PREVIOUS YEAR SOLVED PAPERS - August 2016 Paper 3

61. Consider the following linear programming problem : Max. z = 0.50 x2 – 0.10x1
Subject to the constraints 2x1 + 5x2 < 80
x1 + x2 < 20
and x1, x2 > 0
The total maximum profit (z) for the above problem is :

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62. Consider the following statements :
(a) If primal (dual) problem has a finite optimal solution, then its dual (primal) problem has a finite optimal solution.
(b) If primal (dual) problem has an unbounded optimum solution, then its dual (primal) has no feasible solution at all.
(c) Both primal and dual problems may be infeasible.
Which of the following is correct ?

  • Option : D
  • Explanation :
  • If primal (dual) problem has a finite optimal solution, then its dual (primal) problem has a finite optimal solution.Correct
  • If primal (dual) problem has an unbounded optimum solution, then its dual (primal) has no feasible solution at all.Correct
  • Both primal and dual problems may be infeasible.Correct
  • So, option (D) is correct.
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63. Consider the following statements :
(a) Assignment problem can be used to minimize the cost.
(b) Assignment problem is a special case of transportation problem.
(c) Assignment problem requires that only one activity be assigned to each resource.
Which of the following options is correct ?

  • Option : D
  • Explanation :
    Assignment problem is a special case of transportation problem. It requires that only one activity be assigned to each resource and it can be used to minimize the cost. All statement are correct. So, option (D) is correct.
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64. What are the following sequence of steps taken in designing a fuzzy logic machine?

  • Option : A
  • Explanation :
    The process of fuzzy reasoning is incorporated into what is called a Fuzzy Inferencing System. It involves three steps: 1 - Fuzzification 2 - Rule evaluation(inferencing) 3 - Defuzzification These steps are done sequencly 1 → 2 → 3. So, option (A) is correct.
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65. Which of the following 2 input Boolean logic functions is linearly inseparable ?
(a) AND
(b) OR
(c) NOR
(d) XOR
(e) NOT XOR

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Related Quiz.
August 2016 Paper 3