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VITEEE Practice

Question Bank

20 years of previous papers — 2,389 MCQs

3120 questions · 2006–2025 · Physics · Chemistry · Maths

Class

Duration

10 min8 questions

30 min25 questions

1 hour50 questions

2.5 hrs125 questions

Question Distribution

Subject	Questions

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Major Change for 2026: VITEEE has introduced negative marking for the first time. +4 per correct, -1 per wrong. Total marks: 500. This fundamentally changes test strategy — accuracy now beats volume.

Exam Structure

Parameter	2025 (Old)	2026 (New)
Total Questions	125 MCQs	125 MCQs
Duration	2 hrs 30 min	2 hrs 30 min
Marks per correct	+1	+4
Negative marking	None	-1 per wrong
Total marks	125	500
Exam dates	Apr 20-27	Apr 28 – May 3

Subject-wise Distribution

Subject	Questions	Max Marks	Time to Allocate
Mathematics	40	160	50-55 min
Physics	35	140	40-45 min
Chemistry	35	140	35-40 min
Aptitude	10	40	10-13 min
English	5	20	5-7 min
Total	125	500	150 min

Key Facts

Mode: Computer-Based Test (CBT), English only
3 shifts per day: 9:00 AM, 12:30 PM, 4:00 PM
Slot selection: First-come-first-served via OTBS portal
Normalization: Equipercentile equating across shifts — harder papers don't penalize you
90-95% questions are NCERT-based — this is the single most important prep insight
Registration deadline 2026: March 31, 2026

Class 12 topics dominate: 60-65% of Physics and Chemistry questions come from Class 12 syllabus. But don't skip Class 11 — it still accounts for 35-40% of questions.

Physics — 35 Questions

Chapter	Approx. Questions	Weightage	Class
Electrostatics + Current Electricity	6-7	~19%	12th
EMI & Alternating Current	3-4	~11%	12th
Mechanics (Laws of Motion, Work-Energy)	3-4	~10%	11th
Moving Charges & Magnetism	3	~8.5%	12th
Optics (Ray + Wave)	2-3	~7%	12th
Modern Physics (Photoelectric, Nuclear)	2-3	~7%	12th
Semiconductors & Devices	2-3	~7%	12th
Thermodynamics & Kinetic Theory	2	~5.7%	11th
Waves & Oscillations	2	~5.7%	11th
EM Waves	2	~5.7%	12th
Gravitation	1-2	~4%	11th

Chemistry — 35 Questions

Branch split: Organic 35-40% (12-14 Qs) · Physical 30-35% (10-12 Qs) · Inorganic 25-30% (9-10 Qs)

Chapter	Approx. Questions	Branch
Alcohols, Aldehydes, Ketones, Carboxylic Acids	3-4	Organic
Coordination Compounds	2-3	Inorganic
Chemical Bonding	2-3	Inorganic
Thermodynamics & Thermochemistry	2-3	Physical
Electrochemistry	2	Physical
Chemical Kinetics	2	Physical
Hydrocarbons	2-3	Organic
Haloalkanes & Haloarenes	1-2	Organic
Amines & Nitrogen Compounds	1-2	Organic
Biomolecules & Polymers	1-2	Organic
p-Block Elements	2	Inorganic
d & f Block Elements	1-2	Inorganic
Solutions & Colligative Properties	1-2	Physical
Equilibrium (Ionic + Chemical)	1-2	Physical

Mathematics — 40 Questions

Chapter	Approx. Questions	Weightage
Calculus (Differentiation + Integration + Area)	8-10	~22%
Coordinate Geometry (Lines, Circles, Conics)	5-6	~14%
Algebra (Complex Numbers, Quadratics, Sequences)	4-5	~11%
Matrices & Determinants	3-4	~9%
Vector Algebra & 3D Geometry	3-4	~9%
Probability & Statistics	3-4	~9%
Differential Equations	2-3	~6%
Trigonometry	2-3	~6%
Binomial Theorem	2-3	~6%
Sets, Relations & Functions	1-2	~4%

Aptitude (10 Qs) + English (5 Qs)

Aptitude topics:

Data Interpretation (charts, graphs, tables)
Data Sufficiency
Syllogism (statements + conclusions)
Number Series, Coding & Decoding
Clocks, Calendars & Directions

English topics:

Reading Comprehension
Grammar (tenses, articles, prepositions)
Sentence Correction
Pronunciation & Stress

These 15 questions are the easiest 60 marks in the exam. Most students skip preparing for them — that's a mistake. 15-20 minutes of exam time for guaranteed marks.

Top 20 Chapters by ROI (Questions Per Study Hour)

Master these first — they cover ~80% of the paper.

The math of negative marking: A student answering 110 questions at 85% accuracy scores 357/500. One attempting all 125 at 70% accuracy scores only 313/500. Accuracy beats volume.

Optimal Attempt Order

Start with the easiest sections to bank guaranteed marks and build confidence:

Order	Section	Questions	Time	Why This Order
1st	English	5	~5 min	Quick wins, build confidence
2nd	Aptitude	10	~10 min	Easy marks banked early
3rd	Chemistry	35	~35 min	Memory-based, faster than Physics/Maths
4th	Physics	35	~40 min	Mix of conceptual and numerical
5th	Mathematics	40	~50 min	Most time-consuming, attempt last
	Buffer/Review	—	~10 min	Revisit flagged questions

The Two-Pass Method

Pass 1 (First 100 min): Go through all questions. Solve only those you're confident about. Mark uncertain ones for review. Do NOT guess.

Pass 2 (Last 50 min): Return to flagged questions. If you can eliminate 2 out of 4 options → guess. If you can't eliminate any → leave blank.

