July 2016 - Paper 3

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3. July 2016
4. Paper 3

61:   The region of feasible solution of a linear programming problem has a _____ property in
geometry, provided the feasible solution of the problem exists.

A.	concavity
B.	convexity
C.	quadratic
D.	polyhedron
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	Option: B Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

62:   Consider the following statements :

(a) Revised simplex method requires lesser computations than the simplex method.

(b) Revised simplex method automatically generates the inverse of the current basis
matrix.

(c) Less number of entries are needed in each table of revised simplex method than
usual simplex method.

Which of these statements are correct ?

A.	(a) and (b) only
B.	(a) and (c) only
C.	(b) and (c) only
D.	(a), (b) and (c)
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	Option: D Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

63:  

The following transportation problem :

The above solution of a given transportation problem is

 

	A	B	C	Supply
I.	50	30	220	1
II.	90	40	170	3
III.	250	200	50	4
Demand	4	2	2

 

has solution 

	A	B	C
I.	1
II.	3	0
III.		2	2

 

A.	infeasible solution
B.	optimum solution
C.	non-optimum solution
D.	unbounded solution
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	Option: B Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

64:  

Let R and S be two fuzzy relations defined as :

Then, the resulting relation, T, which relates elements of universe x to elements of universe z using max-min composition is given by

A.
B.
C.
D.
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	Option: C Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

65:  

Compute the value of adding the following two fuzzy integers :

 

A = {(0.3, 1), (0.6, 2), (1, 3), (0.7, 4), (0.2, 5)}

 

B = {(0.5, 11), (1, 12), (0.5, 13)}

 

Where fuzzy addition is defined as

 

μA+B (z) = max_{x + y = z} (min (μA(x), μB(x)))

 

Then, f (A + B) is equal to

A.	{(0.5, 12), (0.6, 13), (1, 14), (0.7, 15), (0.7, 16), (1, 17), (1, 18)}
B.	{(0.5, 12), (0.6, 13), (1, 14), (1, 15), (1, 16), (1, 17), (1, 18)}
C.	{(0.3, 12), (0.5, 13), (0.5, 14), (1, 15), (0.7, 16), (0.5, 17), (0.2, 18)}
D.	{(0.3, 12), (0.5, 13), (0.6, 14), (1, 15), (0.7, 16), (0.5, 17), (0.2, 18)}
	Answer Report Discuss
	Option: D Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

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