| 21. | A basic feasible solution to a m-origin, n-destination transportation problem is said to be ................... if the number of positive allocations are less than m + n – 1. |
| a. | degenerate |
| b. | non-degenerate |
| c. | unbounded |
| d. | unbalanced |
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Answer: (a).degenerate
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| 22. | The total transportation cost in an initial basic feasible solution to the following transportation problem using Vogel’s Approximation method is
 |
| a. | 76 |
| b. | 80 |
| c. | 90 |
| d. | 96 |
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Answer: (b).80
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| 23. | A fuzzy set A on R is ................. iff A(λx1 + (1 – λ)x2) ≥ min [A(x1), A(x2)] for all x1, x2 ∈ R and all λ ∈ [0, 1], where min denotes the minimum operator. |
| a. | Support |
| b. | α-cut |
| c. | Convex |
| d. | Concave |
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Answer: (c).Convex
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| 24. | If A and B are two fuzzy sets with membership functions μA(x) = {0.6, 0.5, 0.1, 0.7, 0.8} μB(x) = {0.9, 0.2, 0.6, 0.8, 0.5} Then the value of μ(A∪B)’(x) will be |
| a. | {0.9, 0.5, 0.6, 0.8, 0.8} |
| b. | {0.6, 0.2, 0.1, 0.7, 0.5} |
| c. | {0.1, 0.5, 0.4, 0.2, 0.2} |
| d. | {0.1, 0.5, 0.4, 0.2, 0.3} |
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Answer: (c).{0.1, 0.5, 0.4, 0.2, 0.2}
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| 25. | Consider a single perception with weights as given in the following figure. The perception can solve
 |
| a. | OR problem |
| b. | AND problem |
| c. | XOR problem |
| d. | All of the above |
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Answer: (b).AND problem
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