Graphs Ordered Pairs Completing Ordered Pairs Date: Fill & Download for Free

Ecology used to be my favourite topic back then.And why wouldn’t it be! Studying about your surrounding, mechanisms behind nature’s working, interaction between the environment and the individual; everything seemed so fascinating.And the literature of NCERT is beautiful. It’s been written in a nice and artistic way. Apparently, the whole Ecology section was influenced by some foreign literature, I’m not sure though.Well, coming to the point about how can you master it. I must say some points may appear vague at first. The concepts are interrelated, but really interesting at times. Subsequently everything will fall to its niche. :p. Just hold onto it.The unit has been divided into four chapters. You all must be familiar with the ecological hierarchy: Organism, Population, Community, Ecosystem, Biome. Here you will study about three in detail: Organism, Population and Ecosystem.The first chapter is named ‘Organisms and Populations.’ So, this will restrict your study around an individual and the population only.I’ll try to list down probable concepts for the exam, but you must study everything in the NCERT at least:-Biome distribution graph (pg 220):- Remember the labelling. They might give you a plane graph and ask you to label any one of them, for ex, Coniferous forest.Conformers and regulators:- A number of students struggle with it. And, it’s one of the important concepts for the exam. So, pay attention to it. Learn some examples as well. And, that ‘migration’ and ‘suspension’; damn important, learn everything about both of them.Population growth curve:- Leran the formulae in such a way that you could pick the correct one among the other altered ones. The curve is itself divided into different phases, pay special attention to it. Remember the abbreviations as ‘r’ indicates ‘intrinsic rate’ and ‘K’ is for ‘carrying capacity.’Population density and related factors (pg 229):- Remember the specific positioning of the terms: Immigration, Emigration, Natality, Mortality. They might omit them, and ask you to fill the blanks.Population interactions:- Start with understanding the concepts. Remember the interactions in pairs for the ease of memorization. Ex: Commensalism and Ammensalism would form a group, so will Mutualism and Competition, Predation and Parasitism are similar in a way. Then move onto the examples. Learn them pointwise, so that you could have everything clear during the paper. Ex:The various concepts under the heading ‘Population interactions’ are subtle. There are principles (ex: Gause principle), experiments (ex: Connels’ field experiment, MacArthur’s observation about Warbler species), and a lot of other concepts. They might even reform NCERT lines a bit to check your preparations. I’ll show you how?Consider the following statements:a) Resources need to be limiting for the competition to occur.b) Resources need not be limiting for the competition to occur.c) Two closely related species competing for the same resources cannot co-exist ever.d) Two closely related species competing for the same resources can not co-exist indefinitely; this may be true if resources are limiting but not otherwise.What do you think about above statements? How many of them are true and how many are false? Such questions has been asked recently. Actually, a and c are false; and, b and d are true.Hence, you gonna have to take great interest in understanding concepts, so that you could tackle above kind of questions.Above were some points but you must read complete chapter a couple of times to reach the depth of the concepts. Practice questions, analyse where you lack and improve those areas.Let’s move onto Ecosystem. Start with remembering the names of those eight subheadings (pg 241). You will have a better chance of retaining the matter. Let’s start.Remember the names of components of ecosystem: Productivity, Decomposition, Energy flow, and Nutrient cycling (pg 242).Remember the definitions, formulae and units of those terms related to ‘productivity.’Learn the difference among different steps of decomposition viz, fragmentation, leaching, catabolism, humification and mineralisation.Plants capture 2–10% of PAR and hence 1–5% of ISR. As, PAR is half of ISR (pg 245, 1st para). Learn it by heart. One of my friends had a bad experience with it.Inverted biomass pyramid, yeah that related to phytoplanktons and zooplanktons. Well, if you ever wondered about how was that possible; actually the phytoplanktons have a higher biomass production rate, so by the time fishes would consume some of them, the rest would have produced a greater amount of biomass already.Rember the steps and corresponding diagrams of succession (pg 252). Examples of the vegetation at that stage as well, if possible.That flowchart of phosphorus cycle may be asked (pg 255). They might omit some steps as usual and ask you to fill them.Remember the individual price tags on different services by Robert Constanza. Ex: 50% for soil formation, 10% for recreation and nutrient cycling each, etc.Above are some of the important points. Do not forget to go through the chapter a couple of times and practice a lot of questions.