When to Guess (The Math)

Scenario	Expected Value	Action
Eliminated 2 options (50/50)	+4×0.5 - 1×0.5 = +1.50	Guess!
Eliminated 1 option (1 in 3)	+4×0.33 - 1×0.67 = +0.65	Risky but positive
No elimination (1 in 4)	+4×0.25 - 1×0.75 = +0.25	Leave blank — not worth the variance

Time Management Rules

90-second rule: If a question doesn't click in 90 seconds, flag it and move on immediately
Never spend 3+ minutes on one question — that costs you 2-3 easy marks elsewhere
Check the clock at question 60 — you should have 70+ minutes remaining
Last 10 minutes: Stop solving new questions. Review flagged ones. Make educated guesses on marked questions where you can eliminate options

Daily schedule: Physics 1 hr · Chemistry 1 hr · Mathematics 1.5 hrs · English & Aptitude 30 min · Revision 1 hr = 5 hours minimum daily

Week 1 — Foundation & High-Yield Topics

Days 1-7

Physics: Electrostatics, Current Electricity, EMI & AC, Magnetic Effects
Chemistry: Coordination Compounds, Chemical Bonding, Carbonyl Compounds, Electrochemistry
Maths: Calculus (Integration, Differentiation), Matrices, Vectors
Daily: 20-30 questions per subject. Make formula sheets.
End of week: 1 full mock test on Day 7.

Week 2 — Fill Gaps & Practice

Days 8-14

Complete remaining chapters — don't skip anything (even low-weightage chapters give 1-2 easy questions)
Practice PYQs chapter-wise — use this app's question bank
English: Grammar, comprehension, vocabulary daily (15 min)
Aptitude: Data interpretation, logical reasoning (15 min)
Mock tests: 1 every alternate day (3 total this week). Analyze every error.

Week 3 — Mock Test Sprint

Days 15-21

Full mock every alternate day (4 tests this week)
After each mock: Spend equal time analyzing mistakes. Categorize errors as: silly mistake, conceptual gap, or time issue.
Error log: Maintain a notebook of every mistake. This alone can improve scores by 10-15 marks.
Revise weak areas identified from mocks.

Week 4 — Sharpen & Peak

Days 22-30

Revise from formula sheets only — no textbooks
1 mock test daily in the last 5 days
Target: Finish mocks in 140 minutes (keep 10 min buffer)
No new topics. Only revision and practice.
Days 29-30: Light revision, relax, sleep 7-8 hours. No heavy study on exam eve.

Pro tip from toppers: "Teaching what you learn" — explaining concepts aloud solidifies understanding and reveals gaps. Maintain an error log and review it before the exam.

1. Skipping Aptitude & English

These 15 questions = 60 marks with almost zero prep. Many students lose 10-12 easy marks by neglecting them. This is the lowest-effort, highest-return fix.

2. Blind Guessing (NEW with Negative Marking)

Unlike previous years, VITEEE 2026 penalizes wrong answers. Only guess when you can eliminate 2+ options. A random 1-in-4 guess has a net expected value of just +0.25 — not worth the variance across many questions.

3. Getting Stuck on Hard Questions

Average time per question: 72 seconds. Anything beyond 90 seconds should trigger you to move on. Spending 3 minutes on one question costs you 2-3 easy marks elsewhere.

4. Too Many Study Resources

Stick to NCERT + 1-2 reference books per subject. Multiple books cause confusion and scattered preparation. NCERT alone covers 90%+ of questions.

5. Skipping Mock Tests

Mock tests are the single most important preparation tool. Students who skip mocks are slower and less accurate on exam day. Take at least 10 full-length mocks.

6. Not Analyzing Mock Errors

Taking mocks without reviewing errors is wasted effort. After every mock, spend equal time analyzing mistakes. Categorize: silly mistake, conceptual gap, or time issue.

7. Starting with Maths

Unless Maths is genuinely your strongest subject, never start with it. It's calculation-heavy and can consume disproportionate time, leaving fewer minutes for easier sections.

8. Last-Minute Cramming

In the final 2 days, revise only what you already know. Trying to learn new topics causes anxiety and confusion. A well-rested mind performs 15-20% better than a sleep-deprived one.

VIT uses 5 categories (1 through 5). Category 1 has the highest cutoffs. Your rank determines your category, which determines which branches you can get during counseling.

Score → Rank → Branch (2025 Data)

Score (out of 125)	Approx. Rank	What You Can Get
118-125 (94%+)	Top 250	CSE at VIT Vellore (Category 1)
110-117 (88-93%)	250-750	Top CSE branches at Vellore
99-109 (79-87%)	750-2,800	CSE specializations at Vellore
90-98 (72-78%)	2,800-4,500	AI/ML, CSE variants at Vellore
80-89 (64-71%)	4,500-6,500	Good branches at Vellore or top at Chennai
70-79 (56-63%)	6,500-8,500	Mid-tier at Vellore or CSE at Chennai/AP
50-59	15,000-25,000	EEE/Mech at Vellore or CSE at other campuses
Below 50	25,000+	Bhopal/AP campuses, non-CSE

CSE Closing Ranks by Campus (2025, Category 1)

Campus	CSE	CSE Specializations	ECE
VIT Vellore	~950	~2,800	~6,000
VIT Chennai	~8,000	~11,500	~15,000
VIT Bhopal	~30,000	~35,000	~60,000
VIT AP	~45,000	~55,000	~80,000

The Accuracy Equation (2026 Pattern)

With +4/-1 marking, here's how different strategies compare:

Strategy	Attempted	Accuracy	Score (/500)
Careful + accurate	110	85%	357
Very selective	90	95%	338
Attempt everything	125	70%	313
Reckless guessing	125	60%	253

Sweet spot: Attempt 100-110 questions with 80-85% accuracy. Skip questions where you can't eliminate even 1 option.

VITEEE vs JEE Main

Aspect	VITEEE	JEE Main
Difficulty	Moderate (NCERT+)	Hard (beyond NCERT)
NCERT dependence	90%+	60-70%
Negative marking	-1 (new in 2026)	-1
Time per question	72 seconds	120 seconds
Question types	MCQ only	MCQ + Numerical

If preparing for JEE Main, you're already over-prepared for VITEEE. A JEE score of 150/300 can translate to 100+/125 in VITEEE with 2-3 weeks of targeted prep.

