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AI-Powered Mock Test Application Launched by NTA for IIT-JEE 2020

E-learning using an internet-based learning platform is growing day by day, with new means being developed in order to combat the Coronavirus (COVID-19) outbreak by learning from home. With that in consideration, the HRD Ministry has launched an AI-powered mock test mobile application for students aspiring for JEE Main 2020 as well as NEET 2020, conducted by the National Testing Agency (NTA).

The mobile application has been named ‘National Test Abhyas’ and is currently available on Android Play Store only. The Education Minister, Ramesh Pokhriyal ‘Nishank’, said, “The launch of this application is to ensure that no student is left behind in getting exposure to practising mock tests, especially when students’ loss due to closure of educational institutions is to be compensated and NTA’s Test-Practice Centers are also shut due to the COVID-19 lockdown.” NTA Test Practice Centers were set-up by NTA to enable students to practice mock tests in an exam-like environment.

AI-Powered Mock Test Application 1

AI-Powered Mock Test Application 2

Mr Pokhriyal said that students all over the country can use this application to practice mock tests of JEE Main as well as NEET. Currently, JEE Main is conducted only using Computer-Based Mode while NEET is conducted using pen and paper mode.

As of now, there is only one mock test for each of the examinations. NTA has planned to upload one new mock test on the application every day for both JEE and NEET. Students can then download and attempt the mocks offline as well. Once the test is completed, students can go online to submit the mock test and review their test report. Students can easily sign up using their email address or phone number in order to start attempting mock tests. The application size is 19 MB as per the Play Store.

“The NTA has also set up live support from 10 AM to midnight for the first seven days of the release of the application to help with any issues experienced by the students who are attempting the mock tests”, HRD minister said.

The issue with areas under low internet speed is not being able to take mock tests due to uneven internet. This problem is solved with the ability to download the full test offline. “It’s evident that the app’s major benefit is that the test works perfectly even without the internet if it has been downloaded in the device. This will prove advantageous for students in areas of low internet bandwidth and remove obstacles in the way of online or computer-based test preparation”, Mr Ramesh Pokhriyal added. According to the screenshots available, the mock test application requires you to turn on airplane mode on the mobile device to start the mock test. This helps the students to take the mock test without any distractions or notifications on their mobile phone.

AI-Powered Mock Test Application 3
AI-Powered Mock Test Application 4

According to the official report, currently the app is available on Android smartphones and tablets and it can be downloaded from Google Play Store (link provided below). The app will be soon available on iOS using the Apple App Store.

As the name and icon of the application suggests, it has been developed by the National Testing Agency. The similarity of the actual examination and the mock tests provided here is very accurate. Currently, the app has a rating of 4.7 on Google Play Store.

Google Play Store Link for ‘National Test Abhyas’ – Click here

“Turn Lockdown Period Into An Opportunity”, says Anand Kumar of Super 30 to JEE Aspirants

The new dates for JEE Main and JEE Advanced 2020 have been finally announced. Taking a precautionary measure, HRD Minister has set the dates from 18th July to 23rd July 2020, which will help curb the spread of the COVID-19 disease all over the country and also possibly ensure the safety of students if the active cases are brought down. Students now have approximately 2 months more to prepare for the examination which is sought as the screening test for top engineering colleges of India.

Anand Kumar, the founder of Super 30, has suggested that aspirants must prepare for the examination by self-study. Maximum mock tests must be attempted by students during this extra time period. He also suggested students must study every chapter deeply and conceptualise major topics on their own.

Do not mug up!

Anand stated that a lot of students try to mug up the concepts as well as the formula without understanding the reasons or practical approach behind it. He said that this extra time must be utilised by students to learn and understand how the concepts were created. He further said, “A student can crack the JEE Main or other entrance examination by memorising the formula without actually understanding the concept. Nevertheless, the logic behind the formula is important to understand else you might forget what you learnt. Therefore, this quarantine period must be used wisely by pointing the attention towards actual concepts behind a formula or an equation, rather than just memorizing everything.”

Kumar talked about the issues with engineering aspirants. He said that the students face difficulty while creating a balance between board exams and entrance tests. He said, “Students must create a timetable during this lockdown. They must adhere to the same and accordingly allot time for revising chapters and attempting the mock tests as a full mock test takes 3 hours.” Moreover, analysis of a mock test also takes time and students must consider this while studying thoroughly.

Kumar said that this time is useful to figure out new tricks to solve a single problem in multiple ways. Aspirants should enjoy solving questions and create similar questions from the one they have solved. This might help in discovering short tricks to solve similar types of questions.

Use your books wisely

He recommended that if a student is trying to understand the logic, he/she must start with the most basic concept book. “According to famous mathematician David Hilbert, simpler books attract the most. So, restart your self-study following basic concept books at first. Try to learn the reason behind each concept, for example, why the area of the triangle is ‘half base times height’,” he described.

Anand Kumar uses social media to engage aspirants. He regularly posts questions which might be interesting to solve. He said, “ Students must keep reading until they understand the concept. If they still find it difficult then help from some other refresher book can be taken. After finally understanding the logic, make short notes and keep revising them. Mark one star against a topic or question which you can answer at the very first attempt. Consider this as an easy concept. Those which you find more difficult, mark two stars, while a three-star for the toughest problem or concept. During the second revision, focus on concepts that have been marked two and three stars by you and in the subsequent revision, just focus on three-star chapters. Create short notes that you can read every day.”

JEE Main is being conducted twice since 2019 in two sessions – January and April. While the January 2020 session was conducted without any hassles, April session has been postponed till July 2020 due to the outbreak of COVID-19 disease and the subsequent lockdown imposed to curb the spread.

JEE Main Preparation Tips for Mathematics: Important Topics and Strategies

Mathematics is probably the lifesaver for a large number of aspirants of JEE Main. Preparation for JEE Main Mathematics is comparatively easier than the other two sections and due to a foundation based on Sets, Relations and Functions, the learning does not require to start everything from scratch. The first step that comes under the JEE Main Preparation Tips for Mathematics is to be updated with the syllabus of JEE Main Mathematics 2020. Being well informed with the syllabus will definitely help you work upon the most important topics.

Mathematics is yet considered to be hard because of the fear created out of it. In order to overcome your fear, you are advised to start preparing Mathematics pretty well in advance. Candidates are advised to practice a sufficient number of IIT JEE previous year question papers. When you will start regularly solving previous years papers, you will be able to know the type of questions, the patterns that might be present in the upcoming examination and will also be able to figure out your weaknesses and strengths. Let us start with some very basic JEE Main Preparation Tips for Mathematics.

