Sample Question Paper 1 Part 1 Multiple Choice Questions 1: Fill & Download for Free

[Edited Apr 30, 2018: Detailed analysis of differences between JEE-Advanced and Gaokao physics problems added.]Short answer: IIT - JEE.Evidence for the short answer. Look at the score distribution of both exams. For IIT-JEE, you need about 50% of the full marks in order to get AIR of top 5000. Taking into consideration that JEE gives negative marks for wrong answers, this means you need to solve about 60% of the problems. In comparison, a student admitted to the top 2 universities in China normally get about 75% or more from the math/science parts of Gaokao. Note that the top 2 universities of China recruit about 4000–5000 science/engineering majors each year. Hence, we have a reason to assume this group of Chinese students have roughly the same capabilities in math/science as top-5000 Indian students. Given that the time pressure of IIT-JEE (108 multiple-choice/fill-in-blank questions for 6 hours) is similar to that of Gaokao (the math/science parts: 60–70 multiple-choice/fill-in-blank questions plus 10–15 proof/essay questions for 5.5 hours), we have to conclude that IIT-JEE is tougher than Gaokao, *on average*.A closer look at the problems from the two exams. Take physics problems for example. Compare JEE-Advanced with Gaokao and you can easily observe two differences:Gaokao has some very simple problems, while JEE-advanced does not. Below is one of such problems from a recent Gaokao.[Gaokao 2017, Nationwide Paper 1, Science, Problem 14] A model rocket of mass 1kg is launched and 50g of gas is ejected at the speed of 600m/s during a very small amount of time. After this ejection of gas, the rocket’s momentum is (the weight and air resistance ignored) (A) 30 kg m/s (B) 570 kg m/s (C) 600 kg m/s (D) 630 kg m/s.Some materials are covered by JEE-Advanced physics syllabus but not by Gaokao physics syllabus. Examples include: Young’s modulus, uniformly accelerated frame of reference, angular momentum, Bernoulli’s theorem, Kirchhoff’s law, …If these two factors were removed, JEE-Advanced physics would be very close to Gaokao physics.Why IIT-JEE should be tougher than Gaokao. The reason is that IIT-JEE is for admissions to elite colleges like IIT only, but Gaokao is used for admissions to all colleges throughout China, from the very best ones to the very worst ones. If Gaokao were as tough as IIT-JEE, the elite colleges in China would definitely be happier, but the vast majority of (lower ranked) colleges would be truly upset. Given that the current overall college admission rate is 70%+, you really need to include in Gaokao some problems that can be solved by students from the lower half.What elite colleges do when they realize Gaokao is not enough tough. The elite colleges in China have realized the toughness of Gaokao is insufficient for their admissions. Therefore, they have arranged a number of harder tests: (a) the math/sciences olympiads are used for admission purposes. If a student excels in olympiads, he/she will be given additional marks for Gaokao, or (in the extreme case) even a waiver of Gaokao. (b) Each top college has its own special test, which is normally tougher than Gaokao but less tough than olympiads. Students who excel in these tests are given additional marks for admission purposes. Below are two sample physics problems from Peking University’s special tests. The first one is for general majors, and thus harder than Gaokao but less hard than physics Olympiad. The second one is physics majors, and thus as hard as physics Olympiad.[Peking University 2016, General Majors Camp, Physics Problem 12] Two street lights of height H have a distance L from each other. A person of height h starts from one of them, moving towards the other. Let S be the length of the person’s shadow between the two street lights. There is a maximal value of S when 0<t<L/v and h<H. Find the corresponding values of h and t, respectively.[Peking University 2014, Physics Camp, Problem 5] A triangle is placed on a flat floor as illustrated. Two blocks, masses of which are not necessarily identical to each other, are released from the top of the triangle, one on each side. They slide down and finally stop at P and Q, respectively. Assume the coefficient of friction is a constant [math]\mu[/math] everywhere. Also assume when blocks reach the feet of the triangle, they do not bounce up and no mechanical energy is lost. (1) Find the relationship between the four lengths, [math]l_1, l'_1, l_2, l'_2.[/math](2) Find the ratio of the time used by the two blocks. Your result should not contain the four lengths above. (3) Calculate the above ratio when [math]\mu=\frac{1}{2\sqrt{3}}, \phi_1=30^\circ, \phi_2=60^\circ .