are there maths questions for practice available on ur site sir? If any one could e mail me at my id push.sharma007@gmail. 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. . thanks REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3. This is Santosh from Hubli(Karnataka).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.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….sir. I am an UPSC aspirant & has targeted for 2016.HTML? REPLYTOCOM=311293#RESPOND) Santosh Bhajantri Hello Sir. Again I don’t know how I cleared 4 math subjects in my engineering passed. Sir I have flunked my maths in 10th and passed in supplymentry with border marks 33. I could only solve some questions. I flunked. Santosh Bhajantri REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3. Please suggest me how to prepare csat and some special topics and books.1.HTML? REPLYTOCOM=313154#RESPOND) ashok Respected mrunal. So again now I am facing the problem in csat. Regards.HTML? REPLYTOCOM=331047#RESPOND) om parkash . Sir please help me out of math phobia.. 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. Do I need to go for old NCERT books? Could you please me in this. REPLY (/2014/06/STUDYPLAN-CSAT-APTITUDE-PAPER-2-MATHS-DATA-INTERPRETATION-HIGHPRIORITY-TOPICS-SAMPLE-QUESTIONS-FREE-STUDYMATERIAL-PART-2-3. It started from that time onwards. i could practice as the test series are very expensive everywhere « Previous (http://mrunal. so that. though i am preparing for csat paper 2 according to your plan.html/comment-page-1#comments) 2 Write your message! Name? Email ID? What is your Message? Search before asking questions & confine discussions to exams related matter only.org/2014/06/studyplan-csat-aptitude-paper-2-maths-datainterpretation-high-priority-topics-sample-questions-free-studymaterial-part-23. 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(http://mrunal.Type n Press Enter 32 Days : IES 41 Days : GUJ-DySO 41 Days : CSIR-JRF 48 Days : CMS-15 62 Days : CAPF-15 90 Days : SSC CGL15 104 Days : CSAT-15 145 Days : IBPS-PO-15 208 : IBPS-Clerk-15 221 Days : Mains-15 Recent Comments CYRIL { Any change in SSC pattern? Frightened and confused? somebody please throw some light on this link: http://ssc.nic. org/2014/07/ias-topper-rank-1-gaurav-agrawal-ips-iit-iim-economicsoptional. (http://mrunal.org) . pls get. MEIS-SEIS.. } – [Economy Lecture] (Contid.. GIFT.org/2015/05/economylecture-gift-city-yuan-undervalued-meis-seis.MOHIT { Mam.. Scroll down (http://www. GIFT. should caste remain in OBC from centre list or state list OBC will be fine from Maharashtra? Also. thank you.. (http://mrunal.. Russia & South.html/comment-page-1#comment-331188) ANU { Sir. (http://mrunal. (http://mrunal.. 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