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KVPY 2018 SB/SX

Browse the complete Chemistry, Mathematics, and Physics question set from the KVPY 2018 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 amount (in mol) of bromoform CHBr 3 produced when 1 . 0 mole of acetone reacts completely with 1 . 0 mole of bromine in the presence of 2018 (SB/SX)
  2. 2The following compound can readily be prepared by Williamson ether synthesis by reaction between2018 (SB/SX)
  3. 3X and Y are2018 (SB/SX)
  4. 4The higher stabilities of tert-butyl cation over isopropyl cation and trans- 2 - butene over propene, respectively, are due to orbital inter2018 (SB/SX)
  5. 5The major product of the following reaction, is2018 (SB/SX)
  6. 6Benzaldehyde can be converted to benzyl alcohol in concentrated aqueous NaOH solution using2018 (SB/SX)
  7. 7Among the following, the plot that correctly represents the conductometric titration of 0 . 05 M H 2 SO 4 with 0 . 1 M NH 4 OH is2018 (SB/SX)
  8. 8Among C , S and P , the element (s) that produce (s) SO 2 on reaction with hot conc. H 2 SO 4 is/are2018 (SB/SX)
  9. 9Consider the following statements about Langmuir isotherm. I. The free gas and adsorbed gas are in dynamic equilibrium. II. All adsorption s2018 (SB/SX)
  10. 10The oxoacid of phosphorus having the strongest reducing property is2018 (SB/SX)
  11. 11The complex that can exhibit linkage isomerism is2018 (SB/SX)
  12. 12The ionic radii of Na + , F - , O 2 - , N 3 - follow the order2018 (SB/SX)
  13. 13Among the following species, the H - X - H angle ( X = B , N or P ) follows the order.2018 (SB/SX)
  14. 14The tendency of X in BX 3 X = F , Cl , OMe , NMe 2 to form a -bond with boron follows the order2018 (SB/SX)
  15. 15The correct representation of wavelength intensity relationship of an ideal black body radiation at two different temperatures T 1 and T 2 i2018 (SB/SX)
  16. 16The pressure p and volume V isotherm of a van der Waals gas, at the temperature at which it undergoes gas to liquid transition, is correctly2018 (SB/SX)
  17. 17A buffer solution can be prepared by mixing equal volumes of2018 (SB/SX)
  18. 18The plot of total vapour pressure as a function of mole fraction of the components of an ideal solution formed by mixing liquids X and Y is2018 (SB/SX)
  19. 19On complete hydrogenation, natural rubber produces2018 (SB/SX)
  20. 20Consider the following reversible first order reaction of X at an initial concentration X 0 . The values of the rate constants are K f = 2 s2018 (SB/SX)
  21. 21The average energy of each hydrogen bond in A - T pair is x kcal mol - 1 and that in G - C pair is y kcalmol - 1 . Assuming that no other in2018 (SB/SX)
  22. 22For the electrochemical cell shown below Pt | H 2 p = 1 atm | H + aq . , xM | Cu 2 + aq , 1 . 0 M Cu s The potential is 0 . 49 V at 298 K . 2018 (SB/SX)
  23. 23Nitroglycerine MW = 227 . 1 detonates according to the following equations, 2 C 3 H 5 NO 3 3 l 3 N 2 g + 1 2 O 2 g + 6 CO 2 g + 5 H 2 O g Th2018 (SB/SX)
  24. 24The complex having the highest spin only magnetic moment is2018 (SB/SX)
  25. 25The heating of NH 4 2 Cr 2 O 7 produces another chromium compound along with N 2 gas. The change of the oxidation state of Cr in the reactio2018 (SB/SX)
  26. 26Among Ce 4 f 1 5 d 1 6 s 2 , Nd 4 f 1 6 s 2 , Eu 4 f 7 6 s 2 and Dy 4 f 10 6 s 2 , the elements having highest and lowest 3 rd ionisation en2018 (SB/SX)
  27. 27The major product of the following reaction sequence,2018 (SB/SX)
  28. 28Among the following reactions, a mixture of diastereomers is produced from2018 (SB/SX)
  29. 29Reaction of phenol with NaOH followed by heating with CO 2 under high pressure, and subsequent acidification gives compound X as the major p2018 (SB/SX)
  30. 30A tetrapeptide is made of naturally occurring alanine, serine, glycine and valine. If the C -terminal amino acid is alanine and the N -termi2018 (SB/SX)

