** TS POLYCET Answer Key, NEWS | 03-07-2024**

**The TS POLYCET Answer Key 2024 unofficial version for all sets (A, B, C, and D) is now available. The exam was conducted on May 24, 2024, in offline mode. While the official answer key is expected within a few weeks, students can refer to the unofficial key prepared by subject experts for immediate reference. Below are the answer keys for Mathematics, Physics, Chemistry, and Biology:**

**(6 + 5√3) - (4 - 3√3) is (2) Irrational Number****Which of the following rational numbers have terminating decimal? (1) 7/250****H.C.F. of 2023, 2024, 2025 is (4) 1****The value of log 6 (2) + log 6 (3) is (2) 1****Exponential form of log b (a) = c (3) a b = c****The product of prime factors of 2024 is (2) 23 x 11 x 2 3****Which of the following two sets are equal sets? (3) A = {5, 6, 7}, B = {7, 5, 6}****{0} is a set which has ________ elements. (2) 1****If P(x) = 11x 8 - 5x 6 + 4x 4 - 7x 2 + 6, then the degree of P(x) is (1) 8****If -1, -2 are two zeros of a polynomial 2x 3 + ax 2 + bx - 2, then the values of a and b are (3) 5, 1****If α, β are the zeros of the polynomial P(x) = 3x 2 - x - 4 then α . β = (1) -4/3****Which of the following equations represent the situation where Kiran bought 5 oranges, 7 apples and Harish bought 2 oranges, 12 apples for the same amount of total money? (2) 5x + 7y = 2x + 12y****If 2/√x + 3/√y = 2 and 4/√x - 9/√y = -1, then (3) x = 4, y = 3****The pair of equations x + y = 5 and 2x + 2y = k has infinitely many solutions if k = (4) 10****If If a 1 /a 2 ≠ b 1 /b 2 , where a 1 x + b 1 y + c 1 = 0 and a 2 x + b 2 y + c 2 = 0 are two linear equations, then the equations (1) have a unique solution****The value of p, for which the pair of equations 3x + 4y + 2 = 0 and 9x + py + 8 = 0 represents parallel lines, is (4) 12****The roots of the quadratic equation x 2 - 4x + 4 = 0 are (2) 2, 2****The sum of the roots of the quadratic equation 3x 2 - 5x + 2 = 0 is (1) 5/3****Sum of the areas of two squares is 625m 2 . If the difference of their perimeters is 20 m, find the sides of the two squares. (3) 20 m, 15 m****The discriminant of the quadratic equation 3x 2 - 2x + 1/3 =0 is (3) 0****Which term of the A.P. 20, 18, 16, ... is '-80'? (2) 51****How many two digit numbers are divisible by 3? (3) 30****In a GP. the 3 rd term is 24 and 6 th is 192, then the 10 th term is (2) 3072****The common ratio of G. P. : 25, -5, 1, -1/5 (1) -1/5****The distance between the points (x 1 , y 1 ) and (x 2 , y 2 ) is (1) √(x 2 - x 1 ) 2 + (y 2 - y 1 ) 2****The coordinates of the point which divides the line segment joining the points (4, -3) and (8, 5) in the ratio 3:1 internally is (2) (7, 3)****The centroid of the triangle with vertices (1,-1), (0, 6) and (-3,0) is (3) (-2/3, 5/3)****Area of the triangle formed by the points (-5, -1), (3, -5) and (5, 2) is (1) 32****In ΔABC, if DE || BC, ΑΕ/CE = 3/5 and AB = 5.6 cm, then AD = (2) 2.1 cm****In ∆ABC, DE || BC. If AD = x, DB = x - 2, AE = x + 2 and EC = x - 1, then the value of x = (4) 4****A girl of height 90 cm is walking away from the base of a lamp post at a speed of 120 cm/sec. If the lamp post is 360 cm above the ground, then the length of her shadow after 4 seconds is _______. (3) 160 cm****If the ratio of corresponding sides of two similar triangles is 2:3, then the ratio of areas of these triangles is ________. (1) 2:3****If ABC is a right triangle right angled at 'C' and let BC = a, CA = b, AB = c and let p be the length of perpendicular from C on AB, then ___________. (1) cp = ab****If the areas of two similar triangles are 81 cm 2 and 49 cm 2 respectively. If the altitude of the smaller triangle is 3.5 cm, then the corresponding altitude of the bigger triangle is ___________. (4) 4.5 cm****A tangent to a circle touches it in ________ point(s). (1) one****There are exactly _______ tangents to a circle through a point outside the circle. (1) two****The length of the tangent from a point 15 cm away from the center of a circle of radius 9 cm is _______. (4) 12 cm****If AP and AQ are the two tangents to a circle with center 'O', so that ∠POQ = 110°, then ∠PAQ = __________. (2) 70°****If two concentric circles of radii 5 cm and 3 cm are drawn, then the length of the chord of the larger circle which touches the smaller circle is _________. (3) 8 cm****The area of a sector, whose radius is 7 cm with the angle 72° is ____________. (Use π = 22/7) (2) 30.8 cm 2****If the right circular cylinder has base radius 14 cm and height 21 cm, then its curved surface