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# UGC NET DECEMBER 2012 Solved Computre Science PAPER III

## UGC NET DECEMBER 2012 Solved Computre Science PAPER III

**UGC NET Computer Science Solved Paper -III Dec2012**

Questions along with Answers Below - Explanations are always

welcome

1. Eco System is a Frame work- for

(A) Building a Computer System

(B) Building Internet Market

(C) Building Offline Market

(D) Building Market

2. The efficiency (E) and speed up (sp) for

Multiprocessor with p processors satisfies :

(A) E ≤ p and sp ≤ p

(B) E ≤ 1 and sp ≤ p

(C) E ≤ p and sp ≤ l

(D) E ≤ 1 and sp ≤ l

3. Match the following :

List-I

List-II

a. Critical region 1. Hoares Monitor

b. Wait/signal 2.

Mutual exclusion

c. Working set 3. Principal of

locality

d. Dead lock 4.

Circular wait

Codes :

a b

c d

(A) 2

1 3 4

(B) 1

2 4 3

(C) 2

3 1 4

(D) 1

3 2 4

4. The technique of temporarily delaying outgoing

acknowledgements so that they can be hooked onto the next outgoing data frame

is known as

(A) Bit stuffing

(B) Piggy backing

(C) Pipelining

(D) Broadcasting

5. ______ is a process of

extracting previously non known valid and actionable information from large

data to make crucial business and strategic decisions.

(A) Data Management

(B) Data base

(C) Data Mining

(D) Meta Data

6. The aspect ratio of an image is defined as

(A) The ratio of width to its height

measured in unit length.

(B) The ratio of height to width measured in number of

pixels.

(C) The ratio of depth to width measured in unit length.

(D) The ratio of width to depth measured in number of pixels.

7. Which of the following features will

characterize an OS as multi-programmed OS ?

(a) More than one program may be loaded into main

memory at the same time.

(b) If a program waits for certain event another

program is immediately scheduled.

(c) If the execution of a program terminates, another

program is immediately scheduled.

(A) (a)only

(B) (a) and (b) only

(C) (a) and (c) only

(D) (a), (b) and (c) only

8. Using RSA algorithm, what is the value of

cipher text C, if the plain text

M = 5 and p = 3, q = 11 & d = 7

?

(A) 33

(B) 5

(C) 25

(D) 26

9. You are given an OR problem and a XOR problem

to solve. Then, which one of the following

statements is true?

(A) Both OR and XOR problems can be

solved using single layer perception.

(B) OR problem can be solved using single layer

perception and XOR problem can be solved using self

organizing maps.

(C) OR problem can be solved using radial basis function and

XOR problem can be solved using single

layer perception.

(D) OR problem can be solved using single layer perception

and XOR problem can be solved using radial

basis function.

10. Match the following :

List -

I

List - II

a. Application layer 1. TCP

b. Transport layer

2. HDLC

c. Network layer

3. HTTP

d. Data link layer

4. BGP

Codes :

a b

c d

(A) 2 1 4 3

(B) 3 4 1 2

(C) 3 1

4 2

(D) 2 4 1 3

11. The time complexities of some standard graph algorithms are

given. Match each algorithm with its time complexity ? (n and m are no. of

nodes and edges respectively)

a. Bellman Ford algorithm 1. O(m log

n)

b. Kruskals

algorithm

2. O(n3)

c. Floyd Warshall algorithm 3. O(mn)

d. Topological sorting

4. O(n + m)

Codes :

a

b c d

(A) 3

1 2 4

(B) 2

4 3 1

(C) 3

4 1

2

(D) 2

1 3 4

12. Let V

_{1 }= 2I - J + K and V

_{2 }= I + J

- K, then the angle between V

_{1 }& V

_{2 }and a vector

perpendicular to both V

_{1 }& V

_{2 }shall be

(A) 90°and(-2I + J-3K)

(B) 60°and(2I + J + 3K)

(C) 90°and(2I + J-3K)

(D) 90°and(-2I-J + 3K)

13. Consider a fuzzy set A defined on the interval X = [0,

10] of integers by the membership Junction

µ

_{A}(x) = x / x

+ 2 Then the α cut corresponding to α = 0.5 will be

(A) {0,1,2,3,4,5,6,7,8,9,10}

(B) {1,2,3,4,5,6,7,8,9,10}

(C) {2,3,4,5,6,7,8,9,10}

(D) { }

14. Let T(n) be the function defined by T(n) = 1 and T(n) =

2T (n/2) + √n, which of

the following is TRUE ? .