JEE Main Preparation Tips for Mathematics: Basic Rules to Follow

  • Revision is Important – Organise your study time and revision time. Revision ensures you are on track with the topics that are not under purview but must be worked on. Take regular breaks and practice previous years’ JEE Main question papers. Revise the topics every alternate day or at least twice a week.
  • Topic-wise Mocks– Attempting mock tests and practice papers can actually tell what level of preparation is needed. Solving the question papers enables the candidates to know difficulty levels and their own preparation against it so they can work on their weak areas. With online mocks, a deep analysis is easily available online, to understand accuracy, strong topics, time-consuming topics and weak topics.
  • Speedy Calculations – With better practice, students will build speed in core topics. This speed must be maintained during the examination as well. Since there is no sectional timing, ensure that you solve enough questions from each section within 1 and a half hour (90 minutes) such that the score reaches the expected cutoff.
  • Accurate Answers – If you follow the speed rule in the first 90 minutes, follow the accuracy rule in the next 90 minutes. Instead of solving maximum questions, try solving what you can, but with accurate answers. This will help build your score and probably help in overall rank considered for IITs.

JEE Main Preparation Tips for Mathematics: Key Pointers

  • The trend of questions from previous year question papers can be analysed. Questions come from almost every chapter in the exam.
  • Apply for the official JEE Main Mock Test. It will help you overcome the nervousness of exam halls.
  • You cannot learn a formula by reading but only through practice. The more you practice, the better you perform.
  • Solve online mock tests on a table and chair. It gives an exam hall viewpoint and helps with time management.
  • The graphical approach helps a lot in solving Mathematics questions. If you can learn how to create a graph, many questions of calculus and trigonometry could be solved in a blink.
  • Hit and trial method works in some questions where reverse calculations might be time-consuming. Use it with care.
  • While solving questions, make sure the most common errors of addition, subtraction, multiplication or division do not occur. Marks in JEE Main are only for the right answer, none for steps.
  • Strengthen your grip on function theory because it is the foundation for almost each and every topic of class 11th and 12th.
  • If solving questions on a rough sheet, use as many sheets as required. Do not scribble over and over on the same sheet. One may never know when the answer might get mixed up with another question.
  • As soon as the timer starts on the computer, spend around 5 to 10 minutes searching for easy questions from all the 25 questions. 40% to 50% of JEE Main Mathematics questions are easy and scorable. Around 20% to 30% are moderate and almost 10% to 20% difficult.
  • Instead of getting entangled in tough questions, you must try to solve easy questions while giving two to three minutes towards each question. Approximately, 20 questions can be solved in 60 minutes if each question takes a maximum duration of 3 minutes. Every single mark counts. Don’t waste time.
  • Focus on the topics you have a good grip over. Pay attention to them. Memorise formulas and concepts of all the major topics.

JEE Main Preparation Tips for Mathematics

JEE Main Preparation Tips for Mathematics: Crucial Topics

  1. Calculus: Calculus is one of the largest topics of mathematics. It is divided into two major studies – Differential and Integral calculus. Key topics to study in differential calculus are – limits and continuity, application of derivatives, differentiation. Key topics from integral calculus are – Indefinite integral, definite integral, the area under curves.
  2. Coordinate Geometry: Comparatively easy and scorable, coordinate geometry is the study of shapes and curves on a graph. Major topics to be covered under coordinate geometry are – straight lines, hyperbola, parabola, ellipse, circle.
  3. Trigonometry: Trigonometry has been considered one of the most important topics since class 10th. Students must have a command over the basics of trigonometry. JEE Main and other exams have questions from trigonometric ratios and trigonometric functions. These are scorable and are moderately tough.
  4. Algebra: This is the vastest topic of Mathematics. Questions from algebra could vary from easy to very hard. It depends on your ability to decipher how long a question can take. Major topics to be covered under algebra are – sets, relations and functions, matrices and determinants, permutations and combinations, complex numbers, probability, differential equations, quadratic equations and expressions, progressions and series, binomial theorem.

How to prepare JEE Main Mathematics by studying at home?

It is a proven fact that when you are at your home, books are the best source of knowledge to study properly. But it is also very important to note that due to the changed exam mode into the computer-based environment, JEE Main is not exactly a pen and paper-based examination. Students also require to learn various tricks over how to increase productivity while attempting the full examination of 3 hours. Given below are some JEE Main Preparation Tips for Mathematics to Study from Home.

Question Papers of JEE Main Mathematics (by Allen Kota)

To begin with the preparation, it is often suggested that Computers and Smartphones are typically contributing to distractions. To end this struggle for students, download these question paper PDFs of JEE Main 2019 Mathematics section prepared by Allen Kota. If possible, it is also suggested to print these papers and solve them offline in a traditional pen and paper mode. Do remember to first use “Papers & Answers” as this pushes you to attempt the questions on your own, rather than copying the whole solution.

Date Shift Paper & Answer Paper & Solutions
January 9 Shift 1 Click Here Click Here
Shift 2 Click Here Click Here
January 10 Shift 1 Click Here Click Here
Shift 2 Click Here Click Here
January 11 Shift 1 Click Here Click Here
Shift 2 Click Here Click Here
January 12 Shift 1 Click Here Click Here
Shift 2 Click Here Click Here

Free Online Mock Tests Provided by NTA

The online mock tests provided by NTA (National Testing Agency) are a simulation of the actual exam which will help students understand how to attempt the examination in a computer-based environment. The only disadvantage here is that these are full mock tests and not subject-wise mock tests. Although, students can utilise this portal if they have completed the syllabus for JEE Main Mathematics and now are under revision mode.

  • To access the mock tests head over to this website – https://nta.ac.in/quiz.
  • After this, just select the examination and paper from 2020, 2019, 2018 and 2017 sessions.
  • Once selected, start your mock test.

NTA Content-Based Lectures (by IIT-PAL)

National Testing Agency has provided video lectures recorded by a few reputed IIT Professors under the nemesis of IIT-PAL on Youtube. These lectures are divided into sub-topics for each chapter to focus only on main topics. There are more than 200 videos of approximately 50 to 60-minute runtime for each video. To access these videos-

  • Head over to the official website of NTA – www.nta.ac.in
  • Click on the ‘Students’ tab.
  • Under the ‘Test Practice’ section, select ‘Content Based Lectures’.

IIT-PAL Video Lectures

E-Learning Platforms

There are various e-learning platforms which are the best source for preparation of almost each and every competitive examination. In the past few years, the use of smartphones and online courses have increased multiple folds due to decreased cost of the internet in India. A lot of Ed-Tech companies started growing and now provide video lectures, mock tests, study material and a lot more stuff which helps students improve their preparation levels. Given below are some E-learning portals which can help students boost their JEE Main Mathematics Preparation.

  1. Unacademy – This is the largest learning platform in India with a continuously growing user base. Students can watch completely free lectures on various subjects and topics directly streamed by the toppers of various examinations. Students can also interact with the educators or teachers through the comment section given below the video.
  2. EduRev – This application is a learning application which provides subject-wise notes and video lectures. It also houses a large number of Mock Tests and topic-wise tests for students to work on their weak topics. Students will also find a large database of questions from previous years provided within the application.
  3. Khan Academy – This application provides video lectures according to the curriculum of CBSE and for IIT JEE too. Video lectures of Khan Academy are very well explained to understand the topics of JEE Main Mathematics thoroughly. With each video lecture, students are also asked questions on the topic for which they earn points and badges as rewards.
  4. Vedantu – This application houses all the major resources required for a student. From Solutions of questions from books of major writers to All India Mock Tests and live video lectures, students will find all the necessary resources, completely free! The speciality of this application is their in-house WAVE technology which lets students (or users) interact with a question put-up on the screen by the educator.

