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KVPY Mock Test – SA (Quiz)
Number of questions  20 
Type of questions  Multiple Choice Question with single answer correct 
Time limit (duration of exam)  45 minutes 
Mock Test for  KVPY SA Stream 
Marks for correct answer in Part I  +1 
Marks for correct answer in Part II  +2 
Maximum Marks  32 
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Question 1 of 20
1. Question
Category: MathsLet x, y, z be three nonnegative integers such that x + y + z = 10. The maximum possible value of xyz + xy + yz + zx is

Question 2 of 20
2. Question
Category: MathsIf a, b are natural numbers such that 2013 + a^{2} = b^{2}, then the minimum possible value of ab is

Question 3 of 20
3. Question
Category: MathsThe number of values of b for which there is an isosceles triangle with sides of length b + 5, 3b – 2 and 6 – b is

Question 4 of 20
4. Question
Category: MathsLet a, b be nonzero real numbers. Which of the following statements about the quadratic equation ax^{2} + (a + b)x + b = 0 is neccesarily true ?
(I) It has at least one negative root
(II) It has at least one positive root.
(III) Both its roots are real. 
Question 5 of 20
5. Question
Category: PhysicsA man inside a freely falling box throws a heavy ball towards a side wall. The ball keeps on bouncing between the opposite walls of the box. We neglect air resistance and friciton. Which of the following figures depicts the motion of the centre of mass of the entire system (man, the ball and the box)?

Question 6 of 20
6. Question
Category: PhysicsA ball is thrown horizontally from a height with a certain initial velocity at time t = 0. The ball bounces repeatedly from the ground with the coefficient of restitution less than 1 as shown.
Neglect air resistance and taking the upward direction as positive, which figure qualitatively depicts the vertical component of the ballís velocity (V_{y}) as a function of time (t)? 
Question 7 of 20
7. Question
Category: PhysicsA tall tank filled with water has an irregular shape as shown. The wall CD makes an angle of 45° with the horizontal; the wall AB is normal to the base BC. The lengths AB and CD are much smaller than the height h of water (figure not to scale).
Let P_{1}, P_{2} and P_{3}
be the pressures exerted by the water on the wall AB, base BC and the wall CD respectively. Density of water is and g is acceleration due to gravity. Then, approximately 
Question 8 of 20
8. Question
Category: PhysicsThe accompanying graph of position x versus time t represents the motion of a particle. If p and q are both positive constants, the expression that best describes the acceleration α of the particle is

Question 9 of 20
9. Question
Category: ChemistryThe moelcule having a formly group is

Question 10 of 20
10. Question
Category: ChemistryThe structure of cis3hexene is

Question 11 of 20
11. Question
Category: ChemistryThe number of sp
hybridized carbon atoms in

Question 12 of 20
12. Question
Category: ChemistryThe number of valence electrons in an atom with electronic configuration 1s^{2}^{ 2s}^{2}^{ 2p}^{6}^{ 3s}^{2}^{ 3p}^{3}^{}

Question 13 of 20
13. Question
Category: BiologyThe Bowmanís capsule, a part of the kidney is the site of

Question 14 of 20
14. Question
Category: BiologyIn human brain the sensation of touch, pain and temperature is controlled by the

Question 15 of 20
15. Question
Category: BiologyA pathogan which can not be cultured in an artificial medium is

Question 16 of 20
16. Question
Category: BiologyMeiosis I and Meiosis II are characterised by the separation of,

Question 17 of 20
17. Question
Category: Maths IILet a, b, c, d, e be natural numbers in an arithmetic progression such that a + b + c + d + e is the cube of an integer and b + c + d is square of an integer. The least possible value of the number of digits of c is

Question 18 of 20
18. Question
Category: Physics IITwo identical uniform rectangular blocks (with longest side L) and a solid sphere of radius R are to be balanced at the edge of a heavy table such that the centre of the sphere remains at the maximum possible horizontal distance from the vertical edge of the table without toppling as indicated in the figure.
If the mass of each block is M and of the sphere is M/2, then the maximum distance x that can be achieved is 
Question 19 of 20
19. Question
Category: Chemistry IIThe degree of dissociation of acetic acid (0.1 mol L^{1} in water (Ka of acetic acid is 10^{5} is

Question 20 of 20
20. Question
Category: Biology IISister chromatids of a chromosome have