operations research mcq questions and answers

270+ Operations Research Solved MCQs

These multiple-choice questions (MCQs) are designed to enhance your knowledge and understanding in the following areas: Bachelor of Computer Applications (BCA) , Bachelor of Management Studies (BMS) .

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Operations Research MCQs

Answer these 70+ Operations Research MCQs and assess your grip on the subject of Operations Research. Scroll below and get started!

1: A cinema hall has a single ticket counter. During the peak hours, people arrive at the rate of 50 per hour to watch the movie. The average number of people who get the tickets is 100 per hour. Calculate the probability of the ticket counter being free.

A.   1

B.   2

C.   0.5

D.   1.5

2: In which of the following types of decisions does there exist only one outcome for a decision?

A.   Decision under conflict

B.   Decision under risk

C.   Decision under uncertainty

D.   Decision under certainty

3: Which of the following is required in order to apply Linear Programming effectively?

A.   Not stating the objectives mathematically

B.   Measuring the resources in the form of numbers only

C.   Having one solution to be evaluated

D.   Having the variables of a problem bear a linear relationship

4: In the north-west corner method of Linear Programming, the empty or open squares are called:

A.   stepping stone squares

B.   stone squares

C.   water squares

D.   water stone squares

5: A person comes to a cyber cafe everyday. Sometimes, he has to wait for the cyber cafe to open and at other times, he arrives late. The opening time of the cafe varies from day to day. Study the above table, computed for 8 days, and calculate the average waiting time of that person.

A.   2.2 minutes

B.   3.2 minutes

C.   4.2 minutes

D.   5.2 minutes

6: From the above table, determine the best alternative to choose if a person is adopting the maximax criterion.

A.   Alternative X

B.   Alternative Y

C.   Alternative Z

7: The initial cost of a machine is $6000. Study the above given table and calculate after how many years of service should the machine be replaced.

A.   After the 5th year of service

B.   After the 4th year of service

C.   After the 3rd year of service

D.   After the 2nd year of service

8: A furniture shop has employed only one carpenter whose work varies according to the number of wooden frames he makes. The working rate of the carpenter is randomly distributed approximating a Poisson distribution with a mean rate of ten wooden frames per hour. The carpenter works for 10 hours a day and gets an order of making 5 wooden frames per hour. If the hack-saw used by the carpenter is valued at $20 per hour, determine the equipment utilization.

A.   0.1

B.   0.3

D.   0.7

9: From the above table, determine which alternative is the best to choose if a person is adopting the Savage criterion.

A.   Stock pile X and associated cost 0

B.   Do not stock pile Y and associated cost $30000

C.   Stock pile X and associated cost $10000

D.   Do not stock pile Y and associated cost 0

10: From the above table, determine the best alternative to choose if a person is adopting the optimistic criterion.

A.   Stock pile X and associated cost $30000

B.   Do not stock pile Y and associated cost $90000

C.   Stock pile X and associated cost $60000

11: From the above table, find the basic feasible solution using the matrix minimum method.

A.   530

B.   630

C.   730

D.   830

12: Which among the following simulation models do not take the time variable into consideration?

A.   Deterministic models

B.   Stochastic models

C.   Static models

D.   Dynamic models

13: A petrol pump is opening a customer service centre which will be having only one counter to attend to the people. The manager estimates that the customers will arrive at the rate of 25 per hour. The customer care executive who has been considered for the post can attend customers at the rate of 1 customer every 2 minutes. Assuming Poisson arrivals and exponential service, calculate the average waiting time of the customers.

A.   1/5th of an hour

B.   1/8th of an hour

C.   1/3rd of an hour

D.   1/6th of an hour

14: In the above table, the mortality rates for a certain type of health products have been given. Calculate the probability of failure at the end of the 3rd month.

A.   0.15

B.   0.25

C.   0.35

D.   0.45

15: The above table gives the processing time and due data related to five jobs. Calculate the mean flow time.

A.   17.8 hours

B.   18.4 hours

C.   19.2 hours

D.   20.5 hours

16: From the above given table, calculate the saddle point.

C.   3

D.   4

E.   5

17: Using the mid square method to generate pseudo random numbers, calculate the value of number 5695 at level 2, if the value represented by the number at level 0 i.e. Ao = 5695.