Mathematics

  1. 1For 0 2 , four tangents are drawn at the four points 3 cos , 2 sin to the ellipse x 2 9 + y 2 4 = 1 . If A denotes the area of the quadrilat2018 (SB/SX)
  2. 2Suppose A = a b c d is a real matrix with non-zero entries, a d - b c = 0 and A 2 = A . Then, a + d equals2018 (SB/SX)
  3. 3On any given arc of positive length on the unit circle | z | = 1 in the complex plane.2018 (SB/SX)
  4. 4On a rectangular hyperbola x 2 - y 2 = a 2 , a 0 , three points A , B , C are taken as follows : A = - a , 0 ; B and C are placed symmetrica2018 (SB/SX)
  5. 5Let S = x R : cos x + cos 2 x 2 , then2018 (SB/SX)
  6. 6The number of real solutions x of the equation cos 2 x sin 2 x + 1 1 + x 2 = cos 2 x + sec 2 x is2018 (SB/SX)
  7. 7Let x 2 a 2 + y 2 b 2 = 1 , a b be an ellipse with foci F 1 and F 2 Let A O be its semi-minor axis, where O is the centre of the ellipse. Th2018 (SB/SX)
  8. 8Let S be the set of real numbers p such that there is no non-zero continuous function f : R R satisfying 0 x f t d t = p f x for all x R . T2018 (SB/SX)
  9. 9Let f x = x |sin x| , x R . Then,2018 (SB/SX)
  10. 10Let ln x denote the logarithm of x with respect to the base e Let S R be the set of all points where the function ln x 2 - 1 is well-defined2018 (SB/SX)
  11. 11A rectangle with its sides parallel to the X -axis and Y -axis is inscribed in the region bounded by the curves y = x 2 - 4 and 2 y = 4 - x 2018 (SB/SX)
  12. 12The value of the integral 0 1 - | sin 8 x | d x is2018 (SB/SX)
  13. 13f : - 1 , 1 R be a function defined by f x = x 2 cos x for x 0 0 for x = 0 The set of points where f is not differentiable is2018 (SB/SX)
  14. 14Let a = cos 1 and b = sin 1 . We say that a real number is algebraic if it is a root of a polynomial with integer coefficients. Then,2018 (SB/SX)
  15. 15The probability of men getting a certain disease is 1 2 and that of women getting the same disease is 1 5 . The blood test that identifies t2018 (SB/SX)
  16. 16What is the probability that a human individual would receive the entire haploid set of chromosomes from his/her grandfather?2018 (SB/SX)
  17. 17Suppose A is 3 3 matrix consisting of integer entries that are chosen at random from the set - 1000 , - 999 , 999 , 1000 . Let P be the prob2018 (SB/SX)
  18. 18Let f : 0 , 1 - 1 , 1 and g : - 1 , 1 0 , 2 be two functions such that g is injective and g o f : 0 , 1 0 , 2 is surjective. Then,2018 (SB/SX)
  19. 19Let x k be real numbers such that x k k 4 + k 2 + 1 for 1 k 2018 . Denote N = k = 1 2018 k . Consider the following inequalities. I. k = 1 22018 (SB/SX)
  20. 20Number of functions f : 0 , 1 0 , 1 satisfying f x - f y = x - y for all x , y in 0 , 1 is2018 (SB/SX)
  21. 21Let x 2 = 4 k y , k 0 be a parabola with vertex A . Let B C be its latusrectum. An ellipse with centre on B C touches the parabola at A , an2018 (SB/SX)
  22. 22The number of four-letter words that can be formed with letters a , b , c such that all three letters occur is2018 (SB/SX)
  23. 23Let R be a rectangle, C be a circle, and T be a triangle in the plane. The maximum possible number of points common to the perimeters of R ,2018 (SB/SX)
  24. 24Let T be a circle with diameter A B and centre O . Let l be the tangent to T at B . For each point M on T different from A , consider the ta2018 (SB/SX)
  25. 25The number of different possible values for the sum x + y + z , where x , y , z are real number such that x 4 + 4 y 4 + 16 z 4 + 64 = 32 x y2018 (SB/SX)
  26. 26Let f : 0 , 1 R be an injective continuous function that satisifes the condition - 1 f 0 f 1 1 Then, the number of functions g : - 1 , 1 0 ,2018 (SB/SX)
  27. 27The number of solutions x of the equation sin x + x 2 - sin x 2 = sin x in the interval 2 , 3 is2018 (SB/SX)
  28. 28The maximum possible area bounded by the parabola y = x 2 + x + 10 and a chord of the parabola of length 1 is2018 (SB/SX)
  29. 29Suppose the limit L = lim n n 0 1 1 1 + x 2 n d x exists and is larger than 1 2 . Then,2018 (SB/SX)
  30. 30Suppose z is any root of 11 z 8 + 21 i z 7 + 10 i z - 22 = 0 where i = - 1 . Then, S = | z | 2 + | z | + 1 satisfies2018 (SB/SX)
  31. 31The number of polynomials p : R R satisfying p 0 = 0 , p x x 2 for all x 0 and p ' ' 0 = 1 2 is2018 (SB/SX)
  32. 32Consider the set A n of points x , y such that 0 x n , 0 y n where n , x , y are integers. Let S n be the set of all lines passing through a2018 (SB/SX)