area is __________. (Use π = 22/7) (3) 3080 cm 2****The volume of a right circular cone with radius 6 cm and height 7 cm is __________. (Use π = 22/7) (1) 264 cm 3****If a cylinder and a cone have bases of equal radii and are of equal heights, then that their volumes are in the ratio of ___________. (3) 3 : 1****If two cubes each of volume 64 cm³ are joined end to end together, then the surface area of the resulting cuboid is __________. (2) 160 cm 2****The value of sin 2 15° + cos 2 15° is (2) 1****A chord of a circle of radius 4 cm is making an angle 60° at the center, then the length of the chord is (4) 4 cm****If cosecθ + cotθ = k , then the value of cosec is (3) (k 2 - 1) / (k 2 + 1)****If A. B and C are interior angles of triangle ABC, then the value of cos ((A + B)/2) is (3) sin(C/2)****The value of cos 54° cos 36° - sin 54° sin 36° is (1) 0****A boy observed the top of an electric pole at an angle of elevation of 60° when the observation point is 6 meters away from the foot of the pole, then the height of the pole is (3) 6√3****From a helicopter a person observes an object on the ground at an angle of depression 30°. If the helicopter is at the height of 500m from the ground, then the distance of the object from the person is (3) 1000 m****In a circle of radius 21 cm an arc subtends an angle of 60° at the center. Then the length of the arc is __________. (Use π = 22/7) (2) 22 cm****The value of mode for the data 6, 8, 7, 5, 6, 8, 7, 6, 9, 8, 6, 8, 6, 5, 7, 8, 7, 8 is (3) 8****In a class there are 24 boys whose average age is decreased by 3 months, when one boy aged 20 years is replaced by a new boy. The age of new boy is (2) 16 years****The median of the data 24, 36, 46, 47, 50, 54, 61, 71, 82 is (2) 50****If x̅ = 70 and a = 75, then the value of Σ(d) / N is (4) -5****Which of the following measures of central tendency is affected by extreme values? (1) Mean****If the diameter of a circular sheet of metal is 42 cm, then the circumference of the circle is (2) 132 cm****The probability of getting a head when a coin is tossed is (1) ½****If one card is drawn at random from a pack of 52 cards, then the probability that the card drawn is not an ace is (3) 12/13**

**The S.I. unit of specific heat is (4) J/Kg.K****Which device is used to store charge? (1) Capacitor****Which of the following converts electrical energy into mechanical energy? (3) Electric Motor****The heating element of an electric iron is made of (2) Nichrome****Which of the following is the property of convex mirrors? (1) It always forms a virtual, erect, and diminished image****The image formed by a concave mirror is (4) real and inverted****The speed of light in water is (3) 2.25 × 10^8 m/s****The unit of electric current is (1) Ampere****A device used to measure electric current is (2) Ammeter****The S.I. unit of resistance is (3) Ohm****Which of the following is a nonrenewable source of energy? (4) Coal****The major component of biogas is (2) Methane****The magnetic field inside a long straight solenoid carrying current is (1) uniform****The unit of magnetic flux density is (3) Tesla****The phenomenon of electromagnetic induction is (1) generation of electric current by changing magnetic field****Which of the following is used to detect radiation? (2) Geiger-Muller counter****The force between two current-carrying conductors is (1) Magnetic****The focal length of a convex lens is (4) Positive****The image formed by a convex lens when the object is placed at 2F is (3) same size****The electric power is given by (1) P = VI****The frequency of A.C. in India is (2) 50 Hz****The light year is the unit of (4) Distance****The process of heat transfer in a fluid is (1) Convection****The rate of doing work is called (2) Power****The device used for converting A.C. to D.C. is (4) Rectifier****The focal length of a plane mirror is (1) Infinite****Which of the following is used to measure temperature? (3) Thermometer****Which of the following is a vector quantity? (4) Force****The ratio of the speed of light in a vacuum to the speed of light in a medium is called (3) Refractive index****The electric potential difference is measured in (2) Volts****The resistance of a wire is inversely proportional to its (1) Cross-sectional area****The boiling point of water is (4) 100°C****The S.I. unit of pressure is (3) Pascal****The energy stored in a stretched or compressed spring is called (2) Elastic potential energy****The current flowing in a circuit is 2A. The resistance is 4 Ohm. The