As you requires I am here giving you here sample paper to download for Kishore Vaigyanik Protsahan Yojana (KVPY) exam.

KVPY exam sample paper :

The equation z2 = z , where z is a complex number, has
(A) 4 solution (B) 2 solution
(C) no solution (D) infinitely many solutions

Two perpendicular chords AB and CD of a circle meet at P. If PA = 2, PB = 18 and PC = 4, then the
diameter of the circle is

An ellipse has its major axis equal to the diameter of a circle and the area of the ellipse is one-third the
area of the circle. The eccentricity of the ellipse is :

In a square ABCD, points P on BC and Q on CD are such that AP = 4, PQ = 3 and QA = 5. The area of
ABCD is

In a triangle ABC, AD bisects A. Suppose AC = 2, BD = 2, DC = 1. The value of cos B is


Consider the following statements :
(I) The derivative of an odd differentiable function is always even.
(II) If f(x) is differentiable at a point x0 and g(x) is not differentiable at x0, then f(x) g(x) is not differentiable
at x0.
Which of the following is true ?
(A) I and II are both true (B) I is true and II is false
(C) I is false and II is true (D) I and II are both false

A coin is tossed until one observes a sequence of exactly three tails. The probability that the experiment
comes to an end at 7-th toss is .


Super cooled steam suddenly freezes to water. In this process,
(A) entropy of the system (steam) decreases, but entropy of the universe increases
(B) entropy of the system as well as entropy of environment decreases
(C) entropy of the system as well as entropy of the environment increases
(D) entropy of the system increases but entropy of the environment decreases

One end of a cylindrical solid rod of length L and radius r is clamped in a fixed positon. The other end is
turned by an external torque  resulting in a twist . The sheer modulus is given by . The twist angle  is
proportional to :


Consider a sinusoidal traveling wave along a string, with amplitude A and wave velocity v. The power
carried by the wave is proportonal to

Monochromatic light falls on a pair of slits mounted 24 cm in front of a photographic film. After exposure,
the film shows a series of bright bands spaced 0.20 cm apart. The separation between the slits is 6.0 ×
10-3 cm. The wavelength of light is :
(A) 600 nm (B) 400 nm (C) 500 nm (D) 560 nm

Two clean mercury droplets when pushed into contact spontaneously coalesce to form a single droplet.
The single droplet so formed will :
(A) Be slightly warmer than the separate pair of droplets
(B) Be slightly cooler than the separate pair droplets
(C) Have the same temperature as the separate pair of droplets
(D) Be warmer or cooler depending on the size of each initial droplet.





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Attached Files

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