‘Biodiversity and Consevation’ is much about learning data. Go through the chapter in one sitting and during the second sitting write down the things that you gonna have to mug up. Anyway, let’s get started.50,000 strains of rice and 1,000 mango varities. And, much more of similar statistics. Write all of them at one place and go through them often.Those three graphs on pg 260 are among the important. Practice the labelling, don’t get them wrong in the exam hall. Some of them are confusing, ex: You might interchange Fungi and Angiosperm, similar with the order of Mammals, Birds, Reptiles and Amphibians.That Species area graph is important (pg 262). Remember the term like ‘rectangar hyperbola’, scientist’s name Alexander von Humboldt and the value of ‘Z’ being 0.1 to 0.2 or 0.6 to 1.2.Now, move onto biodiversity loss; learn about ‘The Evil Quartet’ and the examples involved. Ex:Biodiversity conservation is the portion from where there is always a great chance of questions being asked, especially from in-situ and ex-situ conservation. So try to leran the related things as much as you can. Name, date, place and purpose of summits, techniques used in biodiversity conservation, any recent updates, everything.Following are some related screenshots that might help:Understand the concepts and write the material into bullet points as above. And, questions practice and revision are important as well.Move onto the last chapter ‘Environmental Issues.’ The chapter deals with topics like pollution, environment protection laws, and the progress we have made so far. I’ll try to list them down.First of all, prepare a list of all the Acts alongwith their implementation dates. You can add other important dates as well, something like this:-That diagram of Scrubber and Electostatic precipitator along with labelling are important (pg 271). Especially the ‘Collection plate grounded’ and ‘Negatively charged wire.’Remember the date of implementation and the vehicles covered under the varios Bharat Stages.BOD and its graph, understand the concept behind BOD.Remember the meaning of terms like ‘Biomagnification’ and ‘Eutrophication.’ Sometimes they are asked as such.Learn the percentage contribution of different greenhouse gases to total global warming (pg 281).At last, go through the list of Summits, Protocols, etc related to environment protection. Yeah, those related to Ozone layer depletion, etc.I’ll add a recent update in the row, guess it might be asked:-Courtesy: InshortsSo guys, above was my piece of experience to help you with Ecology. I’ll share my story. When I had first started the unit, to be honest, a lot of things would go above my head as well. And that complicated language of NCERT didn’t help either. I guess some of you might be feeling the same now. But as the time passed, I read the chapters few times, solved related questions; and finally, I ended up growing great interest in it.So there’s nothing to worry about. You can have a good control over it, if you focus a bit. I would just say that don’t fret much, give the subject some time, stay consistent, everything will make sense.Rome wasn’t built in a day.Keep going.The destination is not so far. :pI have written similar detailed answers on topics like Plant and Human physiology. You can go through them as well.Best of luck!(Image Sources: My Phone.)

List of unsolved problems in mathematicsAdditive number theoryBeal's conjectureGoldbach's conjecture (Proof claimed for weak version in 2013)The values of g(k) and G(k) in Waring's problemCollatz conjecture (3n + 1 conjecture)Lander, Parkin, and Selfridge conjectureDiophantine quintuplesGilbreath's conjectureErdős conjecture on arithmetic progressionsErdős–Turán conjecture on additive basesPollock octahedral numbers conjectureAlgebraHilbert's sixteenth problemHadamard conjectureExistence of perfect cuboidsAlgebraic geometryAndré–Oort conjectureBass conjectureDeligne conjectureFröberg conjectureFujita conjectureHartshorne conjecturesJacobian conjectureManin conjectureNakai conjectureResolution of singularities in characteristic pStandard conjectures on algebraic cyclesSection conjectureVirasoro conjectureWitten conjectureZariski multiplicity conjectureAlgebraic number theoryAre there infinitely many real quadratic number fields with unique factorization?Brumer–Stark conjectureCharacterize all algebraic number fields that have some power basis.AnalysisThe Jacobian conjectureSchanuel's conjectureLehmer's conjecturePompeiu problemAre(the Euler–Mascheroni constant), π + e, π − e, πe, π/e, π^e, π√2, π^π, e^(π^2), ln π, 2^e, e^e, Catalan's constant or Khinchin's constant rational,algebraic irrational, ortranscendental? What is the irrationality measure of each of these numbers?The Khabibullin’s conjecture on integral inequalitiesCombinatoricsNumber of magic squares (sequence A006052 in OEIS)Finding a formula for the probability that two elements chosen at random generate the symmetric groupFrankl's union-closed sets conjecture: for any family of sets closed under sums