KVPY Exam Online Mock Test Set D

1.

2.

3. The shape of methyl carbanion is similar to that of –

4. The correct order of increasing chemical reactivity is –

5. A buffer solution is prepared by mixing 0.1 M ammonia and 1.0 M ammonium chloride. At 298 K, the pK_b of NH₄OH is 5.0. The pH of the buffer is

6. The bond having the highest bond energy is :

7.

8. The difference in number of water molecules in Gypsum and Plaster of Paris is

9. What is the correct order of electronegativity?

10. A substance on treatment with dil.H2SO4 liberates a colourless gas which turns acidified dichromate solution green. The reaction indicates the presence of

11. The non aromatic compound among the following is :

12. Which of the following is not correct for electronic distribution in the ground state ?

13. When steam reacts with red hot coke to form CO₂ and hydrogen :

14. The combination of plots which does not represent isothermal expansion of an ideal gas is:

15. 100 mL O₂ and H₂ kept at same temperature and pressure. What is true about their number of molecules?

16. A small spherical solid ball is dropped from a great height in a viscous liquid. Its journey in the liquid is best described in the diagram given below by the

17. Two rings each of radius ‘a’ are coaxial and the distance between their centres is a. The masses of the rings are M1 and M2. The work done in transporting a particle of a small mass m from centre C₁ to C₂ is :

18. Passengers in the jet transport A flying east at a speed of 800 kmh^–1 observe a second jet plane B that passes under the transport in horizontal flight. Although the nose of B is pointed in the 45° north east direction, plane B appears to the passengers in A to be moving away from the transport at the 60° angle as shown. The true velocity of B is

19. A student measured the diameter of a wire using a screw gauge with the least count 0.001 cm and listed the measurements. The measured value should be recorded as

20. If x, y and z in figure are identical lamps which of the following change in brightness will occur, when switch S is closed?

21. Material A has critical angle i_A, and material B has critical angle i_B (i_B > i_A), then which of th following is true (i) light can be totally internally reflected when it passes from B to A
(ii) light can be totally internally reflected when it passes from A to B
(iii) critical angle for total internal reflection is i_B – i_A
(iv) critical angle between A and B is sin^–1 (sin i_A /sin i_B)

22. A thick-walled hollow sphere has outside radius R₀. It rolls down an incline without slipping and its speed at the bottom is V₀. Now the incline is waxed, so that it is practically frictionless and the sphere is observed to slide down (without any rolling). Its speed at the bottom is observed to be 5V₀/4. The radius of gyration of the hollow sphere about an axis through its centre is

23. A bob of mass m attached to an inextensible string of length l is suspended from a vertical support. The bob rotates in a horizontal circle with an angular speed ω rad/s about the vertical. About the point of suspension:

24. A potential difference applied to the ends of a wire made up of an alloy drives a current through it such that J = α+ βr, where r is the distance of the point from the axis. If R be the radius of the wire, then find the total current through any cross section of the wire.

25. Consider the figure shown. Reflected ray AB and refracted ray AC are perpendicular. Refractive index of the material of the sphere is

26. In the Rutherford experiment, α-particles are scattered from a nucleus as shown. Out of the four paths, which path is not possible?

27. Two communicating vessels contain mercury. The diameter of one vessel is n times larger than the diameter of the other. A column of water of height h is poured into the left vessel. The mercury level will rise in the right-hand vessel (s = relative density of mercury and ρ = density of water) by

28. A charged ball B hangs from a silk thread S, which makes an angle θ with a large charged conducting sheet P, as shown in the figure. The surface charge density s of the sheet is proportional to

29. A research satellite of mass 200 kg circles the earth in an orbit of average radius 3R/2 where R is the radius of the earth. Assuming the gravitational pull on a mass of 1 kg on the earth’s surface to be 10 N, the pull on the satellite will be

30. A block of mass M is tied to one end on a massless rope. The other end of the rope is in the hands of a man of mass 2 M as shown in figure. The block and the man are resting on a rough wedge of mass M as shown in figure. The whole system is resting of a smooth horizontal surface. The man pulls the rope. Pulley is massless and frictionless. What is the displacement of the wedge. When the block meets the pulley. (Man does not leave his position during the pull).

31. If the digits of a three digit number are reserved, then the number so obtained is less than the original number by 297. If the sum of the digits of the number is 8 and its hundred’s digit has the largest possible value, then the ten’s digit of the number is

32. Seven people leave their bags outside temple and while returning after worshiping the deity, picked one bag each at random. In how many ways at least one and at most three of them get their correct bags?

33.

34. A man sold a chair and a table together for Rs. 1520 thereby making a profit of 25% on the chair and 10% on table. By selling them together for Rs. 1535 he would have made a profit of 10% on the chair and 25% on the table. Find the cost price of each.

35. The mid-points of the sides of a triangle are (5, 7, 11), (0, 8, 5) and (2, 3, – 1), then the vertices are

36. In a 4-digit number, the sum of the first two digits is equal to that of the last two digits. The sum of the first and the last digit is equal to the third digit. Finally, the sum of the second and fourth digits is twice the sum of the other two digits. What is the third digit of the number?