Chapter-wise Weightage in JEE Main Mathematics

Given below is the chapter-wise weightage of JEE Main Mathematics which will help you understand what topics should be given more time. It is nonetheless a universal fact that about 30-40% of the syllabus is part of the Calculus which is divided into Limits and Derivatives, Differentiation, Integration, Applications of Calculus, Differential Equations and much more. Students who can complete Calculus build huge confidence to cover other chapters as well.

Topic Number of Questions
Sets, Relations and Functions 1
Complex Numbers and Quadratic Equations 2
Matrices and Determinants 2
Permutations and Combinations 1
Mathematical Induction 1
Binomial Theorem and its applications 1
Sequences and Series 2
Limit, Continuity and Differentiability 1
Differential Calculus 4
Integral Calculus 5
Differential Equations 1
Coordinate Geometry 2
Three Dimensional Geometry 3
Vector Algebra 1
Statistics and Probability 2
Trigonometry 2
Mathematical Reasoning 1

Recommended Books for Preparing JEE Main Mathematics

Mathematics section requires comprehensive preparation. The following table represents some of the best books for JEE Main along with their author’s name that students can prefer for their Mathematical exam preparation:

Book Author
IIT Mathematics M.L. Khanna
Differential Calculus Das Gupta
Class XI and XII Mathematics R.D. Sharma
Trigonometry, Geometry Books S.L. Loney
Integral Calculus for IIT-JEE Amit Agarwal
Calculus and Analytic Geometry Thomas and Finney
Problems in Calculus of One Variable I. A. Maron
Higher Algebra Hall and Knight

Basic Sample Questions on Various Topics

Ques. The locus of the point of intersection of the lines xcost+(1-cost)y=asint and xsint-(1+cost)y+asint=0 is

1) x2-y2=a2 3) y2 = ax

2)x2+y2=a2 4) x2 = ay

Ans. Rearranging the above equations, we get

1-cost/sint=a-x/y and 1+cost/sint=a+x/y

multiplying the above equations ,we get x2+y2=a2

Ques. Lines ax+by+c=0, where 3a+2b+4c=0 & a,b,c all belong to the set of real numbers that are concurrent at the point?

1) (3,2) 3) (3,4)

2) (2,4) 4) (3/4, 1/2)

Ans. We know that,

3a+2b+4c =0

which equals (3/4)a+(1/2)b+c=0

So, the line passes through (3/4,1/2)

Ques. If the area of the triangle formed by the equation 8×2-6xy+y2=0 and the line 2x+3y=a is 7 then the value of a is?

1) 14 3) 7

2) 28 4) 17

Ans. Equation of the sides of the given triangle are y=2x, y=4x and 2x+3y=a

So, vertices of the triangle are (a/8,a/4);(a/14,2a/7) and (0,0)

By the determinant method, the area of the triangle formed by these coordinates comes out to be a2/112 which is equal to 7

This gives the value of a as 28.

Ques. If the line x=k; k= 1,2,3,…..,n meet the line y=3x+4 at the points Ak(xk,yk), k= 1,2,3…..,n then the ordinate of the centre of the mean position of points Ak, k= 1,2,3,…..,n is

1) n+1/2 3) 3(n+1)/2

2) 3n+11/2 4) None of the above

Ans. We have yk=3k+4, the ordinate of intersection of x=k and y=3x+4 . So the ordinate of the mean position of the points Ak k= 1,2,3,…..,n is

(1/n){sum of all yk’s} which comes out to be 3n+11/2

Ques. If the point (3,4) lies on the locus of the point of intersection of the lines xcost+ysint =a and xsint-ycost=b, the point (a,b) lies on the line 3x-4y=0 then |a+b|=?

1) 1 3) 7

2) 3 4) 12

Ans. Squaring and adding the given equations of the lines we get

x2+y2=a2+b2 as the locus of the point of intersection of these lines.

Since (3,4) lies on the locus we get

9+16=a2+b2

Also (a,b) lies on 3x-4y=0 so 3a-4b=0

Solving the two equations for a and b, we get |a+b|= 7

Ques. Equation of the circle with centre (-4,3) touching internally and containing the circle x2+y2=1is

1) x2+y2+8x-6y+9=0 3) x2+y2-8x+6y+9=0

2)x2+y2+8x-6y+11=0 4) x2+y2-8x+6y-11=0

Ans. Let the equation of the required circle be (x+4)2+(y-3)2=r2

If the above circle touches the circle x2+y2=1 internally, then the distance between the centres of the circles is equal to the difference of their radii

42+32=r-1

Which implies r=6

So the equation of the circle is x2+y2+8x-6y-11=0

Ques. If the normal chord at a point ‘t’ on the parabola y2=4axsubtends a right angle at the vertex, then the value of t is

1)4 3) 3

2)1 4) 2

Ans. Equation of the normal at ‘t’ to the parabola y2=4ax is y= -tx+2at+at3

The joint equation of the lines joining the vertex to the points of the intersection of parabola and the normal is

y2=4ax[y+tx/2at+t3]

4tx2-(2t+t3)y2+4xy=0

Since these lines are at right angles so the coefficient of x2+y2=0

So, t comes out to be 2.

Ques. The angle between a diagonal of a cube and one of its edges is,

1) cos-1(1/3) 3) /3

2) /4 4) /6

Ans. Let a= a1i, b=a1j ,c=a1k.

Then the vector d= a1(i+j+k) is a diagonal of the cube. The angle between one of the edges a, b or c and the diagonal d is given by,

cos=a.d/|a||d| which comes out to be cos-1(1/3).

Ques. Volume of the tetrahedron with vertices P(-1,2,0) ; Q(2,1,-3) ; R(1,0,1) and S (3,-2,3) is

1) 1/3 3) 1/4

2) 2/3 4) ¾

Ans. Volume of the tetrahedron is given by a scalar triple product,

Volume of tetrahedron= ⅙|PQ.(PR x PS)|

Here PQ, PR and PS are three vectors made from the above provided coordinates.

So, the volume of tetrahedron comes out to be ⅔ after solving the triple product.

Ques. If A,B,C and D are four points in space and |ABxCD+BCxAD+CAxBD|=(area of triangle ABC). Then the value of is-

1) 1 3) 3

2) 2 4) 4

Ans. Let D be the origin of reference and DA=a, DB= b, DC= c

So, |ABxCD+BCxAD+CAxBD|= |(b-a) x (-c) +(c-b) x (-a) + (a-c) x (-b)|

= 2|axb+bxc+cxa|

=2(2 area of ABC)

Hence equals 4

Ques. A unit tangent vector at t=2 on the curve x=t2+2,y=4t3-5,z=2t2-6t is?

