Description : When at least one of the basic variables is zero, then the basic feasible solution to a Linear Programming Problem is said to be .............................. a. Infeasible b. Unbounded c. Degenerate d. Non-degenerate
Last Answer : c. Degenerate
Description : A BFS of a LPP is said to be ______ if at least one of the basic variable is zero a. Degenerate b. Non-degenerate c. Infeasible d. unbounded
Last Answer : a. Degenerate
Description : 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
Last Answer : (A) degenerate
Description : If the feasible region of a linear programming problem is empty, the solution is .................... a. Unbounded b. Infeasible c. Infeasible d. Alternative
Last Answer : b. Infeasible
Description : Consider the following transportation problem: The initial basic feasible solution of the above transportation problem using Vogel's Approximation Method(VAM) is given below: The solution of the ... degenerate solution (B) is optimum solution (C) needs to improve (D) is infeasible solution
Last Answer : (B) is optimum solution
Description : If the primal Linear Programming problem has unbounded solution, then it’s dual problem will have (A) feasible solution (B) alternative solution (C) no feasible solution at all (D) no bounded solution at all
Last Answer : (C) no feasible solution at all
Description : Given the following statements with respect to linear programming problem: S1: The dual of the dual linear programming problem is again the primal problem S2: If either the primal or the dual problem has an unbounded objective function ... S1 and S2 (B) S1 and S3 (B) S2 and S3 (D) S1, S2 and S2
Last Answer : (D) S1, S2 and S2
Description : Consider the following conditions : (a) The solution must be feasible, i.e. it must satisfy all the supply and demand constraints. (b) The number of positive allocations must be equal to m+n-1, where m is the number of rows and n is ... B) (a) and (c) only (C) (b) and (c) only (D) (a), (b) and (c)
Last Answer : (D) (a), (b) and (c)
Description : At any iteration of simplex method, if Δj (Zj – Cj) corresponding to any nonbasic variable Xj is obtained as zero, the solution under the test is (A) Degenerate solution (B) Unbounded solution (C) Alternative solution (D) Optimal solution
Last Answer : (C) Alternative solution
Description : The following transportation problem: The above solution of a given transportation problem is (A) infeasible solution (B) optimum solution (C) non-optimum solution (D) unbounded solution
Last Answer : (B) optimum solution
Description : 62. If one of the constraint of an equation in an LP problem has an unbounded solution, then a. Solution to such LP problem must be degenerate b. Feasible region should have a line segment c. Alternative solutions exists d. None of the above
Last Answer : b. Feasible region should have a line segment
Description : 64. If the feasible region of a LPP is empty, the solution is _______ a. Infeasible b. Unbounded c. Alternative d. None of the above
Last Answer : a. Infeasible
Description : 58. While solving a LP model graphically, the area bounded by the constraints is called a. Feasible region b. Infeasible region c. Unbounded solution d. None of the above
Last Answer : a. Feasible region
Description : 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
Last Answer : (B) convexity
Description : While solving a LPP graphically, the area bounded by constraints is called ................. a. Feasible region b. Infeasible region c. Unbounded region d. None of these
Description : If in a LPP, the solution of a variable can be infinity large without violating the constraints, the solution is ___ a. Infeasible b. Unbounded c. Alternative d. None of the above
Last Answer : b. Unbounded
Description : In an LPP, if the solution of a variable can be made infinitely large without violating the constraints, then the solution is .............................. a. Infeasible b. Alternative c. Unbounded d. Unique
Last Answer : c. Unbounded
Description : 55. If two constraints do not intersect in the positive quadrant of the graph, then a. The problem is infeasible b. The solution is unbounded c. One of the constraints is redundant d. None of the above
Last Answer : a. The problem is infeasible
Description : 61. If a non-redundant constraint is removed from an LP problem then a. Feasible region will become larger b. Feasible region will become smaller c. Solution will become infeasible d. None of the above
Last Answer : a. Feasible region will become larger
Description : 52. If an iso-profit yielding the optimal solution coincides with a constraint line, then a. The solution is unbounded b. The solution is infeasible c. The constraint which coincides is redundant d. None of the above
Last Answer : d. None of the above
Description : If there are more than one optimal solutions for the decision variables, the solution is ........... a. Infeasible b. Unbounded c. Alternative d. None of these
Last Answer : c. Alternative
Description : 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
Last Answer : (B) 80
Description : The initial basic feasible solution of the following transportion problem : then the minimum cost is (A) 76 (B) 78 (C) 80 (D) 82
Last Answer : (A) 76
Description : Consider the following transportation problem : The transportation cost in the initial basic feasible solution of the above transportation problem using Vogel’s Approximation method is : (A) 1450 (B) 1465 (C) 1480 (D) 1520
Last Answer : (B) 1465
Description : When a particular assignment in the given problem is not possible or restricted as a condition, it is called a __ problem a. Infeasible b. Degenerate c. Unbalanced d. Prohibited
Last Answer : d. Prohibited
Description : Operations Research techniques help to find ................... solution. a. Feasible solution b. Infeasible solution c. Optimal solution d. None of these
Last Answer : c. Optimal solution
Description : . In simplex algorithm, which method is used to deal with the situation where an infeasible starting basic solution is given? a. Slack variable b. Simplex method c. Big M Method d. None of the above
Last Answer : b. Simplex method
Description : A basic solution which also satisfies the condition in which all basic variables are non-negative is called ___ a. Basic feasible solution b. Feasible solution c. Optimal solution d. None of the above
Last Answer : a. Basic feasible solution
Description : 65. Any feasible solution which optimizes (minimizes or maximizes) the objective function of the LPP is called as _______ a. Optimal solution b. Non-basic variables c. Solution d. Basic Feasible solution
Last Answer : a. Optimal solution
Description : Which of the following is false for the programming language PROLOG? (A) A PROLOG variable can only be assigned to a value once (B) PROLOG is a Strongly Typed Language. (C) The scope of a variable in PROLOG is a single clause or rule. (D) the scope of a variable in PROLOG is a Single Query
Last Answer : (B) PROLOG is a Strongly Typed Language.
