TS POLYCET 2024 Question Paper Set A is available for download here. State Board of Technical Education and Training (SBTET), Telangana conducted TS POLYCET 2024 on May 24 in a single shift. TS POLYCET Question Paper consists of 120 MCQs from Mathematics (60 questions), Physics (30 questions), and Chemistry (30 questions). A total duration of 120 minutes will be given to the candidates to complete the TS POLYCET 2024 Question Paper.
TS POLYCET 2024 Question Paper with Answer Key PDF Set A
TS POLYCET 2024 Question Paper with Answer Key | ![]() |
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Question 1:
The expression \((6 + 5\sqrt{3}) - (4 - 3\sqrt{3})\) is:
Which of the following rational number has terminating decimal?
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H.C.F. of 2023, 2024, 2025 is:
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The value of \(\log_6 2 + \log_6 3\) is:
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Exponential form of \(\log_b a = c\) is:
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The product of prime factors of 2024 is:
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Which of the following two sets are equal sets?
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\(\{0\}\) is a set which has ........ elements.
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If \(P(x) = 11x^8 - 5x^6 + 4x^4 - 7x^2 + 6\), then the degree of \(P(x)\) is
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If -1, -2 are two zeros of a polynomial \(2x^3 + ax^2 + bx - 2\), then the values of \(a\) and \(b\) are
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If \(\alpha, \beta\) are the zeros of the polynomial \(P(x) = 3x^2 - x - 4\), then \(\alpha \times \beta =\)
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Which of the following equation represents the situation where Kiran bought 5 oranges, 7 apples, and Harish bought 2 oranges, 12 apples for the same amount of total money?
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If \(\frac{2}{\sqrt{x}} = 2\) and \(\frac{4}{\sqrt{y}} = -1\), then
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The pair of equations \(x + y = 5\) and \(2x + 2y = k\) has infinitely many solutions if \(k =\)
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If \(\frac{a_1}{a_2} \neq \frac{b_1}{b_2}\), where \(a_1x + b_1y + c_1 = 0\) and \(a_2x + b_2y + c_2 = 0\) are two linear equations, then the equations
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The value of \(p\), for which the pair of equations \(3x + 4y + 2 = 0\) and \(9x + py + 8 = 0\) represents parallel lines, is:
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The roots of the quadratic equation \(x^2 - 4x + 4 = 0\) are:
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The sum of the roots of the quadratic equation \(3x^2 - 5x + 2 = 0\) is:
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Sum of the areas of two squares is 625 m\(^2\). If the difference of their perimeters is 20 m, find the sides of the two squares.
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The discriminant of the quadratic equation \(3x^2 - 2x + \frac{1}{3} = 0\) is:
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Which term of the A.P.: \(20, 18, 16, \dots\) is \(-80\)?
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How many two-digit numbers are divisible by 3?
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In a G.P. the 3rd term is 24 and 6th is 192, then the 10th term is:
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The common ratio of G.P.: \(25, -5, 1, -\frac{1}{5}, \dots\) is:
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The distance between the points \((x_1, y_1)\) and \((x_2, y_2)\) is:
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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:
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The centroid of the triangle with vertices \((1, -1)\), \((0, 6)\), and \((-3, 0)\) is:
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Area of the triangle formed by the points \((-5, -1)\), \((3, -5)\) and \((5, 2)\) is:
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In \(\triangle ABC\), if \(DE \parallel BC\), \(AE/CE = 3/5\) and \(AB = 5.6\) cm, then \(AD =\):
(1) 2.8 cm
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In \(\triangle ABC\), if \(DE \parallel BC\), \(AD = x\), \(DB = x - 2\), \(AE = x + 2\), and \(EC = x - 1\), then the value of \(x\) is:
(1) 3
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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:
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If the ratio of corresponding sides of two similar triangles is 2:3, then the ratio of areas of these triangles is:
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If \(\triangle ABC\) 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:
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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:
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A tangent to a circle touches it in _____ point(s).
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There are exactly _____ tangents to a circle through a point outside the circle.