A.   6489

B.   5489

C.   7489

D.   8489

18: In which of the following fields is Linear Programming technology not useful?

A.   Crude oil distribution to refineries

B.   Production distribution

C.   Agricultural operations

D.   Military applications

E.   Inventory problems

19: Which among the following types of float causes a decrease in the float of successor activities?

A.   Interfering float

B.   Independent float

C.   Free float

D.   Total float

20: Which activity of PERT/CPM does not utilize any kind of resources?

A.   Dummy activity

B.   Concurrent activity

C.   Successor activity

D.   Predecessor activity

21: In an experiment in a laboratory, an accuracy level of 80% is needed with a marginal error of 2% of the true value. Calculate the sample size.

A.   1025

B.   2025

C.   3025

D.   4025

22: The graphical method for solving transportation problems can be applied to _______ variables.

A.   5

23: Solve a game, the payoff matrix for which is shown above:

A.   -3 and +3

B.   -2 and +2

C.   -4 and +4

D.   -5 and +5

24: Which among the following models are scaled versions of actual objects?

A.   Iconic models

B.   Analogue models

C.   Descriptive models

D.   Predictive models

E.   Prescriptive models

25: Which among the following is not an application of Dynamic Programming?

A.   Scheduling production

B.   Scheduling equipment

C.   Determination of equipment

D.   Determination of a short range technique for replacing depreciating assets

A.   graphical

B.   transportation

C.   marketing

D.   waiting time

27: Which among the following is not an element of the Project Schedule Characteristic of PERT/CPM?

A.   Developing a network diagram

B.   Re-allocation of resources

C.   Estimating the duration of activities

D.   Resource availability

A company makes two products A and B. The profit per unit of the two products is $80 and $100 respectively. Both the products are sold in three cities. The above table indicates total products sold per week in the three cities.

Formulate this product problem in the Linear Programming Form.

3x1 + 2x2 ≤ 250 4x1 + 3x2 ≤ 300 5x1 + 2x2 ≤ 500

3x1 + 2x2 ≥ 250 4x1 + 3x2 ≥ 300 5x1 + 2x2 ≥ 500

3x1 + 2x2 = 250 4x1 + 3x2 = 300 5x1 + 2x2 = 500

Study the above table and calculate the project's normal distribution(in terms of days).

Calculate the cost of the project if the indirect cost is $100 per day.

30: The simulation technique must be used ________.

A.   when the system's actual observation is expensive

B.   when the problem to handle is very small

C.   when the standard sensitivity analysis is easy to handle

D.   when it is easy to develop a mathematical model

31: From the above given table, calculate the saddle point.

A.   20

B.   50

C.   80

D.   40

E.   60

32: A solution containing fewer than (m + n -1) non negative allocations where (m= jobs and n=destinations) is termed ________.

A.   degenerate basic feasible solution

B.   non degenerate basic feasible solution

C.   optimal solution

D.   basic feasible solution

33: Goal Programming is used to:

A.   handle a single goal with multiple goals.

B.   handle multiple goals with single goals.

C.   handle only multiple goals.

D.   handle only single goals.

34: From the above given table, solve the game by finding the saddle point.

A.   12

B.   9

C.   8

E.   No saddle point

35: According to the Poisson distribution process analysis, patients come to a hospital at a mean rate of 50 per hour. The time required to attend a patient has an exponential distribution with a mean of 100 per hour. Assuming that every patient is attended by an individual doctor, what would be the waiting time of one patient?

A.   20 minutes

B.   25 minutes

C.   30 minutes

D.   35 minutes

36: In the above table, 6 jobs are given along with their operation time in minutes. Find out the average processing time.

B.   22 minutes

C.   24 minutes

D.   26 minutes

37: Which of the following types of cost is dependent upon the amount of utilization of resources during the execution of individual activities?

A.   Project cost

B.   Indirect cost

C.   Direct cost

38: Which among the following classes of decisions is related to the external environment of an organization?

A.   Strategic decisions

B.   Administrative decisions

C.   Operating decisions

39: The above table represents a transportation problem. Find the basic feasible solution.

A.   13750

B.   12750

C.   13000

D.   12000

40: Which among the following is a characteristic of Dynamic Programming?

