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  1. Prepare for an exam
  2. /AMU B.Tech Test
Exam preparation

AMU B.Tech Test preparation

AMU's B.Tech admission test selects students for engineering at Aligarh Muslim University. Students who finish Class 12 with Physics, Chemistry and Mathematics take it, and it tests those three. Check the official notice each year, as the pattern can change.

4,417 questions · 2,413 problems

With a Standard plan

Paper pattern

The AMU B.Tech Test exams follow this pattern.

The real exam: One objective paper of 100 MCQs (100 marks) on Physics, Chemistry and Mathematics, 2 hours; each wrong answer loses 0.25 mark.

AMU B.Tech Test syllabus

77 units in Physics, Chemistry and Mathematics. Source: Aligarh Muslim University, Faculty of Engineering & Technology, Syllabus for B.Tech. (B.Arch. Paper I common), from the Entrance Syllabus page of results.amucontrollerexams.com; Guide to Admissions 2026-27 (amucontrollerexams.com). Opened 2026-11-10.

Physics · 19 units

Physics

  • Physical World and Measurement
  • Kinematics
  • Laws of Motion
  • Work, Energy and Power
  • Motion of System of Particles and Rigid Body
  • Gravitation
  • Properties of Bulk Matter
  • Thermodynamics
  • Behaviour of Perfect Gas and Kinetic Theory
  • Oscillations and Waves
  • Electrostatics
  • Current Electricity
  • Magnetic Effects of Current and Magnetism
  • Electromagnetic Induction and Alternating Currents
  • Electromagnetic Waves
  • Optics
  • Dual Nature of Matter and Radiation
  • Atoms & Nuclei
  • Electronic Devices
Chemistry · 30 units

Class XI

Question sets

No timer. Work at your own pace.

  • PhysicsNEET Physics: Optics20 questions
  • PhysicsNEET Physics: Dual Nature, Atoms and Nuclei20 questions
  • PhysicsNEET Physics: Magnetism, Induction and AC

Practice questions and problems

A mix of levels. Try each one on paper before you see the answer.

Physics

Questions

  • HardUnpolarised light of intensity I₀ falls on three polaroids P1, P2 and P3 in a row, all facing the beam as the figure shows. A polaroid passes only light polarised along its transmission axis. The transmission axes of P1, P2 and P3 make angles of 0°, 30° and 90° with the vertical. What is the intensity of the light that comes out of P3?
  • MediumA toolbox of mass 0.70 kg sits on a trolley of mass 2.1 kg. The trolley rolls without friction and is joined to a fixed post by a spring of 135 N/m. The friction coefficient between toolbox and trolley is 0.32. The trolley is pulled aside and released. How far can it be pulled before the toolbox slides?

Preparing for another exam?

  • JEE Main
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  • NEET
  • Olympiads
  • Board Exams
  • Python Certification
  • SAT
  • AP
  • A-Level
  • IB
  • MHT-CET
  • Some Basic Concepts of Chemistry
  • Structure of Atom
  • Classification of Elements and Periodicity in Properties
  • Chemical Bonding and Molecular Structure
  • States of Matter : Gases and Liquids
  • Chemical Thermodynamics
  • Equilibrium
  • Redox Reactions
  • Hydrogen
  • s-Block Elements (Alkali and Alkaline earth metals)
  • Some p-Block Elements
  • Organic Chemistry - Some Basic Principles and Techniques
  • Hydrocarbons
  • Environmental Chemistry
  • Class XII

    • Solid State
    • Solutions
    • Electrochemistry
    • Chemical Kinetics
    • Surface Chemistry
    • General Principles and Processes of Isolation of Elements
    • p-Block Elements
    • d and f-Block Elements
    • Coordination Compounds
    • Haloalkanes and Haloarenes
    • Alcohols, Phenols and Ethers
    • Aldehydes, Ketones and Carboxylic Acids
    • Organic Compounds Containing Nitrogen
    • Biomolecules
    • Polymers
    • Chemistry in Every Day Life
    Mathematics · 28 units

    Class XI, Unit I: Sets and Functions

    • Sets
    • Relations & Functions
    • Trigonometric Functions

    Class XI, Unit II: Algebra

    • Principle of Mathematical Induction
    • Complex Numbers and Quadratic Equations
    • Linear Inequalities
    • Permutations and Combinations
    • Binomial Theorem
    • Sequence and Series

    Class XI, Unit III: Coordinate Geometry

    • Straight Lines
    • Conic Section
    • Introduction to Three Dimensional Geometry

    Class XI, Unit IV: Calculus

    • Limits and Derivatives

    Class XI, Unit V: Mathematical Reasoning

    • Mathematical Reasoning
    • Probability

    Class XII, Unit I: Relations and Functions

    • Relations and Functions
    • Inverse Trigonometric Functions

    Class XII, Unit II: Algebra

    • Matrices
    • Determinants

    Class XII, Unit III: Calculus

    • Continuity and Differentiability
    • Applications of Derivatives
    • Integrals
    • Applications of the Integrals
    • Differential Equations

    Class XII, Unit IV: Vectors and Three Dimensional Geometry

    • Vectors
    • Three - dimensional Geometry

    Class XII, Unit V: Linear Programming

    • Linear Programming

    Class XII, Unit VI: Probability

    • Probability
    20 questions
  • PhysicsNEET Physics: Electrostatics20 questions
  • PhysicsNEET Physics: Current Electricity20 questions
  • MathematicsCorrelation and Regression: Think It Through10 questions
  • All AMU B.Tech Test question sets →

