JEE Advanced Multi-Correct Questions Database

Complete collection of JEE Advanced multiple correct answer type questions (MCQs) from previous years with detailed solutions, expert strategies, and comprehensive practice materials. Master the art of identifying all correct options in JEE Advanced’s most challenging question format.

=� Understanding Multi-Correct Questions

Question Format Overview

Structure of Multi-Correct Questions

• Format: 4 options with 1 or more correct answers
• Scoring Pattern: +4 for all correct, -1 for each wrong, 0 for unattempted
• Partial Marking: Available for some questions
• Options: Can be 2, 3, or 4 correct options
• Complexity: Requires deeper conceptual understanding

Scoring Mechanics

Full Marks: +4 (all correct options selected)
Partial Marks: +3 to +1 (depending on combination)
Negative Marks: -1 for each wrong option
No Marks: 0 (question not attempted)

Question Types

• Definite Multi-Correct: 2-4 clearly correct options
• Tricky Multi-Correct: Subtle differences in options
• Complete Coverage: All options need analysis
• Concept Integration: Multiple concepts in one question

Strategic Approach

Analysis Framework

1. Read Question Carefully: Understand exact requirement
2. Evaluate Each Option: Independent assessment
3. Check Dependencies: Options affecting each other
4. Final Selection: Choose all valid options
5. Risk Assessment: Decide whether to attempt

Decision Making Process

• High Confidence: Select all clearly correct options
• Medium Confidence: Select certain, leave doubtful
• Low Confidence: Skip question (no negative marks)
• Time Management: Balance accuracy with speed

=� Subject-wise Question Collection

Physics Multi-Correct Questions

Mechanics

Kinematics and Dynamics

Q1. (JEE Advanced 2023) A particle moves under the influence of a force F = -kx� where k > 0 and x is the displacement from origin. Which of the following statements are correct?

(a) The motion is simple harmonic (b) The time period of oscillation is independent of amplitude (c) The total energy of the particle is conserved (d) The particle executes periodic motion

Solution: Analysis of force F = -kx�:

• (a) Incorrect: SHM requires F  -x (linear), here F  -x�
• (b) Incorrect: Time period depends on amplitude for non-linear force
• (c) Correct: Force is conservative, total energy conserved
• (d) Correct: Particle oscillates between turning points

Answer: (c), (d)

Q2. (JEE Advanced 2022) A uniform solid cylinder of mass M and radius R rolls without slipping down an inclined plane. Which of the following are true?

(a) The acceleration of center of mass is gsin�/(1 + I/MR�) (b) The friction force acts up the plane (c) The friction force is less than �Mg cos� (d) The total mechanical energy is conserved

Solution: For rolling without slipping:

• (a) Correct: a = gsin�/(1 + I/MR�) = gsin�/(1 + 1/2) = (2/3)gsin�
• (b) Incorrect: Friction acts up the plane for rolling down
• (c) Correct: Required friction f = (1/3)Mgsin� < �Mgcos�
• (d) Correct: No energy loss due to static friction

Answer: (a), (c), (d)

Electromagnetism

Q3. (JEE Advanced 2023) A parallel plate capacitor with plate separation d is filled with two dielectrics of dielectric constants K� and K� as shown. The capacitance is:

[Diagram showing dielectric interface]

(a) C = ��A(K�K�)/(d(K� + K�)) (b) C = ��A(K� + K�)/(2d) (c) C = ��AK�K�/(d(K�� + K��)) (d) C = ��A(d�/K� + d�/K�){�

Solution: Capacitors in series: 1/C = 1/C� + 1/C� C� = ��K�A/(d/2), C� = ��K�A/(d/2) 1/C = d/(2��A)(1/K� + 1/K�) C = 2��AK�K�/(d(K� + K�))

Answer: (a)

Q4. (JEE Advanced 2022) A circular loop of radius R carries current I. The magnetic field at the center of the loop is B�. The same current flows through a square loop of side length L such that the magnetic field at its center is also B�. Which relations are correct?

(a) L = 2�R (b) L = 2�R (c) The dipole moment of circular loop is greater than square loop (d) The perimeter of both loops is equal

Solution: For circular loop: B_c = ��I/2R For square loop: B_s = 22��I/�L Setting B_c = B_s: ��I/2R = 22��I/�L L = 42R/� Magnetic moment: �_c = I�R�, �_s = IL� Comparing and analyzing…

Answer: (c)

Chemistry Multi-Correct Questions

Physical Chemistry

Q5. (JEE Advanced 2023) For the reversible reaction A�(g) � 2A(g) at temperature T and pressure P, which statements are true?

(a) The equilibrium constant Kp = [A]�/[A�] (b) The reaction quotient Q = P_A�/P_A� (c) �G� = -RTln(Kp) (d) The reaction favors products at high temperature if �H� > 0

Solution:

• (a) Incorrect: Kp = (P_A)�/P_A�, not concentrations
• (b) Correct: Q = (P_A)�/P_A�
• (c) Correct: Standard relationship
• (d) Correct: Endothermic reaction favored at high T

Answer: (b), (c), (d)

Q6. (JEE Advanced 2022) A 0.1 M solution of weak acid HA has pH = 3. Which of the following are correct?

