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KVPY 2019 SA

Browse the complete Chemistry, Mathematics, and Physics question set from the KVPY 2019 SA 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 hybridisations of N , C and O shown in the following compound respectively, are2019 (SA)
  2. 2The following compounds are2019 (SA)
  3. 3The major product of the following reaction is2019 (SA)
  4. 4IUPAC name of the following compound is2019 (SA)
  5. 5The number of moles of water present in a spherical water droplet of radius 1 . 0 cm is, [Given : Density of water in the droplet = 10 g cm 2019 (SA)
  6. 6The correct statements among the following. i. E 2 s ( H ) E 2 s ( Li ) E 2 s ( Na ) E 2 ( K ) ii. The maximum number of electrons in the sh2019 (SA)
  7. 7In water-gas shift reaction, hydrogen gas is produced from the reaction of steam with.2019 (SA)
  8. 8For one mole of a van der Waals gas, the compressibility factor Z = p V R T at a fixed volume will certainly decrease, if [Given : a and b a2019 (SA)
  9. 9The element whose salts cannot be detected by flame test is.2019 (SA)
  10. 10An organic compound contains 46 . 78 % of a halogen X . When 2 . 00 g of this compound is heated with fuming HNO 3 in the presence of AgNO 32019 (SA)
  11. 11PbO 2 is obtained from2019 (SA)
  12. 12Among the following, the correct statement about cathode ray discharge tube is2019 (SA)
  13. 13The plot of concentration of a reactant vs time for a chemical reaction is shown below. The order of this reaction with respect to the react2019 (SA)
  14. 14During the free expansion of an ideal gas in an isolated chamber,2019 (SA)
  15. 15The number of water molecules in 250 m L of water is closest to [Given, density of water is 1 . 0 g m L - 1 ; Avogadro s number = 6 . 023 102019 (SA)
  16. 16For a spontaneous process,2019 (SA)
  17. 17An organic compound X with molecular formula C 6 H 10 , when treated with HBr , forms a gem dibromide. The compound X upon warming with HgSO2019 (SA)
  18. 18Treatment with lime can remove hardness of water caused by2019 (SA)
  19. 19The oxide, which is neither acidic nor basic is2019 (SA)
  20. 20The most polarisable ion among the following is.2019 (SA)

Mathematics

  1. 1Let a n , n 1 , be an arithmetic progression with first term 2 and common difference 4 . Let M n be the average of the first n terms. Then t2019 (SA)
  2. 2Let A B C be an equilateral triangle with side length a. Let R and r denote the radii of the circumcircle and the incircle of triangle A B C2019 (SA)
  3. 3In a triangle A B C , B A C = 90 ; A D is the altitude from A on to B C . Draw D E perpendicular to A C and D F perpendicular to A B . Suppo2019 (SA)
  4. 4Let b be an non-zero real number. Suppose the quadratic equation 2 x 2 + b x + 1 b = 0 has two distinct real roots. Then2019 (SA)
  5. 5Let p x = x 2 + a x + b have two distinct real roots, where a , b are real number. Define g x = p x 3 for all real number x Then, which of t2019 (SA)
  6. 6Let x 1 , x 2 , , x 11 be 11 distinct positive integers. If we replace the largest of these integers by the median of the other 10 integers,2019 (SA)
  7. 7Let l 0 be a real number, C denote a circle with circumference l and T denote a triangle with perimeter l . Then2019 (SA)
  8. 8The number of non-negative integer solutions of the equations 6 x + 4 y + z = 200 and x + y + z = 100 100$ is2019 (SA)
  9. 9The number of three digit numbers a b c such that the arithmetic mean of b and c and the square of their geometric mean are equal is2019 (SA)
  10. 10The sides a , b , c of a triangle satisfy the relations c 2 = 2 a b and a 2 + c 2 = 3 b 2 . Then the measure of B A C , in degrees, is2019 (SA)
  11. 11Let N be the least positive integer such that whenever a non-zero digit c is written after the last digit of N, the resulting number is divi2019 (SA)
  12. 12The number of cubic polynomials P ( x ) satisfying P ( 1 ) = 2 , P ( 2 ) = 4 , P ( 3 ) = 6 , P ( 4 ) = 8 is2019 (SA)
  13. 13Let N be the set of positive integers. For all n N , let f n = n + 1 1 / 3 - n 1 / 3 and A = n N : f n + 1 1 3 n + 1 2 / 3 f n Then,2019 (SA)
  14. 14Let S = { 1 , 2 , 3 , , 100 } . Suppose b and c are chosen at random from the set S . The probability that 4 x 2 + b x + c has equal roots i2019 (SA)
  15. 15Let A B C be a triangle in which A B=B C. Let X be a point on A B, such that A X : X B = A B : A X . If A C = A X , then the measure of A B 2019 (SA)
  16. 16Let a , b , c , d be distinct real numbers such that a , b are roots of x 2 - 5 c x - 6 d = 0 , and c , d are roots of x 2 - 5 a x - 6 b = 02019 (SA)

