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. If a 5 kg object is in free fall, what is the force acting on it due to gravity?

A. 5 N
B. 10 N
C. 50 N
D. 15 N

Solution

The force due to gravity F = mg = 5 kg * 10 m/s² = 50 N.

Correct Answer: C — 50 N

Q. If a 5 kg object is lifted to a height of 10 m, what is the potential energy gained by the object? (g = 9.8 m/s²)

A. 490 J
B. 980 J
C. 245 J
D. 2450 J

Solution

Potential Energy = mass × g × height = 5 kg × 9.8 m/s² × 10 m = 490 J.

Correct Answer: B — 980 J

Q. If a 5 kg object is lifted to a height of 10 m, what is the work done against gravity? (g = 9.8 m/s²)

A. 49 J
B. 98 J
C. 490 J
D. 980 J

Solution

Work done = mgh = 5 kg × 9.8 m/s² × 10 m = 490 J.

Correct Answer: C — 490 J

Q. If a 5 kg object is lifted to a height of 10 m, what is the work done against gravity?

A. 50 J
B. 100 J
C. 150 J
D. 200 J

Solution

Work done = mgh = 5 kg × 9.8 m/s² × 10 m = 490 J.

Correct Answer: D — 200 J

Q. If a 5 kg object is subjected to a force of 20 N, what is its acceleration?

A. 2 m/s²
B. 4 m/s²
C. 5 m/s²
D. 10 m/s²

Solution

Using F = ma, acceleration a = F/m = 20 N / 5 kg = 4 m/s².

Correct Answer: B — 4 m/s²

Q. If a 5 ohm resistor and a 10 ohm resistor are connected in series, what is the voltage across the 10 ohm resistor when a current of 2 A flows through the circuit?

A. 10 V
B. 20 V
C. 5 V
D. 15 V

Solution

Voltage across the 10 ohm resistor, V = I * R = 2 A * 10 Ω = 20 V.

Correct Answer: B — 20 V

Q. If a 5 ohm resistor is connected to a 10V battery, what is the energy consumed in 2 minutes?

A. 60 J
B. 120 J
C. 240 J
D. 30 J

Solution

Power P = V^2/R = 10^2 / 5 = 20 W. Energy = Power * time = 20 W * 120 s = 2400 J.

Correct Answer: B — 120 J

Q. If a 5 ohm resistor is connected to a 10V battery, what is the energy consumed in 2 seconds?

A. 10 J
B. 20 J
C. 5 J
D. 15 J

Solution

Power P = V^2 / R = 10^2 / 5 = 20 W. Energy = Power * time = 20 W * 2 s = 40 J.

Correct Answer: B — 20 J

Q. If a 5Ω resistor is connected in parallel with a 10Ω resistor, what is the equivalent resistance?

A. 3.33Ω
B. 5Ω
C. 7.5Ω
D. 15Ω

Solution

R_eq = 1/(1/5 + 1/10) = 3.33Ω.

Correct Answer: A — 3.33Ω

Q. If a 6 kg object is subjected to a net force of 24 N, what is its acceleration?

A. 4 m/s²
B. 6 m/s²
C. 8 m/s²
D. 10 m/s²

Solution

Using F = ma, acceleration a = F/m = 24 N / 6 kg = 4 m/s².

Correct Answer: A — 4 m/s²

Q. If a 60W bulb operates at 120V, what is the resistance of the bulb?

A. 240 ohms
B. 120 ohms
C. 60 ohms
D. 30 ohms

Solution

Using P = V^2 / R, R = V^2 / P = (120V)^2 / 60W = 240 ohms.

Correct Answer: B — 120 ohms

Q. If a 60W light bulb operates at 120V, what is the resistance of the bulb?

A. 240 ohms
B. 120 ohms
C. 60 ohms
D. 30 ohms

Solution

Power (P) = V^2 / R, so R = V^2 / P = (120V)^2 / 60W = 240 ohms.

Correct Answer: B — 120 ohms

Q. If a 6V battery is connected to a circuit with a total resistance of 3 ohms, what is the current flowing through the circuit?

A. 1A
B. 2A
C. 3A
D. 4A

Solution

Using Ohm's law, I = V/R = 6V / 3 ohms = 2A.

Correct Answer: B — 2A

Q. If a 6Ω resistor is connected to a 9V battery, what is the power dissipated by the resistor?

A. 6W
B. 9W
C. 12W
D. 15W

Solution

Power P = V^2 / R = (9V)^2 / 6Ω = 81 / 6 = 13.5W.

Correct Answer: C — 12W

Q. If a 9V battery is connected to a 3Ω resistor, what is the power consumed by the resistor?

A. 3W
B. 9W
C. 27W
D. 1W

Solution

Power P = V^2/R = (9V)^2 / 3Ω = 81/3 = 27W.

