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. In a data set, if the mean is 50 and the median is 45, what can be inferred about the data?
A.
Skewed right
B.
Skewed left
C.
Symmetric
D.
Uniform
Show solution
Solution
Since the mean is greater than the median, the data is skewed right.
Correct Answer:
A
— Skewed right
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Q. In a data set, if the mean is 50 and the sum of all values is 500, how many values are there?
Show solution
Solution
Number of values = Sum / Mean = 500 / 50 = 10.
Correct Answer:
C
— 10
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Q. In a data set, if the mode is 15 and the mean is 20, what can be said about the data?
A.
Positively skewed
B.
Negatively skewed
C.
Symmetrical
D.
Uniform
Show solution
Solution
Since the mean is greater than the mode, the data is positively skewed.
Correct Answer:
A
— Positively skewed
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Q. In a data set, if the values are 2, 4, 4, 4, 5, 5, 7, what is the mode?
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Solution
Mode = 4 (most frequently occurring value).
Correct Answer:
A
— 4
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Q. In a data set, the mean is 10 and the standard deviation is 2. What is the coefficient of variation?
A.
20%
B.
10%
C.
5%
D.
15%
Show solution
Solution
Coefficient of Variation = (Standard Deviation / Mean) * 100 = (2/10) * 100 = 20%.
Correct Answer:
A
— 20%
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Q. In a data set, the mean is 20 and the median is 18. What can be inferred about the data?
A.
Skewed right
B.
Skewed left
C.
Symmetric
D.
Uniform
Show solution
Solution
Since the mean is greater than the median, the data is skewed right.
Correct Answer:
A
— Skewed right
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Q. In a data set, the mean is 20 and the median is 18. What can be said about the data?
A.
Positively skewed
B.
Negatively skewed
C.
Symmetrical
D.
Uniform
Show solution
Solution
Since the mean is greater than the median, the data is positively skewed.
Correct Answer:
A
— Positively skewed
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Q. In a data set, the mean is 20 and the standard deviation is 4. What is the coefficient of variation?
A.
20%
B.
15%
C.
10%
D.
5%
Show solution
Solution
Coefficient of Variation = (Standard Deviation / Mean) * 100 = (4/20) * 100 = 20%.
Correct Answer:
A
— 20%
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Q. In a data set, the mean is 50 and the number of observations is 10. What is the sum of all observations?
A.
400
B.
500
C.
600
D.
700
Show solution
Solution
Sum = Mean * Number of Observations = 50 * 10 = 500.
Correct Answer:
B
— 500
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Q. In a data set, the values are: 1, 2, 3, 4, 5. What is the interquartile range?
Show solution
Solution
Q1 = 2, Q3 = 4. Interquartile Range = Q3 - Q1 = 4 - 2 = 2.
Correct Answer:
B
— 2
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Q. In a deck of 52 cards, what is the probability of drawing a heart given that the card drawn is a red card?
A.
1/2
B.
1/4
C.
1/3
D.
1/5
Show solution
Solution
There are 26 red cards (hearts and diamonds). The number of hearts is 13. Thus, P(Heart | Red) = 13/26 = 1/2.
Correct Answer:
A
— 1/2
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Q. In a deck of cards, what is the probability of drawing a heart given that the card drawn is a red card?
A.
1/2
B.
1/4
C.
1/3
D.
1/5
Show solution
Solution
There are 26 red cards (hearts and diamonds). The number of hearts is 13. Thus, P(Heart | Red) = 13/26 = 1/2.
Correct Answer:
A
— 1/2
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Q. In a diffraction grating, if the number of slits is increased, what happens to the angular width of the principal maxima?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
Show solution
Solution
Increasing the number of slits increases the sharpness of the maxima, thus decreasing the angular width.
Correct Answer:
B
— Decreases
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Q. In a diffraction grating, if the number of slits is increased, what happens to the intensity of the maxima?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
Show solution
Solution
Increasing the number of slits increases the intensity of the maxima due to constructive interference.
Correct Answer:
A
— Increases
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Q. In a diffraction grating, if the number of slits is increased, what happens to the sharpness of the maxima?
A.
Sharpness increases
B.
Sharpness decreases
C.
No effect
D.
Maxima disappear
Show solution
Solution
Increasing the number of slits in a diffraction grating increases the sharpness of the maxima due to constructive interference.
Correct Answer:
A
— Sharpness increases
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Q. In a diffraction grating, what is the relationship between the angle of diffraction and the order of the maximum?
A.
Directly proportional
B.
Inversely proportional
C.
Independent
D.
Exponential
Show solution
Solution
The angle of diffraction is directly proportional to the order of the maximum in a diffraction grating.
Correct Answer:
A
— Directly proportional
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Q. In a diffraction pattern, how does the intensity of the maxima compare to the minima?
