CSIT Entrance 2073

Mathematics

1. Which one is not a logical statement

2. If |x - 2| = 5, then x is in

3. A - B =

4. If f(x) = 2x = 3 then f^-1(x)

5. The period of the function f(x) = sin(45 + 5) is

6. The fourth, seventh and tenth terms of G.P are 1,m,n respectively then

7. The nth term of the series : 1.3 + 3.5 + 5.7 + ... is

8. The value of sin(cos^-1x) is

9. If cosec x²x - 2 = 0, then x is

10. If $\left[\begin{array}{ccc}k& 1& 0\\ 2& 0& k\\ 0& 2& -1\end{array}\right]$ = 0, then k =

11. The value of x for which A = $\left[\begin{array}{cc}6& x-3\\ 3& x\end{array}\right]$ has no inverse is

12. If the system of equation has zero solutions only then the solution is

13. (1 + i)⁶ + (1 - i)⁶ =

14. $(\frac{2i}{1+i}{)}^2$

15. If one root of 5x² + 2x - k = 0 is the reciprocal of the other than k =

16. The equation x² - 2xy + y² + 3x - 2 = 0 represents:

17. The area of the triangle with vertices (1,-1),(-1,1) and (-1,-1) is

18. ${\displaystyle \underset{x\to \infty }{lim}\frac{1+2+...+n}{n^2}=}$

19. ${\displaystyle \underset{x\to \infty }{lim}\frac{5x^2+4xtanx}{x^2}=}$ =

20. If y = $\sqrt{x+\sqrt{x+\sqrt{x+.....}}}$ then $\frac{dy}{dx}$ =

21. if $y=e^{\sqrt{a{x}^2+b}}$ then $\frac{dy}{dx}=2$

22. $\int \frac{dx}{1-x^2}=$

23. ${\int }_1^2\frac{sin(lnt)}{1}dt=$=

24. The critical points for f(x) = x³ - 3x are:

25. The area bounded by the a-axis and the curve y = x³ and ordinates of x - 2 and x - 4 is

English

26. Government has a lot to ......... road accidents.

27. He inherited a fortune and ........ it in a year

28. His father blamed him but his mother ....... and said he had acted sensibly.

29. Do you ........ me ...... a fool?

30. The captain ........, not realizing that the icebergs were so close.

31. After a month's treatment at a hospital my brother is ........

Direction: Select the word/phrases which is closes to the opposite or similar in meaning of the word.

32. Squeamish

33. Bramble (Similar meaning)

34. Congruous (similar meaning)

35. Savior (opposite meaning)

36. Scabrous (opposite meaning)

37. un-availing (opposite meaning)

Direction: Select the proper prepositions and conjunctions to fill in the blanks in the following questions:

38. He died .......... cancer but she died ...... a train accident

39. Divide forty .......... Eight but divide these apples ....... the two children

40. It is a lovely place to live .......

41. Divide forty ....... eight but divide these apples ....... the two children.

42. It is lovely place to live........

43. He is angry ...... and indiffrent ........ me

44. You alone can relieve me .......... This anxiety

45. He took the food play with your watch

Direction : Each of the following idioms an phrases is followed by four explations. Mark the one that best explained its meaning.

46. On the bottle

47. On the rocks

48. Call it a night

49. Bide one's time

50. Over the hill

Physics

51. In the gas equation (p + a /v ²)(v - b) = RT, the dimensions of 'a' are

52. The number of significant figures in 1400 are

53. A man walks 8 m forwards East and 6m towards North. The magnitude of displacement is

54. If initial velocity of a projectile is doubled, the maximum range will by

55. Which of the following friction is maximum?

56. If the speed of rotation of earth increases, the weight of the body earth’s surface becomes

57. A weightless rubber balloon has 100g of water in it. Its weight in water will be

58. The temperature of a substance increase by 270°C. This increase is equal to

59. Which of the following gases possess maximum rans speed at a given temperature?

60. The black body emits

61. The field of view is maximum for.

62. The sky seen from earth appears blue because of

63. A person cannot see objects clearly beyond 50 cm. The power of the lens to correct the vision is

64. An isolated conducting sphere is given a positive charge. It's mass

65. Three capacitors each of capacitance 3pF are connected in series. The net capacitance is

66. Kirchoff's voltage law is based on the principle of conservation of.

67. A charged particle is in a strong magnetic field. Then its kinetic energy

68. The self-inductance of a straight wire is

69. The photoelectric is based on the law of conservation of.

70. When a radioactive element emits a β-particle the mass number of the atom

71. On increasing the reserve bias to a large value in a p-n junction diode, the current

72. The equation of sound wave is y = 0.0015 sin(62.4x + 316t) the wave length of sound wave is

73. A wave is reflected from a rigid support. The change of phase on reflection will be

74. A car is ar rest playing "HORN". If it start moving towards you, the pitch heard would be

75. In which region of electromagnetic spectrum does the layman series of atom Lie?

Chemistry

76. The oxidation of Fe in K₃[Fe(CN)₆] is

77. How many oxygen atoms are present in 8.0 gm of oxygen?

78. "Atomic Orbitals are filled up in the ground state inorder of increasing energy level". This statement is called

79. The spectral region for the Lyman series of hydrogen spectrum lies in the

80. The crystal structure of sodium chloride is

81. Which of the following halogens has higest electrons affinity

82. Ammonia is manufacture by

83. An example of acidic oxide is

84. The shape of BeF₂ molecule on the bases of VSEPR theory is:

85. Which of the following compound is not a primary standard substance?

86. An example of Lewis base is

87. The unit of equivalent conductivity is

88. 1 calorie is equals to

89. Gibb's Helmholtz equation is

90. The unit of rate constant for third order reaction is

91. The reaction of benzene with alkyl chloride in presence of anhydrous AlCl₃

92. Primary, secondary and tertiary alcohols are distinguished by

93. Williamson's synthesis is used for the preparation of

94. The catalyst used in Rosenmund's reaction is

95. The reaction of Phenol with concentrated nitric acid and concentrated Sulphuric acid gives:

96. When benzamide is treated with aqueous Br₂ in presence of aqueous alkali, the product formed is:

97. Amino acid contains

98. Martius yellow is an example of

99. The molecular formula of green vitrol is

100. Which is the most important ore of Zinc