VITEEE 2025 was held April 20-27 across 24 slots (3 shifts/day). Results declared May 5. Below is what actually happened.

Shift-wise Difficulty

Shift	Difficulty	Notes
Apr 20, Slot 3	7.5/10 (Hardest)	Physics had brutal numericals; Math extremely lengthy
Apr 24, Slot 1	7.5/10 (Hardest)	JEE-level questions appeared in Maths
Apr 23, Slot 3	6.6/10	Physics and Maths tricky; some Bio from deleted syllabus
Most other shifts	5-6/10	Moderate, as expected
Apr 25-27 shifts	5.7-6.2/10	Generally easier

VIT uses equipercentile normalization — harder papers don't penalize students.

Subject-wise Verdict

Chemistry — Easiest

Organic Chemistry dominated massively
Heavily NCERT-based
Students who memorized formulas scored easily
Physical Chemistry was moderate

Mathematics — Hardest

Universally cited as most challenging
Students ran out of time due to lengthy calculations
Multi-step, mixed-concept problems
Heavy Class 12 syllabus weightage

Physics — Moderate

More numerical/calculation-based than conceptual
Formula application + calculation-heavy problems

Actual Topics That Appeared (Memory-Based)

Physics:

Electrostatics (capacitors, Coulomb's law)
Sound Waves (2-3 questions)
Work, Power, Energy
Magnetic Effect of Current
Optics, Semiconductors

Chemistry:

Carbonyl compounds, Alcohols
Electrochemistry (Faraday, Nernst)
Atomic Structure
Redox reactions (easy)
IUPAC naming

Mathematics: Calculus (3-4 Qs per slot), Probability (2-3 Qs), Vectors & 3D Geometry (4-5 Qs), Conics, Matrices

Sample Questions from 2025 (Student Recalled)

Question	Subject	Answer
Force F between charges. Each halved, distance halved. New force?	Physics	F
Capacitor 10μF, distance halved. New capacitance?	Physics	20μF
Ball dropped from 20m. Velocity before hitting ground?	Physics	20 m/s
pH of 0.01M NaOH?	Chemistry	12
Oxidation number of S in H₂SO₄?	Chemistry	+6
IUPAC name of CH₃CH₂COOH?	Chemistry	Propanoic acid
Strongest oxidizing agent (F₂, Cl₂, Br₂, I₂)?	Chemistry	F₂
Which year has same calendar as 2025?	Aptitude	2014

Notice the level — these are board-level questions. NCERT mastery is sufficient.

Key Surprises from 2025

PYQ repetitions: Some previous year questions repeated almost verbatim (Apr 24 Slot 2). Practicing PYQs directly pays off!
Organic Chemistry dominance: Disproportionate emphasis vs previous years
Heavy Class 12 tilt: More Class 12 questions than expected
Physics went numerical: Calculation-heavy rather than conceptual
Biology from deleted portions: ~5-6 questions from officially removed syllabus topics (Apr 23 Slot 3)

CBSE Deleted ≠ VITEEE Deleted: VIT has its own syllabus (from vit.ac.in). Topics removed from CBSE boards 2025-26 can and do appear in VITEEE. In 2025, ~5-6 questions came from CBSE-deleted portions. Topics marked CBSE DELETED below are not in CBSE boards but ARE in VITEEE.

Physics — 35 Questions (7 Units)

Unit / Topic	Official Sub-topics (from VIT PDF)	CBSE 25-26
1. Mechanics & Properties of Matter	Conservation of linear momentum, Static/kinetic friction, Work-energy theorem, Vertical circle, Elastic/inelastic collisions, Stress-strain, Hooke's law, Young's/Bulk/Shear modulus, Poisson's ratio, Viscosity, Stokes' law, Bernoulli's theorem	In CBSE
Heat & Thermodynamics	Zeroth/First/Second law, Isothermal & Adiabatic, Reversible/Irreversible, Cp/Cv, Latent heat, Wien's law, Stefan's law	In CBSE
2. Electrostatics	Coulomb's law, Superposition, Electric field/dipole, Gauss's law, Capacitors with/without dielectric, Van de Graaff generator	In CBSE
3. Current Electricity	Drift velocity, Ohm's law, V-I characteristics, Resistivity, Internal resistance, EMF, Cells in series/parallel	In CBSE
Current Electricity — Advanced	Carbon resistors colour code, Wheatstone Bridge, Metre bridge, Potentiometer — comparing EMF of two cells	CBSE DELETED
Magnetic Effects	Biot-Savart law, Tangent galvanometer, Ampere's circuital law, Force on moving charge, Forces between parallel conductors	In CBSE
Magnetic Effects — Advanced	Cyclotron, Moving coil galvanometer, Magnetic dipole moment of revolving electron	CBSE DELETED
4. EMI & Alternating Current	Faraday's law, Lenz's law, Self/Mutual inductance, Methods of inducing EMF, AC generator (single/three phase), Transformer, LCR circuit, Resonance, Q-factor	In CBSE
EMI — Eddy Currents	Eddy current — applications	CBSE DELETED
5. Optics	Spherical mirrors, Refraction, TIR, Lenses, Thin lens formula, Lens maker's formula, Magnification, Prism dispersion	In CBSE
Optics — Advanced	Resolving power, Combination of lenses & mirror, Newton's rings, Colours in thin films	CBSE DELETED
Wave Optics	Huygens's principle, Young's double slit, Fringe width, Coherent source, Diffraction	In CBSE
Wave Optics — Polarisation	Polarisation by reflection, Brewster's law, Double refraction, Nicol prism, Uses of plane polarised light	CBSE DELETED
6. Dual Nature, Atomic & Nuclear	Displacement current, EM waves & spectrum, Photoelectric effect, Photocells	In CBSE
Atomic Structure	Thomson's method, Millikan's oil drop, Alpha scattering, Rutherford model	In CBSE
Nuclear Physics	Nuclear radii/masses/binding energy, Radioactivity — alpha/beta/gamma, Decay law, Half-life, Mean life, Artificial radioactivity, Radio isotopes, Radio carbon dating, Nuclear fission/fusion, Chain reaction	CBSE DELETED
7. Semiconductor Devices	Energy bands, Intrinsic/Extrinsic, P-N junction, Diode as rectifier	In CBSE
Semiconductors — Advanced	Zener diode, LED, Junction transistor (switch/amplifier/oscillator), Logic gates (NOT, OR, AND, EXOR, NAND, NOR), De Morgan's theorem, Boolean algebra	CBSE DELETED

