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KVPY 2015 SB/SX

Browse the complete Chemistry, Mathematics, and Physics question set from the KVPY 2015 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. 1when fused with and oxidized in air gives a dark green compound . In acidic . In acidic solution, undergoes disproportion to give an intense2015 (SB/SX)
  2. 2The electronic configuration of an element with the largest difference between the and ionization energies is2015 (SB/SX)
  3. 3The molar conductivities of , and at infinite dilution follow the order2015 (SB/SX)
  4. 4The structure of the polymer obtained by the following reaction is2015 (SB/SX)
  5. 5The major product of the reaction between and in ethanol is2015 (SB/SX)
  6. 6The Lewis acid strength of and is in the order2015 (SB/SX)
  7. 7The rate constant of a chemical reaction at a very high temperature will approach2015 (SB/SX)
  8. 8The major product of the reaction2015 (SB/SX)
  9. 9The pH of aqueous solutions of and HCOOH follows the order2015 (SB/SX)
  10. 10Which of the following molecules can exhibit optical activity?2015 (SB/SX)
  11. 11For the reaction where (the average bond energies are and ). The heats of formation of and in , respectively, are closest to2015 (SB/SX)
  12. 12An organic compound having molecular formula under goes oxidation with to produce which contains carbon, hydrogen and oxygen. The molecular 2015 (SB/SX)
  13. 13The most abundant transition metal in human body is2015 (SB/SX)
  14. 14Reaction of aniline with dil. HCl at followed by reaction with yields.2015 (SB/SX)
  15. 15The volume vs. temperature graph of I mole of an ideal gas is given below. The pressure of the gas (in atm) at and , respectively, are2015 (SB/SX)
  16. 16In the reaction and are2015 (SB/SX)
  17. 17Schottky defect in a crystal arises due to2015 (SB/SX)
  18. 18The geometry and the number of unpaired electron(s) of , respectively, are2015 (SB/SX)
  19. 19is isoelectronic with2015 (SB/SX)
  20. 20In alkaline medium, the reaction of hydrogen peroxide with potassium permanganate produces a compound in which the oxidation state of is2015 (SB/SX)
  21. 21The standard reduction potentials (in V) of a few metal ion/metal electrodes are given below. The reducing strength of the metals follows th2015 (SB/SX)
  22. 22The , and bond angles (in degrees) in methane, ammonia and water are respectively, closest to2015 (SB/SX)
  23. 23The spin only magnetic moment of is where is2015 (SB/SX)
  24. 24The maximum number of cyclic isomers (positional and optical) of a compound having formula is2015 (SB/SX)
  25. 25When gas is passed through a hot acidic aqueous solution containing and , a precipitate is formed which consists of2015 (SB/SX)
  26. 26The equilibrium constants for the reactions and are and , respectively. If the initial concentrations and the degree of dissociation of and 2015 (SB/SX)
  27. 27The standard cell potential for is . When the cell is completely discharged, is closest to2015 (SB/SX)
  28. 28The order of electro negativity of carbon in sp, sp and hybridized states follows2015 (SB/SX)
  29. 29A metal dissolves both in dilute and dilute to liberate . Addition of and excess to an HCl solution of produce as a precipitate. is also pro2015 (SB/SX)
  30. 30If -D-glucose is dissolved in water and kept for a few hours, the major constituent(s) present in the solution is (are)2015 (SB/SX)

