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. Which of the following factors does NOT affect the surface tension of a liquid?

A. Temperature
B. Impurities
C. Density
D. Nature of the liquid

Solution

While temperature, impurities, and the nature of the liquid affect surface tension, density does not directly influence it.

Correct Answer: C — Density

Q. Which of the following factors does NOT affect the torque exerted by a force?

A. Magnitude of the force
B. Distance from the pivot
C. Angle of application
D. Mass of the object

Solution

The mass of the object does not affect the torque; torque depends on the force, distance from the pivot, and angle of application.

Correct Answer: D — Mass of the object

Q. Which of the following factors does NOT affect the torque produced by a force?

A. Magnitude of the force
B. Distance from the pivot
C. Angle of application
D. Mass of the object

Solution

The mass of the object does not affect the torque; torque depends on force, distance, and angle.

Correct Answer: D — Mass of the object

Q. Which of the following factors does NOT affect the vapor pressure of a liquid?

A. Temperature
B. Nature of the liquid
C. Surface area
D. Presence of impurities

Solution

Surface area does not significantly affect the vapor pressure of a liquid.

Correct Answer: C — Surface area

Q. Which of the following factors does NOT affect the vapor pressure of a solution according to Raoult's Law?

A. Nature of the solute
B. Temperature
C. Mole fraction of the solvent
D. Pressure of the system

Solution

Raoult's Law states that the vapor pressure is affected by the nature of the solute, temperature, and mole fraction of the solvent, but not by the pressure of the system.

Correct Answer: D — Pressure of the system

Q. Which of the following factors does NOT affect the viscosity of a fluid?

A. Temperature
B. Pressure
C. Density
D. Flow rate

Solution

Flow rate does not affect the viscosity of a fluid; viscosity is a property of the fluid itself.

Correct Answer: D — Flow rate

Q. Which of the following factors does NOT affect the viscosity of a liquid?

A. Temperature
B. Molecular weight
C. Pressure
D. Surface area

Solution

Surface area does not significantly affect the viscosity of a liquid.

Correct Answer: D — Surface area

Q. Which of the following fluids has the highest viscosity?

A. Water
B. Honey
C. Air
D. Olive oil

Solution

Honey has a higher viscosity compared to water, air, and olive oil due to its thicker consistency.

Correct Answer: B — Honey

Q. Which of the following fluids is likely to have the highest viscosity?

A. Water
B. Honey
C. Air
D. Gasoline

Solution

Honey has a much higher viscosity compared to water, air, and gasoline.

Correct Answer: B — Honey

Q. Which of the following functions is an even function?

A. f(x) = x^3
B. f(x) = x^2
C. f(x) = x + 1
D. f(x) = sin(x)

Solution

An even function satisfies f(-x) = f(x). Here, f(x) = x^2 is even.

Correct Answer: B — f(x) = x^2

Q. Which of the following functions is continuous at x = 2?

A. f(x) = 1/x
B. f(x) = x^2 - 4
C. f(x) = sin(1/x)
D. f(x) =
. x
.

Solution

f(x) = x^2 - 4 is a polynomial function and is continuous everywhere, including at x = 2.

Correct Answer: B — f(x) = x^2 - 4

Q. Which of the following functions is continuous at x = 2? f(x) = { x^2 - 4, x < 2; 3x - 6, x >= 2 }

A. Continuous
B. Not continuous
C. Depends on k
D. None of the above

Solution

At x = 2, f(2) = 0 and limit from left is 0, limit from right is also 0. Hence, it is continuous.

Correct Answer: A — Continuous

Q. Which of the following functions is continuous at x = 2? f(x) = { x^2, x < 2; 4, x = 2; 2x, x > 2 }

A. Continuous
B. Not continuous
C. Depends on k
D. None of the above

Solution

To check continuity at x = 2, we find the left limit (4), right limit (4), and f(2) (4). All are equal, so f(x) is continuous.

Correct Answer: A — Continuous

Q. Which of the following functions is continuous everywhere?

A. f(x) = 1/x
B. f(x) = x^2
C. f(x) = sin(x)
D. f(x) =
. x
.

Solution

f(x) = x^2 is a polynomial function and is continuous everywhere.

Correct Answer: B — f(x) = x^2

Q. Which of the following functions is differentiable at x = 1? f(x) = { x^2, x < 1; 2x - 1, x >= 1 }

A. f(1) = 1
B. f(1) = 0
C. f(1) = 2
D. f(1) = 3

Solution

Check continuity and differentiability at x = 1 by equating left and right derivatives.

