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. How much heat is required to convert 1 kg of water at 100°C to steam at 100°C? (Latent heat of vaporization = 2260 J/g)
A.
1000 J
B.
2260 J
C.
2260000 J
D.
100000 J
Show solution
Solution
Q = m * L = 1000 g * 2260 J/g = 2260000 J.
Correct Answer:
C
— 2260000 J
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Q. How should the number 0.0001234 be rounded to two significant figures?
A.
0.00012
B.
0.00013
C.
0.0001
D.
0.000123
Show solution
Solution
To round 0.0001234 to two significant figures, we look at the first two non-zero digits (1 and 2) and round up, resulting in 0.00013.
Correct Answer:
B
— 0.00013
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Q. How should the number 0.05060 be rounded to three significant figures?
A.
0.051
B.
0.0506
C.
0.05060
D.
0.050
Show solution
Solution
To round 0.05060 to three significant figures, we keep the first three significant digits (5, 0, and 6), resulting in 0.0506.
Correct Answer:
B
— 0.0506
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Q. Identify the family of curves represented by the equation x^2 + y^2 = r^2.
A.
Straight lines
B.
Ellipses
C.
Circles
D.
Hyperbolas
Show solution
Solution
The equation x^2 + y^2 = r^2 represents a family of circles with varying radii 'r'.
Correct Answer:
C
— Circles
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Q. Identify the family of curves represented by the equation y = a(x - h)^2 + k.
A.
Parabolas
B.
Circles
C.
Ellipses
D.
Hyperbolas
Show solution
Solution
The equation y = a(x - h)^2 + k represents a family of parabolas that open upwards or downwards.
Correct Answer:
A
— Parabolas
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Q. Identify the family of curves represented by the equation y = ax^2 + bx + c.
A.
Linear functions
B.
Quadratic functions
C.
Cubic functions
D.
Exponential functions
Show solution
Solution
The equation y = ax^2 + bx + c represents a family of quadratic functions with varying coefficients (a, b, c).
Correct Answer:
B
— Quadratic functions
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Q. Identify the family of curves represented by the equation y = a^x.
A.
Exponential functions
B.
Logarithmic functions
C.
Polynomial functions
D.
Trigonometric functions
Show solution
Solution
The equation y = a^x represents a family of exponential functions where a is a positive constant.
Correct Answer:
A
— Exponential functions
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Q. Identify the family of curves represented by the equation y = c/x, where c is a constant.
A.
Linear functions
B.
Hyperbolas
C.
Parabolas
D.
Circles
Show solution
Solution
The equation y = c/x represents a family of hyperbolas with varying asymptotes.
Correct Answer:
B
— Hyperbolas
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Q. Identify the family of curves represented by the equation y = e^(kx), where k is a constant.
A.
Linear functions
B.
Exponential functions
C.
Logarithmic functions
D.
Polynomial functions
Show solution
Solution
The equation y = e^(kx) represents a family of exponential functions with varying growth rates determined by k.
Correct Answer:
B
— Exponential functions
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Q. Identify the family of curves represented by the equation y = e^(kx).
A.
Linear functions
B.
Exponential functions
C.
Logarithmic functions
D.
Polynomial functions
Show solution
Solution
The equation y = e^(kx) represents a family of exponential functions with varying growth rates determined by 'k'.
Correct Answer:
B
— Exponential functions
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Q. Identify the family of curves represented by the equation y = mx^3 + c.
A.
Cubic functions
B.
Quadratic functions
C.
Linear functions
D.
Exponential functions
Show solution
Solution
The equation y = mx^3 + c represents a family of cubic functions with varying coefficients m and c.
Correct Answer:
A
— Cubic functions
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Q. Identify the family of curves represented by the equation y = sin(kx) for varying k.
A.
Sine waves
B.
Cosine waves
C.
Straight lines
D.
Parabolas
Show solution
Solution
The equation y = sin(kx) represents a family of sine waves with varying frequencies determined by k.
Correct Answer:
A
— Sine waves
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Q. Identify the family of curves represented by the equation y^2 = 4ax.
A.
Parabolas
B.
Hyperbolas
C.
Ellipses
D.
Straight lines
Show solution
Solution
The equation y^2 = 4ax represents a family of parabolas that open to the right with varying values of 'a'.
Correct Answer:
A
— Parabolas
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Q. Identify the group that shows a -I effect.
A.
-NH2
B.
-CH3
C.
-F
D.
-OCH3
Show solution
Solution
The -F group shows a -I effect as it withdraws electron density through its electronegativity.
Correct Answer:
C
— -F
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Q. Identify the hybridization of the central atom in C2H4.
A.
sp
B.
sp2
C.
sp3
D.
dsp3
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Solution
The central carbon atoms in C2H4 are sp2 hybridized, forming a double bond between them.
Correct Answer:
B
— sp2
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Q. Identify the hybridization of the central atom in CO2.
A.
sp
B.
sp2
C.
sp3
D.
dsp3
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Solution
Carbon in CO2 is sp hybridized, forming two double bonds with oxygen.
Correct Answer:
A
— sp
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Q. Identify the hybridization of the central atom in NH3.
A.
sp
B.
sp2
C.
sp3
D.
dsp3
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Solution
The nitrogen atom in NH3 is sp3 hybridized, forming three bonds and one lone pair.