Ans. The position vector of any point at t is r=(t2+2)i+(4t3-5)j+(2t2-6t) k

dr/dt=2ti+12t2j+(4t-6)k

At t=2, the above comes out to be 4i+48j+2k, and the unit vector comes out to be (1/580) 2i+24j+k

Ques. Let N be the foot of the perpendicular of length p from the origin to a plane and l,m,n be the direction cosines of ON, the equation of the plane is

1) px+my+nz=l 3) lx+my+pz=n

2) lx+py+nz =m 4) lx+my+nz=p

Ans. The coordinates of N are (pl,pm,pn) and let P(x,y,z) be any point on the plane. The direction cosines of PN are proportional to x-pl, y-pm and z-pm. Since ON is perpendicular to the plane, it is perp. To PN

Hence, l(x-pl)+m(y-pm)+n(z-pm)=0

lx+my+nz=p(l2+m2+n2)=p, which is the locus of P and is the required equation of the plane.

Ques. The image of the point (-1,3,4) in the plane x-2y = 0 is

1) 8,4,4 3) 15,11,4

2) 9/5, -13/5,4 4) 4,4,1

Ans. Required image of the line lies on the line through A(-1,3,4) and perpendicular to x-2y=0 that is on the line

x+1/1 = y-3/-2 = z-4/ 0 =t (say)

So, the coordinates of the image is (t-1,-2t+3,4)

This point also lies on the plane, so t comes out to be 14/5

So, the required image is (9/5, -13/5,4).

Ques. If (2,3,5) is one end of the diameter of the spherex2+y2+z2-6x-12y-2z+20=0 then the coordinates of the other end are

1) 4,9,-3 3) 4,3,3

2) 4,-3,3 4) 4,3,5

Ans. Let the other end of the diameter be (a,b,c) , then the equation of the sphere is (x-2)(x-a)+(y-3)(y-b)+(z-5)(z-c)=0

Which equals x2+y2+z2-(2+a)x-(3+b)y-(5+c)z+2a+3b+5c=0

Comparing the above equations of the sphere with the equation given and comparing the corresponding terms we get,

The required coordinates as (4,9,-3).

Ques. Four Persons independently solve a certain problem correctly with probabilities ½, ¾, ¼ and 1/8. Then the probability that the problem is solved correctly by at least one of them. [JEE Advanced 2013]

Ans. P(Problem solved by at least one of them)=1-P(Problem solved none of them)

=1-½*¼*¾*7/8

=1-21/256

=235/256

Ques. An unbiased coin is tossed. If the result is heads, a pair of unbiased dice is rolled, and the number obtained by adding the number on the two faces are noted. If the result is a tail, a card from a well-shuffled pack of 11 cards numbered 2, 3, 4…. .., 12 is picked & the number on the card is noted. What is the probability that the number noted is 7 or 8?

Ans. Let us define the events:

A : head appears.

B : Tail appears

C : 7 or 8 is noted.

We have to find the probability of C i.e. P (C)

P(C) = P(A) P (C/A) + P(B) P(C/B)

Now we calculate each of the constituents one by one P(A) = probability of appearing head=½

P(C/A) = Probability that event C takes place i.e. 7 or 8 being noted when head has already appeared. (If something has already happened then it becomes certain, i.e. now it is certain that head has appeared we have to certainly roll a pair of unbiased dice).

= 11/36 (since (6, 1) (1, 6) (5, 2) (2, 5) (3, 4) (4, 3) (6, 2) (2, 6) (3, 5) (5, 3) (4, 4) i.e. 11 favorable cases and of course 6 × 6 = 36 total number of cases)

Similarly, P(B) = 1/2

P(B/C) = 2/11 (Two favorable cases (7 and 8) and 11 total number of cases).

Hence, P(C) = ½ × 11/36 + ½ × 2/11 = 193/792 (Ans.)

Ques. Sixteen players P1, P2, ….. P16 play in a tournament. They are divided into eight pairs at random. From each pair, a winner is decided on the basis of a game played between the two players of the pair. Assuming that all the players are of equal strength, the probability that exactly one of the players P1 and P2 is among the eight winners is

(a) 4/15

(b) 5/9

(c) 3/8

(d) 8/15

Ans. Let E1 and E2 denote the event that P1 and P2 are paired or not paired together. Let A denote the event that one of the two players P1 and P2 is amongst the winners.

Since, P1 can be paired with any of the remaining 15 players, so P(E1) = 1/15

and P(E2) = 1 – P(E1) = 1 – 1/15 = 14/15

In case E1 occurs, it is certain that one of P1 and P2 will be among the winners. In case E2 occurs, the probability that exactly one of P1 and P2 is among the winners is

P[(P1 ∩ P2C) ∪ (P1C ∩ P2)] = P(P1 ∩ P2C) + P(P1C ∩ P2)

= P(P1) P(P2C) + P(P1C) P(P2)

= ½ (1 – 1/2) + (1 – 1/2)1/2

= ¼ + ¼

= ½

i.e. P(A/E1) = 1 and P(A/E2) = ½

By the total probability rule,

P(A) = P(E1). P(A/E1) + P(E2) P(A/E2)

= 1/15 (1) + 14/15(1/2)

= 8/15

Ques. In a test an examinee either guesses or copies or knows that answer to a multiple-choice question which has 4 choices. The probability that he makes a guess is 1/3 and the probability that he copies is 1/6. The probability that his answer is correct, given the copied it, is 1/8. Find the probability that he knew the answer to the question, given that he answered it correctly.

Ans.

P(g) = probability of guessing = 1/3

P(c) = probability of copying = 1/6

P(k) = probability of knowing = 1 – 1/3 – 1/6 = ½

(Since the three-event g, c and k are mutually exclusive and exhaustive)

P(w) = probability that answer is correct

P(k/w) = (P(w/k).P(k))/(P(w/c)P(c) + P(w/k)P(k) + P(w/g)P (g)) (using Bayes theorem)

= (1×1/2)/((1/8,1/6) + (1×1/2) + (1/4×1/3) )

= 24/29(Ans.)

Ques. A speaks truth 3 out of 4 times. He reported that Mohan Bagan had won the match. Find the probability that his report was correct.

Ans.

Method 1:

Let T : A speaks the truth

B : Mohan Bagan won the match

Given, P(T) = 3/4

.·. P(TC) = 1 – 1/3 = 1/4

A match can be won, drawn or loosen

.·. P(B/T) = 1/3 P(B/TC) = 2/3.

Using Bayes theorem we get

P(T/B) = (P(T).P(B/T))/(P(T).P(B/T) + P(TC)P(B/TC))

= 3/4×1/3)/(3/4×1/3 + 1/4×2/3) = (1/4)/(5/12)

=3/5

Method 2:

Let, T : The man speaks truth

A : Mohan Bagan won the match

B : He reported that Mohan Bagan has won.

P(A) = 1/3(the match may also end in a draw)

P(T) = ¾

P(B) = P(A) P(T) + P(AC) P(TC)

= 1/3×3/4 + 2/3×1/4

= ¼ + 1/6

= (3+2)/12 = 5/12

P(T/B) = (P(B/T).P(T))/(P(B)) = (1/3×3/4)/(5/12)

= 3/5 (Ans.)