A.
Maxima are always brighter than minima
B.
Minima have the same intensity as maxima
C.
Minima are always darker than maxima
D.
Intensity is uniform throughout
Show solution
Solution
In a diffraction pattern, the minima are always darker than the maxima, which have higher intensity.
Correct Answer:
C
— Minima are always darker than maxima
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Q. In a diffraction pattern, if the first minimum occurs at an angle of 30°, what is the ratio of the slit width to the wavelength?
A.
1:2
B.
1:√3
C.
√3:1
D.
2:1
Show solution
Solution
Using the condition for the first minimum a sin(30°) = λ, we find the ratio a/λ = 1/√3.
Correct Answer:
B
— 1:√3
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Q. In a diffraction pattern, the intensity of the central maximum is how many times that of the first minimum?
A.
Zero
B.
One
C.
Infinity
D.
Two
Show solution
Solution
The intensity of the central maximum is theoretically infinite compared to the first minimum, which has zero intensity.
Correct Answer:
C
— Infinity
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Q. In a diffraction pattern, the intensity of the central maximum is typically:
A.
Zero
B.
Minimum
C.
Maximum
D.
Constant
Show solution
Solution
The intensity of the central maximum in a diffraction pattern is at its maximum compared to other maxima.
Correct Answer:
C
— Maximum
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Q. In a diffraction pattern, what does the intensity of the central maximum depend on?
A.
Wavelength only
B.
Slit width only
C.
Both wavelength and slit width
D.
Distance from the slit
Show solution
Solution
The intensity of the central maximum in a diffraction pattern depends on both the wavelength of light and the slit width.
Correct Answer:
C
— Both wavelength and slit width
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Q. In a diffraction pattern, what does the term 'fringe separation' refer to?
A.
Distance between two minima
B.
Distance between two maxima
C.
Distance between a maximum and a minimum
D.
None of the above
Show solution
Solution
Fringe separation refers to the distance between two consecutive maxima in a diffraction pattern.
Correct Answer:
B
— Distance between two maxima
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Q. In a diffraction pattern, what does the term 'order of diffraction' refer to?
A.
The number of slits used
B.
The number of maxima observed
C.
The wavelength of light used
D.
The distance to the screen
Show solution
Solution
The order of diffraction refers to the number of maxima observed in the diffraction pattern, with the central maximum being the zeroth order.
Correct Answer:
B
— The number of maxima observed
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Q. In a diffraction pattern, what is the effect of increasing the slit width?
A.
Wider central maximum
B.
Narrower central maximum
C.
No effect
D.
Increased number of fringes
Show solution
Solution
Increasing the slit width results in a wider central maximum due to the decrease in diffraction effects.
Correct Answer:
A
— Wider central maximum
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Q. In a diffraction pattern, what is the ratio of the intensity of the central maximum to that of the first minimum?
A.
1:0
B.
1:1
C.
1:2
D.
1:4
Show solution
Solution
The intensity of the central maximum is typically much greater than that of the first minimum, often approximated as 1:4.
Correct Answer:
D
— 1:4
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Q. In a digital communication system, what does the term 'bit rate' refer to?
A.
The number of bits transmitted per second
B.
The number of bits stored in a device
C.
The frequency of the carrier wave
D.
The duration of each bit
Show solution
Solution
Bit rate refers to the number of bits transmitted per second in a digital communication system.
Correct Answer:
A
— The number of bits transmitted per second
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Q. In a diode, what is the region called where no charge carriers are present?
A.
Conduction band
B.
Valence band
C.
Depletion region
D.
N-type region
Show solution
Solution
The depletion region in a diode is the area where no charge carriers are present.
Correct Answer:
C
— Depletion region
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Q. In a diode, what is the region called where no current flows?
A.
Forward bias
B.
Reverse bias
C.
Depletion region
D.
Conduction region
Show solution
Solution
The depletion region is the area in a diode where no current flows under reverse bias.
Correct Answer:
C
— Depletion region
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Q. In a double convex lens, if the radii of curvature are 10 cm and 15 cm, what is the focal length using the lens maker's formula?
A.
6 cm
B.
10 cm
C.
12 cm
D.
8 cm
Show solution
Solution
Using the lens maker's formula, f = (R1 * R2) / (n - 1) * (1/R1 - 1/R2), we find f = 12 cm.
Correct Answer:
C
— 12 cm
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Q. In a double-slit experiment, if the distance between the screen and the slits is increased, what happens to the fringe separation?
A.
It increases
B.
It decreases
C.
It remains the same
D.
It becomes zero
Show solution
Solution
Fringe separation is directly proportional to the distance from the slits to the screen; increasing this distance increases fringe separation.
Correct Answer:
A
— It increases
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