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KVPY 2020 SB/SX

Browse the complete Chemistry, Mathematics, and Physics question set from the KVPY 2020 SB/SX paper, question by question. Each question shows a quick preview so you can jump straight to the topic or subject you want to revise. Click through to attempt the full question in practice mode, or head back to the paper-wise list to download the entire paper as a PDF.

Chemistry

  1. 1The stability of follows the order:2020 (SB/SX)
  2. 2The rates of reaction of NaOH with: follow the order:-2020 (SB/SX)
  3. 3Among the following, the compounds which can be reduced with formaldehyde and conc. aq. KOH , are:2020 (SB/SX)
  4. 4An organic compound that is commonly used for sanitizing surfaces is:2020 (SB/SX)
  5. 5Among the following, the biodegradable polymer is:2020 (SB/SX)
  6. 6The most suitable reagent for the conversion of 2 - phenylpropanamide into 1 - phenylethylamine is:-2020 (SB/SX)
  7. 7A nucleus X captures a particle and then emits a neutron and ray to form Y . X and Y are:-2020 (SB/SX)
  8. 8The compound X in the following reaction scheme: is:2020 (SB/SX)
  9. 9The boiling point (in C ) of 0 . 1 molal aqueous solution of CuSO 4 . 5 H 2 O at 1 bar is closest to: [Given: Ebullioscopic (molal boiling p2020 (SB/SX)
  10. 10A mixture of toluene and benzene forms a nearly ideal solution. Assume P B and P T to be the vapor pressures of pure benzene and toluene, re2020 (SB/SX)
  11. 11The magnetic moment (in B ) of Ni ( dimethylglyxoimate ) 2 complex is closest to:2020 (SB/SX)
  12. 12A weak acid is titrated with a weak base. Consider the following statements regarding the pH of the solution at the equivalence point: (i) p2020 (SB/SX)
  13. 13If an extra electron is added to the hypothetical molecule C 2 , this extra electron will occupy the molecular orbital:-2020 (SB/SX)
  14. 14Products are favoured in a chemical reaction taking place at a constant temperature and pressure. Consider the following statements: (i) The2020 (SB/SX)
  15. 15Treatment of alkaline KMnO 4 solution with KI solution oxidizes iodide to:-2020 (SB/SX)
  16. 16Upon dipping a copper rod, the aqueous solution of the salt that can turn blue is:-2020 (SB/SX)
  17. 17The correct pair of orbitals involved in -bonding between metal and CO in metal carbonyl complexes is:2020 (SB/SX)
  18. 18Among the following, the square planar geometry is exhibited by:2020 (SB/SX)
  19. 19If the velocity of the revolving electron of He + in the first orbit ( n = 1 ) is v , the velocity of the electron in the second orbit is:2020 (SB/SX)
  20. 20An organic compound X with molecular formula C 11 H 14 gives an optically active compound on hydrogenation. Upon ozonolysis, X produces a mi2020 (SB/SX)
  21. 21A compound is formed by two elements M and N . Element N forms hexagonal closed pack array with 2 / 3 of the octahedral holes occupied by M 2020 (SB/SX)
  22. 22The following transformation can be carried out in three steps. The reagents required for these three steps in their correct order, are:2020 (SB/SX)
  23. 23In the following reaction X and Y , respectively are:2020 (SB/SX)
  24. 24A two dimensional solid is made by alternating circles with radius a and b such that the sides of the circles touch. The packing fraction is2020 (SB/SX)
  25. 25A container is divided into two compartments by a removable partition as shown below: In the first compartment, n 1 moles of ideal gas He is2020 (SB/SX)
  26. 26The reaction CaCO 3 s CaO s + CO 2 g is in equilibrium in a closed vessel at 298 K . The partial pressure (in atm) of CO 2 g in the reaction2020 (SB/SX)
  27. 27Consider a reaction that is first order in both directions A k b k f B Initially only A is present, and its concentration is A 0 . Assume A 2020 (SB/SX)
  28. 28Number of stereoisomers possible for the octahedral complexes Co NH 3 3 Cl 3 and Ni ( en ) 2 Cl 2 , respectively, are: [ en = 1 , 2 -ethylen2020 (SB/SX)
  29. 29When a mixture of NaCl , K 2 Cr 2 O 7 and conc. H 2 SO 4 is heated in a dry test tube, a red vapor X is evolved. This vapor X turns an aqueo2020 (SB/SX)
  30. 30Sodium borohydride upon treatment with iodine produces a Lewis acid ( X ) , which on heating with ammonia produces a cyclic compound Y and a2020 (SB/SX)