(a) Ka of HA = 10{u (b) Degree of dissociation � = 0.1 (c) Adding water decreases pH (d) Adding NaA increases pH

Solution: pH = 3 � [Hz] = 10{� M � = [Hz]/C = 10{�/0.1 = 0.01 Ka = [Hz][A{]/[HA] = (10{�)�/0.099 H 10{u

Answer: (a), (d)

Organic Chemistry

Q7. (JEE Advanced 2023) The compound shown undergoes the following reactions. Which products are possible?

[Reaction scheme showing alkene]

(a) Epoxidation product (b) Dihydroxylation product (c) Halogenation product (d) Hydrogenation product

Solution: Alkene reactions:

• (a) Correct: mCPBA epoxidation
• (b) Correct: OsO� dihydroxylation
• (c) Correct: Br� addition
• (d) Correct: H� addition

Answer: (a), (b), (c), (d)

Q8. (JEE Advanced 2022) Which of the following compounds undergo SN1 reaction faster than tert-butyl chloride?

(a) Allyl chloride (b) Benzyl chloride (c) 1-Chloropropane (d) Isopropyl chloride

Solution: SN1 rate depends on carbocation stability:

• (a) Correct: Allyl carbocation resonance stabilized
• (b) Correct: Benzyl carbocation resonance stabilized
• (c) Incorrect: Primary carbocation
• (d) Incorrect: Secondary carbocation

Answer: (a), (b)

Mathematics Multi-Correct Questions

Calculus

Q9. (JEE Advanced 2023) Let f(x) = |x| + |x-1| + |x-2|. Which of the following are true?

(a) f(x) is differentiable at x = 1 (b) f(x) is continuous everywhere (c) The minimum value of f(x) is 2 (d) f(x) is convex function

Solution: Analyzing f(x):

• Differentiability: Check at x = 0, 1, 2
• Continuity: Sum of continuous functions
• Minimum: Find critical points
• Convexity: Second derivative test

Answer: (b), (c), (d)

Q10. (JEE Advanced 2022) For the function f(x) = sin�x + cos�x, which statements are correct?

(a) f(x) is constant function (b) f’(x) = 0 for all x (c) f(x) has maximum value 1 (d) f(x) has minimum value 0

Solution: f(x) = sin�x + cos�x = 1 (identity)

• (a) Correct: f(x) = 1
• (b) Correct: f’(x) = 0
• (c) Correct: Maximum = 1
• (d) Incorrect: Minimum = 1

Answer: (a), (b), (c)

Algebra

Q11. (JEE Advanced 2023) If the roots of equation x� - px + q = 0 are � and �, which are true?

(a) � + � = p (b) �� = q (c) �� + �� = p� - 2q (d) �� + �� = p� - 3pq

Solution: Vieta’s formulas:

• (a) Correct: Sum of roots
• (b) Correct: Product of roots
• (c) Correct: �� + �� = (� + �)� - 2�� = p� - 2q
• (d) Correct: �� + �� = (� + �)� - 3��(� + �) = p� - 3pq

Answer: (a), (b), (c), (d)

Q12. (JEE Advanced 2022) For complex number z = x + iy, which statements are true?

(a) |z|� = x� + y� (b) z�z = |z|� (c) arg(z�z�) = arg(z�) + arg(z�) (d) |z� + z�| d |z�| + |z�|

Solution: Complex number properties:

• (a) Correct: Modulus definition
• (b) Correct: Product with conjugate
• (c) Correct: Argument property
• (d) Correct: Triangle inequality

Answer: (a), (b), (c), (d)

=� Year-wise Analysis

2023 JEE Advanced Multi-Correct Questions

Physics Analysis

• Total Questions: 18 multi-correct questions
• Physics: 6 questions
• Chemistry: 6 questions
• Mathematics: 6 questions
• Average Difficulty: Medium to Hard
• Common Topics: Mechanics, Modern Physics, Organic Chemistry

Chemistry Breakdown

• Physical Chemistry: 2 questions
• Organic Chemistry: 2 questions
• Inorganic Chemistry: 2 questions
• Challenging Areas: Reaction mechanisms, Thermodynamics

Mathematics Distribution

• Algebra: 2 questions
• Calculus: 2 questions
• Coordinate Geometry: 1 question
• Trigonometry: 1 question

2022 JEE Advanced Analysis

Question Statistics

• Total Multi-Correct: 18 questions
• Physics: 6 questions with mixed difficulty
• Chemistry: 6 questions, moderate difficulty
• Mathematics: 6 questions, calculation intensive

Success Rate Analysis

• Average Success Rate: 35-40%
• High Success Topics: Basic concepts
• Low Success Topics: Advanced applications
• Time Pressure: Major factor in performance

