**JEE Main Practice Paper with Solutions**

Class 12^{th} students work hard for the board exam and along with that they put in hours to crack the** JEE Main Sample paper 2016** , which is one of the toughest exam conducted by **CBSE** for all the **IITs, NITs, IIITs** and other Centrally Funded Technical Institutions. In 2016 the number of candidates who sit for the **JEE Main** are expected to reach around **15 lakhs** which would be an increase of **2 lakh** from the previous year. Top 2 lakh candidates of **JEE Main** **2016** are eligible to appear for **JEE Advanced 2016 **, which is the second stage of entrance test for admissions to** IITs** and **ISM**.

**JEE Main 2016 examination** will be held on **3rd April 2016** (Pen Paper Based) and **9th-10th April 2016** (Computer Based Test). **JEE Main 2016** shall have two papers, Paper-1 (B.E. / B. Tech.) and Paper-2(B. Arch./ B. Planning). The Paper-1 (B.E./B. Tech.) will be conducted in two separate modes i.e. Offline (Pen and Paper Based Examination) mode and Online (Computer Based Examination) mode. The Paper-2 (B. Arch./B. Planning.) of JEE (Main) will be conducted only in Pen and Paper based examination mode.

To **prepare for JEE Main 2016** one needs to prepare with all types of questions that can appear in the examination. Tough Questions relating to **Mathematics, Physics and Chemistry** are provided below which would test the candidate skill level.

Test whether you would clear JEE Main 2016 examination. **JEE Main Mock Questions** to Test Your Skills…

## JEE Main Sample Papers **with Solution**

### JEE Main Sample Quiz Test Physics –

**Q1. Assuming that about 200 MeV energy is released per fission of _{92}U^{235} nuclei, what would be the mass of U^{235} consumed per day in the fission of reactor of power 1 MW approximately?**

- A. 10 kg
- B. 100 kg
- C. 1 g
- D.

**Q2. Two cells of e.m.f.s 1.5 V and 2.0 V and internal resistances 2 ohm and 1 ohm respectively have their negative terminals joined by a wire of 6 ohm and positive terminals by a wire of 7 ohm resistance. A third resistance wire of 8 ohm connects middle points of these wires. Find the potential difference at the end of the third wire.**

- A. 2.25 V
- B. 1.36 V
- C. 1.26 V
- D. 2.72 V

**Q3. An inductance of (100/π) mH, a capacitance of F and a resistance of 6.75 Ω are connected in series with an AC source 220 V, 40 Hz. The phase angle of the circuit is**

- A. π/2
- B. π/3
- C. π/4
- D. π/6

**Q4. Six charges are placed at the corner of a regular hexagon as shown. If an electron is placed at its centre O, then the force on it will be :**

- A. Zero
- B. Along OF
- C. Along OC
- D. None of these

**Q5. A coil of inductance 8.4 mH and resistance 6 Ω is connected to a 12 V battery. The current in the coil is 1.0 A at approximately the time**

- A. 500 s
- B. 20 s
- C. 35 s
- D. 1 s

**Q6. A photon of energy and momentum collides with an electron at rest. After the collision, the scattered electron and the scattered photon each make an angle of 45° with the initial direction of motion. The ratio of frequency of scattered and incident photon is**

- A. √2
- B. √2 – 1
- C. 2
- D. 1/√2

**Q7. Two spherical soap bubbles of radii R _{1} and R_{2} combine under isothermal condition to form a single bubble. The radius of the resultant bubble is**

- A.
- B.
- C.
- D.

**JEE Main Sample Quick Test Chemistry –**

**Q8. Which of the following statements is incorrect?**

- A. Sublimation energy of Li is highest in alkali group.
- B. Lattice energy of CsCl is less than KCl.
- C. Lattice energy depends on electrostatic attraction between ions.
- D. Ionization energy of K is less than Cs.

**Q9. The compound ‘X’ in the sequence of the reactions is**

**Q10. Benzene reacts with CH _{3}Cl in presence of anh. AlCl_{3} and forms a compound (A). This on partial oxidation in presence of CrO_{2}Cl_{2} and CS_{2} forms a compound (B). The compound (B) reacts with acetic anhydride in presence of sodium acetate to form (C). Identify the compound “C”.**

**Q11. A carbohydrate contains five alcoholic group. Out of which one is primary group and four are secondary groups. It reacts with acetic anhydride to form pentaacetate. If the mol. wt of carbohydrate is 180 then the mol. wt of pentaacetate will be**

- A. 210
- B. 395
- C. 390
- D. 410

- A. 1.5
- B. 2.0
- C. 2.5
- D. 3.0

**Q13. What is the product in the reaction **

- A. Acetaldehyde
- B. Propanal
- C. Acetic acid
- D. Propanoic acid

**JEE Main Sample Quick Test Mathematics –**

**Q14. If x ∈ (0, 7π/2) and , then f has**

- A. local maximum at π/2 and local minimum of 3π/2
- B. local minimum at π/2 and local maximum at 3π/2
- C. local maximum at 3π/2
- D. local minimum at π/2

**Q15. S – 1 – If sin**

^{2}θ_{1}+ sin^{2}θ_{2}+ …… + sin^{2}θ_{n}= 0, then the different sets of values of (θ_{1}, θ_{2}……θ_{n}) for which cos θ_{1}+ cos θ_{2}+ ….. + cos θ_{n}= n – 4 is n(n – 1).**S – 2 – If sin**

^{2}θ_{1}+ sin^{2}θ_{2}+ …… + sin^{2}θ_{n}= 0, then cos θ_{1}.cos θ_{2}. ….. cos θ_{n}= ± 1- A. Both the statements are true & S – 2 is the correct explanation of S – 1
- B. Both the statements are true but S – 2 is not the correct explanation of S −1
- C. S – 1 is true and S – 2 false
- D. S – 1 is false and S – 2 is true

**Q17. The eccentricity of the conjugate hyperbola of the hyperbola x ^{2} – 3y^{2} = 1 is**

- A. 2
- B. 2/√3
- C. 2/√3
- D. 4/5

**Q18. If x ^{2} + 3x + 5 = 0 & ax^{2} + bx + c = 0 have a root in common, a, b, c ϵ N, then least value of a + b + c is**

- A. 3
- B. 6
- C. 9
- D. 12

**Q19. Consider circles x ^{2} + y^{2} – 4x – 6y − 8 = 0 & x^{2} + y^{2} – 2x – 3 = 0**

**S -1− Both the circles intersect each other at two distinct points.**

**S-2−Sum of two radii of the circles is greater than distance between centres of circles.**

- A. Both the statements are true & S – 2 is the correct explanation of S – 1
- B. Both the statements are true but S – 2 is not the correct explanation of S −1
- C. S – 1 is true and S – 2 false
- D. S – 1 is false and S – 2 is true

**Q20. If f be any one of the six trigonometric functions. Let A, B ∈ R satisfying f(2A) = f(2B)**

**S -1 − A = nπ + B, ∀ n ∈ R**

**S -2 − 2π is one of the period of f.**

- A. Both the statements are true & S – 2 is the correct explanation of S – 1
- B. Both the statements are true but S – 2 is not the correct explanation of S −1
- C. S – 1 is true and S – 2 false
- D. S – 1 is false and S – 2 is true

**Answer Key** –

**1.B ****2.C ****3.C ****4.D ****5.D ****6.D ****7.A ****8.D ****9.C ****10.A ****11.C ****12.D ****13.D ****14.A ****15.D ****16.A ****17.A ****18.C ****19.B ****20.B**

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