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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 sets is a universal set for the sets A = {1, 2} and B = {2, 3}?

A. {1, 2, 3}
B. {2, 3, 4}
C. {1, 2, 4}
D. {1, 3}

Solution

A universal set contains all elements under consideration. Here, {1, 2, 3} contains all elements from both A and B.

Correct Answer: A — {1, 2, 3}

Q. Which of the following sets is equal to the power set of G = {x, y}?

A. {∅, {x}, {y}, {x, y}}
B. {x, y}
C. {∅, {x, y}}
D. {x, y, ∅}

Solution

The power set of a set with n elements has 2^n subsets. For G, n=2, so the power set is {∅, {x}, {y}, {x, y}}.

Correct Answer: A — {∅, {x}, {y}, {x, y}}

Q. Which of the following sets is equal to the set of all subsets of {1, 2}?

A. {{1}, {2}}
B. {{}, {1}, {2}, {1, 2}}
C. {{1, 2}}
D. {{1, 2}, {1}, {2}}

Solution

The power set of {1, 2} is {{}, {1}, {2}, {1, 2}}.

Correct Answer: B — {{}, {1}, {2}, {1, 2}}

Q. Which of the following sets is not a subset of {1, 2, 3, 4}?

A. {1, 2}
B. {2, 3, 4}
C. {5}
D. {1, 2, 3}

Solution

A subset can only contain elements from the original set. {5} is not a subset of {1, 2, 3, 4}.

Correct Answer: C — {5}

Q. Which of the following sets is not a subset of {x | x is a natural number}?

A. {1, 2}
B. {0}
C. {3, 4}
D. {5, 6}

Solution

The set {0} is not a subset of the natural numbers, as natural numbers start from 1.

Correct Answer: B — {0}

Q. Which of the following sets of quantum numbers corresponds to a 3p electron?

A. n=3, l=0, m_l=0
B. n=3, l=1, m_l=1
C. n=2, l=1, m_l=0
D. n=3, l=2, m_l=0

Solution

For a 3p electron, n=3 and l=1. The magnetic quantum number m_l can be -1, 0, or +1.

Correct Answer: B — n=3, l=1, m_l=1

Q. Which of the following sets of quantum numbers corresponds to an electron in a 4d orbital?

A. n=4, l=0, m_l=0
B. n=4, l=2, m_l=1
C. n=3, l=2, m_l=2
D. n=4, l=1, m_l=0

Solution

For a 4d orbital, n=4 and l=2. The m_l value can be -2, -1, 0, +1, +2.

Correct Answer: B — n=4, l=2, m_l=1

Q. Which of the following sets of quantum numbers is not allowed?

A. n=2, l=1, m_l=0
B. n=3, l=2, m_l=2
C. n=1, l=0, m_l=1
D. n=4, l=3, m_l=-3

Solution

For l=0, m_l can only be 0. Therefore, n=1, l=0, m_l=1 is not allowed.

Correct Answer: C — n=1, l=0, m_l=1

Q. Which of the following sets of quantum numbers is not possible?

A. n=3, l=2, m_l=1
B. n=2, l=1, m_l=2
C. n=4, l=3, m_l=0
D. n=1, l=0, m_l=0

Solution

For l=1, m_l can only be -1, 0, or +1. Therefore, m_l=2 is not possible.

Correct Answer: B — n=2, l=1, m_l=2

Q. Which of the following shapes has the largest moment of inertia for the same mass and radius?

A. Solid sphere
B. Hollow sphere
C. Solid cylinder
D. Hollow cylinder

Solution

The hollow sphere has the largest moment of inertia compared to the other shapes for the same mass and radius.

Correct Answer: B — Hollow sphere

Q. Which of the following solutions has the highest boiling point?

A. 0.1 M NaCl
B. 0.1 M KCl
C. 0.1 M CaCl2
D. 0.1 M glucose

Solution

CaCl2 dissociates into 3 ions (Ca^2+ and 2 Cl^-), leading to the highest boiling point elevation among the options.

Correct Answer: C — 0.1 M CaCl2

Q. Which of the following solutions has the highest concentration?

A. 0.1 M NaCl
B. 0.2 M KCl
C. 0.05 M CaCl2
D. 0.3 M MgSO4

Solution

Concentration in terms of molarity: 0.1 M NaCl = 0.1, 0.2 M KCl = 0.2, 0.05 M CaCl2 = 0.15 (0.05*3), 0.3 M MgSO4 = 0.3. Highest is 0.3 M MgSO4.

Correct Answer: D — 0.3 M MgSO4

Q. Which of the following solutions will have the highest boiling point?

A. 0.1 M NaCl
B. 0.1 M KCl
C. 0.1 M glucose
D. 0.1 M MgCl2

Solution

0.1 M MgCl2 will have the highest boiling point due to the highest van 't Hoff factor (i = 3).

Correct Answer: D — 0.1 M MgCl2

Q. Which of the following solutions will have the lowest freezing point?

A. 0.1 M NaCl
B. 0.1 M KBr
C. 0.1 M MgCl2
D. 0.1 M glucose

Solution

MgCl2 dissociates into 3 ions, leading to the greatest freezing point depression among the options.