Physics

  1. 1Which one of the following parts of the eye is affected in cataract?2019 (SA)
  2. 2Various optical processes are involved in the formation of a rainbow. Which of the following provides the correct order in time in which the2019 (SA)
  3. 3A steel ball is dropped in a viscous liquid. The distance of the steel ball from the top of the liquid is shown below. The terminal velocity2019 (SA)
  4. 4Consider two equivalent, triangular hollow prisms A and B made of thin glass plates and arranged with negligible spacing as shown in the fig2019 (SA)
  5. 5Frosted glass is widely used for translucent windows. The region, where a transparent adhesive tape is stuck over the frosted glass becomes 2019 (SA)
  6. 6A student in a town in India, where the price per unit (1 unit = 1 kWh ) of electricity is 5 . 00 , purchases a 1 kVA UPS (uninterrupted pow2019 (SA)
  7. 7A specially designed Vernier calliper has the main scale least count of 1 mm . On the Vernier scale, there are 10 equal divisions and they m2019 (SA)
  8. 8A ball is moving uniformly in a circular path of radius 1 m with a time period of 1 . 5 s . If the ball is suddenly stopped at t = 8 . 3 s ,2019 (SA)
  9. 9The nuclear radius is given by R = r 0 A 1 / 3 , where r 0 is constant and A is the atomic mass number. Then, the nuclear mass density of U 2019 (SA)
  10. 10Which one of the following schematic graphs best represents the variation of p V (in Joules) versus (in Kelvin) of one mole of an ideal gas?2019 (SA)
  11. 11A particle slides from the top of a smooth hemispherical surface of radius R which is fixed on a horizontal surface. If it separates from th2019 (SA)
  12. 12Two masses M 1 and M 2 carry positive charges Q 1 and Q 2 , respectively. They are dropped to the floor in a laboratory set up from the same2019 (SA)
  13. 13Two masses M 1 and M 2 carry positive charges Q 1 and Q 2 , respectively. They are dropped to the floor in a laboratory set up from the same2019 (SA)
  14. 14Mumbai needs 1 . 4 10 12 L of water annually. Its effective surface area is 600 km 2 and it receives an average rainfall of 2 . 4 m annually2019 (SA)
  15. 15A mass M moving with a certain speed V collides elastically with another stationary mass m . After the collision, the masses M and m move wi2019 (SA)
  16. 16A water-proof laser pointer of length 10 cm placed in a water tank rotates about a horizontal axis passing through its centre of mass in a v2019 (SA)
  17. 17Four ray 1,2,3 and 4 are incident normally on the face P Q of an isosceles prism P Q R with apex angle Q = 120 . The refractive indices of t2019 (SA)
  18. 18In an hour-glass approximately 100 grains of sand fall per second (starting from rest); and it takes 2 s for each sand particle to reach the2019 (SA)
  19. 19A student uses the resistance of a known resistor ( 1 Ω ) to calibrate a voltmeter and an ammeter using the circuits shown below. The studen2019 (SA)
  20. 20A hot air balloon with a payload rises in the air. Assume that the balloon is spherical in shape with diameter of 11 . 7 m and the mass of t2019 (SA)
  21. 21A healthy adult of height 1 . 7 m has an average blood pressure (BP) of 100 mm of Hg . The heart is typically at a height of 1 . 3 m from th2019 (SA)

Frequently Asked Questions

1.How many questions are in the KVPY 2019 SA paper?

This paper has 57 questions in total - 20 from Chemistry, 16 from Mathematics, and 21 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 SB/SX paper for the same year?

The KVPY 2019 SB/SX paper is listed separately - you can switch to it from the "KVPY Paper Wise PYQs" panel, under KVPY 2019.

4.How is the KVPY 2019 SA paper structured?

The KVPY 2019 SA paper on MARKS has 57 questions, organised by subject:

  • Chemistry: 20 questions - 20 single-correct.
  • Mathematics: 16 questions - 16 single-correct.
  • Physics: 21 questions - 21 single-correct.
5.Which chapters were asked the most in the KVPY 2019 SA paper?

The chapters with the most questions in each subject were:

  • Chemistry: Some Basic Concepts of Chemistry (3), Chemical Bonding and Molecular Structure (2), and General Organic Chemistry (2).
  • Mathematics: Properties of Triangles (5), Quadratic Equation (5), and Sequences and Series (2).
  • Physics: Ray Optics (6), Current Electricity (2), and Electrostatics (2).
6.Where can I find the solutions for the KVPY 2019 SA 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 2019 SA paper to check my preparation?

Set a timer, attempt the 57 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.