A.   Dynamic programming is a strong computational technique.

B.   Dynamic Programming is too analogous to solve a group of consecutive linear equations.

C.   Dynamic programming does not permit determining of optimal decisions.

D.   Dynamic Programming is a multistage decision making process.

41: From the above table, determine which alternative is the best to choose if a person is adopting the Laplace criterion.

A.   Stock pile X and associated cost $80000

B.   Do not stock pile Y and associated cost $70000

C.   Stock pile X and associated cost $40000

42: The price of a new car is $30000. The annual maintenance cost of the car for the first five years is $8000, $10000, $14000, $18000 and $24000 respectively. If the re-sale value decreases by 5% of the purchase price each year, calculate the best time to have the car replaced.

A.   The 1st year is the optimal replacement time.

B.   The 2nd year is the optimal replacement time.

C.   The 3rd year is the optimal replacement time.

D.   The 4th year is the optimal replacement time.

43: Which of the following is a term used to describe the behavior of a customer who leaves the queue impatiently after waiting for some period of time?

A.   Balking

B.   Reneging

C.   Jockeying

D.   Collusion

44: Which state of the system in the Queuing theory lays down that the operating characteristics are dependent on time?

A.   Transient state

B.   Steady state

C.   Explosive test

45: The crash cost and the crash time of a project is $50000 and 30 days respectively. The normal cost and the normal time of the same project is $150000 and 180 days respectively. Calculate the cost slope.

A.   0.33

B.   0.43

C.   0.53

D.   0.63

46: Use the property of dominance to find out the value of the saddle point.

A.   25/7

B.   30/7

C.   7/25

D.   7/30

47: A bus arrives at a bus-stand every 10 minutes and the service time is 30 minutes. If the capacity of the bus-stand is 5 buses, calculate the probability of the bus-stand being empty.

A.   0.0027

B.   0.002

C.   0.0057

D.   0.0037

48: The above table shows the weekly mortality rates for a certain type of washing machines. Calculate the probability of failure in the 5th week.

B.   0.2

C.   0.3

D.   0.3

49: Study the above table and calculate the range of the random numbers in which the sum of the average value of the demand and the average value of the profit falls.

A.   30-50

B.   40-80

C.   80-55

D.   55-65

50: _________ is the term used to describe the time between starting the first job and finishing the final one.

A.   Processing time

B.   Total elapsed time

C.   Idle time

D.   Waiting time

51: Which among the following is not an application of optimization in linear programming?

A.   Component selection

B.   Dynamic load sharing

C.   Calculus of variations

D.   Load allocation problems

52: The Monte-Carlo simulation technique _________.

A.   uses random numbers for generating data

B.   is used to solve stochastic situations

C.   uses mathematical techniques to solve all problems

D.   is used where physical experimentation with the actual system is possible

A.   1/5

B.   1/4

C.   1/3

D.   1/6

54: Which among the following is not an element of Linear Programming?

A.   Graphical method

B.   Simplex method

C.   Queuing theory

D.   Differential calculus

55: The increase in the probability of a failure with the increase in the life of an item is termed _________.

A.   gradual failure

B.   progressive failure

C.   retrogressive failure

D.   random failure

56: Which one of the following is a cycling error in the Network Logic of PERT/CPM?

A.   Looping error

B.   Dangling error

C.   Merging error

D.   Bursting error

57: ...... is not an element of Sensitivity Analysis.

A.   Range

B.   Forecasting

C.   Profitability

D.   Insolvency

A.   18 days

B.   19 days

C.   20 days

D.   21 days

59: The epsilon quantity used in a degenerate transport problem should be used in cells which accommodate the following solution procedure:

A.   1+E = 0

B.   1- E = 0

C.   E- E = 1

D.   1+E = 1

E.   1- E = 1

60: At a ticket booking centre, if the mean arrival rate of customers is 10 per hour and the mean service rate is 20 per hour, calculate the traffic intensity.

A.   30 per hour

B.   10 per hour

C.   2 per hour

D.   0.5 per hour

A company has to supply a number of shoes at the end of each month. Whatever is produced during a given month is available to be supplied to the customers at the end of that respective month. The set up cost is $1000 per set up and $5 per item.