(A) T(n) = O(√n)

(B) T(n) = O(log

_{2}

^{n})

(C) T(n) = O(n)

(D) T(n) = O(n

^{2})

15. In classful addressing, an IP address 123.23.156.4

belongs to______class format.

(A) A

(B) B

(C) C

(D) D

16. The Mandelbrot set used for the construction of beautiful

images is based on the following transformation

: x

n+1 = x2

n + Z Here,

(A) Both x & z are real numbers.

(B) Both x & z are complex numbers.

(C) x is real & z is complex.

(D) x is complex & z is real.

17. Which of the following permutations can be obtained in

the output using a stack of size 3 elements assuming that input, sequence is

1,2, 3,4, 5 ?

(A) 3,2,1,5,4

(B) 5,4,3,2,1

(C) 3,4,5,2,1

(D) 3,4,5,1,2

18. In a Linear Programming Problem, suppose there are

3 basic variables and 2 non-basic variables, then the possible number of basic

solutions are

(A) 6

(B) 8

(C) 10

(D) 12

19. Identify the following activation function :

Φ(V) = Z + 1 / 1 + exp(-X * V + Y)

Z, X, Y are parameters

(A) Step function

(B) Ramp function

(C) Sigmoid function

(D) Gaussian function

20. The no. of ways to distribute n distinguishable objects into k

distinguishable boxes, so that ni objects

are placed into box i, i = 1, 2, .... k equals which of the following ?

(A) n! / n

_{1}!+ n

_{2}! + ..... + n

_{k}!

(B) n

_{1}!+ n

_{2}! + ..... + n

_{k}! / n

_{1}!

n

_{2}! n

_{3}! ..... n

_{k}!

(C) n! / n

_{1}! n

_{2}! n

_{3}! ..... n

_{k}!

(D) n

_{1}! n

_{2}! ....n

_{k}! / n

_{1}! - n

_{2}!

- n

_{3}! ..... - n

_{k}!

21. How many solutions do the following equation have

x

_{1}+ x

_{2}

+ x

_{3}= 11 where x

_{1}≥ 1, x

_{2}≥ 2, x

_{3}≥ 3

(A) C(7,11)

(B)

C(11,3)

(C) C(14, 11)

(D) C(7,5)

22. Which provides an interface to the TCP/IP suit protocols

in Windows95 and Windows NT ?

(A) FTP Active-X Control

(B) TCP/IP Active-X Control

(C) Calinsock Active-X Control

(D) HTML Active-X Control

23. What are the final values of Q1 and Q0 after 4 clock cycles,

if initial values are 00 in the sequential circuit shown below :

(A)

11

(B) 10

(Q 01

(D) 00

24. If dual has an unbounded solution, then its corresponding

primal has

(A) no feasible solution

(B) unbounded solution

(C) feasible solution

(D) none of these

25. The number of distinct bracelets of five beads made up of

red, blue, and green beads (two bracelets are indistinguishable if the rotation

of one yield another) is,

(A) 243

(B) 81

(C) 51

(D) 47

26. Which are the classifications of data used in Mobile

Applications ?

(A) Private data, User data, Shared data.

(B) Public data, User data, Virtual data.

(C) Private data, Public data, Shared data.

(D) Public data, Virtual data, User data.

27. In an enhancement of a CPU design, the speed of a floating

point unit has been increased by 20% and the speed of a fixed point unit has

been increased by 10%. What is the overall speed achieved if the ratio of the

number of floating point operations to the number of fixed point operations is

2 : 3 and the floating point operation used to take twice the time taken by the

fixed point operation in original design ?

