CALICUT REGIONAL ENGINEERING COLLEGE

MCA ENTRANCE EXAMINATION, 1999

QUESTIONS

1. The number of divisors of 600 is

(A) 30 (B) 24 (C) 20 (D) 28

2. What is Hot Java

(A) a protocol (B) a compiler

(C) a version of Java (D) a browser

3. If by doubling the radius of a sphere, the ratio of the surface area

to the volume changes by _ times.

(A) 1 (B) 1/2 (C) 2 (D) 4

*4. The expression |~|_9.1_| / 2.1~| – |_|~8.5~| / 3.5_| evaluates to

(A) 3 (B) 2.1 (C) 2 (D) none of the above

5. The least positive integer ( mode 11) to which 282 is congruent

(A) 10 (B) 2 (C) 7 (D) 3

6. For which of the following applications is real time processing not

essential ?

(A) Guided missile control (B) intensive care monitoring

(C) traffic control (D) patient record

7. Let f(x) = x(x-1) + 1, 0 B is given by

(A) n! (B) n^m (C) m^n (D) nm

10. What is the name of the technique in which the operating system of a

computer executes several programs concurrently by switching back and

forth between them ?

(A) Partitioning (B) Multitasking (C) Windowing (D) Paging

11. Nine hundred n-digit numbers are to be formed using only the three digits

2, 5 and 7. The smallest value of n for which this is possible is

(A) 6 (B) 7 (C) 8 (D) 9

12. The binary representation of the hexadecimal number 3B7F is

(A) 0110100111101101 (B) 0011101101111111

(C) 01110111111111 (D) 001110011111111

13. If A is an n * n upper triangular matrix with diagonal entries 1, 2 … n,

then the sum of the eigen values of A is

(A) n(n+1)/2 (B) n (C) 2n (D) n!

14. Which of the following is an example of a problem-oriented language ?

(A) BASIC (B) PL/I (C) FORTRAN (D) none of the above

15. Which of the following is not a perfect number ?

(A) 28 (B) 496 (C) 1024 (D) 8128

16. For electronic mail service, TCP/IP provides

(A) SMTP (B) Telnet (C) HTTP (D) FTP

17. The highest power of 3 in 100! is

(A) 48 (B) 64 (C) 40 (D) 28

18. Data encryption techniques are particularly useful for

(A) reducing storage space requirements

(B) improving dat integrity

(C) protecting data in data communication systems

(D) all of the above

19. What set-theoretic expression is equal to A – ( B ^ C ) ?

( ^ = Intersection )

(A) ( A – B ) U ( A – C ) (B) ( A – B ) ^ ( A – C )

(C) ( A ^ B ) – ( A ^ C ) (D) ( A U B ) – ( A U C )

20. Which of the following might prevent a successful program being modified

in the future ?

(A) logic errors (B) semantic errors

(C) lack of program documentation (D) syntax errors

21. “Mathematics is the queen of sciences and number theory is the queen of

mathematics”. The above statement is due to

(A) George Boole (B) Pierre de Fermat

(C) Karl F. Gauss (D) Giuseppe Peano

22. The compiler produce diagnostic messages identifying

(A) syntactic errors (B) logic errors

(C) both syntactic and logic errors (D) none of the above

23. Let x > y > z. Then

(A) ( x + z ) / ( y + z ) 1

(C) y + z > x (D) none of the above

24. A computer with a 32-bit word size uses 2’s complement to represent

numbers. The range of integers that can be represented by this

computer is

(A) -2^32 to 2^32-1 (B) -2^31 to 2^32

(C) -2^31 to 2^31-1 (D) -2^32 to 2^31

25. Sum of the internal angles of a 10 polygon is

(A) 8 pi (B) 9 pi (C) 10 pi (D) 5 pi

26. The correct hierarchical relationships among context-free, right-linear,

and context-sensitive languages is given by ( C = subset )