Correct Answer: C — 0.1 M MgCl2

Q. Which of the following solutions will have the lowest vapor pressure?

A. 0.1 M NaCl
B. 0.1 M KBr
C. 0.1 M MgCl2
D. 0.1 M glucose

Solution

MgCl2 dissociates into 3 ions, leading to the highest number of solute particles and thus the lowest vapor pressure.

Correct Answer: C — 0.1 M MgCl2

Q. Which of the following species exhibits sp3d hybridization?

A. SF4
B. XeF2
C. NH3
D. C2H4

Solution

In SF4, the sulfur atom is sp3d hybridized, resulting in a seesaw molecular geometry.

Correct Answer: A — SF4

Q. Which of the following species has a bond order of 1?

A. N2
B. O2
C. F2
D. C2

Solution

F2 has a bond order of 1, calculated as (8 bonding electrons - 6 antibonding electrons)/2 = 1.

Correct Answer: C — F2

Q. Which of the following species has a central atom with sp3 hybridization?

A. CCl4
B. CO2
C. BF3
D. H2O

Solution

In CCl4, the central carbon atom is sp3 hybridized, forming a tetrahedral geometry.

Correct Answer: A — CCl4

Q. Which of the following species has a linear geometry due to hybridization?

A. H2O
B. CO2
C. NH3
D. CH4

Solution

CO2 has a linear geometry due to the sp hybridization of the carbon atom.

Correct Answer: B — CO2

Q. Which of the following species has a linear molecular geometry?

A. BeCl2
B. NH3
C. H2O
D. CH3Cl

Solution

BeCl2 has two bonding pairs and no lone pairs, resulting in a linear molecular geometry.

Correct Answer: A — BeCl2

Q. Which of the following species has a linear molecular shape?

A. BeCl2
B. SF6
C. NH3
D. H2O

Solution

BeCl2 has two bonding pairs and no lone pairs, resulting in a linear shape.

Correct Answer: A — BeCl2

Q. Which of the following species has a tetrahedral shape?

A. CH4
B. C2H4
C. NH3
D. H2O

Solution

CH4 has a tetrahedral shape due to sp3 hybridization of the carbon atom.

Correct Answer: A — CH4

Q. Which of the following species has a trigonal bipyramidal geometry?

A. PCl5
B. BF3
C. H2O
D. NH4+

Solution

PCl5 has five bonding pairs and no lone pairs, resulting in a trigonal bipyramidal geometry.

Correct Answer: A — PCl5

Q. Which of the following species has sp2 hybridization?

A. C2H2
B. BF3
C. C2H4
D. CH4

Solution

C2H4 (ethylene) has a carbon-carbon double bond, and each carbon is sp2 hybridized.

Correct Answer: C — C2H4

Q. Which of the following species has the highest bond order?

A. O2+
B. O2
C. O2-
D. O2 2-

Solution

O2+ has a bond order of 2.5, which is higher than O2 (2), O2- (1.5), and O2 2- (1).

Correct Answer: A — O2+

Q. Which of the following species is reduced in the reaction 2MnO4- + 5C2O4^2- + 16H+ → 2Mn^2+ + 10CO2 + 8H2O?

A. MnO4-
B. C2O4^2-
C. H+
D. CO2

Solution

In the given reaction, MnO4- is reduced to Mn^2+.

Correct Answer: A — MnO4-

Q. Which of the following statements about a convex lens is true?

A. It can only produce real images.
B. It can only produce virtual images.
C. It can produce both real and virtual images.
D. It has a negative focal length.

Solution

A convex lens can produce both real images (when the object is outside the focal length) and virtual images (when the object is within the focal length).

Correct Answer: C — It can produce both real and virtual images.

Q. Which of the following statements about a potentiometer is true?

A. It can only measure AC voltages.
B. It requires a constant current for accurate measurements.
C. It can measure both AC and DC voltages.
D. It is only used in laboratory settings.

Solution

A potentiometer requires a constant current to ensure accurate measurements of voltage.

Correct Answer: B — It requires a constant current for accurate measurements.

Q. Which of the following statements about alcohols is true?

A. They are always soluble in water.
B. They have higher boiling points than alkanes.
C. They cannot form hydrogen bonds.
D. They are less dense than water.

Solution

Alcohols have higher boiling points than alkanes due to hydrogen bonding.

Correct Answer: B — They have higher boiling points than alkanes.

Q. Which of the following statements about alkanes is true?

A. They are highly reactive.
B. They are saturated hydrocarbons.
C. They contain double bonds.
D. They are polar molecules.

Solution

Alkanes are saturated hydrocarbons, meaning they contain only single bonds between carbon atoms.

Correct Answer: B — They are saturated hydrocarbons.

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