Correct Answer: B — 9W

Q. If A = (1, 0) and B = (0, 1), what is the angle between them?

A. 0 degrees
B. 90 degrees
C. 45 degrees
D. 180 degrees

Solution

Angle = cos⁻¹((A·B) / (|A||B|)) = cos⁻¹(0) = 90 degrees

Correct Answer: B — 90 degrees

Q. If A = (1, 0, -1) and B = (0, 1, 1), what is the scalar product A · B?

A. 0
B. 1
C. -1
D. 2

Solution

A · B = 1*0 + 0*1 + (-1)*1 = 0 + 0 - 1 = -1.

Correct Answer: A — 0

Q. If A = (1, 0, 0) and B = (0, 1, 0), what is the value of A · B?

A. 0
B. 1
C. 2
D. 3

Solution

A · B = 1*0 + 0*1 + 0*0 = 0.

Correct Answer: A — 0

Q. If A = (1, 0, 0) and B = (0, 1, 0), what is the vector product A × B?

A. (0, 0, 1)
B. (1, 0, 0)
C. (0, 1, 0)
D. (0, 0, 0)

Solution

A × B = (0, 0, 1) using the right-hand rule.

Correct Answer: A — (0, 0, 1)

Q. If A = (1, 1, 1) and B = (1, 1, 1), what is the scalar product A · B?

A. 1
B. 2
C. 3
D. 4

Solution

A · B = 1*1 + 1*1 + 1*1 = 3.

Correct Answer: C — 3

Q. If A = (1, 1, 1) and B = (2, 2, 2), what is A × B?

A. (0, 0, 0)
B. (1, 1, 1)
C. (2, 2, 2)
D. (3, 3, 3)

Solution

A × B = (0, 0, 0) since A and B are parallel.

Correct Answer: A — (0, 0, 0)

Q. If A = (1, 1, 1) and B = (2, 2, 2), what is the scalar product A · B?

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

Solution

A · B = 1*2 + 1*2 + 1*2 = 2 + 2 + 2 = 6.

Correct Answer: B — 6

Q. If A = (1, 1, 1) and B = (x, y, z) such that A · B = 3, what is the value of x + y + z?

A. 1
B. 2
C. 3
D. 4

Solution

A · B = 1*x + 1*y + 1*z = x + y + z = 3.

Correct Answer: C — 3

Q. If A = (1, 2) and B = (3, 4), what is the dot product A · B?

A. 10
B. 11
C. 12
D. 8

Solution

Dot product A · B = 1*3 + 2*4 = 3 + 8 = 11.

Correct Answer: A — 10

Q. If A = (1, 2) and B = (3, 4), what is the midpoint M of AB?

A. (2, 3)
B. (1, 2)
C. (3, 4)
D. (4, 5)

Solution

Midpoint M = ((1+3)/2, (2+4)/2) = (2, 3).

Correct Answer: A — (2, 3)

Q. If A = (1, 2, 3) and B = (0, 1, 0), what is the direction of the vector product A × B?

A. (2, -3, 1)
B. (3, 0, -1)
C. (1, 0, -1)
D. (1, 3, 0)

Solution

A × B = (2, -3, 1) gives direction (2, -3, 1).

Correct Answer: B — (3, 0, -1)

Q. If A = (1, 2, 3) and B = (4, 5, 6), what is the magnitude of the vector product A × B?

A. 0
B. 1
C. 2√2
D. √14

Solution

Magnitude |A × B| = √(1^2 + 2^2 + 3^2) = √14.

Correct Answer: D — √14

Q. If A = (1, 2, 3) and B = (4, 5, 6), what is the value of A · B?

A. 32
B. 30
C. 28
D. 26

Solution

A · B = 1*4 + 2*5 + 3*6 = 4 + 10 + 18 = 32.

Correct Answer: B — 30

Q. If A = (1, 2, 3) and B = (k, k, k) are perpendicular, what is the value of k?

A. 1
B. 2
C. 3
D. 0

Solution

A · B = 1*k + 2*k + 3*k = 6k = 0. Thus, k = 0.

Correct Answer: D — 0

Q. If A = (1, 2, 3) and B = (x, y, z) are such that A · B = 0, what is the condition for x, y, z?

A. x + 2y + 3z = 0
B. x - 2y + 3z = 0
C. x + 2y - 3z = 0
D. x - 2y - 3z = 0

Solution

A · B = 1*x + 2*y + 3*z = 0 gives the condition x + 2y + 3z = 0.

Correct Answer: A — x + 2y + 3z = 0

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