JEE Main 2020 Syllabus

Mathematics: Sets, relations and functions, complex numbers and quadratic equations, matrices and determinants, permutations and combinations, mathematical signs, binomial theorems, etc.

Physics: Kinematics, Laws of Motion, Functions, Gravity, Solids and Liquids, Thermodynamics, Energy and Power, Rotating Motion etc.

Chemistry: Basic concepts of chemistry, chemical bonds and molecular structures, chemical kinetics, chemical thermodynamics, states of substances etc.

Mathematics can be easily scorable if you know the tricks and short methods for harder calculations. Remember that in a board examination marks are given for each step but in competitive exams like JEE Main, each question has 4 marks only. Now that question can take 10 steps or it can take 2 steps. That choice is the smart decision which brings out the toppers.

Keep revising your topics and maintain a small handbook for the basic formulae of trigonometry, calculus and other major sections. Mathematics is a mixture of hard work and smart work. You cannot just rely on one of them to ensure a good score. Work on your weak topics but even more on strong topics to give you an edge on them.

JEE Main 2020 Preparation Tips: Topper’s Tips, Subject-wise plan and Paper Analysis

JEE Main 2020 Preparation Tips: If you are an engineering aspirant and want to pursue B.E/B.Tech from a top notch engineering institute of India then achieving a good score in JEE Main is highly important. Considering this situation of COVID-19 crisis, aspirants have some additional days left to prepare for JEE Main 2020 April session. When it comes to juggling between class 12th boards & JEE Main, then the struggle is real. Here, we have got you some helpful tips for JEE Main 2020 preparation. These tips will help the candidates to crack this most important engineering entrance exam in India. The time management, revising important topics and chapters, and solving sample papers & mock tests are some well-known preparation tips for JEE Main 2020.

Alongside, the section and topic-wise analysis of the previous year JEE Main question papers is another useful tool while preparing for the exam. This article will provide you with JEE Main 2020 Preparation Tips along with subject and topic-wise analysis of previous year JEE Main exams.

Basic Tips for JEE Main 2020 Preparation

  • Time Management – A proper schedule for exam preparation is the best way of managing time wisely. You can stick to it and prioritize your set goals. Be sure to set deadlines and cover the entire syllabus within the stipulated time.
  • Know the Syllabus – Be thorough with the JEE Main 2020 syllabus. Practice the familiar topics and revise them regularly. The topics that seem tough for you, practice them on a regular basis and give them extra time. Don’t forget to go through the topics from which most of the questions are asked.
  • Practice JEE Main Mock Tests – Solving mock tests and practice papers can actually tell what level of preparation is needed. Solving the question papers enables the candidates to know the level of exam and their own preparation against it so they can work on their weak topics. Nowadays a deep analysis of mocks is easily available online, to understand accuracy, strong topics, time consuming topics and weak topics.
  • Revision – Organise your study time and revision time. Revision ensures you are on track with the topics that are not under purview but must be worked on. Take regular breaks and practice previous years’ JEE Main question papers. Revise the topics every alternate day or at least twice a week.
  • Speed – With practice, you will build speed in core topics. This speed must be maintained during the examination as well. Since there is no sectional timing, ensure that you solve enough questions from each section within 1 and a half hour such that the score reaches the expected cutoff.
  • Accuracy – If you follow the speed rule in the first 90 minutes, follow the accuracy rule in next 90 minutes. Instead of solving maximum questions, try solving what you can, but with accurate answers. This will help build your score and probably help in overall rank considered for IITs.

JEE Main Preparation Tips by 2020 Toppers

This year, 9 candidates scored a perfect 100 percentile in JEE Mains 2020 January session. This means that these 9 candidates were the topmost candidates out of the 9 lakh+ applicants. Candidates who took JEE Main 2020 said that they found the mathematics section most difficult. Although, the other sections were moderate to easy.

Strategy of Toppers

  • Kaushal Kumar Reddy: He scored 100 percentile. He said he found JEE Main exam moderate in difficulty level. His basic strategy was to ensure that his basic concepts of Physics, Chemistry and Mathematics were clear. He followed NCERT but preparing from NCERT Books is not enough. To crack JEE Main 2020 with a good score you will need better practice from better refreshers, higher understanding of concepts and proper dedication towards learning.
  • Landa Jitendra: A resident of Andhra Pradesh, scored 100 percentile. He took coaching from Sri Chaitanya institute. He said the coaching centre and school helped him study, teachers at coaching center told him when, what and how to study. He referred to the study material provided by the coaching center and used to attempt mock tests every weekend.
  • Nishant Agarwal: He scored 100 percentile. He said he was preparing from the very beginning and aimed to score full marks in JEE Main examination. He got best support and motivation from the teachers at the coaching center.
  • Divyanshu Agarwal: He also scored 100 percentile by self study. He said 8-9 hours of self study helped him to achieve 100 score in JEE Main examination.
  • Kunwar Preet Singh: He said regular study and revision helped him to score 99 percentile in JEE Main 2020. Appearing for the Mock test is very helpful to score good.
  • Advaid Deepak: He said he gave 7 hours each day to prepare for JEE Main during school days and 15 hours each day of preparation during holidays.

Almost all of these top scorers have one thing in common. Their will to learn more and more. And so much more that they used to study for more than 7 hours a day!

JEE Main Preparation Tips for Class XI and XII Students

  • Boards are important: Class XI and XII students must focus on their board exams as they are equally important as JEE Main or Advanced. The aggregate percentage of boards is a deciding factor of a candidate’s eligibility in JEE Main and JEE Advanced. Not just that, due to heavy competition among students, many top-tier colleges do not take students below the aggregate percentage of 90% in boards.
  • Understanding weaknesses: A lot of students take Class XI subjects lightly and ‘plan’ their strategy for ‘cracking the XII boards’. This is a very wrong approach and will hit back hard. Class XI subjects consist of topics which create a base for the topics of Class XII. If a student is facing difficulty in a topic of class XII, he/she must try to figure out the core concept of that topic, which often dates back to class XI. Weaknesses sometimes lie in the past and we must conquer them!
  • Time flies: Everyone around you might keep saying that to study better, time management is important. But a very few might talk about how to manage time in such a way that you get enough time for study, household chores, leisure and other activities. Start by calculating the time consumed in your day-to-day activities using a stopwatch. And prepare a time limit for every activity. Give a large proportion of your time to studies.
  • Create short notes: Students must create a habit of maintaining short notes of important topics. This will benefit in the long run because during the final moments of practice, it is very difficult to accumulate all the information from a book of more than a 1000 pages. During this shortage of time, the short notes will come in handy. Students can easily refer to important formulae, short-cut methods and other essential information that they have jotted down while preparing for the topics.
  • Procrastination is the thief of time: One cannot decide how long it will take to prepare for JEE Main and JEE Advanced. Some people have scored great within an year of preparation and some have scored only a decent score even with 3 years of preparation. Here, the time actually spent on studies rather than worrying or delaying by saying, “I can do this later”, might have a huge difference. Studying 6 hours daily for 365 days with full dedication might provide huge benefits. Rather than studying just 2 or 3 hours for 2 years (730 days!).