there exists an element (of the underlying space) belonging to half or more of the setsThe Lonely runner conjecture: ifrunners with pairwise distinct speeds run round a track of unit length, will every runner be "lonely" (that is, be at least a distancefrom each other runner) at some time?Singmaster's conjecture: is there a finite upper bound on the multiplicities of the entries greater than 1 in Pascal's triangle?The 1/3–2/3 conjecture: does every finite partially ordered set contain two elements x and y such that the probability that x appears before y in a randomlinear extension is between 1/3 and 2/3?Discrete geometrySolving the Happy Ending problem for arbitraryFinding matching upper and lower bounds for K-sets and halving linesThe Hadwiger conjecture on covering n-dimensional convex bodies with at most 2^n smaller copiesDynamical systemFurstenberg conjecture – Is every invariant and ergodic measure for theaction on the circle either Lebesgue or atomic?Margulis conjecture — Measure classification for diagonalizable actions in higher-rank groupsMLC conjecture - Is the Mandelbrot set locally connected ?Graph theoryBarnette's conjecture that every cubic bipartite three-connected planar graph has a Hamiltonian cycleThe Erdős–Gyárfás conjecture on cycles with power-of-two lengths in cubic graphsThe Erdős–Hajnal conjecture on finding large homogeneous sets in graphs with a forbidden induced subgraphThe Hadwiger conjecture relating coloring to clique minorsThe Erdős–Faber–Lovász conjecture on coloring unions of cliquesThe total coloring conjectureThe list coloring conjectureThe Ringel–Kotzig conjecture on graceful labeling of treesThe Hadwiger–Nelson problem on the chromatic number of unit distance graphsDeriving a closed-form expression for the percolation threshold values, especially(square site)Tutte's conjectures that every bridgeless graph has a nowhere-zero 5-flow and every bridgeless graph without the Petersen graph as a minor has a nowhere-zero 4-flowThe Reconstruction conjecture and New digraph reconstruction conjectureconcerning whether or not a graph is recognizable by the vertex deleted subgraphs.The cycle double cover conjecture that every bridgeless graph has a family of cycles that includes each edge twice.Does a Moore graph with girth 5 and degree 57 exist?Conway's thrackle conjectureGroup theoryIs every finitely presented periodic group finite?The inverse Galois problem: is every finite group the Galois group of a Galois extension of the rationals?For which positive integers m, n is the free Burnside group B(m,n) finite? In particular, is B(2, 5) finite?Is every group surjunctive?Model theoryVaught's conjectureThe Cherlin-Zilber conjecture: A simple group whose first-order theory isstable inis a simple algebraic group over an algebraically closed field.The Main Gap conjecture, e.g. for uncountable first order theories, for AECs, and for-saturated models of a countable theory.Determine the structure of Keisler's order.The stable field conjecture: every infinite field with a stable first-order theory is separably closed.Is the theory of the field of Laurent series overdecidable? of the field of polynomials over?(BMTO) Is the Borel monadic theory of the real order decidable? (MTWO) Is the monadic theory of well-ordering consistently decidable?The Stable Forking Conjecture for simple theories.For which number fields does Hilbert's tenth problem hold?Assume K is the class of models of a countable first order theory omitting countably many types. If K has a model of cardinalitydoes it have a model of cardinality continuum?Is there a logic satisfying the interpolation theorem which is compact?If the class of atomic models of a complete first order theory is categorical in the, is it categorical in every cardinal?Is every infinite, minimal field of characteristic zero algebraically closed? (minimal = no proper elementary substructure)Kueker's conjectureDoes there exist an o-minimal first order theory with a trans-exponential (rapid growth) function?Lachlan's decision problemDoes a finitely presented homogeneous structure for a finite relational language have finitely many reducts?Do the Henson graphs have the finite model property? (e.g. triangle-free graphs)The universality problem for C-free graphs: For which finite sets C of graphs does the class of C-free countable graphs have a universal member under strong embeddings?The universality spectrum problem: Is there a first-order theory whose universality spectrum is minimum?Number theory (general)abc conjecture (Proof claimed in 2012, currently under review.)Erdős–Straus conjectureDo any odd perfect numbers exist?Are there infinitely many perfect numbers?Do quasiperfect numbers exist?Do any odd weird numbers exist?Do any Lychrel numbers exist?Is 10 a solitary number?Do any Taxicab(5, 2, n) exist for n>1?Brocard's problem: existence of integers, n,m, such that n!