37. In an annual general meeting of a company 25 executives, 2 managers and a director are sitting around a circular table such that director has no manager next to him. In how many ways this arrangement can be made?

38. If u, v, w and m are natural numbers such that u^m + v^m = w^m, then one of the following is true.

39. If HCF of three numbers is 14 such that the numbers are in the form of 14x, 14y and 14z, and their LCM is L then which of the following best
describes L?

40. How many two digit numbers ‘ab’ exist such that ab/a+b has quotient 6 & remainder 7.

41. If ABCD is rhombus, then find the correct statement:

42. ABC is a triangle. BF, CG are any two lines drawn from the extremities of the base BC to meet AC and AB in F and G respectively and intersect in H. Then,

43.

44. Find the smallest number that is divisible by all the numbers from 1 to 15 except one number.

45. 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 no two participants from USA are together?

46.

47. Match the items given in column-I with those in column-II and select the correct option given below.

48. The following structures are ‘analogous’ from the evolutionary point of view except:

49. Because of the relatively high altitude of Antonito, Colorado, the town has a normal barometric pressure of about 600 mm Hg rather than 760 mm Hg as at sea level. The partial pressure of oxygen in Antonito’s air is approximately

50. A student while studying the anatomy of leaves of four specimens (A-D), observed the following characters:
A. Reticulate venation and no bundle sheath
B. Parallel venation and bundle sheath containing chloroplasts
C. Reticulate venation and bundle sheath containing chloroplasts
D. Parallel venation and bundle sheath without chloroplasts
Identify the type of plants.

51. Analysis of a protein sequence from a recently mutated gene showed that the newly expressed protein had a completely different sequence from the wild-type protein. This was due to a:

52. The stability of 2, 3 - dimethyl but - 2- ene is more than 2- butene. This can be explained in terms of

53. Bond order normally gives idea of stability of a molecular species. All the molecules viz. H₂, Li₂ and B₂ have the same bond order yet they are not equally stable. Their stability order is

54. A metal oxide has the formula Z₂O₃. It can be reduced by hydrogen to give free metal and water. 0.1596 g of the metal oxide requires 6 mg of hydrogen for complete reduction. The atomic weight of the metal is

55. Then the enthalpy of formation of H₂SO₄ at 298 K is

56. Which of the following reagents convert propene to 1-propanol?

57. Students I, II and III perform an experiment for measuring the acceleration due to gravity (g) using a simple pendulum. They use different lengths of the pendulum and / or record time for different number of oscillations. The observations are shown in the table. Least count for length = 0.1 cm least count for time = 0.1 s

58.

59. A pendulum made of a uniform wire of cross sectional area A has time period T. When an additional mass M is added to its bob, the time period changes to T_M. If the Young’s modulus of the material of the wire is Y then 1/Y is equal to:
(g = gravitational acceleration)

60. An upright U-tube manometer with its limbs 0.6m high and spaced 0.3m apart contains a liquid to a height of 0.4m in each limb. If the U-tube is rotated at 10 radians/second about a vertical axis at 0.1m from one limb. Choose the correct statement/s I. The value of z₁ = 0.324
II. The value of z₂ = 0.477
III. The value of z_min = 0.273
IV. The value of z₁ + z₂ = 0.8

61. Figure shows a smooth spherical ball of mass m striking two identical equilateral triangular wedges, each of mass m. The velocity of ball at the instant of impact is v0. If e is the coefficient of restitution, then velocity of either wedge after impact is

62.

63.

64. A semi-circle of diameter 1 unit sits at the top of a semi-circle of diameter 2 units. The shaded region inside the smaller semi-circle but outside the larger semi-circle is called a lune. The area of the lune is

65. Let us define a set S such that any element of S can be expressed as sum of a two digit number and number formed by reversing that 2 digit number. What is the HCF of all the elements of S ?

66. PQRS is a rectangle in which PQ = 2 PS, T and U are mid points of PS and PQ respectively. QT and US intersect at V. The area of QRSV divided by area of PQT is-

67. A human bone marrow cell, in prophase of mitosis, contains 46 chromosomes. How many chromatids does it contain altogether?

68. In terms of DNA and RNA structure, what is a nucleotide?

69. Hormones that are secreted by one endocrine gland and control the activities of another endocrine glands are called:

70. PS I occurs in:

71. Select the correct order of geological time scale of earth.

72. “A” cells start division and enter in “B” stage of meiotic division and get temporarily “C” at this stage, called “D”. Identify A, B, C and D.

73. The most abundant structural polysaccharide is cellulose and the second largest structural polysaccharide is:

74. Baculoviruses are excellent candidates for

75. Match the column-I with column-II and choose the correct option.

76. From the experiments carried out by Avery, MacLeod and McCarty by using various enzymes, which of the following results prominently proved that DNA is the transforming material?

77. Which one of the following is common to glycolysis as well as Krebs cycle in eukaryotes?

78. Gram-negative cells stain pink because

79. What pathway is taken by water and solutes when they travel through a nephron?

80. Cholesterol is required for the synthesis of:

81. Smoking destroys the cilia in the respiratory passageways. This