  • HardTwo statements about interference of light from two narrow slits, lit by the same coherent monochromatic source, are given below. Statement I: With the screen where it is, moving the two slits closer together makes the fringes on the screen narrower. Statement II: At the dark fringes the energy of the two waves is destroyed, so the total energy reaching the screen is less than the sum of the two separate beams.
  • AdvancedSix statements about wavefronts and interference are given below. (i) Light from two sodium lamps gives a steady interference pattern. (ii) Coherent waves of intensity I₀ each give 4I₀ in phase. (iii) A point source at a lens focus gives plane wavefronts. (iv) A small part of a distant spherical wavefront is nearly plane. (v) A wavefront joins points that oscillate with a phase difference of π. (vi) A reflected plane wave obeys the law of reflection. How many of the statements above are correct?
  • AdvancedAssertion (A): A narrow beam of light of a single colour passes from air into a glass block. The frequency of the light in the glass is the same as its frequency in air. Reason (R): The speed of the light in the glass is smaller than its speed in air.
  • More Physics questions for AMU B.Tech Test →

    Problems with worked solutions

    • HardA student studies a glass prism whose refracting angle is 60° and whose refractive index is 1.50…
    • AdvancedLight of wavelength 500 nm falls at right angles on a barrier with two long parallel slits…
    • AdvancedIn a Young's double-slit experiment, light of wavelength 600 nm in air falls on two narrow slits S1…
    • MediumA NAND gate is a universal gate. Use the standard constructions to find how many NAND gates are…
    • HardA student examines a slide of pond algae with a compound microscope…
    More Physics problems for AMU B.Tech Test →

    Chemistry

    Questions

    • AdvancedExcess silver powder is shaken at 298 K with a solution of iron(III) perchlorate, [Fe³⁺] = 0.100 mol L⁻¹, in dilute perchloric acid. The acid stops the iron(III) ions from hydrolysing, and perchlorate does not react. The reaction is Ag(s) + Fe³⁺(aq) ⇌ Ag⁺(aq) + Fe²⁺(aq). At the start there are no Ag⁺ or Fe²⁺ ions. Take E°(Fe³⁺/Fe²⁺) = 0.77 V, E°(Ag⁺/Ag) = 0.80 V and 2.303RT/F = 0.059 V. Treat the solution as ideal, and take its volume as fixed. The mixture is left until it reaches equilibrium. What is [Ag⁺] at equilibrium? Give the answer in mmol L⁻¹, to two decimal places.
    • AdvancedHow many of these are electron deficient: B₂H₆, (AlH₃)n, CH₄, NH₃ and H₂O?
    • HardA student compares the geometry of four pairs of species. In which pair do both species have the same geometry?
    • MediumWhy is the F-F bond weaker than the Cl-Cl bond although fluorine atoms are smaller?
    • HardA chemist passes 0.45 mol of chlorine into hot, concentrated sodium hydroxide. How many moles of sodium chlorate form?
    More Chemistry questions for AMU B.Tech Test →

    Problems with worked solutions

    • HardA sample of 24.53 g of XeF6 (245.3 g/mol) is hydrolysed completely to XeO3 (179.3 g/mol) and…
    • AdvancedA 25.0 mL sample contains both hydrochloric acid and acetic acid…
    • HardAqua regia is made by mixing 30.0 mL of concentrated hydrochloric acid (12.0 mol/L) with 10.0 mL of…
    • MediumA chemist heats 26.26 g of xenon (131.3 g/mol) with fluorine at 573 K and 60 bar, and all the xenon…

    Mathematics

    Questions

    • AdvancedA game counts the heads X in 10 tosses of a fair coin and pays X² - 10 rupees. A player pays no entry fee. What is the expected payout, in rupees?
    • HardThe figure shows the number of cups of hot drinks sold by a cafe against the noon temperature on eight days. The line of best fit passes through the point of the means, (24, 50), and its slope is -2.5 cups for each degree. What number of cups does the line predict for a noon temperature of 30 °C?
    • AdvancedThree cards are in a hat. One card is red on both sides. One card is white on both sides. The third card is red on one side and white on the other. A card is drawn at random and put on a table. The side facing up is red. What is the probability that the side facing down is also red?
    • HardFor a data set, the regression coefficient of y on x is -2 and the regression coefficient of x on y is -0.125. What is the correlation coefficient?
    • MediumA student finds that the correlation between two variables is 0.5 and says that the line explains 50% of the variation in y. A teacher says that this is wrong. What is the correct percentage?
    More Mathematics questions for AMU B.Tech Test →

    Problems with worked solutions

    • HardA farmer records the number of days x since a seedling was planted and its height y in centimetres…
    • AdvancedA researcher measures the same quantity in two groups of 50 people each…
    • HardA study of two variables gives the two regression lines 6x - 5y + 10 = 0 and 10x - 3y - 26 = 0…
    • MediumA dealer records the age x of six cars in months and the value y of each in hundreds of pounds: x =…
    • All 2,413 AMUEEE problems →
    • All 4,417 AMUEEE questions →
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  • AdvancedA cell is built from a hydrogen electrode and a silver chloride electrode, both dipping into the…
    More Chemistry problems for AMU B.Tech Test →
    AdvancedThe regression lines of y on x and of x on y for some data have the correlation r = 0.6, with σx =…
    More Mathematics problems for AMU B.Tech Test →