JEE Main Model Questions with Solutions - Download PDF

The JEE Main model questions comprise all the crucial topics from Physics, Chemistry and Maths. These model questions can be expected in the JEE Mains. Practising the model questions will help the students remain acquainted with the trend of questions, thus helping them to score good marks in the exam.

JEE Main 2024 is taking place in two sessions: Session 1 was conducted from Jan 24 to Feb 1, 2024, while Session 2 is scheduled to be conducted from Apr 4 to Apr 15, 2024.

The candidates must keep themselves thorough with the JEE Main syllabus and keep practising the model questions for the exam.

Also Check: JEE Main MCQ Questions with Solutions - Download PDF

Top 20 JEE Main Model Questions with Solutions - Download PDF

The PDF link contains all the essential questions from subjects (physics, chemistry, and mathematics) and can be downloaded by clicking on the link.

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The Top 20 JEE Main Model Questions with Solutions

The Top 20 JEE Main model questions with answers are mentioned below, and students can practise them to get an idea of all the essential questions from all the subjects:

Q1. The equations of two equal sides of an isosceles triangle are 7x − y + 3 = 0 and x + y − 3 = 0, and the third side passes through the point (1, -10). The equation of the third side is 

Ans. 0

Q2. The compound formed by heating chlorobenzene with chloral in the presence of concentrated sulphuric acid is (2004)

1) gammexane 2) hexachloroethane

3) Freon 4) DDT

Ans. Dichlorodiphenyltrichloroethane.

Q3. If the sum of the distances of a point from two perpendicular lines in a plane is 1, then its locus is 

Ans. 1

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Q4. A variable line passes through a fixed point P. If the algebraic sum of the perpendicular drawn from (2, 0), (0, 2), and (1, 1) on the line is zero, then what are the coordinates of the P?

Ans. P(1, 1)

Q5. The points (1, 3) and (5, 1) are the opposite vertices of a rectangle. The other two vertices lie on the line y = 2x + c, then the value of c will be

Ans. C= -4

Q6. A closed vessel contains a mixture of two diatomic gases, A and B. The Molar mass of A is 16 times that of B, and the mass of gas A contained in the vessel is 2 times that of B. Which of the following statements is incorrect?

(a) Average kinetic energy per molecule of A is equal to that of B

(b) Root mean square value of translational velocity of B is four times that of A

(c) Pressure exerted by B is four times that exerted by A

(d) The number of molecules of B in the cylinder is eight times that of A

Ans. C

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Q7. If the slope of a line passing through point A (3, 2) is 3/4, then the points on the line which are 5 units away from A, are

Ans. (-1, -1) and (7, 5)

Q8. Which one of the following has the minimum boiling point? (2004)

1) n-butane 2) isobutane

3) 1-butene 4) 1-butyne

Ans. 2 Lower Waan Der Waals forces.

Q9. A letter lock consists of three rings, each marked with ten letters. In how many ways is it possible to make an unsuccessful attempt to open the lock?

Ans. 999

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Q10. The length of an elastic spring is a metre when a force of 4 N is applied and b metres when the 5 N force is applied. Then, the length of the spring when the 9 N force is applied is

(a) a + b (b) 9b – 9a (c) 5b – 4a (d) 4a – 5b

Ans. C

Q11. Is the total number of positive integral solutions for x, y, z such that x* y * z = 24?

Ans. 30

Q12. Which of the following is reduced with zinc and hydrochloric acid to give the corresponding hydrocarbon?

1) Ethyl acetate 2) Butan-2-one

3) Acetamide 4) Acetic acid

Ans. 2 Total reduction of carbonyl.

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Q13. Find the total number of signals that can be made by five flags of a different colour when any number of them may be used in any signal.

Ans. 30

Q14. At what minimum kinetic energy must a hydrogen atom move for its inelastic head-on collision with another stationary hydrogen atom so that one of them emits a photon? Both atoms should be in the ground state before the collision.

(a) 20.4 eV (b) 36.3 eV

(c) 108.8 eV (d) 122.4 eV

Ans A

Q15: Two numbers are chosen from 1, 3, 5, 7,… 147, 149 and 151 and multiplied together in all possible ways. What number of ways will give the product a multiple of 5?

Ans. 1020

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Q16. RNA is different from DNA because RNA contains

(1)ribose sugar and thymine

(2)ribose sugar and uracil

(3)deoxyribose sugar and thymine

(4)deoxyribose sugar and uracil

Ans. 2 RNA has ribose sugar and uracil base.

Q17. Assuming the balls are identical except for the difference in colours, what are the number of ways one or more balls can be selected from 10 white, 9 green, and 7 black balls?

Ans. 879

Q18. The length of a given cylindrical wire is increased by 100%. Due to the consequent decrease in diameter, the change in the resistance of the wire will be

(a) 200% (b) 100% (c) 50% (d) 300%

Ans. D

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Q19. An n-digit number is a positive number with exactly n digits. Nine hundred distinct n-digit numbers will be formed using only the three digits 2, 5 and 7. What is the smallest value of n for which this is possible?

Ans. n=7 

Q20. Polymer formation from monomers starts by (2002)

(1)condensation reaction between monomers

(2)coordinate reaction between monomers

(3)conversion of monomer to monomer ions by protons 

(4)hydrolysis of monomers

Ans. 1 Polymerisation starts either by condensation or addition reactions between monomers.

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JEE Main 2024 Exam Pattern

JEE main exam pattern, as stated by NTA, will remain the same for the year 2024 and will contain a total of 90 questions, 30 questions each, from physics, chemistry, and mathematics subjects.

• In each of the sections of 30 questions, 20 will be multiple choice questions, and the 10 questions will contain numerical value answers.
• The total score will be 300 marks.

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