Find the optimal number of shoes to be produced in the month of March.

62: The Simplex method can solve ........

A.   equations which have equal numbers of unknowns.

B.   equations which have less numbers of unknowns than the equation itself.

C.   equations which have more numbers of unknowns that the equation itself.

63: Find the value of the above game using the principle of dominance.

A.   -5

B.   8

C.   7

D.   3

64: Which among the following is not an application of Goal Programming?

A.   Capital project evaluation

B.   Establishing sales targets

C.   Analyzing a multiplant scheduling process

D.   Improving the work conditions having highly fluctuating demands

65: In Dynamic Programming, the value of ..... variables specifies the condition of a process.

A.   state variables

B.   decision variables

C.   stage variables

66: In Non-linear Programming, non-linearity exists when:

A.   a firm increases the prices of its goods to achieve more profits.

B.   a firm lowers the prices of its goods to make more people buy its goods.

C.   a firm does not increase or decrease the prices of its goods in order to maintain the optimum level of profit.

67: Which among the following methods is known as the Unit Penalty Method?

A.   North west corner rule method

B.   Matrix minimum method

C.   Vogel approximation method

D.   Stepping stone method

68: Develop a network diagram based on the information given in the table.

A.   A

B.   B

C.   C

D.   D

The elements Carbon, Magnesium and Sulfur are found in two products, P and Q. The amount of each element (milligrams per ounce) is given above:

The cost of the products is $5 per ounce and $10 per ounce respectively. The minimum requirement to make this product is 2 mg of Carbon, 5 mg of Magnesium and 8 mg of Sulfur.

Formulate this problem in the Linear Programming Form.

0.15x1 + 0.10x2 ≤ 2 0.50x1 + 0.55x2 ≤ 5 0.25x1 + 0.30x2 ≤ 8 

0.15x1 + 0.10x2 ≥ 2 0.50x1 + 0.55x2 ≥ 5 0.25x1 + 0.30x2 ≥ 8

0.15x1 + 0.10x2 = 2 0.50x1 + 0.55x2 = 5 0.25x1 + 0.30x2 = 8

A manufacturing unit makes 40 units of an automobile part daily. Study the above table and calculate how many more pieces need to be produced to meet the customer demand for the coming 5 days. The demand value according to random numbers is?

71: A discotheque has a single ticket-counter. During rush hours, people arrive at the rate of 50 per hour. The average number of people allowed to enter is 100 per hour. Calculate the average number of people who still have to wait in the queue for their turn.

A.   2

B.   3

C.   4

D.   1

72: Use the property of dominance to find out the value of the saddle point.

A.   6

B.   7

73: From the above table, find the basic feasible solution using the matrix minimum method.

A.   6260

B.   7260

C.   8260

D.   9260

74: From the above table, determine which alternative is the best to choose if a person is adopting the Hurwics criterion.

A.   Stock pile X and associated cost $60000

C.   Stock pile X and associated cost $30000

75: Which among the following characteristics of the game theory involves the quantitative measure of satisfaction?

A.   Chance of strategy

B.   Pay-offs

C.   Alternatives

D.   Chance of activities

76: From the above table, find the basic feasible solution using the matrix minimum method.

A.   300

B.   290

C.   350

D.   310

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Operations Research Objective Questions and Answers

Operations Research Objective Questions and Answers. Operations research MCQ with answers for the preparation competitive & academic exams.

Are you searching for Operations Research Objective Questions and Answers? If so, you have come to the right place. Here we provide a comprehensive list of questions and answers related to operations research that cover a wide range of topics.

This article aims to provide an overview of the field and help students understand the fundamentals of operations research quickly and easily. It is written with a focus on practical application as well as theoretical understanding.