Chemistry — 35 Questions (7 Units)

Unit / Topic	Official Sub-topics (from VIT PDF)	CBSE 25-26
1. Physical Chemistry
Atomic Structure	Bohr & Sommerfeld models, Quantum numbers, s/p/d/f orbital shapes, Pauli/Hund/Aufbau, Hydrogen spectrum (Lyman–Pfund), de Broglie, Heisenberg, Schrodinger equation, Hybridization	In CBSE
Thermodynamics & Kinetics	I & II laws, Entropy, Gibbs free energy, Rate expression, Order/molecularity, Zero/first/pseudo-first order, Arrhenius equation, Collision theory	In CBSE
Solutions	Colligative properties, Molality/molarity/mole fraction, Raoult's law, Ideal & non-ideal solutions, Vapour pressure-composition plots	In CBSE
2. Inorganic & Material Chemistry
s-Block Elements	Properties and chemical reactivity of alkali & alkaline earth metals	In CBSE
p-Block Elements	PCl3, PCl5, Oxides, Hydrogen halides, Inter-halogen compounds, Xenon fluoride compounds	Partial
d-Block Elements	Electronic config, Oxidation states, Colours, Extraction of Cu/Ag/Au/Zn, CuSO4/AgNO3/K2Cr2O7 preparation	In CBSE
Lanthanides	Electronic config, Oxidation states, Lanthanide contraction, Comparison with Actinides	In CBSE
Coordination Chemistry	IUPAC nomenclature, Isomerism (4 & 6 coordinate), Werner's theory, VBT, Bioinorganic (Haemoglobin, Chlorophyll)	In CBSE
Solid-State Chemistry	Lattice, Unit cell, Crystal systems, Packing, Ionic crystals, Point defects, X-Ray diffraction	In CBSE
Surface Chemistry	Adsorption (physisorption/chemisorption), Catalysis (homogeneous/heterogeneous)	CBSE DELETED
3. Analytical Chemistry
Electrochemistry	Redox, Faraday's laws, Conductance (specific/equivalent/molar), Kohlrausch's law, pH, Buffer solutions, Nernst equation, Dry cell, Fuel cells, Corrosion	In CBSE
Environmental Chemistry	Atmospheric, water & soil pollution	In CBSE
4. Basic Organic Chemistry	Tetravalency, Hybridization, Functional groups, IUPAC nomenclature, Carbocations/carbanions/free radicals, Inductive/electromeric/resonance/hyperconjugation, Isomerism (structural/stereo/geometric/optical), R,S & D,L notation	In CBSE
5. Functionalized Organic Compounds
Alcohols & Ethers	1°/2°/3° alcohols, Glycol, Trihydric alcohols, Phenols, Benzyl alcohol, Anisole	In CBSE
Carbonyl Compounds	Aldehydes, Ketones, Benzaldehyde, Acetophenone, Benzophenone, Named reactions (Clemmensen, Wolff-Kishner, Cannizzaro, Claisen Schmidt, Benzoin, Aldol), Grignard reagents	In CBSE
Carboxylic Acids	Formic/Lactic/Oxalic/Succinic/Benzoic/Salicylic acid, Acetyl chloride, Acetamide, Acetic anhydride, Esters	In CBSE
6. Organic Nitrogen Compounds	Aliphatic/aromatic nitro compounds, Amines (1°/2°/3°), Benzylamine, Aniline, Nitriles, Diazonium salts	In CBSE
7. Biomolecules & Polymers
Biomolecules	Carbohydrates (glucose/fructose/sucrose), Amino acids, Peptides, Protein structure, Enzymes, Lipids, DNA & RNA	In CBSE
Polymers	Addition/condensation/copolymerization, Polythene, Nylon, Polyesters, Bakelite, Rubber, Biodegradable polymers	CBSE DELETED

Mathematics — 40 Questions (10 Units)

Unit / Topic	Official Sub-topics (from VIT PDF)	CBSE 25-26
1. Matrices & Applications	Algebra of matrices, Determinant properties, Adjoint/Inverse using determinants & elementary transformations, Rank, Consistency, Simultaneous linear equations (up to 3 variables)	In CBSE
Matrices — Advanced	Elementary transformations (row/column operations), Properties of determinants	CBSE DELETED
Linear Programming	Solution of LP problems in two variables	CBSE DELETED
2. Trigonometry & Complex Numbers	Trig & inverse trig functions, Heights & distances	In CBSE
Inverse Trig — Properties	Properties of inverse trigonometric functions	CBSE DELETED
Complex Numbers	Conjugate, Argand diagram, Modulus & argument, De Moivre's theorem, Cube & fourth roots	In CBSE
3. Analytical Geometry 2D	Straight line & family, Conics (parabola/ellipse/hyperbola) in standard & general forms, Directrix/Focus/Latus-rectum, Parametric form, Tangents & normals, Chord of contact	In CBSE
4. Vector Algebra	Scalar & vector product, Properties & applications	In CBSE
Vectors — Triple Product	Scalar and Vector triple product — Properties	CBSE DELETED
5. Analytical Geometry 3D	Distance, Section formula, Direction ratios/cosines, Angle between lines	In CBSE
3D Geometry — Advanced	Skew lines, Shortest distance, Line & plane equations, Intersection of line & plane, Coplanar lines	CBSE DELETED
6. Differential Calculus	Limits, Continuity, Differentiability, Maxima/Minima, Concavity, Points of inflexion	In CBSE
Calculus — Advanced	Tangent/Normal/Angle between curves, Rolle's theorem, Lagrange MVT, Taylor's & Maclaurin's series, Errors & approximations	CBSE DELETED
7. Integral Calculus	Definite integrals, Fundamental theorems, Properties, Reduction formulae	In CBSE
Integration — Advanced	Area of bounded regions, Length of curves	CBSE DELETED
8. Differential Equations	Formation, Order/Degree, Variables separable, Homogeneous, Linear equations & applications	In CBSE
9. Probability & Distributions	Axioms, Addition/Multiplicative law, Conditional probability, Bayes' theorem, Random variables, PDF, Expectation	In CBSE
Probability — Advanced	Variance, Discrete distributions: Binomial and Poisson	CBSE DELETED
10. Discrete Mathematics	Sets, Relations, Functions, Binary operations, AP/GP/HP, Binomial theorem, Counting techniques, Mathematical logic (statements, connectives, truth tables, tautology, contradiction)	VITEEE only