Mathematics

  1. 1Let and let a subset of be chosen so that every pair of elements of A differ by at least 3. (For example, if can be or among others). When ,2015 (SB/SX)
  2. 2The largest perfect square that divides is2015 (SB/SX)
  3. 3If , then equals.2015 (SB/SX)
  4. 4The shortest distance from the origin to a variable point on the sphere is2015 (SB/SX)
  5. 5Suppose is a hexagon such that and 2. If the vertices are concyclic, the radius of the circle passing through them is.2015 (SB/SX)
  6. 6Let and . Suppose that where is parallel to and is perpendicular to . Then is2015 (SB/SX)
  7. 7Suppose is a rectangle in the -plane where o is the origin and lie on the parabola . Then must lie on the curve.2015 (SB/SX)
  8. 8Let be a polynomial such that , where is a positive integer. Then equals.2015 (SB/SX)
  9. 9The remainder when the determinant is divided by 5 is.2015 (SB/SX)
  10. 10The sides of a right -angled triangle are integers. The length of one of the sides is 12. The largest possible radius of the in circle of su2015 (SB/SX)
  11. 11Let Which of the following statements is FALSE?2015 (SB/SX)
  12. 12Circles and , of radii and respectively, touch each other as shown in figure. The line , which is parallel to the line joining the centres o2015 (SB/SX)
  13. 13Define a function by Where is a fixed natural number, Then is2015 (SB/SX)
  14. 14Let and let Then2015 (SB/SX)
  15. 15The number of ordered pairs of real numbers that satisfy the simultaneous equations. is2015 (SB/SX)
  16. 16There are 6 boxes labeled . In each trial, two fair dice are known. If shows and shows , then balls are put into the box . After trials, wha2015 (SB/SX)
  17. 17Let be a continuous function satisfying for all . Then2015 (SB/SX)
  18. 18The figure shows a portions of the graph . The line is such that the areas of the regions marked I and II are equal. If are the -coordinates2015 (SB/SX)
  19. 19The value of the limit is2015 (SB/SX)
  20. 20A mirror in the first quadrant is in the shape of a hyperbola whose equation is A light source in the second quadrant emits a beam of light 2015 (SB/SX)
  21. 21Among all sectors of a fixed perimeter, choose the one with maximum area. Then the angle at the center of this sector (i.e., the angle betwe2015 (SB/SX)
  22. 22The number of real numbers for which the equality , holds for all real which are not integral multiples of is2015 (SB/SX)
  23. 23Let2015 (SB/SX)
  24. 24Let be a fixed real number. Then the integral is equal to.2015 (SB/SX)
  25. 25Suppose are positive integers such that Then is equal to2015 (SB/SX)
  26. 26If is a cubic polynomial with and , then is2015 (SB/SX)
  27. 27An urn contains marbles of four colours: red, white, blue and green. When four marbles are drawn without replacement, the following events a2015 (SB/SX)
  28. 28Let where is a real constant. The smallest for which for all is2015 (SB/SX)
  29. 29If is a complex number satisfying , then the maximum possible value of is2015 (SB/SX)
  30. 30Let be a real number. Then the limit is2015 (SB/SX)