Mathematics

  1. 1The value of the integral - / 2 / 2 sin 2 x 1 + e x d x is2020 (SB/SX)
  2. 2A person standing on the top of a building of height 60 3 feet observed the top of a tower to lie at an elevation of 45 . That person descen2020 (SB/SX)
  3. 3Consider the following statements I. lim n 2 n + ( - 2 ) n 2 n does not exist II. lim n 3 n + ( - 3 ) n 4 n does not exist Then2020 (SB/SX)
  4. 4Consider a regular 10 - gon with its vertices on the unit circle. With one vertex fixed, draw straight lines to the other 9 vertices. Call t2020 (SB/SX)
  5. 5Let R be the set of all real numbers and f ( x ) = sin 10 x cos 8 x + cos 4 x + cos 2 x + 1 for x R . Let S = { R there exits a point c ( 0 2020 (SB/SX)
  6. 6Define a sequence s n of real numbers by S n = k = 0 n 1 n 2 + k for n 1 Then lim n s n2020 (SB/SX)
  7. 7Let A be a 2 2 matrix of the form A = a b 1 1 , where a , b are integers and - 50 b 50 . The number of such matrices A such that A - 1 , the2020 (SB/SX)
  8. 8Let x 2 a 2 + y 2 b 2 = 1 ( b a ) , be an ellipse with major axis A B and minor axis C D . Let F 1 and F 2 be its two foci, with A , F 1 , F2020 (SB/SX)
  9. 9Let f ( x ) = x sin x , x ( 0 , 1 ) 1 , x = 0 , Consider the integral I n = n 0 1 / n f ( x ) e - n x d x Then lim n I n2020 (SB/SX)
  10. 10Let R be the set of all real numbers and f : R R be a continuous function. Suppose | f ( x ) - f ( y ) | | x - y | for all real numbers x an2020 (SB/SX)
  11. 11Let x , y be real numbers such that x 2 y 0 and 2 log x - 2 y = log x + log y . Then the possible value s of x y2020 (SB/SX)
  12. 12Let A = a i j 1 i , j 3 be a 3 3 invertible matrix where each a i i is a real number. Denote the inverse of the matrix A by A - 1 . If i t l2020 (SB/SX)
  13. 13The value of the integral 1 3 ( x - 2 ) 4 sin 3 ( x - 2 ) + ( x - 2 ) 2019 + 1 d x is2020 (SB/SX)
  14. 14In a regular 15 - sided polygon with all its diagonals drawn, a diagonal is chosen at random. The probability that it is either a shortest d2020 (SB/SX)
  15. 15Let A denote the set of all real numbers x such that x 3 - [ x ] 3 = ( x - [ x ] ) 3 , where [ x ] is the greatest integer less than or equa2020 (SB/SX)
  16. 16Assume that 3 . 13 3 . 15 . The integer closest to the value of sin - 1 ( sin 1 cos 4 + cos 1 sin 4 ) , where 1 and 4 appearing in sin and c2020 (SB/SX)
  17. 17The maximum value of the function f ( x ) = e x + x ln x on the interval 1 x 2 is2020 (SB/SX)
  18. 18The figure in the complex plane given by 10 z z - 3 z 2 + z 2 + 4 i z 2 - z 2 = 02020 (SB/SX)
  19. 19Let M = 2 30 - 2 15 + 1 , and M 2 be expressed in base 2 . The number of 1 s in this base 2 representation of M 2 is2020 (SB/SX)
  20. 20Let A B C be a triangle such that A B = 15 and A C = 9 . The bisector of B A C meets B C in D . If A C B = 2 A B C , then B D is2020 (SB/SX)
  21. 21In medical diagnostics for a disease, sensitivity (denoted a) of a test refers to the probability that a test result is positive for a perso2020 (SB/SX)
  22. 22Let f ( x ) = sin x + x 3 - 3 x 2 + 4 x - 2 cos x for x ( 0 , 1 ) . Consider the following statements I. f has a zero in 0 , 1 II. f is mono2020 (SB/SX)
  23. 23Let be the set of natural numbers. For n , define I n = 0 x sin 2 n ( x ) sin 2 n ( x ) + cos 2 n ( x ) d x . Then for m , n2020 (SB/SX)
  24. 24For [ 0 , ] , let f ( ) = sin ( cos ) and g ( ) = cos ( sin ) . Let a = max 0 f , b = min 0 = f , c = max 0 9 g and d = min 0 g . The correc2020 (SB/SX)
  25. 25In a triangle A B C , the angle bisector B D of B intersects A C in D . Suppose B C = 2 , C D = 1 and B D = 3 2 . The perimeter of the trian2020 (SB/SX)
  26. 26Let A be a set consisting of 10 elements. The number of non-empty relations from A to A that are reflexive but not symmetric is2020 (SB/SX)
  27. 27Let a = n = 101 200 2 n k = 101 n 1 k ! and b = n = 101 200 2 201 - 2 n n ! Then a b is2020 (SB/SX)
  28. 28Six consecutive sides of an equiangular octagon are 6 , 9 , 8 , 7 , 10 , 5 in that order. The integer nearest to the sum of the remaining tw2020 (SB/SX)
  29. 29Let a , b , c be non-zero real roots of the equation x 3 + a x 2 + b x + c = 0 . Then2020 (SB/SX)
  30. 30Let a = B C , b = C A , c = A B be the side lengths of a triangle A B C , and m be the length of the median through A . If a = 8 , b - c = 22020 (SB/SX)
  31. 31The value of the integral 1 2 + 1 x 2 - 1 x 2 + 1 1 1 + x 4 d x is2020 (SB/SX)