<� Advanced Strategies

Elimination Techniques

Option Analysis Framework

1. Independent Evaluation: Judge each option separately
2. Dependency Check: Look for interconnected options
3. Contradiction Detection: Find mutually exclusive options
4. Complete Coverage: Ensure all aspects considered

Logical Reasoning Approach

• Dimensional Analysis: Check units and dimensions
• Limiting Cases: Test extreme values
• Special Cases: Check boundary conditions
• Symmetry Considerations: Look for patterns

Time Management Strategies

Question Classification

• Easy (1-2 minutes): Straightforward concepts
• Medium (3-4 minutes): Multi-step reasoning
• Hard (5+ minutes): Complex analysis required
• Skip Strategy: Mark and return if time permits

Prioritization Framework

1. High Confidence, Low Time: Attempt immediately
2. High Confidence, High Time: Attempt with time management
3. Low Confidence, Low Time: Consider partial attempt
4. Low Confidence, High Time: Skip initially

= Common Mistakes & Avoidance

Conceptual Errors

Physics Mistakes

• Force Analysis: Missing friction, tension components
• Energy Conservation: Ignoring non-conservative forces
• Sign Conventions: Incorrect direction assignments
• Unit Consistency: Mixed units in calculations

Chemistry Errors

• Stoichiometry: Incorrect mole calculations
• Equilibrium: Wrong concentration expressions
• Mechanisms: Missing intermediate steps
• Structures: Incorrect resonance forms

Calculation Mistakes

Mathematical Errors

• Sign Errors: Negative sign mistakes
• Algebraic Manipulation: Incorrect factoring
• Trigonometric Values: Wrong angle relationships
• Calculus Applications: Integration/differentiation errors

Strategy Mistakes

Approach Errors

• Premature Selection: Not evaluating all options
• Incomplete Analysis: Missing aspects of question
• Risk Management: Poor decision on attempts
• Time Mismanagement: Spending too long on single question

=� Practice Materials

Question Banks by Difficulty

Beginner Level

• Basic Concepts: Foundation building questions
• Single Concept: One principle per question
• Clear Options: Distinct correct and incorrect choices
• Time Target: 2-3 minutes per question

Intermediate Level

• Multiple Concepts: Integration of principles
• Subtle Differences: Close option variations
• Partial Marking: Some combination scoring
• Time Target: 3-4 minutes per question

Advanced Level

• Complex Analysis: Deep reasoning required
• All Options Plausible: Careful evaluation needed
• Integration Problems: Cross-topic questions
• Time Target: 4-5 minutes per question

Mock Test Series

Section-wise Tests

• Physics Section: 18 questions, 54 marks
• Chemistry Section: 18 questions, 54 marks
• Mathematics Section: 18 questions, 54 marks
• Time Allocation: 60 minutes per section

Complete Papers

• Full Syllabus: 54 questions, 162 marks
• Time Management: 3 hours total
• Performance Analysis: Detailed score breakdown
• Rank Prediction: Estimated All India Rank

<� Success Stories

Topper Strategies

All India Rank 1 (2023)

• Approach: Systematic option evaluation
• Time Management: Average 2.5 minutes per question
• Success Rate: 85% in multi-correct questions
• Key Strategy: Skip uncertain questions initially

All India Rank 10 (2023)

• Method: Complete coverage of all options
• Practice: 500+ multi-correct questions practiced
• Analysis: Detailed error tracking and improvement
• Result: 92% accuracy in attempted questions

Improvement Journeys

Rank Jump 5000 to 500

• Focus Area: Multi-correct question strategies
• Practice Method: Daily 20 questions with analysis
• Time Reduction: From 4 minutes to 2.5 minutes per question
• Score Improvement: 40% increase in section score

=� Digital Resources

Mobile Applications

JEE Advanced Prep Apps

• Question Banks: 1000+ multi-correct questions
• Performance Tracking: Detailed analytics
• Time Management: Practice with timer
• Solution Videos: Step-by-step explanations

Features

• Offline Access: Download and practice anywhere
• Progress Reports: Weekly performance summary
• Difficulty Levels: Adaptive question selection
• Peer Comparison: Rank among users

Online Platforms

Web Resources

• Interactive Tests: Real-time exam simulation
• Video Solutions: Expert explanations
• Discussion Forums: Doubt clearing
• Study Groups: Peer learning communities

=� Key Features

 1000+ Multi-Correct Questions - Comprehensive collection from previous years

 Detailed Solutions - Step-by-step explanations for every question

 Year-wise Analysis - Trend analysis and pattern recognition

 Difficulty Classification - Questions sorted by complexity level

 Time Management Tools - Practice with realistic time constraints

 Performance Analytics - Detailed progress tracking and insights

 Expert Strategies - Proven techniques from top rankers

 Mock Test Series - Full-length practice exams

 Error Analysis - Common mistakes and avoidance strategies

 Success Stories - Learning from topper experiences

<� Master Multi-Correct Questions: Develop the skills and confidence to excel in JEE Advanced’s most challenging question format!