UGC-NET CS 2017 Nov - III

Question 61

Which of the following is a valid reason for causing degeneracy in a transportation problem ? Here m is no. of rows and n is no. of columns in transportation table.

• When the number of allocations is m+n−1.
• When two or more occupied cells become unoccupied simultaneously.
• When the number of allocations is less than m+n−1.
• When a loop cannot be drawn without using unoccupied cells, except the starting cell of the loop.

Question 62

Consider the following LPP :

Max Z = 15x1 + 10x2

Subject to the constraints

4x1 + 6x2 ≤ 360
3x1 + 0x2 ≤ 180
0x1 + 5x2 ≤ 200
x1, x2 / 0

The solution of the LPP using Graphical solution technique is :

• x₁=60, x₂=0 and Z=900
• x₁=60, x₂=20 and Z=1100
• x₁=60, x₂=30 and Z=1200
• x₁=50, x₂=40 and Z=1150

Question 63

Consider the following LPP :

Min Z = 2x1 + x2 + 3x3

Subject to :

x1 − 2x2 + x3 ≥ 4
2x1 + x2 + x3 ≤ 8
x1 − x3 ≥ 0
x1, x2, x3 ≥ 0

The solution of this LPP using Dual Simplex Method is :

• x₁=0, x₂=0, x₃=3 and Z=9
• x₁=0, x₂=6, x₂=0 and Z=6
• x₁=4, x₂=0, x₂=0 and Z=8
• x₁=2, x₂=0, x₂=2 and Z=10

Question 64

Consider a Takagi - Sugeno - Kang (TSK) Model consisting rules of the form: If X_i is A_i1 and... and x_r is A_ir THEN y = f_i(x₁, x₂,.... x_r) = b_i0 + b_i1x₁ + b_irx_r assume, a_i is the matching degree of rule i, then the total output of the model is given by:

• [Tex] y=\sum_{i=1}^{L}\alpha_{i} f_{i}\left ( x_{1}, x_{2},...x_{n} \right )[/Tex]

• 

• 

• 

Question 65

Consider a single perceptron with sign activation function. The perceptron is represented by weight vector [0.4 −0.3 0.1]_t and a bias θ = 0. If the input vector to the perceptron is X = [0.2 0.6 0.5] then the output of the perceptron is:

• 1
• 0
• -0.25
• -1

Question 66

The Sigmoid activation function f(t) is defined as:

• 
• 
• 
• 

Question 67

Which of the following routing technique / techniques is / are used in distributed systems ? (a) Fixed Routing (b) Virtual Routing (c) Dynamic Routing

• (a) only
• (a) and (b) only
• (c) only
• All (a), (b), (c)

Question 68

Match the following WINDOWS system calls and UNIX system calls with reference to process control and File manipulation.

• (1)
• (2)
• (3)
• (4)

Question 69

Which of the following statements is/are TRUE regarding JAVA ? (a) Constants that cannot be changed are declared using the ‘static’ keyword. (b) A class can only inherit one class but can implement multiple interfaces.

• Only (a) is TRUE.
• Only (b) is TRUE.
• Both (a) and (b) are TRUE.
• Neither (a) nor (b) are TRUE.

Question 70

Which of the following statement(s) is/are TRUE regarding Java Servlets? (a) A Java Servlet is a server-side component that runs on the web server and extends the capabilities of a server. (b) A Servlet can use the user interface classes like AWT or Swing.

• Only (a) is TRUE.

• Only (b) is TRUE.

• Both (a) and (b) are TRUE.

• Neither (a) nor (b) is TRUE.