JEE Main Preparation Resources for Competitive Exams

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JEE Main MCQ & Objective Questions

The JEE Main exam is a crucial step for students aspiring to enter prestigious engineering colleges in India. It tests not only knowledge but also the ability to apply concepts effectively. Practicing MCQs and objective questions is essential for scoring better, as it helps in familiarizing students with the exam pattern and enhances their problem-solving skills. Engaging with practice questions allows students to identify important questions and strengthen their exam preparation.

What You Will Practise Here

Fundamental concepts of Physics, Chemistry, and Mathematics
Key formulas and their applications in problem-solving
Important definitions and theories relevant to JEE Main
Diagrams and graphical representations for better understanding
Numerical problems and their step-by-step solutions
Previous years' JEE Main questions for real exam experience
Time management strategies while solving MCQs

Exam Relevance

The topics covered in JEE Main are not only significant for the JEE exam but also appear in various CBSE and State Board examinations. Many concepts are shared with the NEET syllabus, making them relevant across multiple competitive exams. Common question patterns include conceptual applications, numerical problems, and theoretical questions that assess a student's understanding of core subjects.

Common Mistakes Students Make

Misinterpreting the question stem, leading to incorrect answers
Neglecting units in numerical problems, which can change the outcome
Overlooking negative marking and not managing time effectively
Relying too heavily on rote memorization instead of understanding concepts
Failing to review and analyze mistakes from practice tests

FAQs

Question: How can I improve my speed in solving JEE Main MCQ questions?
Answer: Regular practice with timed quizzes and focusing on shortcuts can significantly enhance your speed.

Question: Are the JEE Main objective questions similar to previous years' papers?
Answer: Yes, many questions are based on previous years' patterns, so practicing them can be beneficial.

Question: What is the best way to approach JEE Main practice questions?
Answer: Start with understanding the concepts, then attempt practice questions, and finally review your answers to learn from mistakes.

Now is the time to take charge of your preparation! Dive into solving JEE Main MCQs and practice questions to test your understanding and boost your confidence for the exam.

Chemistry Syllabus (JEE Main) Mathematics Syllabus (JEE Main) Physics Syllabus (JEE Main)

Q. In how many ways can 3 red, 2 blue, and 1 green balls be arranged in a line?

A. 60
B. 120
C. 30
D. 10

Solution

The total arrangements = 6! / (3! * 2! * 1!) = 60.

Correct Answer: B — 120

Q. In how many ways can 4 different books be chosen from a shelf of 10 books?

A. 210
B. 120
C. 240
D. 300

Solution

The number of ways to choose 4 books from 10 is C(10, 4) = 210.

Correct Answer: A — 210

Q. In how many ways can 4 different books be selected from a shelf of 10 books?

A. 210
B. 120
C. 240
D. 300

Solution

The number of ways to choose 4 books from 10 is C(10,4) = 210.

Correct Answer: A — 210

Q. In how many ways can 4 different colored balls be arranged in a line?

A. 16
B. 24
C. 32
D. 48

Solution

The number of arrangements is 4! = 24.

Correct Answer: B — 24

Q. In how many ways can 4 different colored balls be placed in 3 different boxes?

A. 81
B. 64
C. 27
D. 12

Solution

Each ball can go into any of the 3 boxes, so the total ways = 3^4 = 81.

Correct Answer: A — 81

Q. In how many ways can 4 different prizes be awarded to 3 students?

A. 12
B. 24
C. 36
D. 48

Solution

The number of ways is P(4, 3) = 4! / 1! = 24.

Correct Answer: C — 36

Q. In how many ways can 4 different prizes be distributed among 3 students?

A. 81
B. 64
C. 27
D. 12

Solution

Each prize can go to any of the 3 students, so the total ways = 3^4 = 81.

Correct Answer: A — 81

Q. In how many ways can 4 students be selected from a group of 10?

A. 210
B. 120
C. 240
D. 300

Solution

The number of ways to select 4 students from 10 is C(10,4) = 210.

Correct Answer: A — 210

Q. In how many ways can 5 different colored balls be arranged in a box?

A. 60
B. 120
C. 100
D. 80

Solution

The number of arrangements is 5! = 120.

Correct Answer: B — 120

Q. In how many ways can 5 different flags be arranged on a pole?

A. 120
B. 60
C. 30
D. 24

Solution

The number of arrangements of 5 different flags is 5! = 120.

Correct Answer: A — 120

Q. In how many ways can 5 different items be selected from 10 items?

A. 252
B. 120
C. 200
D. 300

Solution

The number of ways to select 5 items from 10 is C(10, 5) = 252.

Correct Answer: A — 252

Q. In how many ways can 5 different objects be selected from 10 objects?

A. 252
B. 120
C. 10
D. 100

Solution

The number of ways to select 5 objects from 10 is 10C5 = 10! / (5! * 5!) = 252.

Correct Answer: A — 252

Q. In how many ways can 6 different objects be selected and arranged in a line?

A. 720
B. 600
C. 840
D. 960

Solution

The number of arrangements of 6 different objects is 6! = 720.