[/math]When Gaokao is harder than IIT-JEE. As I mentioned above, Gaokao is less tough than IIT-JEE only *on average*. Individual Gaokao problems can be extremely hard, sometimes as hard as an olympiad problem, and thus harder than IIT-JEE problems. I will give you an example below. (This problem is from Jiangxi Province’s Gaokao 2008, but it can be viewed as a [more difficult] variant of a problem appeared in West China Math Olympiad 2004. So please don’t say it is not an Olympiad problem. If you find it easy, either you are very strong at math, or you have made a mistake.)[math]\text{Define a function} \\ f(x) = \dfrac{1}{\sqrt{1+x}} + \dfrac{1}{\sqrt{1+a}} + \sqrt{\dfrac{ax}{ax+8}} \\ \text{Prove that for all positive real number } a, 1 \lt f(x) \lt 2[/math]

Test Length and SectionsGRE60-minute Analytical Writing section that requires you to write two essays, each with a time limit of 30 minutesTwo Verbal Reasoning sections, each 30 minutes longTwo 35-minute Quantitative sectionsOne 30- or 35-minute (Verbal or Quant, respectively) experimental section, which will not count toward your scoreTotal test time: 3.75 hours or 3.5 hours if you take the paper-based GREGMATOne 30-minute essayOne 30-minute Integrated Reasoning sectionOne 75-minute Quantitative sectionOne 75-minute Verbal sectionTotal test time: 3.5 hoursQuant SectionOne big difference in the two Quantitative sections is the GMAT's Data Sufficiency (DS) questions versus the GRE's Quantitative Comparison (QC) questions. GMAT Data Sufficiency questions ask you to determine whether you have sufficient information to answer a question. GRE Quantitative Comparison questions ask you to determine which of two quantities is larger. Give the following two example questions a try, to see the difference between the two question formats:Another big difference is that, while both the GMAT and the GRE present you with the standard five-answer multiple choice questions in which you select one correct answer, the GRE also presents multiple choice questions that ask you to choose a number of correct answers. Consider the following example questions:In addition, the GRE also presents you with a question type in which you must manually enter the answer. Consider the following example:GRE Fill in the Box Example You will have access to a simple calculator on the GRE Quant section, whereas on the GMAT you do not. However, many of the problems on the GRE are designed so that the calculator is of little benefit.A final major difference is that the GRE Quant section includes two data interpretation scenarios (charts, graphs, tables) with several questions about each. The majority of data interpretation on the GMAT is included in the Integrated Reasoning section. Here is a sample of what GRE data interpretation questions look like:Verbal SectionThe main similarity between the GMAT and GRE Verbal sections is Reading Comprehension. On both tests, you'll be presented with passages of varying lengths and asked a series of questions about each passage. While GMAT Reading Comprehension questions are single-answer multiple choice, GRE question types vary. In addition to single-answer multiple choice, you will encounter multiple-answer multiple choice and questions that ask you to highlight a sentence from the passage.In addition to Reading Comprehension questions, the GMAT will present you with Sentence Correction questions and Critical Reasoning questions. Sentence Correction questions test your knowledge of standard American English grammar and usage. Critical Reasoning questions test your ability to use logic to evaluate an argument.On the GRE, in addition to Reading Comprehension questions, you'll also see two other verbal question types. On Sentence Equivalence questions, you'll be presented with a single sentence that has one word missing. Your job is to choose exactly two answer choices that logically complete the sentence and at the same time produce two sentences with equivalent meanings. Text Completion questions present you with either a sentence or a short passage with up to three words missing. For each missing word, you must choose the word that best fits the meaning of the sentence.In general, the GRE places a much greater emphasis on vocabulary than does the GMAT. If you plan to take the GRE, mastering a large number of vocabulary words is a must.Both Tests Are Computer Adaptive, But in Different WaysThe GMAT is a pure computer adaptive test (CAT), meaning that you must answer the current question before you can view the next question, and you can never go back to an earlier question. In addition, on the GMAT, as you answer questions correctly, the succeeding questions presented to you become more difficult (and worth more points); similarly, if you answer questions incorrectly, the