+1=m^2 other thann=4,5,7Distribution and upper bound of mimic numbersLittlewood conjectureCongruent number problem (a corollary to Birch and Swinnerton-Dyer conjecture, per Tunnell's theorem)Lehmer's totient problem: if φ(n) divides n − 1, must n be prime?Are there infinitely many amicable numbers?Are there any pairs of relatively prime amicable numbers?Number theory (prime numbers)Catalan's Mersenne conjectureTwin prime conjectureThe Gaussian moat problem: is it possible to find an infinite sequence of distinct Gaussian prime numbers such that the difference between consecutive numbers in the sequence is bounded?Are there infinitely many prime quadruplets?Are there infinitely many Mersenne primes (Lenstra–Pomerance–Wagstaff conjecture); equivalently, infinitely many even perfect numbers?Are there infinitely many Sophie Germain primes?Are there infinitely many regular primes, and if so is their relative density?Are there infinitely many Cullen primes?Are there infinitely many palindromic primes in base 10?Are there infinitely many Fibonacci primes?Are all Mersenne numbers of prime index square-free?Are there infinitely many Wieferich primes?Are there for every a ≥ 2 infinitely many primes p such that a^(p − 1) ≡ 1 (modp^2)?Can a prime p satisfy 2^(p − 1) ≡ 1 (mod p^2) and 3^(p − 1) ≡ 1 (mod p^2) simultaneously?Are there infinitely many Wilson primes?Are there infinitely many Wolstenholme primes?Are there any Wall–Sun–Sun primes?Is every Fermat number 2^(2^n) + 1 composite for?Are all Fermat numbers square-free?Is 78,557 the lowest Sierpiński number?Is 509,203 the lowest Riesel number?Fortune's conjecture (that no Fortunate number is composite)Polignac's conjectureLandau's problemsDoes every prime number appear in the Euclid–Mullin sequence?Does the converse of Wolstenholme's theorem hold for all natural numbers?Elliott–Halberstam conjecturePartial differential equationsRegularity of solutions of Vlasov–Maxwell equationsRegularity of solutions of Euler equationsRamsey theoryThe values of the Ramsey numbers, particularlyThe values of the Van der Waerden numbersSet theoryThe problem of finding the ultimate core model, one that contains all large cardinals.If ℵω is a strong limit cardinal, then 2ℵω < ℵω1 (see Singular cardinals hypothesis). The best bound, ℵω4, was obtained by Shelah using his pcf theory.Woodin's Ω-hypothesis.Does the consistency of the existence of a strongly compact cardinal imply the consistent existence of a supercompact cardinal?(Woodin) Does the Generalized Continuum Hypothesis below a strongly compact cardinal imply the Generalized Continuum Hypothesis everywhere?Does there exist a Jonsson algebra on ℵω?Without assuming the axiom of choice, can a nontrivial elementary embedding V→V exist?Is it consistent that? (This problem was solved in a 2012 preprint by Malliaris and Shelah, who showed thatis a theorem of ZFC.)Does the Generalized Continuum Hypothesis entail for every singular cardinal?OtherInvariant subspace problemProblems in Latin squaresProblems in loop theory and quasigroup theoryDixmier conjectureBaum–Connes conjectureGeneralized star height problemAssorted sphere packing problems, e.g. the densest irregular hypersphere packingsClosed curve problem: Find (explicit) necessary and sufficient conditions that determine when, given two periodic functions with the same period, the integral curve is closed.Toeplitz' conjecture (open since 1911)

THIS IS NOT A LOT OF STUDY. Just a rather descriptive post. I did most of this in less than a week, but with long, intense study hours. Two or three weeks of relatively less manic preparation will easily finish all I've mentioned.This is not going to tell you what the GRE questions look like - all books do that, have a look before reading this. These are just a few things I observed and practised while studying for and taking the test.Schedule:I wouldn't recommend following the schedule I did. It was five days of very intense studying. Too much pressure and no fun at all.Three to four weeks would be ideal to prepare without panicking. Take a diagnostic test - found in almost all GRE books, to assess what you need to study. It's basic math and english, so studying things you already know is definitely a waste of time. Identify weaknesses and study those. Whatever you are good at can be revised later on.Quantitative Reasoning:So this is 7th grade Indian middle school math. No exaggeration, but one might have forgotten certain things. So a quick revision might help. Statistics, probability, geometry, arithmetic and algebra are covered. No trigonometry or calculus - but extremely basic trigonometry sometimes helps with the triangle questions, even though it's not prescribed to study.The best way to do this would be to do several practice sections and then revise whatever you don't know.Data interpretation questions are sometimes confusing and require practice, if only to see what they look like. There are several types of graphs that can be given and interpreting them may require different methods. These questions sometimes take longer than others, so I always left these to solve last.Quantitative comparison questions often have corner cases that you may not consider if you haven't practised them enough. There are two quantities given and they are to be compared. So do plenty of these questions in order to understand