Aptitude — 10 Questions (5 Topics)

Topic	Official Sub-topics
1. Data Interpretation	Tabular Chart, Pie Chart, Bar Chart, Line Graph, Mixed Charts
2. Data Sufficiency	All topics combined
3. Syllogism	2 statements/2 conclusions, 3 statements/2 conclusions, 2 statements/4 conclusions, 3 statements/4 conclusions, 3 statements/3 conclusions
4. Number Series, Coding & Decoding	Number series, Letter-to-letter coding, Letter-to-number coding, Mixed coding
5. Clocks, Calendars & Directions	Mirror image of clock, Angle-based questions, Gain/loss per day, Finding days/dates, Odd days, Same calendar year, Direction sense, Distance between points

English — 5 Questions

MCQs to test comprehension of a short passage or line of poems, English grammar, and pronunciation. Passages, poems, dialogues, grammar, and pronunciation items are chosen to suit the level of higher secondary or equivalent education.

Strategy for CBSE-deleted topics: These are low-hanging fruit — most students skip them since they're not in boards. Preparing these gives you an edge. Focus especially on: Radioactivity & Nuclear Physics, Semiconductors (Zener/LED/Logic gates), Polarisation & Brewster's law, Surface Chemistry, Polymers, Rolle's/Lagrange MVT, Scalar triple product, Binomial & Poisson distributions. Expect 8-12 questions from CBSE-deleted portions.

Why study these? These chapters are removed from CBSE 2025-26 boards but appear in VITEEE. In 2025, ~8-12 questions came from these portions. Most students skip them — studying these gives you a competitive edge of 30-40 marks.

⚡ Physics — Deleted Chapters

1. Metre Bridge & Potentiometer

Unit: Current Electricity | Expected: 1 question | Difficulty: Medium

Key Concepts:
• Wheatstone Bridge: Balanced condition → P/Q = R/S. No current through galvanometer when bridge is balanced.
• Metre Bridge: Based on Wheatstone bridge. Unknown resistance X = R × l/(100−l), where l = balancing length. Wire has uniform cross-section.
• Potentiometer: Measures EMF without drawing current (null method). EMF comparison: E₁/E₂ = l₁/l₂. Internal resistance: r = R(l₁−l₂)/l₂.
• Potentiometer is preferred over voltmeter because it draws no current → no voltage drop error.
• Sensitivity: Increase by using longer wire or reducing EMF of driver cell.

Common VITEEE Questions: Finding unknown resistance using metre bridge, comparing EMFs using potentiometer, finding internal resistance of cell, identifying error sources in metre bridge.

2. Cyclotron

Unit: Magnetic Effects of Current | Expected: 1 question | Difficulty: Easy-Medium

Key Concepts:
• Principle: Charged particle in uniform magnetic field moves in circular path. Electric field accelerates it across the gap between two D-shaped electrodes (Dees).
• Cyclotron frequency: f = qB/(2πm) — independent of velocity and radius!
• Maximum KE: KE_max = q²B²R²/(2m), where R = radius of Dees.
• Cannot accelerate: Electrons (too light, relativistic quickly) and neutral particles (no charge).
• Magnetic dipole moment of revolving electron: μ = evr/2 = eL/(2mₑ), where L = angular momentum.
• Gyromagnetic ratio: μ/L = e/(2mₑ) = 8.8 × 10¹⁰ C/kg.

Common VITEEE Questions: Calculate cyclotron frequency, find max KE for given B and R, why electrons can't be accelerated, magnetic moment of orbiting electron.

3. Eddy Currents

Unit: Electromagnetic Induction | Expected: 1 question | Difficulty: Easy

Key Concepts:
• Definition: Circulating currents induced in bulk conductors when exposed to changing magnetic flux (Faraday's law).
• Minimization: Use laminated cores (thin insulated sheets) to reduce eddy current losses in transformers/motors.
• Applications: Electromagnetic braking (trains), induction furnace (melting metals), electric power meters, metal detectors, speedometers.
• Disadvantages: Heating losses in transformer cores, energy dissipation.
• Eddy currents oppose change in flux (Lenz's law) → produce braking torque.

Common VITEEE Questions: Identify applications of eddy currents, why transformer cores are laminated, explain electromagnetic braking principle.

4. Polarisation & Brewster's Law

Unit: Wave Optics | Expected: 1-2 questions | Difficulty: Medium

Key Concepts:
• Polarisation: Restricting vibrations of light to one plane. Proves light is a transverse wave.
• Malus's Law: I = I₀ cos²θ. When unpolarized light passes through polarizer, intensity halves (I₀/2). Second polarizer: I = (I₀/2)cos²θ.
• Brewster's Law: tan(i_p) = μ = n₂/n₁. At Brewster's angle, reflected light is completely polarized. Reflected and refracted rays are perpendicular (i_p + r = 90°).
• Double Refraction: In crystals like calcite/quartz, light splits into ordinary (O-ray) and extraordinary (E-ray). O-ray obeys Snell's law, E-ray doesn't.
• Nicol Prism: Made from calcite. Uses total internal reflection to eliminate O-ray. Produces plane-polarized light.
• Uses: Polaroid sunglasses, LCD screens, stress analysis, optical activity measurement.

