KVPY Exam Online Mock Test Set C

1. Choose the correct option with appropriate medium of circulation and transport against each animal.

2. Total population of 800 individuals which formed F₂ population (9 : 3 : 3 : 1) of a cross between yellow round and green wrinkled. Find the number of plants with yellow and wrinkled seeds.

3. If alveolar ventilation is 4200 mL/min, respiratory frequency is 12 breaths per minute and tidal volume is 500 mL, what is anatomical dead space ventilation?

4. Match column-I (function) with column-II (types of enzymes) and select the correct option.

5. There are several types of enzyme catalysed reactions. In one type of enzyme catalysed reaction, in addition to the catalytic site to which the substrate (X) binds, the enzyme also has a site to which some other substance (Y) can bind. When Y binds to such an enzyme, the enzyme can still bind to the substrate but cannot convert it to the product. Which of the following will occur in such a case?

6. Identify the unknown compounds.

7.

8. If degree of dissociation of pure water at 100°C is 1.8 × 10^–8, then the dissociation constant of water will be : (Density of H₂O = 1 g/cc)

9. Arrange the following in decreasing order of stability.

10.

11. A 0.5 kg block slides from the point A on horizontal track with an initial speed of 3 m/s towards a weightless horizontal spring of length 1 m and force constant 2 Nm^–1. The part AB of the track is frictionless and the part BC has the coefficients of static and kinetic friction as 0.22 and 0.2 respectively. If the distances AB and BD are 2 m and 2.14 m respectively, find the total distance through which the block moves before it comes to rest completely. [Take g = 10 m /s²]

12. In the diagram below (not to scale), each of the loudspeakers emits a continuous sound of the same frequency. A microphone moved along the line PQ detects a series of maximum and minimum sound intensities. Which one of the following actions on its own, will lead to an increase in the distance between the maxima of sound intensity ?

13. A balloon of volume V, contains a gas whose density is to that of the air at the earth’s surface as 1 : 15. If the envelope of the balloon be of weight w but of negligible volume, find the acceleration with which it will begin to ascend.

14. A block of mass m is on an inclined plane of angle Θ. The coefficient of friction between the block and the plane is m and tan Θ > μ. The block is held stationary by applying a force P parallel to the plane. The direction of force pointing up the plane is taken to be positive. As P is varied from P₁ = mg(sin Θ – m cos Θ ) to P₂ = mg(sin Θ + m cos Θ), the frictional force f versus P graph will look like

15. A proton, a deuteron and an a-particle having the same kinetic energy are moving in circular trajectories in a constant magnetic field. If r_p, r_d and r_a denote respectively the radii of the trajectories of these particles, then

16. The value of

17. From the middle point C of an arc AB of a circle, a diameter CD is drawn and also a chord CE which meets the straight line AB in F. If a circle, drawn with centre C to bisect FE, meets BD in G, then EF =

18. In the given figure, a circle with centre B overlaps another circle with centre A and a square. The ratio of areas of P and Q is 5 : 4 and the area of Q is 1/8 the area of circle B. The radii of circle A and circle B are 10 cm and 8 cm respectively. Find the area of the unshaded part of the figure.

19. HCF of A & B is h₁, a & C is h₂ and that of B & C is h₃. Find HCF of h₁, h₂ and h₃

20. ABCD is a parallelogram. A straight line is drawn through A and meets CB, CD produced in E, F. Then CB · CE + CD · CF =

21. Affinity of CO for haemoglobin as compared to O₂ is:

22. Which of the following is a method for birth control?

23. Which of the following is not the function of HCl in stomach?

24. A triple antigen (vaccine) is:

25. The distance between A and B genes is too long on a chromosome, the strength of linkage between them is:

26. Choose the mismatch pair.

27. The glomerular filtrate consists of:

28. In the Hardy-Weinberg equation, the term 2 pq represents the

29. Chargaff’s rules of base pairing states that:

30. Hydrolysis of maltose gives rise to

31. During translation, proteins are synthesised by:

32. Complete failure of the anterior lobe of pituitary causes:

33. In terms of being open or closed, what is the state of the mitral and tricuspid valves (left and right atrioventricular valves, respectively) at the end of the first heart sound?

34. Hemichordates have now been placed with the non-chordates, close to echinoderms, because

35. In the genetic code dictionary, how many codons are used to code for all the 20 essential amino acids?

36. Which of the following would not rearrange to a more stable form?

37. Le-Chatelier principle is not applicable to :

38. In which of the following ways does the hydride ion tend to function ?

39. Which pair of atoms form strongest ionic bond?

40. What happens when Al is added to KOH solution?

41. Fire extinguishers contain H₂SO₄ and which one of the following?

42. The structure of the noble gas compound XeF₄ is

43. What is the weight of oxygen required for the complete combustion of 2.8 kg of ethylene ?

44. Bleaching powder is soluble in cold water giving a milky solution due to –

45. Which solution has pH equal to 10 ?

46. Which of the following sets of quantum numbers is correct for an electron in 4f orbital ?

47. The number of secondary hydrogens in 2, 2-dimethylbutane is :

48. Electronic configuration of an atom is 2, 8, 1. Which of the following elements is similar with it in chemical reactivity?