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The length of the tangent from a point 15 cm away from the centre of a circle of radius 9 cm is:
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If \(AP\) and \(AQ\) are the two tangents to a circle with center \(O\), such that \(\angle POQ = 110^\circ\), then \(\angle PAQ =\):
(1) 60°
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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:
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The area of a sector, whose radius is 7 cm with the angle 72° is:
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If a right circular cylinder has base radius 14 cm and height 21 cm, then its curved surface area is:
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The volume of a right circular cone with radius 6 cm and height 7 cm is:
(use \(\pi = \frac{22}{7}\))
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If a cylinder and a cone have bases of equal radii and are of equal heights, then their volumes are in the ratio of:
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If two cubes each of volume 64 cm\(^3\) are joined end to end together, then the surface area of the resulting cuboid is:
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The value of \(\sin^2 15^\circ + \cos^2 15^\circ\) is:
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A chord of a circle of radius 4 cm is making an angle 60° at the centre, then the length of the chord is:
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If \(\csc \theta + \cot \theta = k\), then the value of \(\csc \theta\) is:
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If \(A\), \(B\), and \(C\) are interior angles of triangle \(ABC\), then the value of \(\cos \left( \frac{A + B}{2} \right)\) is:
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The value of \(\cos 54^\circ \cos 36^\circ - \sin 54^\circ \sin 36^\circ\) is:
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A boy observed the top of an electric pole at an angle of elevation of \(60^\circ\) when the observation point is 6 meters away from the foot of the pole, then the height of the pole is:
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From a helicopter, a person observes an object on the ground at an angle of depression of \(30^\circ\). If the helicopter is flying at a height of 500 m from the ground, then the distance between the person and the object is:
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Two boys on either side of a temple of 45 meters height observe its top at the angles of elevation 30° and 60° respectively. Find the distance between the two boys.
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Two dice are thrown at the same time. What is the probability that the sum of the two numbers appearing on the top of the dice is 13?
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One card is selected from a well-shuffled deck of 52 cards, the probability of getting the queen of diamonds is:
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A Kiddy bank contains hundred 50 paise coins, fifty ₹1 coins, twenty ₹2 coins, and ten ₹5 coins. If one of the coins will fall out when the bank is turned upside down, what is the probability that the coin is a ₹5 coin?
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Rainfall of a town in a week is 4 cm, 5 cm, 12 cm, 3 cm, 6 cm, 8 cm, and 4 cm, then the average rainfall per day is:
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Which of the following is not a formula for arithmetic mean?
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Mode of the data 9, 10, 19, 7, 11, 5, 6, 7, 8, 14, 10, 7, 6 is
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In a grouped frequency distribution, the formula to find median is
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The median of 75, 21, 56, 36, 81, 05, and 42 is
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Convex mirror is used as
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Concave mirrors can produce
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The mirror which always gives diminished image is
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The focal length of a concave mirror is 20 cm. At what distance the object is placed to obtain the virtual image?
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The midpoint of a thin lens is called
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A light ray passing along the principal axis of a lens is
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In which one among the following cases the convex lens does not give a real image?
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A convex lens kept in a medium with refractive index less than the refractive index of the lens behaves like
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The focal length of double concave lens having refractive index 1.5 kept in air with two spherical surfaces of radii \( R_1 = 20 \, cm \) and \( R_2 = 80 \, cm \) is
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The formula for refractive index of a prism is
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The least distance of distinct vision of a healthy person is
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The focal length of a lens having power 4D is
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The defect in eye vision that people cannot see objects at long distance is
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The process of an eye lens to adjust its focal length to form a sharp image on retina is called
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The appearance of red colour of the Sun during Sunrise and Sunset is due to
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The S.I. unit of electrical resistance is
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Formula for specific resistance is
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The current in a conductor is directly proportional to the potential difference between its ends at constant temperature. This is known as
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Kirchhoff's junction law is based on conservation of
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Calculate the resultant resistance in the following circuit.
