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.
Q. If the scores of a student in five subjects are 70, 80, 90, 100, and 60, what is the median score?
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Solution
Median = 80 (middle value when arranged: 60, 70, 80, 90, 100).
Correct Answer:
B
— 80
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Q. If the sides of triangle ABC are 7 cm, 24 cm, and 25 cm, what is the perimeter of the triangle?
A.
50 cm
B.
55 cm
C.
60 cm
D.
65 cm
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Solution
Perimeter = a + b + c = 7 + 24 + 25 = 56 cm.
Correct Answer:
A
— 50 cm
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Q. If the sides of triangle ABC are in the ratio 3:4:5, what type of triangle is it?
A.
Acute
B.
Obtuse
C.
Right
D.
Equilateral
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Solution
A triangle with sides in the ratio 3:4:5 is a right triangle, as it satisfies the Pythagorean theorem.
Correct Answer:
C
— Right
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Q. If the slit width is equal to the wavelength of light used, what is the expected diffraction pattern?
A.
No diffraction
B.
Single maximum
C.
Wide central maximum
D.
Narrow central maximum
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Solution
When the slit width is equal to the wavelength, a wide central maximum is observed due to significant diffraction.
Correct Answer:
C
— Wide central maximum
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Q. If the slit width is halved in a single-slit diffraction experiment, what happens to the width of the central maximum?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
If the slit width is halved, the width of the central maximum doubles, as it is inversely proportional to the slit width.
Correct Answer:
A
— It doubles
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Q. If the slit width is halved in a single-slit diffraction experiment, what happens to the angular width of the central maximum?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
Halving the slit width increases the angular width of the central maximum, making it double.
Correct Answer:
A
— It doubles
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Q. If the solubility product (Ksp) of AgCl is 1.77 x 10^-10, what is the molar solubility of AgCl?
A.
1.77 x 10^-5 M
B.
1.77 x 10^-10 M
C.
1.77 x 10^-7 M
D.
1.77 x 10^-3 M
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Solution
Ksp = [Ag+][Cl-] = s^2, thus s = sqrt(1.77 x 10^-10) = 1.77 x 10^-5 M.
Correct Answer:
C
— 1.77 x 10^-7 M
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Q. If the speed of a wave in a medium is 300 m/s and its wavelength is 3 m, what is the frequency of the wave?
A.
100 Hz
B.
150 Hz
C.
200 Hz
D.
300 Hz
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Solution
Frequency f = v/λ = 300 m/s / 3 m = 100 Hz.
Correct Answer:
B
— 150 Hz
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Q. If the speed of an object in circular motion is doubled, what happens to the centripetal acceleration?
A.
It remains the same
B.
It doubles
C.
It quadruples
D.
It halves
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Solution
Centripetal acceleration a_c = v²/r. If v is doubled, a_c increases by a factor of 4.
Correct Answer:
C
— It quadruples
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Q. If the speed of light in vacuum is 3 x 10^8 m/s, what is the speed of light in a medium with a refractive index of 1.5?
A.
2 x 10^8 m/s
B.
2.5 x 10^8 m/s
C.
3 x 10^8 m/s
D.
1.5 x 10^8 m/s
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Solution
Speed of light in medium = c/n = (3 x 10^8 m/s) / 1.5 = 2 x 10^8 m/s.
Correct Answer:
A
— 2 x 10^8 m/s
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Q. If the standard deviation of a data set is 0, what can be said about the data?
A.
All values are different
B.
All values are the same
C.
Values are in a range
D.
Data is not valid
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Solution
A standard deviation of 0 indicates that all values in the data set are the same.
Correct Answer:
B
— All values are the same
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Q. If the standard deviation of a data set is 3, what is the variance?
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Solution
Variance = (Standard Deviation)^2 = 3^2 = 9.
Correct Answer:
C
— 9
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Q. If the standard deviation of a data set is 4, what is the variance?
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Solution
Variance = (Standard Deviation)² = 4² = 16.
Correct Answer:
B
— 16
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Q. If the standard deviation of a data set is 5, what is the variance?
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Solution
Variance is the square of the standard deviation. Variance = 5² = 25.
Correct Answer:
C
— 25
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Q. If the strain in a material is 0.01 and the Young's modulus is 150 GPa, what is the stress?
A.
1.5 MPa
B.
15 MPa
C.
150 MPa
D.
1500 MPa
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Solution
Stress = Young's modulus × Strain = 150 GPa × 0.01 = 150 MPa.
Correct Answer:
C
— 150 MPa
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Q. If the stress applied to a material is doubled, what happens to the strain if the material behaves elastically?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
According to Hooke's Law, if stress is doubled, strain also doubles for elastic materials.
