The Central Board of Secondary Education (CBSE) has scheduled JEE Main on April 8, 2018 in offline mode. There are only two weeks left for the examination. Now, students should practice at least one practice paper daily to improve their speed and accuracy.

CBSE class 12 appearing students can attempt practice paper as their main exams (Physics, Chemistry and Mathematics) are already over. They have studied the complete syllabus of Class 12. Now they are to focus only on Class 11 syllabus before appearing for JEE Main 2018.

It is very important for students to revise complete syllabus of Class 11 and Class 12 to score good marks in upcoming JEE Main. Students can even go through the NCERT books of class 11 and class 12 as there are only few days for the examination. By doing so, they can cover the complete syllabus before time. According to some experts, NCERT textbooks are the best study material to score good marks in JEE Main.

It is observed that students who solved more practice papers score more marks in their exam than those who struggled to solve few practice papers.

After doing the detailed analysis of few previous years’ papers of JEE Main, this time engineering section is providing you fully solved paper based on the latest pattern and syllabus.

**About the Paper:**

1. There are three sections in this paper namely Physics, Chemistry and Mathematics.

2. Each section consists of 30 multiple choice questions with single correct option.

3. The time allotted to complete the paper is 3 hours.

4. For each correct answer students will be award +4 marks and for each incorrect answer one mark will be deducted.

5. Zero mark will be awarded for unattempted questions.

**Physics**

Here, you will get a set of 30 questions from different topics of Physics like Units and Measurements, Motion in a Straight Line, Laws of Motion, Rotational Motion, Gravitation, Thermodynamics, Kinetic Theory of gases, Waves, Electric Charges and Fields, Electrostatic Potential and Capacitance, Current Electricity, Moving Charges and Magnetism, Magnetism and Matter, Electromagnetic Induction & Alternating Current, Electromagnetic Induction, Alternating Current, Electromagnetic Waves, Dual Nature of Radiation and Matter, Atoms & Nuclei, Semiconductor Electronics, Communication Systems.

**Few sample questions from the Practice Paper are given below:**

**Question:**

The electric field at a point is

(a) Always continuous

(b) Continuous if there is no charge at that point

(c) Discontinuous only if there is a negative charge at that point

(d) Continuous if there is a charge at that point

**Sol. (b) **

The electric field due to a charge *Q* at a point in space may be defined as the force that a unit positive charge would experience if placed at that point. Thus, electric field due to the charge *Q* will be continuous, if there is no charge at that point. It will be discontinuous if there is a charge at that point.

**Question:**

An astronomical refractive telescope has an objective of focal length 20m and an eyepiece of focal length 2 cm

(a) The length of the telescope tube is 20 m

(b) The magnification is 100

(c) The image formed is inverted

(d) An objective of a larger aperture will increase the brightness and reduce chromatic aberration of the image

**Sol. (c)**

The length of the telescope tube is *f _{o} + f_{e} = *20 + (0.02) = 20.02 m

Also,* m *= 20/0.02 = 1000

Also, the image formed is inverted.

** **

**Chemistry **

In this section the questions have been taken from the different topics like Basic Concepts of Chemistry, Structure of Atom, Classification of Elements & Periodicity in Properties, Chemical Bonding and Molecular Structure, Thermodynamics, Equilibrium, Redox Reactions, Hydrocarbons, Solid State, Solutions, Electrochemistry, Chemical Kinetics, Surface Chemistry, Isolation of Elements, Coordination Compounds, Haloalkanes and Haloarenes, Alcohols, Phenols and Ethers, Aldehydes, Ketones and Carboxylic Acids, Organic Compounds containing Nitrogen, Biomolecules, Polymers.

**Few sample questions from the Practice Paper are given below:**

**Question:**

In S_{N}2 reactions, the correct order of reactivity for the following compounds CH_{3}Cl, CH_{3}CH_{2}Cl, (CH_{3})_{2 }CHCl and (CH_{3})_{3}CCl is

(a) CH_{3}Cl > (CH_{3})_{2}CHCl > CH_{3}CH_{2}Cl > (CH_{3})_{ 3}CCl

(b) CH_{3}CI > CH_{3}CH_{2} CI > (CH_{3})_{2} CHCl > (CH_{3})_{3}CCl

(c) CH_{3}CH_{2}Cl > CH_{3}Cl > (CH_{3})_{2}CHCl > (CH_{3})_{ 3}CCl

(d) (CH_{3})_{2}CHCI > CH_{3}CH_{2}Cl > CH_{3}Cl > (CH_{3})_{3}CCl

**Sol. (b)**

In S_{N}2 reactions, the order of reactivity is followed as:

Primary halide > Secondary halide > Tertiary halide

So, the order of reactivity of the given compound is followed as:

CH_{3}CI > CH_{3}CH_{2} CI > (CH_{3})_{2} CHCl > (CH_{3})_{3}CCl

**Question:**

Which of the following compounds is detected by Molisch’s test?

(a) Sugars

(b) Amines

(c) Primary alcohols

(d) Nitro compounds

**Sol. (a)**

Molisch's test is a confirmatory test for carbohydrates or sugar. A few drops of alcoholic solution of are added to a carbohydrate solution. Then 1 ml of concentrated sulphuric acid is added from the sides of the test tube. Appearance of violet ring at the junction of two liquids confirms the presence of carbohydrate or sugar.

** **

**Mathematics**

There are 30 questions in this practice paper from different topics like Relations and Functions, Trigonometric Functions, Complex Numbers and Quadratic Equations, Permutations and Combinations, Binomial Theorem, Sequences and Series, Straight Lines, Limits and Derivatives, Probability, Inverse Trigonometric Functions, Matrices, Determinants, Continuity and Differentiability, Application of Derivatives, Integrals, Application of Integrals, Differential Equations, Vector Algebra, Three Dimensional Geometry.

**Few sample questions from the Practice Paper are given below: **

**Question:**

For the curve *y* = 4*x*^{3} − 2*x*^{5}, find all the points at which the tangents passes through the origin.

(a) (0, 0), (1, 2), and (1, −2)

(b) (0, 0), (1, 2), and (−1, −2)

(c) (0, 0), (1, 2), and (−1, 2)

(d) (0, 0), (1, −2), and (−1, −2)

**Sol.(b)**

**Question:**

The slope of the line touching both the parabolas *y*^{2} = 4*x* and *x*^{2} = −32*y* is

(a) 1/2

(b) 3/2

(c) 1/8

(d) 2/3

**Sol. (b) **

** **

**Conclusion: **

The main objective of this practice paper is to help students to assess their preparation and time management skills. Students can improve their knowledge by practicing new set of questions from the complete syllabus of Chemistry, Physics and Mathematics.

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