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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|
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Question 1 of 20
1. QuestionCategory: Maths
Let x, y, z be three non-negative integers such that x + y + z = 10. The maximum possible value of xyz + xy + yz + zx is
Question 2 of 20
2. QuestionCategory: Maths
If a, b are natural numbers such that 2013 + a2 = b2, then the minimum possible value of ab is
Question 3 of 20
3. QuestionCategory: Maths
The 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. QuestionCategory: Maths
Let a, b be non-zero real numbers. Which of the following statements about the quadratic equation ax2 + (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. QuestionCategory: Physics
A 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. QuestionCategory: Physics
A 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 (Vy) as a function of time (t)?
Question 7 of 20
7. QuestionCategory: Physics
A 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 P1, P2 and P3
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. QuestionCategory: Physics
The 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. QuestionCategory: Chemistry
The moelcule having a formly group is
Question 10 of 20
10. QuestionCategory: Chemistry
The structure of cis-3-hexene is
Question 11 of 20
11. QuestionCategory: Chemistry
The number of sp
hybridized carbon atoms in
Question 12 of 20
12. QuestionCategory: Chemistry
The number of valence electrons in an atom with electronic configuration 1s2 2s2 2p6 3s2 3p3
Question 13 of 20
13. QuestionCategory: Biology
The Bowmanís capsule, a part of the kidney is the site of
Question 14 of 20
14. QuestionCategory: Biology
In human brain the sensation of touch, pain and temperature is controlled by the
Question 15 of 20
15. QuestionCategory: Biology
A pathogan which can not be cultured in an artificial medium is
Question 16 of 20
16. QuestionCategory: Biology
Meiosis I and Meiosis II are characterised by the separation of,
Question 17 of 20
17. QuestionCategory: Maths II
Let 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. QuestionCategory: Physics II
Two 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. QuestionCategory: Chemistry II
The 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. QuestionCategory: Biology II
Sister chromatids of a chromosome have