Correct Answer: A — 720

Q. In how many ways can 6 people be divided into 2 groups of 3?

A. 20
B. 30
C. 10
D. 15

Solution

The number of ways to divide 6 people into 2 groups of 3 is 6! / (3! * 3! * 2!) = 20.

Correct Answer: A — 20

Q. In how many ways can 7 different items be selected and arranged in a line?

A. 5040
B. 720
C. 40320
D. 10080

Solution

The number of arrangements of 7 different items is 7! = 5040.

Correct Answer: C — 40320

Q. In how many ways can 7 different objects be arranged in a circle?

A. 720
B. 5040
C. 7200
D. 600

Solution

The number of arrangements in a circle is (n-1)! = 6! = 720.

Correct Answer: B — 5040

Q. In how many ways can the letters of the word 'LEVEL' be arranged?

A. 60
B. 30
C. 20
D. 40

Solution

The word 'LEVEL' has 5 letters with 'L' and 'E' repeating. The arrangements = 5! / (2! * 2!) = 30.

Correct Answer: B — 30

Q. In molecular orbital theory, which of the following orbitals is filled first?

A. σ2s
B. σ*2s
C. π2p
D. σ2p

Solution

According to the Aufbau principle, the σ2s orbital is filled first before any other orbitals.

Correct Answer: A — σ2s

Q. In molecular orbital theory, which of the following orbitals is the highest energy in O2?

A. σ2p
B. π2p
C. σ2s
D. π2s

Solution

In O2, the π2p orbitals are the highest energy orbitals.

Correct Answer: B — π2p

Q. In molecular orbital theory, which of the following statements is correct regarding the energy levels of orbitals?

A. σ orbitals are always lower than π orbitals.
B. π orbitals are always lower than σ orbitals.
C. σ* orbitals are always higher than π* orbitals.
D. Energy levels can vary based on the atoms involved.

Solution

The energy levels of molecular orbitals can vary depending on the specific atoms and their electronegativities.

Correct Answer: D — Energy levels can vary based on the atoms involved.

Q. In nuclear fission, what is released apart from energy?

A. Neutrons
B. Protons
C. Electrons
D. Photons

Solution

Nuclear fission releases neutrons along with a significant amount of energy.

Correct Answer: A — Neutrons

Q. In nuclear fission, what is the primary product of the reaction?

A. Helium
B. Neutrons
C. Protons
D. Alpha particles

Solution

In nuclear fission, the primary products are neutrons, which can further induce fission in nearby nuclei.

Correct Answer: B — Neutrons

Q. In nuclear fission, what is the primary product?

A. Helium
B. Neutrons
C. Protons
D. Alpha particles

Solution

Nuclear fission primarily produces neutrons along with other fission products.

Correct Answer: B — Neutrons

Q. In nuclear fission, what is typically released as a result of the reaction?

A. Energy and neutrons
B. Energy and protons
C. Neutrons and electrons
D. Protons and energy

Solution

Nuclear fission releases a significant amount of energy and additional neutrons, which can induce further fission reactions.

Correct Answer: A — Energy and neutrons

Q. In nuclear fusion, what is typically required to overcome the repulsion between nuclei?

A. High temperature and pressure
B. Low temperature and pressure
C. Magnetic fields
D. Chemical reactions

Solution

Nuclear fusion requires high temperature and pressure to overcome the electrostatic repulsion between positively charged nuclei.

Correct Answer: A — High temperature and pressure

Q. In nuclear reactions, what is the term for the energy required to remove a nucleon from the nucleus?

A. Ionization energy
B. Binding energy
C. Dissociation energy
D. Activation energy

Solution

The binding energy is the energy required to remove a nucleon from the nucleus, reflecting the stability of the nucleus.

Correct Answer: B — Binding energy

Q. In optical fibers, total internal reflection is utilized. What is the primary reason for this?

A. To increase the speed of light.
B. To minimize loss of light.
C. To change the color of light.
D. To focus light.

Solution

Total internal reflection in optical fibers minimizes the loss of light as it allows light to be guided through the fiber with minimal attenuation.

Correct Answer: B — To minimize loss of light.

Q. In rolling motion, which type of energy is associated with the rotation of the object?

A. Translational kinetic energy
B. Rotational kinetic energy
C. Potential energy
D. Elastic potential energy

Solution

Rotational kinetic energy is associated with the rotation of the object in rolling motion.

Correct Answer: B — Rotational kinetic energy

Q. In simple harmonic motion, the acceleration is maximum when the displacement is:

A. Maximum
B. Zero
C. Negative maximum
D. None of the above

Solution

In SHM, acceleration is maximum at maximum displacement (A).

Correct Answer: A — Maximum

Q. In simple harmonic motion, the acceleration of the particle is maximum when it is at which position?

A. Mean position
B. Amplitude
C. Halfway to amplitude
D. None of the above

Solution

In SHM, acceleration is maximum at the amplitude (maximum displacement).

Correct Answer: B — Amplitude

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