Karnatak University 2009 M.C.A Year - PGCET - Model and Syllabus - Question Paper

d) He did not obtain the address

51. A does a work in 10 days and B does the identical work in 15 days. In how many days they together will do the identical work?
a) five days b) six days c) eight days d) nine days

52. The difference ranging from a number and its three-fifth is 50. What is the number?
a) 75 b) 100 c) 125 d) None of these

53. Which of the subsequent has fractions in ascending order?
a) 1/3, 2/5, 4/7, 3/5, 5/6, 6/7 b) 1/3, 2/5, 3/5, 4/7, 5/6, 6/7
c) 1/3, 2/5, 3/5, 5/6, 4/7, 6/7 d) 2/5, 3/5, 1/3, 4/7, 5/6, 6/7

54. Ram, who is half as efficient as Gopal, will take 24 days to complete a work if he worked alone. If Shyam and Gopal worked together, how long will they take to complete the work?
a) 10 days b) 16 days c) eight days d) 18 days

55. Use all the numbers one to nine and any of the 4 operations, +, -, x, -:-, and parentheses, to make a total of 100. You may not change the order of the numbers, or use them more than once!
a) one + two + three + four + five + six + seven + (8 x 9) b) (1 x (2 + 3) x four x 5) + six - seven - eight + 9
c) ((1 x two + 3) / 4) + five + six + seven + eight + nine d) Both (a) and (b)

56. In an examination, a learner scores five marks for every accurate ans and loses two marks for every wrong ans. If he attempts all 50 ques. and secures 124 marks, the number of ques. he correctly attempts is
a) 34 b) 32 c) 30 d) 40

57. If the wheel of a bicycle makes 100 revolutions in traveling 628m, what is its radius?
a) 100 cm b) 200 cm c) 1000 cm d) 628 cm

58. The current Pope at the Vatican City is:
a) John Paul IV b) Benedict XVI c) Pope Gelasius V d) John Paul II

59. Which is the longest river in the world?
a) Amazon b) Nile c) Mississippi d) Volga 24

60. The weight of an object will be minimum when it is placed at
a) The North Pole b) The South Pole c) The Equator d) The centre of the Earth

PART - B
(Two Marks Questions: 20 X 2)

61. What protects your computer system against voltage spike?
a) Line drive b) Plug c) Surge Suppressor d) Battery backup

62. The binary equivalent of the hexadecimal number B3FA is
a) 1011 0101 1110 1001 b) 10100011 1101 1010 c) 11 00 0010 1111 1010 d) 1011 001111111010

63. Dividing the binary number 10001,00110 by 11001 provide the quotient
a) 10110 b) 00110 c) 10101 d) 10111

64. An 8-bit unsigned binary number can represent integers from
a) -127 to 127 b) 0 to 255 c) 0 to 127 d) -8 to 8

65. The binary equivalent of Gray code 1101 is
a) 1101 b) 1011 c) 1110 d) 1001

66. Ten participants in a contest are ranked by 2 judges as follows:
The calculated rank correlation coefficient p is
a) 60.0 b) 6.0 c) 0.06 d) 0.6

67. If A and B are 2 events with P( A) = 1/4, P(B) = 1/6 and P(A ? B) = 1/8, then P(A/B) is
a) 3/2 b) 4/3 c) 3/4 d) ¼

68. The acute angle ranging from the lines (i) 2x - y + 13 =0 and (ii) 2x - 6y + seven = 0 is
a) 45° b) 0° c) 60° d) 30°

69. Which of the subsequent are not true?
a) -3 == 2(mod 5) b) 43 = -6(mod 7) c) 110 == 5(mod 15) d) 121=10(mod 11)

70. A bag contains eight white and six red balls. What is the probability of drawing 2 balls of the identical color?
a) 28/91 b) 15/91 c) 14/91 d) 43/91

71. The value of the provided determinant is
12 0 0
4 three 0
2 -2 -
a) 0 b) -9 c) -12 d) -10825

72. A lamp post casts a shadow 10m long when the Sun's altitude is at 30°. What is the height of the lamp post?
a) 10 m b) 10v3 m c) 10 v3/3 m d) v3/10 m

73. The greatest angle of a triangle with sides x2 + x + 1, 2x + 1, x2 - one is
a) 60° b) 90° c) 30° d) 120°

74. In a triangle ABC, if a = 2, b = v6, c = v3 - one then A is
a) 45° b) 60° c) 30° d) 75°

75. If the distance ranging from the points A(-I, -1) and B(2, k) is v13, obtain the value of k.
a) -3 b) one c)3 or-l d) -3 or-l

76. The quantity of the parallelepiped with coterminal edges represented by the vectors i + 3j + k, i - j + 3k, i + j + k is
a) three cubic units b) five cubic units c) 11 cubic units d) four cubic units

77. The value of k, when the line y = 4x + k is a tangent to the parabola y2 = 8x is
a) 1/2 b) two c) one d) 2v2

78. A wire oflength 20 cm is bent so as to form an arc of a circle of radius 12 cm. The angle subtended at the center is
a) five radians b) 5/3 radians c) 1/3 radians d) 3/5 radians

79. If A, B, C, D are angles of a cyclic quadrilateral then
Cos A + Cos B + Cos C + Cos D is
a) one b) 0 c) two d) 3

80. Which factor affects the processing speed of a computer?
a) The clock speed b) The data bus c) The cache memory d) All the above

Earning:   Approval pending.