succeeding questions presented to you become easier (and worth fewer points).The GRE, on the other hand, is a modified CAT. There are four sections in the main part of the test, two Verbal and two Quantitative. Within a section, you can skip questions and go back to earlier questions. However, after the time is up for that section and you progress to the next section, you will not be able to go back to an earlier section. Also, on the GRE, the test adapts at the section level. For example, if you perform really well on your first Quantitative section, your score will increase, and the next Quantitative section presented to you will be more difficult. Conversely, if you don’t perform so well on the first Quantitative section, your score will decrease, and the next Quantitative section presented to you will be easier.You Get a Calculator on GRE Quant and on GMAT IROn the Quant section of the GMAT, there is no calculator provided. On the GRE, a very basic on-screen calculator is provided while you work on the Quantitative sections. You must learn the time and place to use the calculator. Remember, the calculator won't do the thinking for you, so don't overly rely on its use.On the Integrated Reasoning section of the GMAT, a calculator is provided. As with the Quantitative section of the GRE, don't overly rely on this tool.GMAT Integrated ReasoningThe GMAT requires only one essay. Instead of a second essay, you will complete the Integrated Reasoning (IR) section of the exam. Integrated Reasoning requires you to perform analysis and interpretation of charts, graphs, tables, and text. The IR score is reported separately from the 200 to 800 composite score obtained on the Verbal and Quantitative parts of the exam. People claim that your scores on Integrated Reasoning don't matter. Some admissions officers and future employers beg to differ, so it's prudent to treat this section as you would any other and do your best work.ScoringGMAT (five unique scores)Quantitative score from 0 to 60 in one-point increments. Scores below 7 and above 50 are not common.Verbal score from 0 to 60 in one-point increments. Scores below 9 and above 44 are not common.GMAT Composite score (total score) of 200 to 800 in 10-point increments, with 200 being the lowest possible score and 800 the highest. Two-thirds of test takers score between 400 and 600.Integrated Reasoning score from 1 to 8 in one-point increments.Analytical Writing score from 0 to 6 in half-point increments.GRE (three unique scores)Verbal Reasoning score of 130 to 170 in one-point increments. Two-thirds of test-takers score between 142 and 159.Quantitative Reasoning score of 130 to 170 in one-point increments. Two-thirds of test-takers score between 143 and 162.Analytical Writing score of 0 to 6 in half-point increments. About 20% of the test-takers score at or above 4.5.DifficultyMany hold the opinion that the GRE is an easier test than the GMAT. However, I would not recommend going into your GRE study with the idea that the GRE will be easier than the GMAT. Instead, realize that both tests are competitive and challenging in their own ways. Preparing for either test will require considerable time and energy.

I wrote this exam in 2015.Also, I didn't clear it.This Exam has 2 papers.There are 2 streams1. Engineering2. Statistics streamYou have to choose one.I am from engineering stream and I will answer in that perspective.Paper I - Multiple Choice Questions(common for both streams)We had totally 30 questions from Mathematics, mostly on +2 level. Some on eigenvalues and matrix which you learn in college.Paper II - separate for different streams.These were divided into many sections. Every question is for 20 marks and you have to answer 6 questions. All questions have sub parts.Section I - Maths (compulsory)You have to answer 2 out of 3 questions. Again on +2 level mostly.Now, you have got to answer 4 questions out of remaining 8.Section II - Engineering MechanicsWhatever you read in your Engineering mechanics class + gears, belts and flywheel.Section III - Electrical engineeringI am not an electrical engineer. There were questions on Transformers, motors etc.,Section IV - ThermodynamicsTake PK Nag and rigorously go through it. You would be safe.Section V - Engineering DrawingMostly you got to draw front view and side view from an isometric drawing, or other way around.The main problem would be time constraint. Since you get only 2 hours to answer 6 questions, it is very difficult to answer all unless you are well versed in those sections. Every question will have sub-parts, which reduces your time to answer each question within 5-8 min.You can refer below link for sample papers.M.TECH(QROR)Edit : You can refer ISI website for latest cutoff for first section.