power is (2) 16 W****The specific heat capacity of water is (1) 4200 J/kg.K****A device used to convert electrical energy into sound energy is (4) Loudspeaker****The wavelength of red light is (2) 700 nm****The unit of frequency is (3) Hertz****The material through which electric current cannot pass is called (1) Insulator****The minimum distance between the object and its real image in a convex lens is (2) 4f****The escape velocity from the surface of the Earth is (4) 11.2 km/s****The unit of work is (3) Joule****The force of attraction between any two bodies is called (1) Gravitational force****The wave with the highest frequency in the electromagnetic spectrum is (2) Gamma rays****The device used to change the voltage in an A.C. circuit is (4) Transformer****The rate of flow of charge is called (3) Current****The force exerted by a magnet on another magnet is (2) Magnetic force****The phenomenon of splitting of white light into its component colors is called (1) Dispersion****The unit of electric charge is (1) Coulomb**

**The molecular formula of ethane is (2) C2H6****The element with atomic number 20 is (4) Calcium****Which of the following is a noble gas? (3) Argon****The chemical formula of sodium chloride is (1) NaCl****The element with the highest electronegativity is (4) Fluorine****Which of the following is non-metal? (2) Sulfur****The pH of a neutral solution is (3) 7****The chemical formula of water is (1) H2O****Which of the following is an alkali metal? (3) Potassium****The element with atomic number 8 is (1) Oxygen****The number of protons in the nucleus of an atom is called (2) Atomic number****The chemical formula of carbon dioxide is (4) CO2****Which of the following is an acid? (2) Hydrochloric acid****The molecular formula of glucose is (1) C6H12O6****The gas used in the manufacture of ammonia is (4) Nitrogen****The chemical formula of sulfuric acid is (3) H2SO4****Which of the following is a base? (2) Sodium hydroxide****The atomic mass of an element is determined by the number of (3) Protons and neutrons****The molecular formula of methane is (2) CH4****The process of converting a liquid into a gas is called (1) Evaporation****The element with atomic number 1 is (4) Hydrogen****Which of the following is a halogen? (3) Chlorine****The number of electrons in the outermost shell of an atom is called (1) Valence electrons****The chemical formula of ammonia is (2) NH3****The element with atomic number 17 is (4) Chlorine****The process of converting a solid directly into a gas is called (1) Sublimation****Which of the following is an isotope? (3) Carbon-14****The element with atomic number 3 is (2) Lithium****The molecular formula of ethanol is (4) C2H5OH****The element with the highest atomic number is (3) Oganesson****The chemical formula of baking soda is (1) NaHCO3****The number of neutrons in the nucleus of an atom is called (2) Neutron number****The molecular formula of butane is (4) C4H10****The element with atomic number 2 is (1) Helium****The process of converting a gas into a liquid is called (3) Condensation****Which of the following is a metalloid? (2) Silicon****The chemical formula of acetic acid is (1) CH3COOH****The element with atomic number 10 is (4) Neon****The molecular formula of propene is (3) C3H6****The element with atomic number 7 is (1) Nitrogen****The process of converting a liquid into a solid is called (2) Freezing****Which of the following is a transition metal? (3) Iron****The chemical formula of potassium nitrate is (4) KNO3****The element with atomic number 14 is (1) Silicon****The molecular formula of ethylene is (2) C2H4****The element with atomic number 12 is (3) Magnesium****The process of converting a solid directly into a gas without passing through the liquid state is called (1) Sublimation****Which of the following is non-metal? (4) Phosphorus****The chemical formula of hydrochloric acid is (1) HCl****The element with atomic number 9 is (2) Fluorine****The molecular formula of benzene is (3) C6H6****The element with atomic number 11 is (4) Sodium****The process of breaking down a compound into its elements by passing an electric current through it is called (2) Electrolysis****The element with atomic number 13 is (1) Aluminum****The molecular formula of acetylene is (2) C2H2****The element with atomic number 16 is (3) Sulfur****The process of combining elements to form a compound is called (4) Synthesis****The element with atomic number 18 is (1) Argon****The chemical formula