Physics

  1. 1A table has a heavy circular top of radius 1 m and mass 20 kg placed on four light (considered massless) legs placed symmetrically on its ci2018 (SB/SX)
  2. 2Figures below show water flowing through a horizontal pipe from left to right. Note that the pipe in the middle is narrower. Choose the most2018 (SB/SX)
  3. 3A thermally insulated rigid container of 1 L volume contains a diatomic ideal gas at room temperature. A small paddle installed inside the c2018 (SB/SX)
  4. 4For an ideal gas, the internal energy is given by U = 5 p V / 2 + C , where C is a constant. The equation of the adiabats in the p V -plane 2018 (SB/SX)
  5. 5Air (density ) is being blown on a soap film (surface tension T ) by a pipe of radius R with its opening right next to the film. The film is2018 (SB/SX)
  6. 6In Young s double slit experiment, the amplitudes of the two waves incident on the two slits are A and 2 A . If I 0 is the maximum intensity2018 (SB/SX)
  7. 7A plank is moving in a horizontal direction with a constant acceleration a i ^ . A uniform rough cubical block of side l rests on the plank 2018 (SB/SX)
  8. 8Using the Heisenberg uncertainty principle, arrange the following particles in the order of increasing lowest energy possible. (I) An electr2018 (SB/SX)
  9. 9The current in flowing along the path A B C D of a cube (shown in the left figure) produces a magnetic field at the centre of cube of magnit2018 (SB/SX)
  10. 10An ideal gas is made to undergo the cyclic process shown in the figure below. Let Δ W depict the work done, Δ U be the change in internal en2018 (SB/SX)
  11. 11One mole of a monoatomic gas and one mole of a diatomic gas are initially in the same state. Both gases are expanded isothermally and then a2018 (SB/SX)
  12. 12A thin metallic disc is rotating with constant angular velocity about a vertical axis that is perpendicular to its plane and passes through 2018 (SB/SX)
  13. 13Two balls of mass M and 2 M are thrown horizontally with the same initial velocity v 0 from top of a tall tower and experience a drag force 2018 (SB/SX)
  14. 14Consider a glass cube slab of dielectric bound by the planes x = 0 , x = a ; y = 0 , y = b ; z = 0 , z = c ; with b a c . The slab is placed2018 (SB/SX)
  15. 15The graph shows the log of activity log R of a radioactive material as a function of time t in minutes. The half-life (in minute) for the de2018 (SB/SX)
  16. 16The magnetic field is uniform for y > 0 and points into the plane. The magnetic field is uniform and points out of the plane for y 0 . A pro2018 (SB/SX)
  17. 17An electrostatic field line leaves at an angle α from point charge q 1 and connects with point charge - q 2 at an angle β ( q 1 and q 2 are 2018 (SB/SX)
  18. 18Assume that, the drag force on a football depends only on the density of the air, velocity of the ball and the cross-sectional area of the b2018 (SB/SX)
