UGC NET Solved Paper-III December 2013

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1. If the primal Linear Programming problem has unbounded solution, then it’s dual problem will have

(A) feasible solution               (B) alternative solution

(C) no feasible solution at all  (D) no bounded solution at all

2. Given the problem to maximize f(x), X = (x₁, x₂,......x_n) subject to m number of inequality

constraints. g_i(x) ≤ b_i, i = 1, 2......m including the non-negativity constraints x ≥ 0. Which of the following conditions is a Kuhn-Tucker necessary condition for a local maxima at x ?

(A)  ∂L(X, λ, S)/∂x_j= 0, j = 1, 2….m

(B) –λ _i [g_i (–X) – b_i]= 0, i = 1, 2 ….m

(C) g_i (–X) ≤ b_i, i = 1, 2 ….m

(D) All of these

3. The following Linear Programming problem has :

Max Z = x₁ + x₂               Subject to        x₁ – x₂ ≥ 0

3 x₁ – x₂ ≤ –3

       and x₁, x₂ ≥ 0

(A) Feasible solution               (B) No feasible solution

(C) Unbounded solution         (D) Single point as solution

4. Given a flow graph with 10 nodes, 13 edges and one connected components, the number of regions and the number of predicate (decision) nodes in the flow graph will be

(A) 4, 5 (B) 5, 4 (C) 3, 1 (D) 13, 8

5. Function points can be calculated by

(A) UFP ∗ CAF  (B) UFP ∗ FAC  (C) UFP ∗ Cost  (D) UFP ∗ Productivity

6. Match the following :

    List – I                     List – II

a. Data coupling          i. Module A and Module B have shared data

b. Stamp coupling        ii. Dependency between modules is based on the fact they communicate by only passing of data

c. Common coupling   iii. When complete data structure is passed from one module to another

d. Content coupling     iv. When the control is passed from one module to the middle of another

Codes :

       a b c d

(A) iii ii i iv

(B) ii iii i iv

(C) ii iii iv i

(D) iii ii iv i

7. A process which defines a series of tasks that have the following four primary objectives is known as

1. to identify all items that collectively define the software configuration.

2. to manage changes to one or more of these items.

3. to facilitate the construction of different versions of an application.

4. to ensure that software quality is maintained as the configuration evolves over time.

(A) Software Quality Management Process

(B) Software Configuration Management Process

(C) Software Version Management Process

(D) Software Change Management Process

8. One weakness of boundary value analysis and equivalence partitioning is

(A) they are not effective.

(B) they do not explore combinations of input circumstances.

(C) they explore combinations of input circumstances.

(D) none of the above.

9. Which once of the following is not a software myth ?

(A) Once we write the program and get it to work, our job is done.

(B) Project requirements continually change, but change can be easily accommodated because

software is flexible.

(C) If we get behind schedule, we can add more programmers and catch up.

(D) If an organization does not understand how to control software projects internally, it will invariably struggle when it outsources software projects.

10. Match the following with respect to relationship between objects and classes :

    List – I                 List – II

a. State diagram       i. Useful for both abstract modeling and for designing actual program

b. Object diagram    ii. Describes object classes

c. Class diagram      iii. Useful for documenting test cases

d. Instance diagram iv. Describing the behaviour of a single class of objects.

Codes :

             a         b          c          d

(A)       iv         i           ii          iii

(B)       ii          iii         iv         i

(C)       iii         iv         ii          i

(D)       ii          iv         i           iii

11. Match the following style rules for reusability :

    List – I                              List – II

a. Keep methods coherent     i. Write a method to get the last element of a list

b. Keep methods small          ii. Maintain parallel structure when possible

c. Keep methods consistent   iii. Breaking a method into smaller parts

d. Provide uniform coverage iv. Performs a single function or a group of closely related functions.

Codes :

            a          b          c          d

(A)       iv         iii         ii          i

(B)       ii          i           iv         iii

(C)       iii         iv         ii          i

(D)       ii          iii         iv         i

12. Which is the protocol for performing RPCs between applications in a language and system independent way ?

(A) Hyper Text Transmission Protocol (HTTP)

(B) Simple Network Management Protocol (SNMP)

(C) Simple Object Access Protocol (SOAP)

(D) Simple Mail Transfer Protocol (SMTP)

13. The document that is used by XSLT to indicate, how to transform the elements of the XML document to another format is

(A) HTML page (B) DOC type procedure (C) Style sheet (D) Stored procedure

14. Which of the following concepts means adding new concepts to a program as it runs ?

(A) Data hiding (B) Dynamic loading (C) Dynamic typing (D) Dynamic binding

15. Which of the following correctly describes overloading of functions ?

(A) Virtual polymorphism     (B) Transient polymorphism

(C) Ad-hoc polymorphism     (D) Pseudo polymorphism

16. Match the following with respect to programming languages :

    List – I                                                        List – II

a. Structured Language                                   i. JAVA

b. Non-structured Language                           ii. BASIC

c. Object Oriented Programming Language   iii. PASCAL

d. Interpreted Programming Language           iv. FORTRAN

Codes :

            a          b          c          d

(A)       iii         iv         i           ii

(B)       iv         iii         ii          i

(C)       ii          iv         i           iii

(D)       ii          iii         iv         i

17. The compiler converts all operands upto the type of the largest operand is called

(A) Type Promotion    (B) Type Evaluation

(C) Type Conversion   (D) Type Declaration

18. C++ actually supports the following two complete dynamic systems :

(A) One defined by C++ and the other not defined by C.