Correct Answer:
C
— sp3
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Q. Identify the hybridization of the nitrogen atom in NH3.
A.
sp
B.
sp2
C.
sp3
D.
dsp2
Show solution
Solution
The nitrogen atom in NH3 is sp3 hybridized, forming three N-H bonds and one lone pair.
Correct Answer:
C
— sp3
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Q. Identify the IUPAC name for the compound with the structure CH3-CH(CH3)-C(CH3)2-COOH.
A.
3-Methylbutanoic acid
B.
2-Methylbutanoic acid
C.
3,3-Dimethylbutanoic acid
D.
2,3-Dimethylbutanoic acid
Show solution
Solution
The compound has a carboxylic acid group and a total of 5 carbons with two methyl groups on the third carbon, making it 3,3-Dimethylbutanoic acid.
Correct Answer:
C
— 3,3-Dimethylbutanoic acid
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Q. Identify the IUPAC name for the compound with the structure CH3-CH(CH3)-C(CH3)2-CH2-CH3.
A.
2,3-Dimethylpentane
B.
3,3-Dimethylpentane
C.
2-Methylhexane
D.
3-Methylhexane
Show solution
Solution
The longest chain has 5 carbons, and there are two methyl groups on the third carbon, making it 3,3-Dimethylpentane.
Correct Answer:
B
— 3,3-Dimethylpentane
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Q. If 0.1 M of a strong acid is mixed with 0.1 M of a strong base, what will be the resulting pH?
Show solution
Solution
Strong acid and strong base neutralize each other, resulting in a neutral solution with pH = 7.
Correct Answer:
B
— 7
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Q. If 0.1 M of a weak acid has a pH of 4.0, what is the Ka of the acid?
A.
1 x 10^-4
B.
1 x 10^-5
C.
1 x 10^-6
D.
1 x 10^-7
Show solution
Solution
Using the formula Ka = [H+]^2 / [HA], where [H+] = 10^(-4) M and [HA] = 0.1 M, we find Ka = (10^-4)^2 / 0.1 = 1 x 10^-5.
Correct Answer:
B
— 1 x 10^-5
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Q. If 0.5 mol of a non-volatile solute is dissolved in 1 kg of water, what is the vapor pressure lowering? (Vapor pressure of pure water = 23.76 mmHg)
A.
1.88 mmHg
B.
2.88 mmHg
C.
3.88 mmHg
D.
4.88 mmHg
Show solution
Solution
Vapor pressure lowering = (n_solute / n_solvent) * P°_solvent = (0.5 / 55.5) * 23.76 = 1.88 mmHg
Correct Answer:
A
— 1.88 mmHg
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Q. If 0.5 moles of a gas occupy 11.2 liters at STP, what is the molar volume of the gas?
A.
22.4 L
B.
11.2 L
C.
5.6 L
D.
44.8 L
Show solution
Solution
At STP, 1 mole of gas occupies 22.4 L. Therefore, the molar volume is 22.4 L.
Correct Answer:
A
— 22.4 L
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Q. If 0.5 moles of NaCl are dissolved in 1 liter of water, what is the concentration of NaCl?
A.
0.5 M
B.
1 M
C.
2 M
D.
0.25 M
Show solution
Solution
Concentration (M) = moles of solute / liters of solution = 0.5 moles / 1 L = 0.5 M.
Correct Answer:
A
— 0.5 M
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Q. If 0.5 moles of NaCl are dissolved in 1 liter of water, what is the concentration of NaCl in the solution?
A.
0.5 M
B.
1 M
C.
2 M
D.
0.25 M
Show solution
Solution
Concentration (M) = moles of solute / liters of solution = 0.5 moles / 1 L = 0.5 M.
Correct Answer:
A
— 0.5 M
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Q. If 0.5 moles of NaCl are dissolved in 1 liter of water, what is the molarity of the solution?
A.
0.5 M
B.
1 M
C.
2 M
D.
0.25 M
Show solution
Solution
Molarity (M) = moles of solute / liters of solution = 0.5 moles / 1 L = 0.5 M.
Correct Answer:
A
— 0.5 M
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Q. If 1 kg of water is heated from 20°C to 100°C, how much heat is absorbed? (Specific heat of water = 4.2 J/g°C)
A.
3360 J
B.
4000 J
C.
4200 J
D.
4800 J
Show solution
Solution
Q = m*c*ΔT = 1000 g * 4.2 J/g°C * (100°C - 20°C) = 4200 J.
Correct Answer:
C
— 4200 J
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Q. If 1 L of a 2 M solution is diluted to 3 L, what is the new molarity of the solution?
A.
0.67 M
B.
1 M
C.
1.5 M
D.
2 M
Show solution
Solution
Using the dilution formula M1V1 = M2V2, we have 2 M * 1 L = M2 * 3 L, thus M2 = 2/3 = 0.67 M.
Correct Answer:
A
— 0.67 M
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Q. If 1 L of a 3 M solution is diluted to 2 L, what is the new molarity?
A.
1.5 M
B.
3 M
C.
6 M
D.
0.5 M
Show solution
Solution
Using the dilution formula M1V1 = M2V2, we have 3 M × 1 L = M2 × 2 L. Thus, M2 = 1.5 M.
Correct Answer:
A
— 1.5 M
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