Description : 57. The solution space(region) of an LP problem is unbounded due to a. An incorrect formulation of the LP model b. Objective function is unbounded c. Neither a nor b d. Both a & b
Last Answer : b. Objective function is unbounded c. Neither a nor b
Description : Genetic code is said to be degenerate because (A) It can undergo mutations (B) A large proportion of DNA is non-coding (C) One codon can code for more than one amino acids (D) More than one codons can code for the same amino acids
Last Answer : Answer : D
Description : The purpose of a dummy row or column in an assignment problem is to a. Obtain balance between total activities and total resources b. Prevent a solution from becoming degenerate c. Provide a means of representing a dummy problem d. None of the above
Last Answer : a. Obtain balance between total activities and total resources
Description : If in an assignment problem, number of rows is not equal to number of columns then a. Maximization problem b. Problem is unbalanced c. Problem is degenerate d. Optimum solution is not possible
Last Answer : c. Problem is degenerate
Description : The dummy source/destination in a transportation problem is added to ........................ a. Satisfy rim constraints b. Prevent solution from becoming degenerate c. Ensure total cost does not exceed a limit d. None of the above
Last Answer : a. Satisfy rim constraints
Description : A software company needs to develop a project that is estimated as 1000 function points and is planning to use JAVA as the programming language whose approximate lines of code per function point is accepted as 50. Considering a=1. ... ? (1) 11.2 months (2) 12.2 months (3) 13.2 months (4) 10.2 months
Last Answer : Generally, any projects are measured in weeks. However, the complex project might take more time depending on the level of object re-use available.
Description : Every Linear Programming Problem is related to another Linear Programming Problem, called .......................... a. Primal b. Dual c. Non-linear Programming d. None of these
Last Answer : b. Dual
Description : A constraint in a Linear Programming Model restricts: a. Value of objective function b. Value of decision variable c. Use of available resources d. All of the above
Last Answer : d. All of the above
Description : BFS in LPP stands for: a. Best Feasible solution b. Better feasible solution c. Basic feasible solution d. None of the above
Last Answer : c. Basic feasible solution
Description : The student marks should not be greater than 100. This is (A) Integrity constraint (B) Referential constraint (C) Over-defined constraint (D) Feasible constraint
Last Answer : (A) Integrity constraint
Description : Which of the following is true about the static member variable in C++. i) It is initialized to zero when the first object of its class is created. Other initialization is also permitted. ii) It is visible only within ... , ii-True B) ii-False, ii-True C) i-True, ii-False D) i-False, iii-False
Last Answer : B) ii-False, ii-True
Description : The travelling salesman problem can be solved in: (A) Polynomial time using dynamic programming algorithm (B) Polynomial time using branch-and-bound algorithm (C) Exponential time using dynamic programming algorithm or branch-andbound algorithm. (D) Polynomial time using backtracking algorithm.
Last Answer : (C) Exponential time using dynamic programming algorithm or branch-andbound algorithm.
Description : 49. A feasible solution to an LP problem a. Must satisfy all of the problem’s constraints simultaneously b. Need not satisfy all of the constraints, only some of them c. Must be a corner point of the feasible solution d. Must optimize the value of the objective function
Last Answer : a. Must satisfy all of the problem’s constraints simultaneously
Description : Which of the following is a characteristic of a dual problem: a. Dual of a dual is primal b. If dual has a finite optimal solution, then the primal also has finite optimal solution c. If dual has no feasible solution, then the primal also has no feasible solution d. All of the above
Description : Initial feasible solution to a transportation problem arrived through which of the following method is very near to the optimal solution: a. NWCM b. LCM c. VAM d. None of these
Last Answer : c. VAM
Description : Initial feasible solution to a transportation Problem can be found out by ......................... a. VAM b. MODI Method c. Both a and b d. None of these
Last Answer : a. VAM
Description : The solution to a transportation problem with ‘m’ rows and ‘n’ columns is feasible if the number of positive allocations are: a. m + n b. m x n c. m +n – 1 d. m +n + 1
Last Answer : c. m +n – 1
Description : A tessellated model is said to be valid if there are ________ a.no missing facets b.no degenerate facets c.no overlapping facets d.all of the above
Last Answer : d.all of the above
Description : Consider the following statements: The genetic code said to be degenerate and universal which means that, (1) Amino afids may have more than one codon (2) All amino acids have mo than one codon (3) Codons are common for higher and lower organism (4) Codons are not found in bacteria
Last Answer : Ans. ((d))
Description : 5. Some amino acids are coded by more than one codon hence the codon is said to be a)Universal b)Degenerate c)Unambiguous d)Specific
Last Answer : b)Degenerate