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The instrument to measure potential difference is
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The tangent drawn to the magnetic field line at a point gives
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The magnetic flux passing through unit area taken perpendicular to the uniform magnetic field is called
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The direction of the magnetic field lines outside the current carrying solenoid is from
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In electric motors
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Which law states "the induced current set up in the coil is in such a direction that it opposes the changes in the flux"?
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Induction stove works on the principle of
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A conductor of length 'l' is moving perpendicular to magnetic field 'B' with a speed 'v'. The motional emf is given by -
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The magnetic force exerted on a 3 m length conductor carrying 2A current when placed in a uniform magnetic field 0.4 T at an angle 30° is
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Which one of the following statements is correct?
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What is the symbol used in a chemical equation to represent the gas evolved in a reaction?
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Volume occupied by 10 g of hydrogen at STP in litres is
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Quantum mechanical model of the atom was developed by
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Maximum no. of electrons in a subshell is equal to
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Number of unpaired electrons present in carbon atom is
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Law of octaves was proposed by
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Number of elements present in the sixth period of the modern periodic table
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Which one of the following atoms is smaller in size?
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Ionization energy along a period from left to right generally
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Element with atomic number 17 belongs to
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Oxygen gains ____ electrons during the chemical changes.
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Number of bond pairs and lone pairs in the valence shell of nitrogen in NH\(_3\)
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Bond angle in BeCl\(_2\) molecule is
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Ionic bond is formed due to transfer of electrons from
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Polar covalent bond present in
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Double bond present in
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The colour of methyl orange indicator in basic solution is
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The reaction of an acid with a base to give a salt and water is known as
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Which one of the following is used for disinfecting drinking water?
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The process of dissolving acid or base in water is
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The metal that occurs in the free form (native) is
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Galena is an ore of
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In smelting the ore it is
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The hydrocarbons containing only single bonds between carbon atoms are called
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Which one of the following is a ketone?
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If the hydrogen atom of -COOH gets replaced by 'R' (alkyl group) ___ are obtained.
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The number of sigma and \(\pi\)-bonds in ethyne molecule:
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The process of conversion of starches and sugars to C2H5OH is called
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Which of the following is an unsaturated compound?
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The final compound formed when methane reacts with chlorine in the presence of sunlight is
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Which test is performed to identify the presence of starch in leaves?
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In the mouth, the crushed food mixed with saliva which forms a slippery lump is called?
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Which of the following statement is true?
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Choose the correct sequence of steps in Respiration.
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Each ATP molecule gives how much energy?
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C\(_6\)H\(_{12}\)O\(_6\) + 6O\(_2\) \(\to\) 6CO\(_2\) + 6H\(_2\)O + \text{Energy. This equation summarizes which process?
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The yellowish straw colored fluid portion that forms after the blood clot is called
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What is the name of the valve present on the right Auriculo-Ventricular septum between right atrium and right ventricle called?
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Regarding blood pressure, what is the systolic pressure in a healthy young adult?
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Evaporation of water through leaves is called?
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Deficiency of Vasopressin causes excessive dilute urination. This condition is called?
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The maximum urine storage capacity of urinary bladder is?
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Kidneys are the excretory organs in which animals?
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Which of the following poisonous, nitrogenous byproducts are stored in different parts of the plants?
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.............. is an endocrine gland, secretes the hormones insulin and glucagon.
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................ causes ripening of fruits.
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Roots grow downwards, plants respond positively for gravitational force. What is this called?
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........... bacteria is responsible for the formation of curd from milk.
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Examples of propagation by stem are:
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Majority of flowering plants have an embryo sac consisting of:
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The correct order of passage of spermatozoa is:
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The walls of the food pipe secrete a slippery substance called:
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From the stomach, the partially digested food (chyme) is released into:
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The phenotypic ratio of F2 generation in a monohybrid cross is:
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The number of allosomes in human cells are:
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Change in the frequency of genes in small populations is called:
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Occurrence of vestigial organs abruptly in human beings is called:
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The process of entry of pollutants into a food chain is known as:
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Seeds from .......... plants are used for the production of biofuel.
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Coal, Petroleum (oil), and Natural Gas belong to which type of fuels?
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