How to make the JEE Main 2020 Preparation Plan?

Given below are some points to adhere to while making a plan for preparation of JEE Main 2020-

  • Students must have a good idea of the expected weightage of various topics in JEE Main.
  • Give more time to topics which have heavy weightage in the examination.
  • Segregation of topics is necessary. Segregate your plan for difficult, moderate and easy topics. Difficult topics must be given more time.
  • Sequential study is required in subjects like Mathematics. Plan your monthly schedule based on the same. Core topics must be prepared first. For example, one cannot understand Intregral Calculus before understanding the basics of Limits and Derivatives as well as Differentiation.
  • Add at least 1 month for revision in the plan. Plan the revision in such a way that all topics are covered during revision. If you feel that the time might be insufficient, allot more than a month for revision. Prepare for contingencies.

Steps required in JEE Main 2020 Preparation Plan

  • Begin your plan with studying various chapters of the subject while understanding the core concepts of the topics. Use NCERT books or short video lectures for this to quickly grab the basics.
  • As stated previously, make as many short notes on topics as possible. Ensure to pen down only the most important information and formulae. Do not jot down each and everything else, you wil have a hard time during revisions.
  • Once the chapter or topic has been studied thoroughly, try to recollect what you have just studied and try to analyse up to what extent have you understood the topic.
  • Soon after recollecting, start solving the questions of the topics. Begin with examples first. It might be possible that you are not able to understand the questions but try to solve them on your own at first instance. Post that, if the question is still unsolved, continue with reviewing the solution and solve the question youself again. This will build up your habit of practice.
  • After completing a particular topic, try attempting the topic-wise mock tests available for free on various learning portals (given below). One the whole subject is completed, try attempting sectional mock tests. This will give you an idea about your strong and weak points.
  • Mostly, learning portals or mock test portals provide a deep analysis of the mock test attempted by a candidate. Once the whole syllabus is complete, attempt at least 1 mock in every 2 days. And give double the time for its analysis.
  • Continuous revision is necessary for exams like JEE Main. Moreover, the most important part of JEE Main Preparation Tip is continuous revisions using short notes and solving questions of various topics and difficulties each and every day but in a planned manner.
  • It is important to clear all the doubts regarding any topics. Keep a separate doubt book. Use the ‘Doubtnut app’ given below to get solutions to your doubts as soon as possible. One never knows if a doubt left unsolved will turn out to be a question in the exam or not.
  • Take necessary breaks to keep yourself going. Fatigue is very much mental as it could be physical. Breaks are necessary to ensure that you do not get bored while studying continuously for hours. Try to maintain a desk and chair position for 3 hours but do take breaks during studies. Watch a movie or go out for a walk with friends!

Subject-wise Preparation Tips for JEE Main Paper 1

JEE Main Paper 1 consists of 3 subjects namely Physics, Chemistry and Mathematics having 25 questions each. All three subjects are important and should be given equal importance. Be updated with the latest exam pattern. Following are some subject-wise JEE Main preparation tips that will help students prepare well.

Physics

Physics is a conceptual subject and candidates should understand its basic concepts thoroughly.

  • After studying a particular topic, make sure to solve the related problems on the same day. This makes concepts clear and helps in remembering them in a better way.
  • Along with some recommended books like HC Verma, aspirants should also refer to NCERT books. These books will help in understanding the basic concepts.

Physics Month Wise Plan

Most Important Topics of Physics

Some topics cover the major portion of Physics portion and students shouldn’t miss them out during preparations. Check them out:

  1. Modern Physics – JEE Main 2020 paper has five questions from Modern Physics, making it one of the most important topics. Make sure to cover sub-topics like nuclear fission and fusion, dual nature of matter, radioactive decay of substances and X-rays. Also study the Bohr’s model properly. Again NCERT shall be a starting point and further consult HC Verma for the theory part and 3000 Solved Problems in Physics by Schaum for the numerical part.
  2. Electrostatics: Every year almost four questions are being asked from Electrostatics; considered to be one of the high scoring topics in Physics. With the clarity of basic concepts, students can easily crack four questions from a single topic. Concepts of Physics by H C Verma, is a highly recommended book for Electrostatics as it comprises solved numerical problems of good quality.
  3. Oscillation and Waves– Like Electrostatics, students can expect 3-4 questions on this topic too. Clear concepts from NCERT and then delve further with H C Verma for application of concepts.
  4. Optics – Comparatively, an easy topic with minimum 2-3 questions being asked every year. While doing studies make sure to understand Huygen’s principles. The best book recommended for this topic would be Understanding Physics for JEE Main, Advanced Optics & Modern Physics by DC Pandey.

Also Check | JEE Main Preparation Tips for Physics

Chemistry

Chemistry is the subject which is a combination of concepts, theory and chemical equations.

  • Do remember to refer to some really good books to help you understand the subject better.
  • While studying a Chemistry topic, always mark the important points which will help during revision.
  • Solve the problems related to the concepts and practice the chemical equations by writing them down to learn them.

Chemistry Month Wise Plan

Most Important Topics of Chemistry

  1. Chemical Bonding and Molecular Structure: Topics like Kossel-Lewis Approach, Ionic Bond, Born Haber Cycle, Various Type of Bonds, Octet Rule, Exceptions, Bond Characteristics and all the other topics are short but hard to remember as these topics have unique characteristics for each bond or structure. Students must prepare all the topics of this chapter with regular revisions to ensure a good knowledge all throughout the year.
  2. Periodic table (P-block, D & F-block and S-block elements): Characteristics of elements of various blocks, Transition series, configuration of elements in various blocks and many more sub-topics are covered here. The periodic table is divided under 3 chapters and considering its a one whole part of chemistry, it covers a lot of important questions in JEE Main.
  3. Carboxylic Acids, Aldehydes and Ketones: Nomenclature, Nature of carbonyl group, Methods of preparation, Physical and chemical properties, Mechanism of Nucleophilic addition (very important), Reactivity of alpha hydrogen in Aldehydes, Carboxylic Acids: Nomenclature, Acidic nature, Methods of preparation (very important), Physical and chemical properties (very important).
  4. Redox reactions, Mole Concept and the concept of equivalents: Molarity (M), Normality (N), Equivalent Mass, Dilution Effects, Volume strength of H2O2 solution, Percentage Labeling of Oleum, Modifications in law of equivalence, e of Contents, Types of redox reactions, Examples of various types of redox reactions, Oxidation and Reduction, Oxidizing and Reducing Agents, Identification of Oxidizing and Reducing Agents, Balancing Redox Reaction, Practical Uses of Redox Reactions.
  5. States of Matter – Solid state, solutions and gases theory: The gaseous and liquid states of matter cover the following major theories – Van der Waals Forces, Properties of Gases and Gas Laws, Kinetic Molecular Theory, Ideal Gas Law & Dalton’s Law of Partial Pressure, Graham’s Law of Diffusion & Gas Eudiometry, Deviation From Ideal Gas Behaviour and Van der Waal’s Equation, Liquid State.
  6. Thermochemistry and Laws of Thermodynamics: Physical quantity entropy, Entropy Change, Bond Energy or Bond Enthalpies, Co-efficient of Performance (K), Numericals based on Co-efficient of Performance, Levoisier and Laplace law, Hess’s law (the law of constant heat summation), Experimental verification of Hess’s law, Applications of Hess’s law, Third Law of Thermodynamics, Zeroth Law of Thermodynamics, The Carnot Cycle,

Check JEE Main Preparation Tips for Chemistry

Mathematics

Mathematics is the most important subject which is also an easy scoring as well as a hard scoring section.