Correct Answer:
A
— It doubles
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Q. If the sum of the first n natural numbers is 55, what is n?
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Solution
n(n + 1)/2 = 55, solving gives n = 10.
Correct Answer:
B
— 11
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Q. If the sum of the first n terms of a geometric series is 81, and the first term is 3, what is the common ratio?
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Solution
Using the formula S_n = a(1 - r^n) / (1 - r), we have 81 = 3(1 - r^n) / (1 - r). Solving gives r = 3.
Correct Answer:
B
— 3
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Q. If the sum of the first n terms of a geometric series is given by S_n = a(1 - r^n)/(1 - r), what is the sum when r = 1?
A.
na
B.
a
C.
0
D.
undefined
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Solution
When r = 1, S_n = a(1 - 1^n)/(1 - 1) is indeterminate, but the sum of n terms is na.
Correct Answer:
A
— na
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Q. If the sum of the first n terms of an arithmetic series is given by S_n = 3n^2 + 2n, what is the 4th term?
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Solution
The 4th term a_4 = S_4 - S_3 = (3(4^2) + 2(4)) - (3(3^2) + 2(3)) = (48 + 8) - (27 + 6) = 56 - 33 = 23.
Correct Answer:
A
— 26
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Q. If the sum of the first n terms of an arithmetic series is given by S_n = 5n^2 + 3n, what is the 5th term?
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Solution
The 5th term can be found using a_n = S_n - S_(n-1). Calculate S_5 and S_4, then find a_5 = S_5 - S_4 = (5(5^2) + 3(5)) - (5(4^2) + 3(4)) = 38.
Correct Answer:
A
— 38
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Q. If the sum of the roots of the equation x^2 - 3x + p = 0 is 3, what is the value of p?
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Solution
The sum of the roots is given by -b/a = 3. Here, -(-3)/1 = 3, so p can be any value.
Correct Answer:
A
— 0
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Q. If the supply voltage in a Wheatstone bridge is increased, how does it affect the balance condition?
A.
It does not affect the balance condition
B.
It makes the bridge unbalanced
C.
It increases the current in the circuit
D.
It decreases the resistance
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Solution
Increasing the supply voltage does not affect the balance condition; it remains dependent on the resistance ratios.
Correct Answer:
A
— It does not affect the balance condition
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Q. If the surface tension of a liquid is 0.072 N/m, what is the force acting on a wire of length 0.5 m placed on the surface of the liquid?
A.
0.036 N
B.
0.072 N
C.
0.144 N
D.
0.5 N
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Solution
Force = Surface Tension × Length = 0.072 N/m × 0.5 m = 0.036 N.
Correct Answer:
A
— 0.036 N
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Q. If the temperature difference between two bodies is increased, what happens to the rate of heat transfer?
A.
Decreases
B.
Increases
C.
Remains constant
D.
Becomes zero
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Solution
According to Newton's law of cooling, the rate of heat transfer increases with an increase in temperature difference.
Correct Answer:
B
— Increases
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Q. If the temperature is recorded as 30°C with an error of 0.5°C, what is the maximum possible temperature?
A.
30.5°C
B.
29.5°C
C.
31°C
D.
30°C
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Solution
Maximum possible temperature = Measured value + Error = 30 + 0.5 = 30.5°C
Correct Answer:
A
— 30.5°C
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Q. If the temperature of a conductor increases, what happens to its resistivity?
A.
Increases
B.
Decreases
C.
Remains constant
D.
Depends on the material
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Solution
For most conductors, resistivity increases with temperature due to increased atomic vibrations.
Correct Answer:
A
— Increases
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Q. If the temperature of a gas is doubled at constant pressure, what happens to its volume?
A.
It halves
B.
It doubles
C.
It remains the same
D.
It quadruples
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Solution
According to Charles's Law, at constant pressure, the volume of a gas is directly proportional to its temperature.
Correct Answer:
B
— It doubles
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Q. If the temperature of a gas is doubled at constant volume, what happens to the pressure?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
According to Gay-Lussac's Law, if the temperature of a gas is increased while keeping the volume constant, the pressure will also increase proportionally, thus it doubles.
Correct Answer:
A
— It doubles
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Q. If the temperature of a gas is doubled, how does its RMS speed change?
A.
Increases by a factor of sqrt(2)
B.
Increases by a factor of 2
C.
Increases by a factor of 4
D.
Remains the same
Show solution
Solution
The RMS speed is proportional to the square root of the temperature. If the temperature is doubled, the RMS speed increases by a factor of sqrt(2).
Correct Answer:
A
— Increases by a factor of sqrt(2)
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