(A)

1.62

(B) 1.55

(C) 1.85

(D) 1.285

28. The initial basic feasible solution to the following

transportation problem using Vogel's approximation method is

D1 | [center] D2 | D3 | D4 | Supply | |

S1 | 1 | 2 | 1 | 4 | 30 |

S2 | 3 | 3 | 2 | 1 | 50 |

S3 | 4 | 2 | 5 | 9 | 20 |

Demand | 20 | 40 | 30 | 10 |

(A) X

_{11 }= 20, X

_{13}= 10, X

_{21 }=

20, X

_{23 }= 20, X

_{24}= 10, X

_{32 }= 10, Total

Cost = 180

(B) X

_{11 }= 20, X

_{12}= 20, X

_{13 }=

10, X

_{22 }= 20, X

_{23}= 20, X

_{24 }= 10, Total

Cost = 180

(C) X

_{11 }= 20, X

_{13}= 10, X

_{22 }=

20,X

_{23 }= 20, X

_{24}=

10, X

_{32 }= 10,

Total Cost = 180

(D) None of the above

29. 58 lamps are to be connected to a single electric outlet

by using an extension board each of which has four outlets. The number of

extension boards needed to connect ail the light is

(A) 29

(B) 28

(C) 20

(D) 19

30. Match the following with respect to the Mobile Computing

Architecture.

a. Downlink

control

1. 100Mbps

b. Radio communication data rate

2. Residency latency (RL)

c. The average duration of user's stay in

cell 3. Sending data from a BS to MD

d. FDDI bandwidth

4. 2-Mbps

Codes :

a

b c d

(A) 2 1

4 3

(B) 3

4 2 1

(C) 4 1

2 1

(D) 4 3 1 2

31. Which of the following flags are set when 'JMP'

instruction is executed ?

(A) SF and CF

(B) AF and CF

(C) All flags

(D) No flag is set

32. A thread is a light weight process. In the above

statement, weight refers to

(A) time

(B) number of resources

(C) speed

(D) All the above

33. The Z-buffer algorithm is used for Hidden surface removal

of objects. The maximum number of objects that can be handled by this algorithm

shall

(A) Depend on the application

(B) be arbitrary no. of objects

(C) Depend on the memory availability

(D) Depend on the processor

34. The power set of AUB, where A = {2,3, 5,7} and B = {2,5,

8,9} is

(A) 256

(B) 64

(C) 16

(D) 4

35. In Win32, which function is used to create Windows

Applications ?

(A) WinAPP

(B) Win API

(C) Win Main

(D) WinVoid

36. Suppose a processor does not have any stack pointer

registers, which of the following statements is true ?

(A) It cannot have subroutine call instruction.

(B) It cannot have nested subroutine calls.

(C) Interrupts are not possible.

(D) All subroutine calls and interrupts are possible.

37. Everything below the System call interface and above the

physical hardware is known as______.

(A) Kernel

(B) Bus

(C) Shell

(D) Stub

38. Which is not the correct statement ?

(A) The class of regular sets is closed under homomorphisms.

(B) The class of regular sets is not closed under inverse

homomorphisms.

(C) The class of regular sets is closed under quotient.

(D) The class of regular sets is closed under substitution.

39. When a programming Language has the capacity to produce

new data type, it is called as,

(A) Overloaded Language

(B) Extensible Language

(C) Encapsulated Language

(D) Abstraction Language

40. Which of the following operating system is better for

implementing client-server network ?

(A) Windows 95

(B) Windows 98

(C) Windows 2000

(D) All of these

41. Consider a system having m resources of the same type.

These resources are shared by 3 processes A, B and C which have peak demands of

3,4 and 6 respectively. For what value of m deadlock will not occur ?

(A) 7

(B) 9

(C) 10

(D) 13

42. The grammar 'G1'

S -> OSO| ISI | 0|1|∈ and the grammar 'G2'

is

S -> as |asb| X, X -> Xa

| a.

Which is the correct statement ?

