UGC NET DEC 2012

Computer Science- Paper III

 

1. Eco system is a Frame work for

(A) Building a Computer System

(B) Building Internet Market

(C) Building Offline Market

(D) Building Market

Ans: B

 

2.The efficiency (E) and speed up(sp) for multiprocessor with p processors satisifies:

(A) E<=p and sp<=p 

(B) E<=1 and sp<=p

(C) E<=p and sp<=1

(D) E<=1 and sp<=1

Ans:B

3. Match the following:

               List-1                      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 

          a    b    c    d

(A)    2     1    3    4

(B)    1     2    4    3

(C)    2     3    1   4

(D)    1     3    2   4

Ans: A

4. The technique of temporarily  delaying outgoing acknowledgement so that they can be hooked onto the next outgoing data frame is known as

(A) Bit stuffing

(B) Piggy backing

(C) Pipe-lining

(D) Broadcasting

Ans: B

 

5. __________ is 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

Ans:C

 

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.

Ans:A

 

7. Which combination of the following features will suffice to characterize an OS as a multi-programmed OS? 

(a) More than one program may be loaded into main memory at the same time for execution. 

(b) If a program waits for certain events such as I/O, another program is immediately scheduled for execution. 

(c) If the execution of a program terminates, another program is immediately scheduled for execution.

(A) (a) only
(b) (a) and (b) only
(c) (a) and (c) only
(d) (a),(b) and (c) only

Ans:D

 

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

Ans:D

n = (p x q) = (3 x 11) = 33

f(n) = (p – 1)(q – 1) = (3 – 1)(11 – 1) = (2)(10) = 20

e must be relatively prime to f(n);

Factors of 20 = 1, 2, 4, 5, 10, 20

Factors suitable for e = 3, 4, 5, 6, 7, ….

Try 3.  Factors of 3 = 1, 3

Selecting 3 meets requirement to be relatively prime to f(n).

We also know d = e^-1 mod f(n); that is ed = 1 mod 20

We also can find 1 mod 20 = 21, 41, 61, etc.

Testing ed = 21, then d = 21/3 = 7

Public Key is [3,33]

Private key is [7,33]

Encrypting:

C = m^e mod n = 5³ mod 33 = 125 mod 33 = 125/33 = Q of 3, R of 26

So C = 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 problems can be solved using self organizing maps.

(C) OR problem can be solved using radial basis function and XORcan be solved using single layer perception. 

(D) OR problem can be solved using single layer perception and XOR problems can be solved using radial basis function.

Ans:D

 

10. Match the following:  

           List-1                      List -II

a.  Application Layer     1. TCP  

b. Trasnport Layer        2. HDLC

c. Network Layer           3. HTTP

d. Data Link Layer        4. BGP

         a    b    c    d

(A)    2     1    4   3

(B)    3     4    1   2

(C)    3     1    4   2

(D)    2     4    1   3

Ans:C

 

11.The time complexities of some standard graph algorithm 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. Kruskal's Algorithm               2. O(n^3)

c. Floyds Warshall Algorithm    3. O(mn)

d. Topological Sorting                 4. O(m+n)

Ans:A

 

12.    Let V₁ = 2I - J + K and V₂ = I + J - K, then the angle between V₁ & V₂ and a vector perpendicular to both V₁ & V₂ 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)

Ans:

 

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)    {  }

Ans: C

 

 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(log₂ⁿ)
(C)    T(n) = O(n)
(D)    T(n) = O(n²)

Ans:C (But in the question it has to be mentionioned 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

Ans:A 

 

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.

 Ans:B

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

 Ans:A or C

 

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

Ans: C

 

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

Ans:C

 

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! /  n₁!+ n₂! + ..... + n_k!
(B)  n₁!+ n₂! + ..... + n_k! /  n₁! n₂! n₃!  .....  n_k!
(C)  n! / n₁! n₂! n₃!  .....  n_k!
(D)  n₁! n₂! ....n_k! / n₁! - n₂! - n₃!  ..... - n_k!

 Ans:C

  21.    How many solutions do the following equation have
         x₁ + x₂ + x₃ = 11  where x₁ ≥ 1, x₂ ≥ 2, x₃ ≥ 3
(A)    C(7,11)
(B)    C(11,3)                       
(C)    C(14, 11)
(D)    C(7,5)

 Ans:D

 

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

Ans:C

 

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      

Ans:D

 

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

Ans:A

 

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

Ans:B

 

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

 Ans: D

 

28.   The initial basic feasible solution to the following transportation problem using Vogel's approximation method is                                                   

	D1	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)   X₁₁ = 20, X₁₃ = 10, X₂₁  = 20,    X₂₃ = 20, X₂₄ = 10, X₃₂  = 10,         Total Cost = 180
(B)   X₁₁ = 20, X₁₂ = 20, X₁₃  = 10,    X₂₂ = 20, X₂₃ = 20, X₂₄  = 10,         Total Cost = 180
(C)   X₁₁ = 20, X₁₃ = 10, X₂₂  = 20,     X₂₃ = 20, X₂₄ = 10, X₃₂  = 10,         Total Cost = 180
(D)   None of the above

Ans:C

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

  Ans:D

  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                       3. Sending data from a BS to MD

     user's stay in cell        
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