Common VITEEE Questions: Malus's law intensity calculations (2-3 polarizers), find Brewster's angle for given refractive index, relationship between i_p and r, identify polarized vs unpolarized light.

5. Nuclear Physics — Radioactivity & Decay Law

Unit: Nuclear Physics | Expected: 2-3 questions | Difficulty: Medium-High

Key Concepts:
• Radioactivity: Spontaneous emission of α (He⁴₂), β (electron/positron), γ (photon) from unstable nuclei.
• Decay Law: N = N₀ e^(−λt), where λ = decay constant. Activity A = λN = A₀ e^(−λt).
• Half-life: T₁/₂ = 0.693/λ. After n half-lives: N = N₀/2ⁿ.
• Mean life: τ = 1/λ = T₁/₂/0.693 = 1.44 × T₁/₂.
• Alpha decay: A → (A−4) + He⁴₂. Reduces mass by 4, charge by 2.
• Beta decay: β⁻: neutron → proton + electron + antineutrino. β⁺: proton → neutron + positron + neutrino. Mass number unchanged.
• Gamma decay: No change in A or Z. Nucleus transitions from excited to ground state.
• Binding Energy: BE = [Zm_p + (A−Z)m_n − M] × 931.5 MeV. Higher BE/A → more stable.
• Carbon Dating: Uses C-14 (T₁/₂ = 5730 years). Age = (T₁/₂/0.693) × ln(N₀/N).
• Nuclear fission: Heavy nucleus splits (U-235 + neutron). Chain reaction needs critical mass.
• Nuclear fusion: Light nuclei combine (H → He). Requires extreme temperature (10⁷ K). Powers the sun.

Common VITEEE Questions: Calculate remaining nuclei after n half-lives, find decay constant from half-life, identify products of alpha/beta decay, binding energy per nucleon, carbon dating age calculation, fission vs fusion comparison.

6. Semiconductors — Zener Diode, LED & Logic Gates

Unit: Semiconductor Devices | Expected: 2-3 questions | Difficulty: Easy-Medium

Key Concepts:
• Zener Diode: Operates in reverse breakdown. Used as voltage regulator. V_out = V_Z (constant) regardless of input changes. Series resistance R_s = (V_in − V_Z)/I_Z.
• LED: Forward-biased p-n junction. Emits photons when electrons recombine with holes. Color depends on band gap: GaAs (IR), GaAsP (Red-Yellow), GaN (Blue), InGaN (Green).
• Logic Gates:
  • OR: Y = A + B (output 1 if any input is 1)
  • AND: Y = A · B (output 1 only if all inputs are 1)
  • NOT: Y = Ā (inverts input)
  • NAND: Y = A · B (universal gate)
  • NOR: Y = A + B (universal gate)
  • XOR: Y = A⊕B = AĀ + ĀB (output 1 if inputs differ)
• De Morgan's Theorems: A+B = Ā·B̄ and A·B = Ā+B̄
• Universal Gates: Any gate can be made from NAND alone or NOR alone.
• Boolean Algebra: A+A=A, A·A=A, A+1=1, A·0=0, A+Ā=1, A·Ā=0.

Common VITEEE Questions: Truth table identification, implement gate using NAND/NOR only, Zener voltage regulator calculations, simplify Boolean expressions, De Morgan's theorem applications, LED wavelength/energy.

🧪 Chemistry — Deleted Chapters

7. Surface Chemistry

Unit: Surface Chemistry | Expected: 1-2 questions | Difficulty: Easy-Medium

Key Concepts:
• Adsorption vs Absorption: Adsorption = surface phenomenon (exothermic, decreases with temperature). Absorption = bulk phenomenon.
• Physisorption: Weak van der Waals forces. Low enthalpy (20-40 kJ/mol). Reversible. Multilayer. Not specific.
• Chemisorption: Chemical bonds form. High enthalpy (80-240 kJ/mol). Irreversible. Monolayer. Specific.
• Freundlich Isotherm: x/m = kP^(1/n), where 0 < 1/n < 1. log(x/m) = log k + (1/n)log P.
• Langmuir Isotherm: x/m = aP/(1+bP). Assumes monolayer, uniform surface, no interaction between adsorbed molecules.
• Catalysis:
• Homogeneous: Catalyst in same phase (NO in lead chamber process, acid in ester hydrolysis)
• Heterogeneous: Catalyst in different phase (Fe in Haber process, V₂O₅ in contact process, Pt in catalytic converter)
• Catalyst properties: Lowers activation energy, doesn't change equilibrium position, not consumed, specific in action.
• Colloids: Particle size 1-1000 nm. Tyndall effect, Brownian motion, electrophoresis, coagulation. Hardy-Schulze rule: higher valency = better coagulation.

Common VITEEE Questions: Physisorption vs chemisorption comparison, identify type of catalysis, Freundlich isotherm plots, coagulation value order, Tyndall effect explanation.

8. Polymers

Unit: Polymers | Expected: 1-2 questions | Difficulty: Easy

Key Concepts:
• Addition Polymerization: Monomers with C=C double bond. No by-product. Examples: Polythene (ethene), PVC (vinyl chloride), Teflon (tetrafluoroethene), Polystyrene.
• Condensation Polymerization: Two different functional groups react. Water/HCl released. Examples: Nylon-6,6 (adipic acid + hexamethylenediamine), Dacron/PET (ethylene glycol + terephthalic acid), Bakelite (phenol + formaldehyde).
• Copolymerization: Two or more different monomers. Example: Buna-S (butadiene + styrene), Buna-N (butadiene + acrylonitrile).
• Important Polymers:
  • Nylon-6: Caprolactam (single monomer, ring-opening polymerization)
  • Nylon-6,6: Hexamethylenediamine + Adipic acid
  • Bakelite: Thermosetting (cross-linked). Used in electrical insulation.
  • Natural Rubber: cis-1,4-polyisoprene. Vulcanization with sulfur gives strength.
  • Neoprene: Polychloroprene. Oil-resistant synthetic rubber.
• Biodegradable Polymers: PHBV (poly-β-hydroxybutyrate-co-β-hydroxyvalerate), Nylon-2-nylon-6, PGA (polyglycolic acid).