(A) G1 is ambiguous, G2 is unambiguous

(B) G1 is unambiguous, G2 is ambiguous

(C) Both G1 and G2 are ambiguous

(D) Both G1 and G2 are

unambiguous

43. Consider n processes sharing the CPU in round robin

fashion. Assuming that each process switch takes

**s**seconds. What must be

the quantum size

**q**such that the overhead resulting from process

switching is minimized but, at the same time each process is guaranteed to get

its turn at the CPU at least every

**t**seconds ?

(A) q ≤ t - ns / n - 1

(B) q ≥ t - ns / n - 1

(C) q ≤ t - ns / n + 1

(D) q ≥ t - ns / n + 1

44. The Default Parameter Passing Mechanism is called

as

(A) Call by Value

(B) Call by Reference

(C) Call by Address

(D) Call by Name

45. Which of the following regular expression identities are

true ?

(A) (r + s)* = r*s*

(B) (r + s)* = r* + s*

(C) (r + s)* = (r*s*)*

(D) r* s* = r* + s*

46. Two graphs A and B are shown below : Which one of the

following statement is true?

(A) Both A and B are planar.

(B) Neither A nor B is planar.

(C) A is planar and B is not.

(D) B is planar and A is not.

47. The minimum number of states of the non-deterministic

finite automation which accepts the language

{a b a b

^{n }|n ≥ 0} ∪ {a b a

^{n }|n ≥ 0} is

(A)

3

(B) 4

(C)

5

(D) 6

48. Functions defined with class name are called as

(A) Inline function

(B) Friend function

(C) Constructor

(D) Static function

49. Let f be the fraction of a computation (in terms of time) that

is parallelizable, P the number of processors in the system, and s

_{p }the

speed up achievable in comparison with sequential execution

- then the s

_{p }can be calculated using the

relation :

(A) 1 / 1 - f - f/P

(B) P / P - f(P+1)

(Q 1 / 1 - f + f/P

(D) P / P + f(P-1)

50. Which of the following definitions generates the same

Language as L, where L=(WW

^{R }| W ∈ {a,b}*}

(A) S -> asb|bsa|∈

(B) S -> asa|bsb|∈

(C) S -> asb|bsa|asa|bsb|∈

(D) S -> asb|bsa|asa|bsb

51. Suppose there are log

_{n }sorted

lists of n log

_{n }elements each. The time complexity of producing a

sorted list of all these elements is (use heap data structure)

(A) O(n log log

_{n})

(B) θ(n log

_{n})

(C) Ω(n log

_{n})

(D) Ω(n

^{3/2})

52. Consider the program below in a hypothetical programming

language which allows global variables and a choice of static or dynamic

scoping

int i;

program Main( )

{

i = 10;

call f ();

}

procedure f( )

{

int i = 20;

call g ( );

}

procedure g( )

{

print i;

}

Let x be the value printed under static scoping and y be the value printed

under dynamic scoping. Then x and y are

(A) x = 10, y = 20

(B) x = 20, y = 10

(C) x = 20, y = 20

(D) x = 10, y = 10

53. If the parse tree of a word w generated by a

Chomsky normal form grammar has no path of length greater than i, then the word

w is of length

(A) no greater than 2

^{i+1}

(B) no greater than 2

^{i}

(C) no greater than 2

^{i-1}

(D) no greater than i

54. The Object Modelling Technique (OMT) uses the following

three kinds of model to describe a system

(A) Class Model, Object Model and Analysis Model.

(B) Object Model, Dynamic Model, and Functional Model.

(C) Class Model, Dynamic Model and Functional Model.

(D) Object Model, Analysis Model and Dynamic Model.

55. The factors that determine the quality of a software

system are

(A) correctness, reliability

(B) efficiency, usability, maintain-ability

(C) testability, portability, accuracy, error tolerances,

expandability, access control, audit.

(D) All of the above

56. If a relation with a Schema R is decomposed into two

relations R

_{1}and R

_{2 }such that (R

_{1}∪R

_{2})

= R

_{1 }then which one of the following is to be satisfied for a

lossless joint decomposition (—> indicates functional dependency)

(A) (R

_{1 }∩ R

_{2}) —> R

_{1 }or R

_{1}∩ R

_{2 }—> R

_{2}

(B) R

_{1}∩ R

_{2 }—> R

_{1}

(C) R

_{1}∩ R

_{2 }—> R

_{2}

(D) R

_{1 }∩ R

_{2}—> R

_{1 }and R

_{1}∩

R

_{2 }—> R

_{2}

57. Given the following statements :

(i) Recursive enumerable sets are closed

under complementation.