(A) context-free C context-sensitive C right-linear

(B) context-sensitive C context-free C right-linear

(C) context-sensitive C right-linear C context-free

(D) right-linear C context-free C context-sensitive

27. The number of circles passing through three points in a plane if they

are not collinear is

(A) 1 (B) 3 (C) infinitely many (D) none of the above

28. To see whether a remote computer is responding, which should we use ?

(A) cat (B) who (C) ping (D) pwd

29. If y = x^y, then dy/dx is equal to

(A) y^2/x + y*log x (B) y^2 / ( 1-log y)x

(C) y x^(y-1) (D) none of the above

30. Which of the following is not output device of a computer ?

(A) printer (B) keyword (C) VDU (D) CRT screen

31. When a language has the capability to produce new data types, it is

said to be

(A) reprehensible (B) encapsulated

(B) overloaded (D) extensible

32. Two oranges, three bananas and four apples cost Rs.30/-, and four oranges,

three bananas and two apples also cost Rs.30/-. Then how much two oranges,

two bananas and two apples

(A) Rs.10/- (B) Rs.20/- (C) Rs.30/- (D) Rs.40/-

33. If the third term of a GP is x, then the product of the first 5 terms is

(A) x^5 (B) 5x (C) x^4 (D) none of the above

34. Four 256 * 8 PROM chips are used to produce a total capacity of 1024 * 8.

What is the address bus width required ?

(A) 4 (B) 8 (C) 10 (D) 16

35. If ( x + 1/x)^2 = 3, then x^3 + 1/x^3 =

(A) 3 * sqrt(2) (B) 0 (C) 4^3 (D) none of the above

36. How many boolean functions of 3 variables are there ?

(A) 16 (B) 64 (C) 256 (D) 512

37. If x satisfies e^(-x) = -1 and x is real, then

(A) x > 0 (B) x y

(C) x = y (D) Need to know the initial amount of petrol and diesel

67. A cube is coloured in red except one face. Then the cube is cut into 27

small cubes of equal size. Then the number of cubes without red colour on

any of its faces is

(A) 1 (B) 2 (C) 3 (D) none of the above

68. The compressibility factor of an ideal gas is

(A) 1.5 (B) 1.0 (C) 2.0 (D) Infintiy

69. Complete the title of the play “….. of Windsor”( by William Shakespeare)

(A) Nights (B) Castle (C) The Merry Wives (D) Dreams

70. Consider the four vertices and the meeting point of the diagonals of a

square. What is the maximum number of triangles that can be formed using

these points.

(A) 8 (B) 6 (C) 4 (D) none of the above

71. World’s deepest lake is

(A) Caspian Sea (B) Dead Sea (C) Lake Superior (D) Lake Baikal

72. p-chloraniline and anilinium hydrochloride can be distinguished by

(A) AgN(O)3 (B) Sandmeyer reaction

(C) NaHC(O)3 (D) carbylamine test

73. What is the currency of Brazil ?

(A) Peseta (B) Escudos (C) Real (D) Shilling

74. Find the Nobel laurete who bagged Nobel Prize in a discipline different

from others

(A) Emest Rutherford (B) William Shockley

(C) Ervin Schrodinger (D) Niels Bohr

75. The green coloured powder blown in the air in ammonium dichromate based

fire works is

(A) Cr(O)3 (B) (Cr)2(O)3 (C) Cr (D) CrO(O)2

76. Who discovered planet Pluto

(A) Tombaugh (B) George Gammo

(C) Reiph Athfer (D) Galileo

77. In which city, Indian Standard Time (IST) is recorded ?

(A) New Delhi (B) Nagpur (C) Calcutta (D) Allahabad

78. The work function of a substance is 4 eV. The longest wavelength of light

that can cause photoelectric emission from this substance is approximately

(A) 310nm (B) 540nm (C) 400nm (D) 220nm

79. The headquarters of Amnesty International is at

(A) New York (B) Montreal (C) London (D) Geneva

80. A cylindrical can filled with water to a height of 40 cm has on its side

two small holes of equal area, one at a height of 10 cm and the other at

a height of 30 cm. At the initial time, what is the ratio of the mass of

water flowing per second through the lower hole to that flowing through

the upper hole ?

(A) sqrt(3) (B) sqrt(2) (C) 1/3 (D) none of the above

81. The list of The Wonders of the World was revised in 1931. Which of the

following is not included in this revised list of The Seven Wonders of

the Modern Period ?

(A) Eiffel Tower (B) Taj Mahal

(C) Great Wall of China (D) Hagea Sophia

82. How much energy (in joules) would be released if a meteor of 1 kg of

antimatter were to hit the earth ?

(A) 3 x 10^8 (B) 3 x 10^16 (C) 9 x 10^64 (D) 1.8 x 10^17

83. With what sports the “Irani Cup” associated

(A) Hockey (B) Lawn Tennis (C) Foot Ball (D) Cricket

84. A person aims a gun at a bird on the ground from a horizontal distance

of 100m. If the gun can impart a velocity of 500 m/s to the bullet, at

what height above the ground must he aim his gun to hit the bird ?