Physics

  1. 1An initially uncharged capacitor C is being charged by a battery of emf E through a resistance R upto the instant when the capacitor is char2020 (SB/SX)
  2. 2A point particle is acted upon by a restoring force - k x 3 . The time period of oscillation is T when the amplitude is A . The time period 2020 (SB/SX)
  3. 3The clocktower ( ghantaghar ) of Dehradun is famous for the sound of its bell, which can be heard, albeit faintly, upto the outskirts of the2020 (SB/SX)
  4. 4Students A , B and C measure the length of a room using 25 m long measuring tape of least count ( LC ) 0 . 5 cm , meter-scale of LC 0 . 1 cm2020 (SB/SX)
  5. 5An engine runs between a reservoir at temperature 200 K and a hot body which is initially at temperature of 600 K . If the hot body cools do2020 (SB/SX)
  6. 6The output voltage (taken across the resistance) of a L C R series resonant circuit falls to half its peak value at a frequency of 200 Hz an2020 (SB/SX)
  7. 7A proton and an antiproton come close to each other in vacuum such that the distance between them is 10 cm . Consider the potential energy t2020 (SB/SX)
  8. 8Meena applies the front brakes while riding on her bicycle along a flat road. The force that slows her bicycle is provided by the2020 (SB/SX)
  9. 9A collimated beam of charged and uncharged particles is directed towards a hole marked P on a screen as shown below. If the electric and mag2020 (SB/SX)
  10. 10Consider a sphere of radius R with unform charged density and total charge Q . The electrostatic potential distribution inside the sphere is2020 (SB/SX)
  11. 11The efficiency of the cycle shown below in the figure (consisting of one isobar, one adiabat and one isotherm) is 50 % . The ratio, x , betw2020 (SB/SX)
  12. 12A right-angle isosceles prism is held on the surface of a liquid composed of miscible solvents A and B of refractive index n A = 1 . 50 and 2020 (SB/SX)
  13. 13The intensity of light from a continuously emitting laser source operating at 638 nm wavelength is modulated at 1 GHz . The modulation is do2020 (SB/SX)
  14. 14Consider the following statements regarding the real images formed with a converging lens. (I) Real images can be seen only if the image is 2020 (SB/SX)
  15. 15Instead of angular momentum quantization a sudent posits that energy is quantized as E = - E 0 / n E 0 0 and n is a positive integer. Which 2020 (SB/SX)
  16. 16A camera filled with a polarizer is placed on a mountain, in a manner to record only the reflected image of the sun from the surface of a se2020 (SB/SX)
  17. 17A source simultaneously emitting light at two wavelengths 400 nm and 800 nm is used in the Young s double slit experiment. If the intensity 2020 (SB/SX)
  18. 18A zinc ball of radius, R = 1 cm charged to a potential - 0 . 5 V . The ball is illuminated by a monochromatic ultraviolet ( U V ) light with2020 (SB/SX)
  19. 19A conducting rod, with a resistor of resistance R , is pulled with constant speed v on a smooth conducting rail as shown in figure. A consta2020 (SB/SX)
  20. 20The time period of a body undergoing simple harmonic motion is given by T = p a D b S c , where p is the pressure, D is density and S is sur2020 (SB/SX)
  21. 21A monochromatic beam of light is incident at the interface of two materials of refracive index n 1 and n 2 as shown. If n 1 n 2 and c is the2020 (SB/SX)
  22. 22Suppose a long rectangular loop o width w is moving along the x -direction with its left arm in magnetic field perpendicular to the plane of2020 (SB/SX)
  23. 23Imagine a world where free magnetic charges exist. In this world, a circuit is made with a U shape wire and a rod free to slide on it. A cur2020 (SB/SX)
  24. 24The box in the circuit below has two inputs marked v + and v - and a single output marked V 0 . The output obeys + 10 V if v + v - V 0 = - 12020 (SB/SX)
  25. 25The circular wire in figure below encircles solenoid in which the magnetic flux is increasing at a constant rate out of the plane of the pag2020 (SB/SX)
  26. 26A bottle has a thin nozzle on top. It is filled with water, held horizontally at a height of 1 m and squeezed slowly by hands so that the wa2020 (SB/SX)
  27. 27A beam of neutrons performs circular motion of radius, r = 1 m , under the influence of an inhomogeneous magnetic field with inhomogeneity e2020 (SB/SX)
  28. 28A student is jogging on a straight path with the speed 5 . 4 km per hour. Perpendicular to the path is kept a pipe with its opening 8 m from2020 (SB/SX)
  29. 29The Kangri is an earthen pot used to stay warm in Kashmir during the winter months. Assume that the Kangri is spherical and of surface area 2020 (SB/SX)
  30. 30A solar cell is to be fabricated for efficient conversion of solar radiation to emf using material A . The solar cell is to be mechanically 2020 (SB/SX)