  19. 19The Hitomi satellite recently observed the Lyman alpha emission line ( n = 2 to n = 1 ) of hydrogen-like iron ion (atomic number of iron is 2018 (SB/SX)
  20. 20In steady state heat conduction, the equations that determine the heat current j r [heat flowing per unit time per unit area] and temperatur2018 (SB/SX)
  21. 21An arrangement of spring, strings, pulley and masses is shown in the figure below. The pulley and the strings are massless and M > m . The s2018 (SB/SX)
  22. 22A wheel of radius R is trapped in a mud pit and spinning. As the wheel is spinning, it splashes mud blobs with initial speed u from various 2018 (SB/SX)
  23. 23The potential due to an electrostatic charge distribution is V r = q e - r 4 0 r , where is positive. The net charge within a sphere centred2018 (SB/SX)
  24. 24Two rods of copper and iron with the same cross-sectional area are joined at S and a steady current I flows through the rods as shown in the2018 (SB/SX)
  25. 25Graphs below show the entropy versus energy U of two systems 1 and 2 at constant volume. The initial energies of the systems are indicated b2018 (SB/SX)
  26. 26The image of an object O due to reflection from the surface of a lake is elongated due to the ripples on the water surface caused by a light2018 (SB/SX)
  27. 27A spiral galaxy can be approximated as an infinitesimally thin disc of a uniform surface mass density (mass per unit area) located at z = 0 2018 (SB/SX)
  28. 28Two mutually perpendicular infinitely long straight conductors carrying uniformly distributed charges of linear densities λ 1 and λ 2 are po2018 (SB/SX)
  29. 29The graph below shows the variation of a force F with time t on a body which is moving in a straight line. Dependence of force on time is F 2018 (SB/SX)

Frequently Asked Questions

1.How many questions are in the KVPY 2018 SB/SX paper?

This paper has 91 questions in total - 30 from Chemistry, 32 from Mathematics, and 29 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 2018 SA paper is listed separately - you can switch to it from the "KVPY Paper Wise PYQs" panel, under KVPY 2018.

4.How is the KVPY 2018 SB/SX paper structured?

The KVPY 2018 SB/SX paper on MARKS has 91 questions, organised by subject:

  • Chemistry: 30 questions - 30 single-correct.
  • Mathematics: 32 questions - 32 single-correct.
  • Physics: 29 questions - 29 single-correct.
5.Which chapters were asked the most in the KVPY 2018 SB/SX paper?

The chapters with the most questions in each subject were:

  • Chemistry: p Block Elements (Group 15, 16, 17 & 18) (3), Alcohols Phenols and Ethers (2), and Aldehydes and Ketones (2).
  • Mathematics: Functions (4), Complex Number (3), and Ellipse (3).
  • Physics: Thermodynamics (5), Laws of Motion (4), and Electrostatics (3).
6.Where can I find the solutions for the KVPY 2018 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 2018 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.