Common VITEEE Questions: Identify monomer from polymer name, addition vs condensation classification, identify thermoplastic vs thermosetting, match polymer to application, vulcanization purpose.

📐 Mathematics — Deleted Chapters

9. Rolle's Theorem, Lagrange's MVT, Taylor's & Maclaurin's Series

Unit: Differential Calculus | Expected: 1-2 questions | Difficulty: Medium

Key Concepts:
• Rolle's Theorem: If f(x) is continuous on [a,b], differentiable on (a,b), and f(a) = f(b), then ∃ c ∈ (a,b) such that f'(c) = 0.
• Lagrange's MVT: If f(x) is continuous on [a,b] and differentiable on (a,b), then ∃ c ∈ (a,b) such that f'(c) = [f(b)−f(a)]/(b−a). Rolle's theorem is a special case when f(a)=f(b).
• Taylor's Series: f(x) = f(a) + f'(a)(x−a) + f''(a)(x−a)²/2! + f'''(a)(x−a)³/3! + ...
• Maclaurin's Series: Taylor's series at a=0. f(x) = f(0) + f'(0)x + f''(0)x²/2! + ...
• Important Maclaurin expansions:
  • eˣ = 1 + x + x²/2! + x³/3! + ...
  • sin x = x − x³/3! + x⁵/5! − ...
  • cos x = 1 − x²/2! + x⁴/4! − ...
  • ln(1+x) = x − x²/2 + x³/3 − ... (|x| ≤ 1)
  • (1+x)ⁿ = 1 + nx + n(n−1)x²/2! + ... (|x| < 1)

Common VITEEE Questions: Verify Rolle's theorem for given function, find c in Lagrange's MVT, expand function using Maclaurin's series, find nth term coefficient.

10. Scalar & Vector Triple Product

Unit: Vectors | Expected: 1 question | Difficulty: Medium

Key Concepts:
• Scalar Triple Product: [a b c] = a · (b × c) = determinant of 3×3 matrix of components.
• Volume of parallelepiped = |[a b c]|. If [a b c] = 0, vectors are coplanar.
• Properties: [a b c] = [b c a] = [c a b] (cyclic). [a b c] = −[b a c] (swap changes sign).
• Volume of tetrahedron = (1/6)|[a b c]|.
• Vector Triple Product: a × (b × c) = (a·c)b − (a·b)c. Note: a × (b × c) ≠ (a × b) × c in general.
• Coplanarity test: Four points A, B, C, D are coplanar if [AB AC AD] = 0.

Common VITEEE Questions: Calculate scalar triple product, find volume of parallelepiped/tetrahedron, test coplanarity of vectors/points, evaluate vector triple product.

11. 3D Geometry — Skew Lines, Shortest Distance & Plane Equations

Unit: 3D Geometry | Expected: 1-2 questions | Difficulty: Medium-High

Key Concepts:
• Skew Lines: Lines that are neither parallel nor intersecting (exist in different planes).
• Shortest Distance between skew lines:
  Lines: r = a₁ + λb₁ and r = a₂ + μb₂
  d = |[(a₂−a₁) · (b₁×b₂)]| / |b₁×b₂|
• Distance between parallel lines: d = |b × (a₂−a₁)| / |b|
• Equation of plane:
  • General: ax + by + cz + d = 0 (normal = (a,b,c))
  • Intercept form: x/a + y/b + z/c = 1
  • Normal form: r · n̂ = d
  • Through point with normal: a(x−x₁) + b(y−y₁) + c(z−z₁) = 0
• Angle between line and plane: sin θ = (b · n)/(|b||n|)
• Angle between two planes: cos θ = (n₁ · n₂)/(|n₁||n₂|)
• Coplanar lines: [(a₂−a₁) b₁ b₂] = 0
• Distance of point from plane: d = |ax₁ + by₁ + cz₁ + d| / √(a²+b²+c²)

Common VITEEE Questions: Find shortest distance between two lines, equation of plane through 3 points, angle between line and plane, distance of point from plane, check if lines are coplanar.

12. Properties of Inverse Trigonometric Functions

Unit: Trigonometry | Expected: 1 question | Difficulty: Medium

Key Concepts:
• Principal value ranges: sin⁻¹x ∈ [−π/2, π/2], cos⁻¹x ∈ [0, π], tan⁻¹x ∈ (−π/2, π/2)
• Key identities:
  • sin⁻¹x + cos⁻¹x = π/2
  • tan⁻¹x + cot⁻¹x = π/2
  • tan⁻¹x + tan⁻¹y = tan⁻¹[(x+y)/(1−xy)], when xy < 1
  • 2tan⁻¹x = sin⁻¹[2x/(1+x²)] = cos⁻¹[(1−x²)/(1+x²)]
  • sin⁻¹(−x) = −sin⁻¹x, cos⁻¹(−x) = π − cos⁻¹x
• Conversion formulas: sin⁻¹x = cos⁻¹(√(1−x²)) = tan⁻¹(x/√(1−x²))
• 3tan⁻¹x = tan⁻¹[(3x−x³)/(1−3x²)]

Common VITEEE Questions: Simplify expressions with inverse trig, find principal values, prove identities, solve equations involving inverse trig functions.