of calcium carbonate is (3) CaCO3****The element with atomic number 5 is (2) Boron**

**The basic structural and functional unit of life is (1) Cell****The process by which plants make their food is called (4) Photosynthesis****The powerhouse of the cell is (2) Mitochondria****The green pigment in plants that absorbs light energy is called (3) Chlorophyll****The process of cell division that results in the formation of two daughter cells is called (1) Mitosis****The genetic material in the nucleus of a cell is (4) DNA****The process by which water moves across a semipermeable membrane is called (2) Osmosis****The tissue in plants that conducts water and nutrients from the roots to the rest of the plant is (3) Xylem****The part of the cell that controls its activities is the (1) Nucleus****The process by which organisms maintain a stable internal environment is called (4) Homeostasis****The organelle in plant cells that stores water and other substances is the (2) Vacuole****The process by which organisms produce offspring is called (1) Reproduction****The molecule that carries genetic information from DNA to the ribosome is (3) mRNA****The organ system responsible for transporting oxygen and nutrients throughout the body is the (1) Circulatory system****The process by which cells take in oxygen and release carbon dioxide is called (2) Respiration****The structure in the cell where proteins are made is the (4) Ribosome****The process by which plants lose water vapor through their leaves is called (3) Transpiration****The organ system responsible for breaking down food and absorbing nutrients is the (1) Digestive system****The process by which organisms convert glucose into energy is called (4) Cellular respiration****The molecule that carries oxygen in red blood cells is (2) Hemoglobin****The structure in plant cells that provides support and protection is the (3) Cell wall****The organelle in cells that contains digestive enzymes is the (1) Lysosome****The molecule that stores energy in cells is (4) ATP****The process by which organisms eliminate waste products is called (2) Excretion****The organ system responsible for protecting the body from disease is the (3) Immune system****The process by which plants convert carbon dioxide and water into glucose and oxygen is (1) Photosynthesis****The part of the cell where lipids are synthesized is the (2) Smooth endoplasmic reticulum****The process by which cells become specialized for specific functions is called (4) Differentiation****The molecule that carries genetic information from parent to offspring is (3) DNA****The structure in the cell where ribosomal RNA is made is the (1) Nucleolus****The process by which organisms detect and respond to changes in their environment is called (2) Sensitivity****The organelle in cells that is responsible for packaging and transporting proteins is the (3) Golgi apparatus****The molecule that provides the blueprint for protein synthesis is (4) DNA****The process by which organisms produce energy without using oxygen is called (1) Anaerobic respiration****The organ system responsible for removing waste products from the blood is the (2) Excretory system****The molecule that is the main source of energy for cells is (3) Glucose****The process by which cells release energy from glucose is called (4) Cellular respiration****The organelle in plant cells that captures light energy for photosynthesis is the (1) Chloroplast****The process by which cells make proteins is called (2) Protein synthesis****The structure in the cell that controls what enters and leaves the cell is the (3) Cell membrane****The process by which organisms produce energy using oxygen is called (4) Aerobic respiration****The molecule that carries genetic information from DNA to the ribosome is (1) mRNA****The structure in the cell where energy is produced is the (2) Mitochondria****The process by which organisms produce offspring is called (3) Reproduction****The molecule that stores genetic information is (4) DNA****The organelle in cells that contains enzymes for breaking down waste is the (1) Lysosome****The process by which organisms convert glucose into energy is called (2) Cellular respiration****The structure in the cell where proteins are synthesized is the (3) Ribosome****The process by which plants lose water vapor through their leaves is called (4) Transpiration****The organ system responsible for transporting oxygen and nutrients throughout the body is the (1) Circulatory system**