Physics

  1. 1A simple pendulum of length 1 is made to oscillate with amplitude of 45 degrees. The acceleration due to gravity is Let . The time period of2015 (SB/SX)
  2. 2Electromagnetic waves emanating from a point (in air) are incident on a rectangular block of material and emerge from the other side as show2015 (SB/SX)
  3. 3In the circuit shown below, all the inductors (assumed ideal) and resistors are identical. The current through the resistance on the right i2015 (SB/SX)
  4. 4A cubical vessel has opaque walls. An observer (dark circle in figure below) is located such that she can see only the wall CD but not the b2015 (SB/SX)
  5. 5Two uniform plates of the same thickness and area but of different materials, one shaped like an isosceles triangle and the other shaped lik2015 (SB/SX)
  6. 6A horizontal disk of moment of inertia with respect to its axis of symmetry is spinning counter clockwise at 15 revolutions per second about2015 (SB/SX)
  7. 7For a diode connected in parallel with a resistor, which is the most likely current -voltage characteristic?2015 (SB/SX)
  8. 8A boy is standing on top of a tower of height and throws a ball in the vertically upward direction with a certain speed. If seconds later he2015 (SB/SX)
  9. 9A horizontal steel railroad track has a length of when the temperature is . The track is constrained from expanding or bending. The stress o2015 (SB/SX)
  10. 10A point charge rotates uniformly in a vertical circle of radius . The axis of the circle is aligned along the magnetic axis of the earth. At2015 (SB/SX)
  11. 11Carbon-11 decays to boron-11 according to the following formula. Assume that positrons produced in the decay combine with free electrons in 2015 (SB/SX)
  12. 12The moments of inertia of a non-uniform circular disc (of mass and radius ) about four mutually perpendicular tangents are and respectively 2015 (SB/SX)
  13. 13The state of an ideal gas was changed isobarically. The graph depicts three such isobaric lines. Which of the following is true about the pr2015 (SB/SX)
  14. 14A wire bent in the shape of a regular n polygonal loop carries a steady current I. Let 1 be the perpendicular distance of a given segment an2015 (SB/SX)
  15. 15The distance between the vertex and the center of mass of a uniform solid planar circular segment of angular size and radius is given by.2015 (SB/SX)
  16. 16A small box resting on one edge of the table is struck in such a way that it slides off the other edge, away, after 2 seconds. The coefficie2015 (SB/SX)
  17. 17A donor atom in a semiconductor has a loosely bound electron. The orbit of this electron is considerably affected by the semiconductor mater2015 (SB/SX)
  18. 18Two identical objects each of radii and masses and are suspended using two strings of equal length as shown in the figure $(R2015 (SB/SX)
  19. 19A beam of monoenergetic electrons, which have been accelerated from rest by a potential , is used to form an interference pattern in a Young2015 (SB/SX)
  20. 20An ideal gas undergoes a circular cycle centered at lit as shown in the diagram. The maximum temperature attained in this process is close t2015 (SB/SX)
  21. 21The intensity of sound during the festival season increased by 100 times. This could imply a decibel level rise from2015 (SB/SX)
  22. 22One end of a slack wire (Young's modulus Y, length and cross-sectional area A) is clamped to a rigid wall and the other end to a block (mass2015 (SB/SX)
  23. 23An object is propelled vertically to a maximum height of from the surface of a planet of radius and mass . The speed of object when it retur2015 (SB/SX)
  24. 24An ac voltmeter connected between points and in the circuit below reads . If it is connected between and , the reading is . The reading when2015 (SB/SX)
  25. 25A closed bottle containing water at is open on the surface of the moon. Then2015 (SB/SX)
  26. 26Two small metal balls of different mass and are connected by strings of equal length to a fixed point. When the balls are given charges, the2015 (SB/SX)
  27. 27The dimensions of the area A of a black hole can be written in terms of the universal constant , its mass and the speed of light as Here2015 (SB/SX)
  28. 28Consider the regular array of vertical identical current carrying wires (with direction of current flow as indicated in the figure below) pr2015 (SB/SX)
  29. 29A metallic ring of radius a and resistance is held fixed with its axis along a spatially uniform magnetic field whose magnitude is . Neglect2015 (SB/SX)
  30. 30A 160 watt infrared source is radiating light of wavelength uniformly in all directions. The photon flux at a distance of is of the order of2015 (SB/SX)

Frequently Asked Questions

1.How many questions are in the KVPY 2015 SB/SX paper?

This paper has 90 questions in total - 30 each from Chemistry, Mathematics, and 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 2015 SA paper is listed separately - you can switch to it from the "KVPY Paper Wise PYQs" panel, under KVPY 2015.

4.What is the structure of the KVPY 2015 SB/SX paper?

The KVPY 2015 SB/SX paper on MARKS has 90 questions, organised by subject:

  • Chemistry: 30 questions - 30 single-correct.
  • Mathematics: 30 questions - 30 single-correct.
  • Physics: 30 questions - 30 single-correct.
5.Which chapters had the most questions in the KVPY 2015 SB/SX paper?

The chapters with the most questions in each subject were:

  • Chemistry: Classification of Elements and Periodicity in Properties (3), Electrochemistry (3), and General Organic Chemistry (3).
  • Mathematics: Basic of Mathematics (4), Quadratic Equation (4), and Circle (2).
  • Physics: Oscillations (3), Alternating Current (2), and Center of Mass Momentum and Collision (2).
6.Where can I find the solutions for the KVPY 2015 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 2015 SB/SX paper to check my preparation?

Set a timer, attempt the 90 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.