what sort of values can be used to test the quantities. Generally important are using values like 1, -1, 0, negative and positive fractions apart from other real numbers/integers.This is true of the GRE in general, but more so in quant. Do not assume anything! Figures are NOT drawn to scale. Something that looks like a right angle is NOT a right angle unless it is marked or specified.The rest of quant is basic math, make sure every topic is refreshed. It shouldn't take too long, if you were good at high school math. If a lot has been forgotten, practice! Quant is definitely the easier GRE section for a large percentage of test takers.What most people realise is that the quant sections are extremely easy, but it's also very easy to make (incredibly) silly errors. Quant sections are 35 minutes, 20 questions. Most questions do not take over a minute to solve. I tried to solve all questions within 20 minutes and use the remainder to solve ALL the questions again. I changed a couple of wrong answers in my actual GRE on doing this, so it's rather important to CHECK each answer at least once. Do not check passively. Check a problem by solving as if it's the first time you're seeing it - in practice tests as well.Verbal Reasoning:Verbal reasoning questions are text completion, sentence equivalence or reading comprehension.I won't describe what these questions look like, but what I studied and practised.Reading comprehension (RC) - none of my practice tests (Barrons, ETS) had RCs as difficult as the ones I saw on the GRE. The multiple choice questions have confusing, convoluted answer options - and often, two answers seem equally likely. In my opinion, the only way to overcome this is by doing a few *difficult* RCs and looking at answer explanations, understanding why one option is more likely to be correct. I did not do ANY practice comprehensions that were as difficult as the actual test, but ETS Powerprep comes quite close.Another thing with RCs is that some of them are long - over 6 paragraphs. It is important to know how to handle such passages without losing track of the content while reading - so practice doing these questions.NEVER assume anything in RCs. Everything you need is in the paragraph. They are not asking for your opinion or assumptions. If something is asserted in an answer choice, but it is not implied from the paragraph - it is wrong, no matter how logical/correct/appropriate it may seem to you. The world is ONLY the respective reading matter and not the world around you. It has to be implied or mentioned by the passage.Coming to text completion and sentence equivalence, blanks need to be filled in with appropriate words. This is one of the most challenging parts of the GRE because the answer options are words that might not be present in an average vocabulary.Improving ones vocabulary is best done by reading plenty. But GRE prep time may not be sufficient for reading a lot, so other sources can be used.Apart from actually *knowing* a word, context and elimination of other options is VERY useful. In sentence equivalence, you have to select two equivalent options. If an option is not similar/equivalent in meaning to any other option (IN THE CONTEXT), eliminate it. Read the sentence/text to be completed and understand the context before selecting options.In the GRE I wrote, all words except ONE were found in the following sources:1. My pre-GRE vocabulary2. Word Power Made Easy by Norman Lewis3. Barron's 1100 Words You Need To Know4. Magoosh Basic Wordlists and Common Wordlists5. Barron's 333 high frequency wordsWhen I took the diagnostic test, I identified vocabulary as my weakness and concentrated most efforts on that section (so my initial vocabulary wasn't spectacular).I covered the other sources in their entirety. It does not take very long if you can do 300 words a day, but that is rather painful. If you have over two weeks, do 20-50 words a day and keep revising. WRITE DOWN words you don't know with their meanings. It is so much easier to revise from your own handwriting than from print. I can't stress that enough. Revise all previously done words every day.Rote learning of words will NOT HELP. The ETS is testing your English skill and NOT your learning-of-definitions skill. So it's very important to learn words in context. Barron's 1100 does exactly this and I highly recommend it for everyone. Words are given in a (funny) story and I often remembered several words because of the stories I learnt them in.Word Power Made Easy is also brilliant. It takes a bit long to read, but keep at it. It teaches word roots so deciphering unknown words becomes easy. Apart from roots, several common GRE words are taught as well - in a format that is structured. Again, no word-definition pairs. It's interesting with plenty of humourous examples.Magoosh's flashcards are GREAT on the go! Android and iOS have an app. WinPhone users (like me!) can use any third party app that extracts flashcards from Quizlet.They *are* word-definition pairs and are not sufficient to learn context properly. But I used them simply because I always had my phone