The POLYCET-2021 examination, with a total of 120 full marks and a time limit of 2 hours. The paper is divided into three sections: Mathematics, Physics, and Chemistry.
Mathematics (Questions 1-50):
Covers topics like Trigonometry, Probability (e.g., probability of 53 Thursdays in a non-leap year, probability of drawing a red ball), and Statistics (e.g., formula for median, arithmetic mean, mode).
Includes number systems (e.g., smallest odd composite number, rational/irrational numbers), logarithms, and Set Theory (e.g., set of even prime numbers, finite sets).
Features Polynomials and Linear Equations (e.g., number of zeroes of a biquadratic polynomial, product of zeroes, quadratic polynomial formula, linear/quadratic equations).
Also covers Arithmetic Progression (e.g., common difference, finding 'x' in an AP), Coordinate Geometry (e.g., centroid, distance formula), Geometry (e.g., similar triangles, equidistant point from vertices), and Mensuration (e.g., total surface area of a cuboid, volume of a sphere).
Physics (Questions 51-90):
Deals with Optics (e.g., Dioptre unit, least distance of distinct vision, Snell's law, focal length, refraction examples, refractive index, magnifying lens).
Covers Magnetism and Electromagnetism (e.g., properties of magnetic field lines, SI units of magnetic flux/density, invention from electromagnetism, magnetic flux density definition, compass needle direction).
Includes Thermal Physics (e.g., heat required to raise water temperature, comparing temperatures, specific heat, heat transfer).
Discusses Electricity (e.g., definition of electric current, Ohm's law, device to measure potential difference, resistivity/resistance, voltage-current graph, 1 Joule/1 Coulomb, heating element material).
Covers Human Eye and Vision Defects (e.g., principle of eye function, myopia, accommodation of eye lens).
Chemistry (Questions 91-120):
Focuses on Metallurgy (e.g., impurities in ore, corrosion, minerals containing manganese).
Includes Organic Chemistry concepts (e.g., catenation, alkanes, melting point of hydrocarbons, carbon bonds, functional groups).
Covers Acids and Bases (e.g., litmus test, olfactory indicator, antacid, reaction of acid, nature of non-metal oxide).
Features Atomic Structure and Periodic Table (e.g., Bohr's model, maximum electrons in p-orbital, electronic configuration principles, quantum numbers, Modern Periodic Table organization, number of elements in 3rd period, lanthanoids, valency).
Discusses Chemical Bonding (e.g., ionic bond formation, formula from valency, sigma/pi bonds.
Mentions the free state of gold.