  • You can only be thorough in Mathematics if you keep practicing it. Also, along with practicing, try to be accurate and quick.
  • While solving the maths problems, try to create your own shortcuts for different topics. This will help you in saving time during the JEE Main.
  • Note down important formulas separately, it will be helpful during revision.

Maths Month Wise Plan

Most Important Topics of Mathemathics

  1. Calculus: Calculus is one of the largest topics of mathematics. It is divided into two major studies – Differential and Integral calculus. Key topics to study in differential calculus are – limits and continuity, application of derivatives, differentiation. Key topics from integral calculus are – Indefinite integral, definite integral, area under curves.
  2. Coordinate Geometry: Comparatively easy and scorable, coordinate geometry is the study of shapes and curves on a graph. Major topics to be covered under coordinate geometry are – straight lines, hyperbola, parabola, ellipse, circle.
  3. Trigonometry: Trigonometry has been considered one of the most important topics since class 10th. Students must have a command over the basics of trigonometry. JEE Main 2020 and other exams have questions from trigonometric ratios and trigonometric functions. These are scorable and are moderately tough.
  4. Algebra: This is the vastest topic of Mathematics. Questions from algebra could vary from easy to very hard. It depends on your ability to decipher how long a question can take. Major topics to be covered under algebra are – sets, relations and functions, matrices and determinants, permutations and combinations, complex numbers, probability, differential equations, quadratic equations and expressions, progressions and series, binomial theorem.

Check JEE Main Preparation Tips for Mathematics

JEE Main Preparation: Using Android Applications

While parents might feel that the smartphone is the ‘culprit’ for all the problems, it might really not be. Instead, if an aspirant is wise enough to put use of the smartphone for studies, it might turn out to be a saviour! The internet capabilities have changed a lot since the past 5 years. Homes are now turning smart with Smart TVs, Smart ACs, Smart LEDs and so much more. If you have a Smart TV at your home, you can easily watch video lectures of various topics very easily with just a snap of a button. Let us talk about the various applications which can help students improve their performance.

Unacademy Learning App

Unacademy is the largest learning platform in India with a continuously growing user base. Students can watch completely free lectures on various subjects and topics directly streamed by the toppers of various examinations. Students can also interact with the educators or teachers through the comment section given below the video. During a live stream, students can also ask doubts regarding any particular topic that might be bugging them. Unacademy is not only useful for JEE Main or JEE Advanced but also helps students in preparation for other medical, engineering and government examinations.

Size: Approximately 25 MB

Developer: Unacademy

Play Store Link: https://play.google.com/store/apps/details?id=com.unacademyapp&hl=en_IN

Play Store Rating: 4.5/5 (3.5 lakh+ ratings)

Toppr

Toppr is also considered one of the biggest learning platforms for aspirants of JEE Main and NEET. The USP of this application is the interactive design and properly organised resources. Moreover, many users have reported positive about the response time over doubts asked for any kind of topic. Students can set a learning goal here and also set a time limit to complete that particular goal. Toppr also provides free video lectures for JEE, Medical and Commerce level entrance examinations.

Size: 39 MB

Developer: Toppr

Play Store Link: https://play.google.com/store/apps/details?id=haygot.togyah.app&hl=en_IN

Play Store Rating: 4.2/5 (1.2 lakh+ ratings)

Vedantu

This application houses all the major resources required for a student. From Solutions of questions from books of major writers to All India Mock Tests and live video lectures, students will find all the necessary resources, completely free! The speciality of this application is their in-house WAVE technology which lets students (or users) interact with a question put-up on the screen by the educator. The analysis is provided by the time taken to solve and real-time leaderboard of students. This encourages a competitive environment right from the beginning.

Size: 16 MB

Developer: Vedantu

Play Store Link: https://play.google.com/store/apps/details?id=com.vedantu.app&hl=en_IN

Play Store Rating: 4.4/5 (92k+ ratings)

EduRev

EduRev is a learning application which provides subject wise notes and video lectures. It also houses a large number of Mock Tests and topic-wise tests for students to work on their weak topics. Students will also find a large database of questions from previous years provided within the application. This application provides a large amount of short notes on various topics for quick revision. EduRev also has segregate applications catering to the needs of students of various classes and for various competitive exams.

Size: 15 MB

Developer: EduRev

Play Store Link: https://play.google.com/store/apps/details?id=com.edurev&hl=en_IN

Play Store Rating: 4.6/5 (27k+ ratings)

Khan Academy

Khan Academy is one of the oldest platforms providing free education using video lectures. It was started by Sal Khan and since then has grown with a large user base all over the world with a major focus on education catering to US based curriculums. With a recent upgrade to Indian education system, Khan Academy now provides video lectures according to the curriculum of CBSE and for IIT JEE too. Video lectures of Khan Academy are very well explained to understand the topics thoroughly. With each video lecture, students are also asked questions on the topic for which they earn points and badges as rewards.

Size: 32 MB

Developer: Khan Academy

Play Store Link: https://play.google.com/store/apps/details?id=org.khanacademy.android&hl=en_IN

Play Store Rating: 4.3/5 (1.2 lakh+ ratings)

Meritnation

Meritnation was the first few portals providing video lectures or classes online. It was started by Naukri.com. The major use of this portal for students during early start was to check for solved answers for better explanations of questions. It is one of the few portals providing video lectures with more than 14,000 videos based on content from NCERT books. It also provides free answers to unsolved questions from more than 50 popular reference books from various writers such as RD Sharma, HC Verma and TS Grewal.

Size: 16 MB

Developer: Meritnation

Play Store Link: https://play.google.com/store/apps/details?id=com.meritnation.school&hl=en_IN

Play Store Rating: 4.2/5 (1.2 lakh+ ratings)

JEEReady

JEEReady is an application launched in 2019 by Amazon. The app received positive feedback from a large number of students. The application offers All India Mock Tests to check your position on a large scale. Interactive personalised reports on strong and weak sections are also available based on the tests attempted by the students. Being developed from a large US-based company entering in the Indian EdTech sector, it has a large number of quality questions and mock tests from various chapters from the syllabus of JEE Main.