(B) One defined by C and one specific to C++

(C) Both are specific to C++

(D) Both of them are improvements of C

19. Important advantage of using new and delete operators in C++ is

(A) Allocation of memory

(B) Frees the memory previously allocated

(C) Initialization of memory easily

(D) Allocation of memory and frees the memory previously allocated.

20. Match the following control strategies of prolog :

    List – I                    List – II

a. Forward movement i. Variable can be done with a constant, another variable or a

function.

b. Unification              ii. The entire conjunctive goal is executed.

c. Deep backtracking  iii. Previous sub goal to find alternative solutions.

d. Shallow backtracking iv. Chooses sub goal with possible unifier.

Codes :

a          b          c          d

(A)       iv         i           ii          iii

(B)       ii          iv         i           iii

(C)       iii         i           iv         ii

(D)       ii          iii         iv         i

21. Given the following statements :

S₁ : The grammars S → asb | bsa |

ss | a and S → asb | bsa | a are

not equivalent.

S₂ : The grammars S → ss | sss |

asb | bsa | λ and S → ss | asb |

bsa | λ are equivalent.

Which of the following is true ?

(A) S₁ is correct and S₂ is not

correct.

(B) Both S₁ and S₂ are correct.

(C) S₁ is not correct and S₂ is correct.

(D) Both S₁ and S₂ are not correct.

22. 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             (C) 01 (D) 00

23. High level knowledge which relates to the use of sentences in different contexts and how the

context affect the meaning of the sentences ?

(A) Morphological      (B) Syntactic   (C) Semantic   (D) Pragmatic

24. The objective of ________ procedure is to discover at least one ________ that causes two literals to match.

(A) unification, validation      (B) unification, substitution

(C) substitution, unification    (D) minimax, maximum

25. If h* represents an estimate of the cost of getting from the current node N to the goal node and h represents actual cost of getting from the current node to the goal node, then A* algorithm gives an optimal solution if

(A) h* is equal to h                 (B) h* overestimates h

(C) h* underestimates h          (D) none of these

26. The mean-end analysis process centers around the detection of differences between the current state and goal state. Once such a difference is isolated, an operator that can reduce the difference must be found. But perhaps that operator can not be applied to the current state. So

a sub-problem of getting to a state in which it can be applied is set up. The kind of backward chaining in which operators are selected and then sub goals are set up to establish the precondition of operators is called

(A) backward planning           (B) goal stack planning

(C) operator subgoaling          (D) operator overloading

27. In alpha-beta pruning, _________ is used to cut off the search at maximizing level only and

_________ is used to cut off the search at minimizing level only.

(A) alpha, beta (B) beta, alpha (C) alpha, alpha (D) beta, beta

28. If A and B are two fuzzy sets with membership functions

μA(x) = {0.2, 0.5, 0.6, 0.1, 0.9}

μB(x) = {0.1, 0.5, 0.2, 0.7, 0.8}

Then the value of μA ∩ B will be

(A) {0.2, 0.5, 0.6, 0.7, 0.9}     (B) {0.2, 0.5, 0.2, 0.1, 0.8}

(C) {0.1, 0.5, 0.6, 0.1, 0.8}     (D) {0.1, 0.5, 0.2, 0.1, 0.8}

29. The height h(A) of a fuzzy set A is defined as

h(A) = sup A(x)

            x ∈ A

Then the fuzzy set A is called normal when

(A) h(A) = 0 (B) h(A) < 0  (C) h(A) = 1 (D) h(A) < 1

30. An artificial neuron receives n inputs x₁, x₂,...., x_n with weights w₁, w₂,...., w_n attached to the input links. The weighted sum ________ is computed to be passed on to a non-linear filter φ called activation function to release the output.

(A) Σw_i   (B) Σx_i   (C) Σ w_i + Σ x_i   (D) Σw_i ⋅x_i

31. Consider the formula in image processing

R_D = 1 – 1/C_R

Where C_R =n₁/n₂

C_R is called as compression ratio n₁ and n₂ denotes the number of information carrying units in two datasets that represent the same information. In this situation R_D is called as relative _________ of the first data set.

(A) Data Compression (B) Data Redundancy (C) Data Relation (D) Data Representation

32. Find the false statement :

(A) In Modern Cryptography, symmetric key algorithms use same key both for Encryption

and Decryption.

(B) The symmetric cipher DES (Data Encryption Standard) was widely used in the industry

for security product.

(C) The AES (Advanced Encryption Standard) cryptosystem allows variable key lengths of size 56 bits and 124 bits.

(D) Public key algorithms use two different keys for Encryption and Decryption.

33. The message 11001001 is to be transmitted using the CRC polynomial x³ + 1 to protect it from errors. The message that should be transmitted is

(A) 110010011001 (B) 11001001 (C) 110010011001001 (D) 11001001011

34. _________ comparisons are necessary in the worst case to find both the maximum and minimum of n numbers.

(A) 2n – 2                    (B) n + floor (lg n) – 2

(C) floor (3n/2) – 2      (D) 2 lg n – 2

35. Let A and B be two n × n matrices. The efficient algorithm to multiply the two matrices has the time complexity

(A) O(n³)   (B) O(n^2.81)    (C) O(n^2.67)     (D) O(n²)

36. The recurrence relation T(n)=mT(n/2) tan²  is satisfied by

(A) O(n²)   (B) O(n^{1g m})   (C) O(n² lg n)   (D) O(n 1g n)

37. The longest common subsequence of the sequences X = <A, B, C, B, D, A, B> and Y = <B, D, C, A, B, A> has length

(A) 2    (B) 3    (C) 4    (D) 5

38. Assuming there are n keys and each key is in the range [0, m – 1]. The run time of bucket sort is

(A) O(n) (B) O(n lgn) (C) O(n lgm) (D) O(n + m)