49. 1, 2-Dibromocyclohexane on dehydrobromination gives :

50. If one assumes linear structure instead of bent structure for water, then which one of the following properties cannot be explained?

51. A diver looking up through the water sees the outside world contained in a circular horizon. The refractive index of water is 4/3 and the diver’s eyes are 15 cm below the surface of water. Then the radius of the circle is:

52. A large number of droplets, each of radius a, coalesce to form a bigger drop of radius b. Assume that the energy released in the process is converted into the kinetic energy of the drop. The velocity of the drop is (S = surface tension and ρ = density of drop)

53. A cyclist is riding with a speed of 27 km/h. As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate of 0.50 m/s every second. What is the magnitude and direction of the net acceleration of the cyclist on the circular turn ?

54. A solid homogeneous sphere of mass M and radius R is moving on a rough horizontal surface, partly rolling and partly sliding. During this kind of motion of the sphere

55. Mark the correct statements. I. Gravitational potential at the centre of curvature of a thin hemispherical shell of radius R and mass M is equal to GM/R II. Gravitation field strength at a point lying on the axis at a distance of ‘a’ on a thin, uniform circular ring of radius R and mass M is equal GMR/(a² +R² )^3/2
III. Newton's law of gravitation for gravitational force between two bodies is applicable only when bodies have sphrical symmetric distribution of mass

56. An ideal monoatomic gas is confined in a horizontal cylinder by a spring loaded piston (as shown in the figure). Initially the gas is at temperature T₁, pressure P₁ and volume V₁ and
the spring is in its relaxed state. The gas is then heated very slowly to temperature T₂, pressure P₂ and volume V₂. During this process the piston moves out by a distance x. Ignoring the friction between the piston and the cylinder, the incorrect statement is

57. An α particle is moving along a circle of radius R with a constant angular velocity ω. Point A lies in the same plane at a distance 2R from the centre. Point A records magnetic field produced by α particle. If the minimum time interval between two successive times at which A records zero magnetic field is t, the angular speed w, in terms of t is

58.

59.

60.

61. A calorimeter (of water equivalent 50 g) contains 250 g of water and 50 g of ice at 0°C. 30 g of water at 80°C is added to it. The final condition of the system will be :

62. Which of the following is/are correct.
I. An object moving the earth under the influence of Earth’s gravitational force is in a state of “free-fall”.
II. The dominant effect causing a slowdown in the rotation of the earth is the gravitational pull of other planets in the solar system.
III. Generally the path of a projectile from the earth is parabolic but it is elliptical for projectiles going to a very large height.
IV. The path of a projectile is independent of the gravitational force of earth.

63.

64. Which of the following graph cannot possibly represent one dimensional motion of a particle?

65. A stone weighs (10.0 ± 0.1) kg in air. The weight of the stone in water is (5.0 ± 0.1) kg. Find the maximum percentage error in the measurement of specific gravity

66.

67. In a small village, there are 87 families, of which 52 families have at most 2 children. In a rural development programme 20 families are to be chosen for assistance, of which at least 18 families must have at most 2 children. In how many ways can the choice be made?

68. Three circles each of radius 1 touch one another externally and they lie between two parallel lines. The minimum possible distance between the lines is.

69. x and y are two non-negative numbers such that 2x + y = 10. The sum of the maximum and minimum values of (x + y) is

70. ABC is a triangle and AD is the median. If the coordinates of A are ( 4, 7, –8) and the coordinates of centroid of the triangle ABC are (1, 1, 1), what are the coordinates of D?

71. When you reverse the digits of the number 13, the number increases by 18. How many other two digit numbers increase by 18 when their digits are reversed?

72. In a Annual general meeting of XYZ company, participants are ‘2a’ number of executives, ‘b’ number of managers, ‘c’ number of senior managers and director of the company. The seating arrangement is made in such a way that all the executives are seated at the either end (‘a’ number of executives on one end), All the managers will be together while Director don’t want to sit next to an executive or a manager, in how many ways they can be arranged in a straight line?

73. Let T be the set of integers {3, 11, 19, 27... 451, 459, 467} and S be a subset of T such that the sum of no two elements of S is 470. The maximum possible number of elements in S is

74. Consider the following situation : –
(i) A set S = { 1, 2, 3, ….., 19, 20} i.e 1st 20 positive integers.
(ii) Another set P is a subset of set “S” and
minimum number of elements in set P is 2.
(iii) HCF of any two elements of set P is not more than 2.
What is the maximum number of elements that set P can have?

75. A number N is divisible by 3 and 4 but not by 9 then which one of the following cannot be an integer?

76.

77.

78.

79. Two numbers A and B are such that their HCF is 72 and when written in prime factorization form A = 2^a3^b7^c while B = 2^d3^e5^f where all a, b, c, d, e and f are distinct natural numbers. Find the minimum value of LCM of two numbers A and B.

80. In an international convention, 5 participants from each of USA, China and Russia were arranged around a circle. In how many ways this arrangement can be made if participants from the same country are always together?