Operations Research MCQs with answers

1. KAP stands for – a. Knowledge awareness practice b. Knowledge authority process c. Knowledge awareness process d. None of the following

Answer: (a)

2. It is defined as a systematic viewing of specific phenomena in their proper setting for the specific purpose of gathering data for a particular study a. Observation b. Research c. Analysis d. Scientific method

3. The ___ is a part of the phenomenon or group which is observed and he acts as both an observer and a participant. a. Researcher b. Observe c. Analyses d. None of the above

Answer: (b)

4. A ___ is the arrangement of conditions for the collection and analysis of data in a manner that aims to combine relevance to the research purpose with economy in procedure. a. Research design b. Research study c. Research model d. Both a & c

Answer: (d)

5. Research is a ___ and ___ study of an issue. a. Systematic and logical b. Arbitrary and scientific c. Verifiable and accurate d. Rational and precise

6. Who said- “Research is a systematic controlled, empirical and critical investigation of hypothetical propositions about the presumed relations among natural phenomena.” a. Young b. Kerlinger c. Porter d. None of the above

7. Scientific Method implies- a. Systematic step-by-step procedure following the logical processes of reasoning. b. Means for gaining knowledge of the universe c. It doesn’t refer to a specific subject of matter d. All of the above

8. Research simply stands for: a. Search for facts b. Answers to questions c. Solutions to problems d. All of the above

9. Research is for- a. To find explanations to unexplained phenomenon b. To clarify the doubtful facts c. To correct the misconceived facts d. All of the above

10. Good research design reduces the was the tag of ___ and ___ a. Time, cost b. All resources c. Manpower, time d. Time, data

11. Stratification process involves three major decisions, stratification bases, ___ and ___ a. Number, sizes b. State sample sizes number of strata c. Both a & b d. All of the above

12. It is a two-way systematic conversation between an investigator and an informant, initiated for obtaining information relevant to a specific study. a. Research b. Interview c. Interviewing d. Observation

Answer: (c)

13. When a sufficient number of qualified interviewers are available, ___ is feasible a. Personal interview b. Individual interview c. Group interview d. None of the above

14. This type of interview is used for large-scale formalized surveys. a. None-directed interview b. Focused interview c. Structured interview d. Depth interview

15. This interviewing is more useful in case studies rather than surveys. a. Unstructured b. Non-directive interview c. Both a and b d. Focused interview

16. The ___ interview permits the interviewer to obtain details of personal reactions, specific emotions, and the like. a. Focused b. Clinical c. Depth d. Structured

17. Social casework, prison administration, psychiatric clinics, etc. are the most common types of ___ interview. a. Focused b. Clinical c. Depth d. Structured

18. This requires much more training on interpersonal skills. a. Depth interview b. Structured interview c. Clinical interview d. Focused interview

19. Information furnished by the respondent in the interview is recorded by the: a. Interviewer b. Investigator c. Observer d. Researcher

20. Interview is an ___ process a. Interactive b. Interaction c. Dealing d. Communicating

21. The investigator should plan the ___ for dealing with various situations of respondents. a. Methods b. Procedure c. Strategies d. Cases

22. Before starting the research interview, the interviewer should establish a ___ also called a friendly relationship with the respondent. a. Report b. Relationship c. Image d. Goodwill

23. ___ distinguishes five principal symptoms of inadequate response. a. Blummar b. Kahn and Cannel c. Taylor d. Doan John

24. ___ reduces the effective sample size and its representativeness. a. Inaccessibility b. Refusal c. Non-responses d. All of the above

25. A ___ is defined as a method of collecting primary data in which a number of individuals with a common interest interact with each other. a. Group interview b. Group discussion c. Both a and b d. None

26. A part of the population is known as ___. a. Sampling b. Sample c. Model d. All of the above

27. Sampling has opted when the amount of money budgeted is ___ then the anticipated cost of census survey. a. Smaller b. Larger c. Equal to d. None

28. ___ is the primary reason for using sampling by academic and marketing researchers. a. Staff b. Access to computer facilities c. Time limit d. Population element

29. ___ only allows measurability kind of computation, where the research objective requires statistical inference. a. Probability samples b. Geographical area c. Size and nature of the population d. Time limit

30. ___ plays an important role in the selection of a topic for research. a. Moral values b. Ethical values c. Personal values d. All

31. ___ shapes the preference of investigators in a subtle and imperceptible way. a. Family conditions b. National conditions c. Economic conditions d. Social conditions

32. A ___ is some difficulty experienced by the researcher in a theoretical or practical situation a. Problem b. Desire c. Situation d. Research

33. Solving the difficulty is the task of ___ a. Problem-solving b. Research c. Selection of alternatives d. None of the above

34. ___ is the factual observations that other observers can see and check. a. Accuracy b. Verifiable evidence c. Precision d. Objectivity