Correct Answer: A — f(1) = 1

Q. Which of the following functions is differentiable everywhere?

A. f(x) =
B. x
C.
D. f(x) = x^2
. f(x) = sqrt(x)
. f(x) = 1/x

Solution

f(x) = x^2 is a polynomial and differentiable everywhere.

Correct Answer: B — x

Q. Which of the following functions is even?

A. f(x) = x^3
B. f(x) = x^2
C. f(x) = x + 1
D. f(x) = sin(x)

Solution

A function is even if f(-x) = f(x). Here, f(x) = x^2 is even.

Correct Answer: B — f(x) = x^2

Q. Which of the following functions is not a polynomial function?

A. f(x) = x^2 + 3x + 1
B. g(x) = 2x^3 - 4
C. h(x) = sqrt(x)
D. k(x) = 5

Solution

h(x) = sqrt(x) is not a polynomial function.

Correct Answer: C — h(x) = sqrt(x)

Q. Which of the following functions is not a polynomial?

A. f(x) = x^3 + 2x^2 - 5
B. g(x) = 1/x
C. h(x) = 4x - 7
D. k(x) = 2

Solution

g(x) = 1/x is not a polynomial because it has a negative exponent.

Correct Answer: B — g(x) = 1/x

Q. Which of the following functions is not continuous at x = 0?

A. f(x) = x^3
B. f(x) = e^x
C. f(x) = 1/x
D. f(x) = ln(x)

Solution

The function f(x) = 1/x is not defined at x = 0, hence it is not continuous there.

Correct Answer: C — f(x) = 1/x

Q. Which of the following functions is not continuous at x = 1?

A. f(x) = x^2
B. f(x) = 1/x
C. f(x) = sin(x)
D. f(x) = { x, x < 1; 2, x >= 1 }

Solution

The function has a jump discontinuity at x = 1, hence it is not continuous.

Correct Answer: D — f(x) = { x, x < 1; 2, x >= 1 }

Q. Which of the following functions is not continuous?

A. f(x) = x^2
B. f(x) = 1/x
C. f(x) = sin(x)
D. f(x) = e^x

Solution

f(x) = 1/x is not continuous at x = 0.

Correct Answer: B — f(x) = 1/x

Q. Which of the following functions is not differentiable at x = 0? f(x) = x^2 sin(1/x) for x ≠ 0 and f(0) = 0.

A. f(x)
B. g(x) =
C. x
D.
. h(x) = x^3
. k(x) = x^2

Solution

The function f(x) is not differentiable at x = 0 due to the oscillatory nature of sin(1/x) as x approaches 0.

Correct Answer: A — f(x)

Q. Which of the following functions is periodic?

A. f(x) = x
B. f(x) = cos(x)
C. f(x) = e^x
D. f(x) = ln(x)

Solution

The cosine function is periodic with a period of 2π.

Correct Answer: B — f(x) = cos(x)

Q. Which of the following gases behaves most ideally under standard conditions?

A. NH3
B. CO2
C. He
D. H2O

Solution

Helium (He) behaves most ideally under standard conditions due to its low intermolecular forces.

Correct Answer: C — He

Q. Which of the following gases has the highest density at STP?

A. He
B. Ar
C. N2
D. CO2

Solution

CO2 has the highest density at STP among the given gases.

Correct Answer: D — CO2

Q. Which of the following gases has the highest rate of diffusion at the same temperature?

A. O2
B. N2
C. CO2
D. H2

Solution

According to Graham's law, lighter gases diffuse faster; H2 has the lowest molar mass.

Correct Answer: D — H2

Q. Which of the following gases has the highest RMS speed at the same temperature?

A. Oxygen (O2)
B. Nitrogen (N2)
C. Hydrogen (H2)
D. Carbon Dioxide (CO2)

Solution

RMS speed is inversely proportional to the square root of molar mass. Hydrogen (H2) has the lowest molar mass among the options, thus it has the highest RMS speed.

Correct Answer: C — Hydrogen (H2)

Q. Which of the following gases is most likely to behave ideally?

A. NH3
B. H2O
C. He
D. CO2

Solution

Helium (He) behaves most ideally due to its small size and weak intermolecular forces.

Correct Answer: C — He

Q. Which of the following gases is most soluble in water?

A. O2
B. N2
C. CO2
D. H2

Solution

CO2 is more soluble in water compared to O2, N2, and H2 due to its ability to form carbonic acid.

Correct Answer: C — CO2

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