There is only one month left for JEE Main 2018 which is scheduled to be held on **April 8, 2018** in offline mode while computer based test will be conducted on **April 15** and **16, 2018**. Students should get familiar with the pattern before appearing for the examination. On the basis of pattern of the question paper, Students can make strategy to attempt the paper.

Find JEE Main Solved Practice Paper based on the latest pattern and syllabus of the examination.

**About the paper:**

1. There are 90 questions in this practice paper (30 from each subject i.e., Physics, Chemistry and Mathematics).

2. Each question has four options out of which only one is correct.

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

4. Zero marks will be awarded for any unattempted question.

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

By practicing the paper, students can get the following benefits:

- Good idea about the different verities of questions
- Good idea to guess the answer
- Enough practice to fill the OMR sheet and finally
- Time management

**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 and Chemistry in Everyday Life.

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

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**Question:**

Dissolving 120 g of urea (mol. wt. 60) in 1000 g of water gave a solution of density 1.15 g/mL. The molarity of the solution is

(a) 1.78 M

(b) 2.00 M

(c) 2.05 M

(d) 2.22 M

**Sol. (a)**

**Question:**

Which among the following is the most reactive?

(a) Cl_{2}

(b) Br_{2}

(c) I_{2}

(d) ICl

**Sol. (d)**

Cl_{2}, Br_{2} and I_{2} are homonuclear diatomic molecular in which electronegativity of the combining atoms is same, so they are more stable and less reactive, whereas, I and Cl have different electronegativities and bond between them are polarized and reactive. Therefore, interhalogen compound are more reactive.

** **

**Physics**

Here, you will get questions from the topics 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:**

A scooter going to the east at 10 m/s turns right through an angle of 90°. If the speed of the scooter remains unchanged in taking this turn, the change in the velocit*y *of the scooter is

(a) 20 m/s in south-west direction

(b) zero

(c) 10.0 m/s in south direction

(d) 14.14 m/s in south-western direction

**Sol. (d) **

**Question:**

A point moves with uniform acceleration and *v*_{1}, *v*_{2} and *v*_{3} denote the average velocities in the three successive intervals of time *t*_{1}, *t*_{2}* *and *t*_{3}. Which of the following relation is correct?

(a) (*v*_{1} *-* *v*_{2}):(*v*_{2} - *v*_{3}) = (*t*_{1} - *t*_{2}):(*t*_{2} + *t*_{3})

(b) (*v*_{1} *-* *v*_{2}):(*v*_{2} - *v*_{3}) = (*t*_{1} + *t*_{2}):(*t*_{2} + *t*_{3})

(c) (*v*_{1} *-* *v*_{2}):(*v*_{2} - *v*_{3}) = (*t*_{1} - *t*_{2}):(*t*_{1} - *t*_{3})

(d) (*v*_{1} *-* *v*_{2}):(*v*_{2} - *v*_{3}) = (*t*_{1} - *t*_{2}):(*t*_{2} - *t*_{3})

**Sol. (b) **

** **

**Mathematics**

Students can score maximum marks in Mathematics only if they prepare well for it. It is one of the most scoring subjects among three. The marking scheme and number of questions are exactly same as other section of the sample paper. 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:**

If the equation *kx*^{2}* + lx + **m* = 0 and *x*^{3}* + 3x*^{2}+ 3*x* + 2 = 0 have two common roots, then

(a) *k = l* ≠ *m*

(b) *k ≠ l = m*

(c) *k = l = m*

(d) *k = **-** l = m*

**Sol. ( c) **

Since given equations have two common roots therefore they must be imaginary roots.

**Question:**

**Sol. (c) **

** **

**Conclusion:**

The main objective of this practice paper is to help students in assessing their preparation and time management skills. It will help students to maintain speed and accuracy in the examination.

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