35. The selection of a problem is the ___ in research. a. First step b. Last step c. subject matter d. All of the above

36. ___ an imaginative insight plays an important role in choosing the problem a. Opinion b. Vision c. Guidance d. All of the above

37. A research design is the program that guides the investigator in the process of ___ observations. a. Collecting b. Analyzing c. Interpreting d. All of the above

38. Sampling helps in ___ and ___ saving a. Accuracy, precision b. Size, profit c. Time, cost d. None of the above

39. For a good research design, ___ the effect of extraneous variables a. Maximize b. Minimize c. Reduce d. Raised

40. The term ___ is used in experimental research to reflect the restrain in experimental conditions. a. Variable b. Experiment c. Control d. Hypothesis

41. A research design is a ___ and ___ prepared for directing a research study. a. Logical & systematic plan b. Conceived & analysis c. Innovative, constructive d. None of the above

42. Research design constitutes the blueprint for the collection, ___, and ___ of data a. Analyzing, interpreting b. Measurement, analysis c. Measurement, techniques d. None of the above

43. The qualitative phenomena may also b quantified in terms of the ___ or ___ of the attribute considered. a. Positive or negative b. Presence or absence c. Stable or continuous d. None of the above

44. ___ is a group exposed to usual conditions in experimental hypothesis-testing research, whereas ___ is the group that is exposed to a new or special conditions. a. Control group, the experimental group b. Control unit, experiment unit c. Both a & b d. None of the above

45. Research extends knowledge of human beings, ___, and ___. a. Social life, environment b. Social life, professional life c. Internal and external environment d. None of the above

46. Two main approaches to research are a. Qualitative and quantitative b. Subjective and objective c. Reliable and verifiable d. All of the above

47. “Katz” conceptualizes two levels of exploratory studies: First Level – Discovery of significant variable in the situation Second Level – Discovery of relationships between variables

a. True b. False c. Can’t say d. Non

48. Pure research is also known as ___ and exploratory research is a child as ___. a. Basic research and fact-finding method b. Basic or fundamental research and formulating research c. Problem-oriented and action-directed d. All of the above

49. Researchable problems require evaluation of alternatives against ___ and ___ Criteria a. Internal and external b. Interest and competence c. Feasibility and facility d. None of the above

50. ___ is the degree to which bias is absent, whereas ___ is measured by the standard error. a. Precision, size b. Accuracy size c. Probability, precision d. Size, accuracy

Operations Research is a fascinating and complex field of study that requires a great deal of expertise and knowledge. We hope this article has provided you with a better understanding of the subject, as well as some helpful practice questions and answers.

With the right guidance and dedication, operations research can be an incredibly rewarding pursuit. As you continue to learn more about operations research, don’t forget to apply what you’ve learned in practice!

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Operations Research Questions and Answers – MCQ Quiz

Operations Research  Online Quiz Following  quiz  provides Multiple Choice  Questions (MCQs) related to OS . You will have to read all the given answers and click on the view answer option.

These HTML online test quizzes on Operations Research have answers available with pdf, which is very useful in interviews and also in HTML subject exams.

Question 1: Operations Research approach is?

(A) multi-disciplinary

(B) scientific

(C) intuitive

(D) collect essential data

Question 2: Operation research approach is typically based on the use of ___________.

(A) physical model

(B) mathematical model

(C) iconic model

(D) descriptive model

Question 3: Mathematical model of linear programming problem is important because ___________.

(A) it helps in converting the verbal description and numerical data into a mathematical expression

(B) decision-makers prefer to work with formal models

(C) it captures the relevant relationship among decision factors

(D) it enables the use of algebraic technique

Question 4: In Program Evaluation Review Technique for an activity, the optimistic time 2, the pessimistic time is 12 and most likely time is 4. What is the expected time?

Question 5: Graphical method of linear programming is useful when the number of decision variable are __________.

(D) infinite

Question 6: A feasible solution to a linear programming problem _______________.

(A) must satisfy all the constraints of the problem simultaneously

(B) need not satisfy all of the constraints, only some of them

(C) must be a corner point of the feasible region.

(D) must optimize the value of the objective function

Question 7: Utilization factor is also known as ___________.