(ii) Recursive sets are closed under complementation.

Which is/are the correct statements ?

(A) only(i)

(B) only(ii)

(C) both (i) and (ii)

(D) neither (i) nor (ii)

58. Skolemization is the process of

(A) bringing all the quantifiers in the beginning of a

formula in FDL.

(B) removing all the universal quantifiers.

(C) removing all the existential quantifiers.

(D) all of the above.

59. Which level of Abstraction describes how data are stored

in the data base ?

(A) Physical level

(B) View level

(C) Abstraction level

(D) Logical level

60. The transform which possesses the

"multi-resolution" property is

(A) Fourier transform

(B) Short-time-Fourier transform

(C) Wavelet transform

(D) Karhunen-Loere transform

61. Which one is a collection of templates and rules ?

(A) XML

(B) CSS

(C) DHTML

(D) XSL

62. A program P calls two subprograms P1 and P2. P1 can fail

50% times and P2 40% times. Then P can fail

(A) 50%

(B) 60%

(C) 10%

(D) 70%

63. Third normal form is based on the concept of _____.

(A) Closure Dependency

(B) Transitive Dependency

(C) Normal Dependency

(D) Functional Dependency

64. If the Fourier transform of the function f(x, y) is F(m,

n), then the Fourier transform of the function f(2x, 2y) is :

(A) 1/4 F(m/2 ,n/2)

(B) 1/4 F(2m ,2n)

(C) 1/4 F(m,n)

(D) 1/4 F(m/4 ,n/4)

65. ______ establishes information about when, why and by whom changes

are made in a software.

(A) Software Configuration Management.

(B) Change Control.

(C) Version Control.

(D) An Audit Trail

66. Match the following with respect to HTML tags and usage.

a. CITE 1. Italic

representation

b. EM

2. Represents output from programmes

c. VAR 3.

Represents to other source

d. SAMP 4. Argument to a programme

Codes :

a

b c d

(A) 3

1 4 2

(B) 2

3 1 4

(C) 4 2

3 1

(D) 1

3 4 1

67. An expert System shell is an expert system without

(A) domain knowledge

(B) explanation facility

(C) reasoning with knowledge

(D) all of the above

68. An example of a dictionary-based coding technique

is

(A) Run-length coding

(B) Huffman coding

(C) Predictive coding

(D) LZW coding

69. Which is the method used to retrieve the current state of

a check box ?

(A) get State ( )

(B) put State ( )

(C) retrieve State ( )

(D) write State ( )

70. Referential integrity is directly related to

(A) Relation key

(B) Foreign key

(C) Primary key

(D) Candidate key

71. You are given four images represented as

The value of entropy is maximum for image

(A) I

_{1}

(B) I

_{2}

(C) I

_{3}

(D) I

_{4}

72. A cryptarithmetic problem of the type

SEND

+

__MORE__

__MONEY__

Can be solved efficiently using

(A) depth first technique

(B) breadth first technique

(C) constraint satisfaction technique

(D) bidirectional technique

73. Match the following

a. Supervised

learning 1.

The decision system receives rewards for its action at the end of a

sequence of steps.

b. Unsupervised learning 2. Manual labels

of inputs are not used.

c. Re-reinforcement learning 3. Manual labels of inputs are used.

d. Inductive learning 4.

System learns by example

Codes :

a b c d

(A) 1 2

3 4

(B) 2 3

1 4

(C) 3 2

4 1

(D) 3 2

1 4

74. A* algorithm is guaranteed to find an optimal solution if

(A) h' is always 0.

(B) g is always 1.

(C) h' never overestimates h.

(D) h' never underestimates h.

75. Let θ(x, y, z) be the statement "x + y = z" and let

there be two quantifications given as

(i) ∀x ∀y ∃z θ(x, y, z)

(ii) ∃z ∀x ∀y θ(x, y, z)

Where x, y, z are real numbers, Then which one of the following is correct ?

(A) (i) is true and (ii) is true.

(B) (i) is true and (ii) is false.

(C) (i) is false and (ii) is true.

(D) (i) is false and (ii) is false.

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