(A) 10 cm (B) 20 cm (C) 50 cm (D) 100 cm

85. The Latin phrase “Anno Domini” stands for

(A) After Christ (B) In the year of our Lord

(C) After Domini (D) Roman Calendar

86. The intensity of radiation emitted by the Sun has its maximum value at

a wavelength of 510 nm and that emitted by the North Star has the maximum

value at 350 nm. If these stars behave like black bodies, then the ratio

of the surface temperature of the Sun and North Star is

(A) 1.46 (B) 0.69 (C) 1.21 (D) 0.83

87. Which of the following will react with water ?

(A) CH(Cl)3 (B) (Cl)3CCHO (C) C(Cl)4 (D) ClC(H)2C(H)2Cl

88. A blackbody is at a temperature of 2880 K. The energy of radiation emitted

by this object with wavelength between 499 nm and 500 nm is U1, between

999 nm and 1000 nm is U2 and between 1499 nm and 1500 nm is U3. The Wien

constant b = 2.88 x 10^6 nmK. Then

(A) U1 = 0 (B) U3 = 0 (C) U1 > U2 (D) U2 > U1

89. Of the following cycloalkanes, which one is expected to have the largest

negative value of enthalpy of combustion ?

(A) cyclohexane (B) cyclobutane

(C) cyclopropane (D) cyclopentane

90. The two rails of a railway track are insulated from each other and from

ground and are connected by a millivoltmeter. What is the reading when

a train travels 180 km/hr down the track, assuming that the vertical

component of the earth’s field is 0.2 gauss and that the tracks are

separated by one metre ?

(A) 3.6 * 10^(-3) V (B) 10^(-3) V

(C) 9 * 10^(-3) V (D) none of the above

91. Of the following elements, which has the minimum value of first

ionization enthalpy ?

(A) B (B) Be (C) C (D) N

92. A travelling wave in a stretched string is described by the equation

y = A sin( kx – wt). The maximum particle velocity is

(A) x/t (B) w/x (C) Aw (D) none of the above

93. Which is the oldest Veda ?

(A) Yajurveda (B) Rigveda (C) Samaveda (D) Atharvaveda

94. What would be the approximate length of one day if the earth spun so fast

that bodies floated at the equator( the radius of the earth is 6.4*10^6 m)

(A) 3 hours (B) 2 hours (C) 1.5 hours (D) 0.5 hours

95. The Xe atom in Xe(F)2 is

(A) sp hybridised (B) sp^2 hybridised

(C) sp^2d hybridised (D) sp^3 hybridised

96. Which city is known as “The City of Golden Gate” ?

(A) Johannesburg (B) Los Angeles (C) Sao Paulo (D) San Francisco

97. Which of the following is an organometallic compound?

(A) lithium methoxide (B) lithium acetate

(C) lithium dimethylamide (D) methyl lithium

98. An artificial satellite moving in a circular orbit around earth has a

total ( kinetic + potential ) energy Eo. Its potential energy is

(A) 2Eo (B) 1.5Eo (C) Eo (D) -Eo

99. Of the following molecules, which one has minimum vibrational degree

of freedom ?

(A) HCN (B) (N)2O (C) N(O)2 (D) C(O)2

100. Pyrophosphoric acid is a

(A) monobasic acid (B) dibasic acid

(C) tribasic acid (D) tetrabasic acid

********* ANSWERS ***********

1. B 21. C 41. C 61. C 81. C

2. D 22. A 42. B 62. B 82. D

3. B 23. D 43. D 63. B 83. D

4. A 24. C 44. B 64. A 84. B

5. C 25. A 45. C 65. A 85. B

6. D 26. D 46. B 66. C 86. B

7. B 27. A 47. D 67. B 87. B

8. A 28. C 48. B 68. B 88. D

9. B 29. B 49. B 69. C 89. A

10. B 30. B 50. B 70. A 90. B

11. B 31. D 51. A 71. D 91. A

12. B 32. B 52. D 72. A 92. C

13. A 33. A 53. A 73. C 93. A

14. D 34. C 54. D 74. A 94. C

15. C 35. B 55. D 75. B 95. D

16. A 36. C 56. C 76. A 96. D

17. A 37. D 57. A 77. D 97. D

18. C 38. B 58. A 78. A 98. A

19. A 39. A 59. C 79. C 99. C

20. C 40. A 60. C 80. A 100. D

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