13. Linear Programming

Unit: Linear Programming | Expected: 1 question | Difficulty: Easy

Key Concepts:
• Objective function: Z = ax + by (to be maximized or minimized).
• Constraints: Linear inequalities (ax + by ≤ c, x ≥ 0, y ≥ 0).
• Feasible region: Set of all points satisfying all constraints. It's a convex polygon.
• Corner Point Method: Optimal solution occurs at a vertex (corner point) of the feasible region. Evaluate Z at each corner → pick max/min.
• Bounded vs Unbounded: Bounded region → both max and min exist. Unbounded → may or may not have optimal solution.
• Steps: (1) Formulate constraints as linear inequalities (2) Plot constraints (3) Find feasible region (4) Identify corner points (5) Evaluate Z at each corner (6) Pick optimal.

Common VITEEE Questions: Maximize/minimize objective function given constraints, identify feasible region, find corner points, formulate LP problem from word problem.

14. Binomial & Poisson Distributions

Unit: Probability & Statistics | Expected: 1-2 questions | Difficulty: Medium

Key Concepts:
• Binomial Distribution: X ~ B(n, p). Probability of exactly r successes in n trials:
  P(X=r) = ⁿCᵣ pʳ qⁿ⁻ʳ, where q = 1−p
  Mean = np, Variance = npq, SD = √(npq)
  Mean > Variance always (since q < 1).
• Conditions for Binomial: Fixed n trials, each trial has 2 outcomes, probability p is constant, trials are independent.
• Poisson Distribution: X ~ P(λ). For rare events with large n, small p:
  P(X=r) = e⁻λ λʳ/r!, where λ = np (mean)
  Mean = Variance = λ
• When to use Poisson: n is large (≥20), p is small (≤0.05), and np = λ is finite. Examples: defects per unit, calls per hour, accidents per day.
• Variance of discrete RV: Var(X) = E(X²) − [E(X)]² = Σx²P(x) − μ²

Common VITEEE Questions: Find probability of exactly r successes (Binomial), calculate mean and variance, Poisson probability for rare events, compare mean and variance to identify distribution.

15. Elementary Transformations & Matrix Properties

Unit: Matrices & Determinants | Expected: 1 question | Difficulty: Easy-Medium

Key Concepts:
• Row operations: Rᵢ ↔ Rⱼ (swap rows), Rᵢ → kRᵢ (multiply row by scalar), Rᵢ → Rᵢ + kRⱼ (add multiple of another row).
• Column operations: Same as row operations but for columns.
• Finding inverse by elementary transformations: Augment [A | I]. Apply row operations to reduce A to I. Result: [I | A⁻¹].
• Echelon form: Leading entry in each row is to the right of the one above. Zero rows at bottom.
• Determinant properties:
  • det(AB) = det(A) × det(B)
  • det(A⁻¹) = 1/det(A)
  • det(kA) = kⁿ det(A) for n×n matrix
  • Swapping two rows changes sign of determinant
  • Two identical rows → det = 0
  • det(Aᵀ) = det(A)

Common VITEEE Questions: Find inverse using row operations, evaluate determinants using properties, reduce to echelon form, find rank of matrix.

16. Area of Bounded Regions & Length of Curves

Unit: Integral Calculus | Expected: 1 question | Difficulty: Medium

Key Concepts:
• Area under curve: A = ∫ₐᵇ f(x) dx (between curve and x-axis). Use |f(x)| if curve goes below x-axis.
• Area between two curves: A = ∫ₐᵇ |f(x) − g(x)| dx. First find intersection points (limits).
• Common areas:
  • Circle x² + y² = a²: Area = πa²
  • Ellipse x²/a² + y²/b² = 1: Area = πab
  • Parabola y² = 4ax between x=0 and x=a: Area = 8a²/3
• Area using parametric curves: A = ∫ y(t) x'(t) dt
• Length of curve: L = ∫ₐᵇ √(1 + (dy/dx)²) dx
• Parametric length: L = ∫ √((dx/dt)² + (dy/dt)²) dt

Common VITEEE Questions: Find area enclosed between parabola and line, area of region bounded by two curves, area of ellipse segment, length of curve for given parametric equations.

📋 Quick Revision Checklist: Before the exam, ensure you can solve at least 2 problems from each chapter above. Total potential marks from deleted chapters: 30-48 marks (8-12 questions × 4 marks). Time investment: ~15-20 hours of focused study across all 16 topics. Priority order: Nuclear Physics → Semiconductors → Polarisation → Polymers → Surface Chemistry → MVT/Series → Triple Product → 3D Geometry → Distributions → Others.

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Physics — 35 Questions

Chemistry — 35 Questions

Mathematics — 40 Questions

Aptitude (10 Qs) + English (5 Qs)

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The Two-Pass Method

When to Guess (The Math)

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Week 2 — Fill Gaps & Practice

Week 3 — Mock Test Sprint

Week 4 — Sharpen & Peak

1. Skipping Aptitude & English

2. Blind Guessing (NEW with Negative Marking)

3. Getting Stuck on Hard Questions

4. Too Many Study Resources

5. Skipping Mock Tests

6. Not Analyzing Mock Errors

7. Starting with Maths

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Physics — 35 Questions (7 Units)

Chemistry — 35 Questions (7 Units)

Mathematics — 40 Questions (10 Units)

Aptitude — 10 Questions (5 Topics)

English — 5 Questions

⚡ Physics — Deleted Chapters

1. Metre Bridge & Potentiometer

2. Cyclotron

3. Eddy Currents

4. Polarisation & Brewster's Law

5. Nuclear Physics — Radioactivity & Decay Law

6. Semiconductors — Zener Diode, LED & Logic Gates

🧪 Chemistry — Deleted Chapters

7. Surface Chemistry

8. Polymers

📐 Mathematics — Deleted Chapters

9. Rolle's Theorem, Lagrange's MVT, Taylor's & Maclaurin's Series

10. Scalar & Vector Triple Product

11. 3D Geometry — Skew Lines, Shortest Distance & Plane Equations

12. Properties of Inverse Trigonometric Functions

13. Linear Programming

14. Binomial & Poisson Distributions

15. Elementary Transformations & Matrix Properties

16. Area of Bounded Regions & Length of Curves

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