Frequently Asked Questions

1.How many questions are in the KVPY 2020 SB/SX paper?

This paper has 91 questions in total - 30 from Chemistry, 31 from Mathematics, and 30 from Physics.

2.Can I practise questions from just one subject?

Yes. Use the Chemistry, Mathematics, and Physics tabs at the top of the page to jump directly to that subject's question set within this paper.

3.Where can I find the SA paper for the same year?

The KVPY 2020 SA paper is listed separately - you can switch to it from the "KVPY Paper Wise PYQs" panel, under KVPY 2020.

4.What is the structure of the KVPY 2020 SB/SX paper?

The KVPY 2020 SB/SX paper on MARKS has 91 questions, organised by subject:

  • Chemistry: 30 questions - 30 single-correct.
  • Mathematics: 31 questions - 31 single-correct.
  • Physics: 30 questions - 30 single-correct.
5.Which chapters had the most questions in the KVPY 2020 SB/SX paper?

The chapters with the most questions in each subject were:

  • Chemistry: Coordination Compounds (4), Aldehydes and Ketones (2), and Amines (2).
  • Mathematics: Definite Integration (5), Application of Derivatives (4), and Properties of Triangles (4).
  • Physics: Wave Optics (4), Alternating Current (3), and Electromagnetic Induction (2).
6.Where can I find the solutions for the KVPY 2020 SB/SX paper?

Open any question on this page. Its page shows the correct answer and, where one is available, the worked solution. A downloadable PDF of the whole paper is coming soon.

7.How should I use the KVPY 2020 SB/SX paper to check my preparation?

Set a timer, attempt the 91 questions as you would in the exam, and only then open the answers. Note which subjects and chapters cost you the most marks, and revise those first using the chapter-wise practice for KVPY. Repeating this with other papers shows whether the same weak spots keep coming back.