Size: 17 MB

Developer: Amazon Mobile LLC

Play Store Link: https://play.google.com/store/apps/details?id=com.amazon.kindle.guru&hl=en_IN

Play Store Rating: Not available (Early Access)

Free IIT JEE NEET Solutions NCERT CBSE Doubts App

As the name of this application suggests, it provides easy explanations to your doubts from the best staff behind the application. Response time is also pretty quick. The user community of this application is pretty large giving a quick response time from users as well. Students can easily put up a snapshot of any question they are unable to solve. Solutions are provided from various sources such as in-house Doubtnut solutions, Google, Quora, Yahoo and Youtube. To increase engagement of students, points and achievements are awarded for each day participation towards studies. Daily practice problems is the most useful section of this application for JEE Main Preparation.

Size: 18 MB

Developer: Doubtnut

Play Store Link: https://play.google.com/store/apps/details?id=com.doubtnutapp&hl=en_IN

Play Store Rating: 4.3/5 (97k+ ratings)

JEE Mains & Advance 2020 Exam Preparation

This application has a large database of MCQs from all the sections of JEE Main and JEE Advanced. Previous Year Question Papers are also available easily upto 2007. This application does not provide a deep analysis of the user performance. Although, accuracy and speed analysis is provided for each test taken. Users can find this very useful as content can be downloaded on the device and then can be used even if the device does not have a working internet connection. Chapterwise MCQs of this application can be useful for JEE Main preparation.

Size: 9.3 MB

Developer: Mukesh Kaushik

Play Store Link: https://play.google.com/store/apps/details?id=jee.iit.latest&hl=en_IN

Play Store Rating: 4.5/5 (4k+ ratings)

JEE Main Exam Analysis of Previous Years’ Papers

Candidates can also check the JEE Main Paper Analysis of the previous year’s exam. This will give them an understanding of the type of questions asked and the important topics from each subject that carry more weightage.

Topic-wise Analysis for Physics

Topics Number of Questions
JEE Main 2017 JEE Main 2018 JEE Main 2019
Units, Dimensions, Errors, Experiments 1 2 1
Kinematics 1 0 1
Newton’s Laws and Friction 1 0 1
Work, Power & Energy 0 2 1
System of Particles 2 1 0
Gravitation, Rotational Mechanics 2 2 3
Properties of Matter 1 0 1
SHM, Oscillations 1 1 1
Mechanical Waves and Sound 1 2 0
Ray Optics, Wave Optics 3 3 3
Heat and Thermodynamics 3 3 3
Electrostatics 3 2 2
Current Electricity 2 2 3
Magnetism, Magnetic effects of current 3 2 1
EMI, AC and EM waves and Communication 4 3 1
Modern Physics 2 5 3
Total 30 30 25

Topic-wise Analysis for Chemistry

Topics Number of Questions
JEE Main 2017 JEE Main 2018 JEE Main 2019
Atomic Structure and Classification 2 1 2
Chemical Bonding 1 1 0
Stoichiometry 1 1 2
States of Matter 1 1 0
Chemical & Ionic Equilibrium 1 1 1
Chemical Kinetics & Nuclear Chemistry 1 1 1
Chemical Thermodynamics 1 1 2
Solutions 1 1 0
Electrochemistry 1 1 1
General Organic Chemistry + Functional Group-I 3 6 3
Organic Chemistry + Functional Group-II 2 0 3
Organic Chemistry + Functional Group-III 1 1 2
Chemistry of Representative Elements 7 6 3
Transition Elements 3 2 1
Coordination Compounds & Organometallics 1 2 1
Surface Chemistry 0 1 1
Biomolecules 3 3 2
Total 30 30 25

Topic-wise Analysis for Mathematics

Topic Number of Questions
JEE Main 2017 JEE Main 2018 JEE Main 2019
Sets, Relations and Functions 1 1 0
Limits, Continuity & Differentiability 3 2 3
Application of Derivatives 1 2 2
Indefinite and Definite Integrals & Area under the Curve 3 3 3
Cartesian coordinates & Straight Line 2 1 1
Circles 1 2 1
Conics 2 2 1
Quadratic Equations, Inequalities, Progressions 3 3 1
Complex Numbers 1 1 1
Binomial Theorem, Exponential & Logarithmic Series 1 1 1
Permutation & Combination 1 1 1
Probability 1 1 2
Vectors 1 1 1
3-D Coordinate Geometry 2 2 2
Differential Equations & Properties of Triangles 1 1 1
Trigonometry 2 2 2
Matrices & Determinants 2 2 2
Mathematical Logic 1 1 0
Statistics 1 1 0
Total 30 30 25

Important Books for JEE Main Preparation

NCERT books are great to cover all the topics easily but they do not cover all sub-topics thoroughly with proper examples. Since a long period of time, a lot of the refresher books have become popular on account of the tips provided for various topics, practice exercises that are given at the end of the chapter and the in-depth explanation of concepts which helps in easing the JEE Main 2020 Preparation. In short, refresher or reference books help an aspirant to work on the major topics with proper practice. These are the books that are perfect to refer for IIT JEE also which includes both JEE Main and JEE Advanced. Some important books recommended for JEE Main aspirants by the experts are-

Subject Important Books
Physics -H.C. Verma- For concepts and numerical practice-Resnick and Halliday: An optional book for concepts and examples

-DC Pandey and O.P Tandon

Chemistry -Numerical Chemistry (Objective book) by P. Bahadur-S.N Sanyal’s Organic Chemistry book,

-NCERTs for Inorganic chemistry

Mathematics -Coordinate Geometry and Trigonometry by S.L. Loney-A DasGupta’s book for subjective and objective practice

-Calculus by G N Berman

-Arihant Books, Algebra – Hall and Knight

JEE Main 2020 Preparation: Are coaching institutes useful?

A lot of students or aspirants of JEE Main believe that they cannot excel in their preparation for JEE Main without attending classes at a coaching institute. It is true that coaching institutes have become the education business of this century and no doubt they provide facilities similar to colleges. They provide faculties from top colleges of the country. The coaching material will help you form a strong base for IIT JEE 2020. You would have to follow a particular study pattern set by the respective institutes and plan your study schedule accordingly. If you are comfortable studying in such a way, you can join a reputed coaching institute.

If a student cannot adapt in such a pattern, it is suggested that self-study is always the best option. Self-studying will prove to be even more useful than joining a coaching institute considering the candidate plans the time table or schedule well enough and follows the same pattern rigorously. Meanwhile, it is also suggested to prepare for various Olympiads and exams like NTSE (National Talent Search Examination) which will improvise the candidate’s skills and knowledge from the grass root level. This will also help in the preparation for the upcoming board exams.

Aspirants can choose any book they prefer to practice more and more questions. They must be committed to more than 6 hours of study in a day. Moreover, the exam will be of 3 hours continuously which is also why, aspirants should give 3 hours of study without any breaks (probably not even washroom!). Try solving the paper in 2 hours and 30 minutes. If not solving all the questions, look for the best possible score. This will help you build your speed for contingencies.