(A) Traffic intensity

(B) Kendals notation

(C) Row minima method

(D) Unbalanced assignment problem

Question 8: While solving a linear programming problem infeasibility may be removed by _________.

(A) adding another constraint

(B) adding another variable

(C) removing a constraint

(D) removing a variable

Question 9: In the optimal simplex table, Zj-Cj=0 value indicates _____________.

(A) alternative solution

(B) bounded solution

(C) infeasible solution

(D) unbounded solution

Question 10: If all aij values in the entering variable column of the simplex table are negative, then ___________.

(A) there are multiple solutions

(B) there exist no solution

(C) solution is degenerate

(D) solution is unbounded

Question 11: If an artificial variable is present in the basic variable column of optimal simplex table, then the solution is ___________.

(A) alternative

(B) bounded

(C) no solution

(D) infeasible

Question 12: For any primal problem and its dual ______________.

(A) optimal value of objective function is same

(B) primal will have an optimal solution if dual does too

(C) both primal and dual cannot be infeasible

(D) dual will have an optimal solution if primal does too

Question 13: Principle of complementary slackness states that ____________.

(A) primal slack*dual main=0

(B) primal main+dual slack=0

(C) primal main+dual surplus=0

(D) dual slack*primal main not equal to zero

Question 14: If primal linear programming problem has a finite solution, then dual linear programming problem should have ____________.

(A) finite solution

(B) infinite solution

(C) bounded solution

(D) alternative solution

Question 15: The initial solution of a transportation problem can be obtained by applying any known method. However, the only condition is that __________.

(A) the solution be optimal

(B) the rim conditions are satisfied

(C) the solution not be degenerate

(D) the few allocations become negative

Question 16: The dummy source or destination in a transportation problem is added to ______________.

(A) satisfy rim conditions

(B) prevent solution from becoming degenerate

(C) ensure that total cost does not exceed a limit

(D) the solution not be degenerate

Question 17: Which of the following methods is used to verify the optimality of the current solution of the transportation problem ____________.

(A) Modified Distribution Method

(B) Least Cost Method

(C) Vogels Approximation Method

(D) North West Corner Rule

Question 18: An optimal assignment requires that the maximum number of lines which can be drawn through squares with zero opportunity cost be equal to the number of ________.

(A) rows or coloumns

(B) rows and coloumns

(C) rows+columns- 1

(D) rows-columns

Question 19: Maximization assignment problem is transformed into a minimization problem by _____________.

(A) adding each entry in a column from the maximum value in that column

(B) subtracting each entry in a column from the maximum value in that column

(C) subtracting each entry in the table from the maximum value in that table

(D) adding each entry in the table from the maximum value in that table

Question 20: To proceed with the MODI algorithm for solving an assignment problem, the number of dummy allocations need to be added are ___________.

Question 21: An artificial variable leaves the basis means, there is no chance for the ________ variable to enter once again.

(B) surplus

(C) artificial

Question 22: Simplex method was designed by ___________.

(A) Dantzig

(B) A.Charnes

(D) Hungarian

Question 23: Dual Simplex Method was introduced by ____________.

Question 24: 4. The cell with allocation can be called ___________ .

(B) Empty cell

(C) Basic cell

(D) Non-basic cell

Question 25: The cell without allocation is called __________.

(A) Basic cell

(B) Non-basic cell

(C) Empty cell

(D) Basic solution

Question 26: Service mechanism in a queuing system is characterized by _____________.

(A) customers behavior

(B) servers behavior

(C) customers in the system

(D) server in the system

Question 27: . The problem of replacement is felt when job performing units fail _______________.

(A) suddenly and gradually

(B) gradually

(C) suddenly

(D) neither gradually nor suddenly

Question 28: Least Cost Method is also known as __________.

(A) North West Corner Method

(B) Matrix Minima Method

(C) Row Minima method

(D) Coloumn Minima method

Question 29: The objective of network analysis is to ___________.

(A) minimize total project duration

(B) minimize total project cost

(C) minimize production delays, interruption, and conflicts

(D) maximize total project duration

Question 30: A activity in a network diagram is said to be __________ if the delay in its start will further delay the project completion time.

(A) forward pass

(B) backward pass

(C) critical

(D) non critical