around. Any free fifteen minutes was spent revising a few words. Basic and common Magoosh lists are a must-do. I did not touch the advanced words at all.Flashcards at: chloemoreno | QuizletAlso on the Magoosh website.Barron's 333 high frequency words are a quick revision of supposedly common GRE words.The vocabulary isn't extremely challenging. These are words used in everyday high-level conversation. I did not see more than two or three advanced words on the actual test. Again, all words except one were from the sources studied. Know the basic words before you move to advanced in any wordlist!Alphabetical wordlists are confusing and rather painful, in my opinion. But if you can bear with them, go for it.I wish I had had time to make synonym trees. Try doing so -How to Tidy up the Vocab Clutter-Synonym Trees (Part 1).Barron's 800 essential words is useful too, I have heard. I did not have time to go through it.For verbal as a whole, do timed practice sections. See where time is being wasted and try to cut down. With confusing answer choices, several minutes are lost in debating with yourself - try not to do that. Mark the question (the software allows marking) and come back to it later.30 minutes, 20 questions - one minute per question would be great. I always did text/sentence questions first (as they were quick) following which I did RCs in increasing length of reading matter, simply because I didn't want to spend initial time reading long passages. Figure out a pattern in your practice sections that works well for you and follow it.AWA:AWA is supposedly not very important for engineering programs (I don't know how far this is true). However, ONE practice essay of each type (Issue, Argumentative) is a must. ALL possible topics are already on the internet, published by ETS themselves - check the official website. Unfortunately, there are around 200 for each essay type, so practising all of them is near impossible. Writing in 30 minutes is not easy, so practice at least once.Issue essay - read sample essays (from ETS and the internet) and figure out what pattern of paragraphs you want to use.The essay is essentially asking you to analyse an issue, take a stand and support with examples. The stand does NOT have to be either for or against the issue. It could be inclined towards one side or even ambivalent, if you can substantiate it.I used introduction, brief body about my opinion and example 1, example 2, example 3, contradiction and justification, conclusion - 6 paragraphs.Contradiction is a paragraph where you approach the opposite stand and justify your stand with that view - like arguing with a completely opposite opinion.Argument essay - read samples (from ETS and the internet).Also, definitely look up the kinds of logical fallacies common to GRE argument essay topics. There aren't many (maybe five or six) and are easily identifiable. If you can detect three or four logical fallacies, you're set to write the essay.Pattern I used - introduction, fallacy 1, 2, 3, recommendations, conclusion - 6 paragraphs.GRE ESSAY GUIDETop 5 Strategies for the GRE Argument EssayBarron's Test Prep Blog - Online Education and Test PrepLong essays are preferred for both topics - look at ETS samples. 5-6 paragraphs is sufficient.<begin Anjishnu Kumar>The first thing about the essays - They are NOT testing how great of a creative writer you are. Do NOT try to use them to express your originality.They are testing articulation, perfect grammar and logical structure - so use simple language as far as possible and easy to understand sentences.Have a relatively rigid sentence structure for your essay - you then can devote more time to coming up with points to write and less time thinking about how to start the essay and conclude.Spend the first few minutes thinking about what you are going to write before you start typing- finish with time to spare and spend a few minutes proofreading what you write. Practice writing with a 20 minute time limit, it's OK if you overshoot a bit.BTW, they aren't important for MS programs, but PhD programs look at AWA scores very seriously.<end Anjishnu Kumar>Other:Powerprep II, the ETS Software - available freely on their website athttps://www.ets.org/gre/revised_general/prepare/powerprep2.MUST DO. The software is exactly what the computer GRE test uses. The standard of questions is very similar as well.Make sure all questions in the ETS textbook are done as well - easy, medium and hard. Standard is like the GRE. Sample essays from this book are a must-read.TIMED PRACTICE SECTIONS are very important. The GRE is equally about speed and accuracy.I also took a few Barron's practice sections just for more exposure to different questions.I have heard Manhattan's practice tests are of high difficulty. They can be used if you are comfortable with everything else. I did not use them, though.Read Quora answers/blogs/Facebook help pages for recommendations on other practice resources. I only did timed section practices as I did not have much time. But for familiarity with questions, several huge question banks (Manhattan 5 lb, for example) are available.