Test answers for Operations Research Test

73 NOT Answered Yet Test Questions:

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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.

Answers:

• 1

• 2

• 0.5

• 1.5

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

Answers:

• Decision under conflict

• Decision under risk

• Decision under uncertainty

• Decision under certainty

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

Answers:

• Not stating the objectives mathematically

• Measuring the resources in the form of numbers only

• Having one solution to be evaluated

• 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:

Answers:

• stepping stone squares

• stone squares

• water squares

• 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.

Answers:

• 2.2 minutes

• 3.2 minutes

• 4.2 minutes

• 5.2 minutes

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

Answers:

• Alternative X

• Alternative Y

• 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.

Answers:

• After the 5th year of service

• After the 4th year of service

• After the 3rd year of service

• 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.

Answers:

• 0.1

• 0.3

• 0.5

• 0.7

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

Answers:

• Stock pile X and associated cost 0

• Do not stock pile Y and associated cost $30000

• Stock pile X and associated cost $10000

• 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.

Answers:

• Stock pile X and associated cost $30000

• Do not stock pile Y and associated cost $90000

• Stock pile X and associated cost $60000

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

Answers:

• 530

• 630

• 730

• 830

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

Answers:

• Deterministic models

• Stochastic models

• Static models

• 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.

Answers:

• 1/5th of an hour

• 1/8th of an hour

• 1/3rd of an hour

• 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.

Answers:

• 0.15

• 0.25

• 0.35

• 0.45

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

Answers:

• 17.8 hours

• 18.4 hours

• 19.2 hours

• 20.5 hours

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

Answers:

• 1

• 2

• 3

• 4

• 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.

Answers:

• 6489

• 5489

• 7489

• 8489

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

Answers:

• Crude oil distribution to refineries

• Production distribution

• Agricultural operations

• Military applications

• Inventory problems

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

Answers:

• Interfering float

• Independent float

• Free float

• Total float

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

Answers:

• Dummy activity

• Concurrent activity

• Successor activity

• 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.

Answers:

• 1025

• 2025

• 3025

• 4025

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

Answers:

• 5

• 2

• 3

• 4

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

Answers:

• -3 and +3

• -2 and +2

• -4 and +4

• -5 and +5

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

Answers:

• Iconic models

• Analogue models

• Descriptive models

• Predictive models

• Prescriptive models

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

Answers:

• Scheduling production

• Scheduling equipment

• Determination of equipment

• Determination of a short range technique for replacing depreciating assets

26. The Vogel's approximate method in Linear Programming is used in solving _________ problems.

Answers:

• graphical

• transportation

• marketing

• waiting time

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

Answers:

• Developing a network diagram

• Re-allocation of resources

• Estimating the duration of activities

• Resource availability

28. In Goal Programming, which of the following is not an application of optimization?

Answers:

• Component Selection

• Dynamic load sharing

• Calculus of variations

• Load allocation problems

29. 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.

Answers:

• 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

30. 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.

Answers:

• $1220

• $1320

• $1120

• $122000

31. The simulation technique must be used ________.

Answers:

• when the system's actual observation is expensive

• when the problem to handle is very small

• when the standard sensitivity analysis is easy to handle

• when it is easy to develop a mathematical model

32. From the above given table, calculate the saddle point.

Answers:

• 20

• 50

• 80

• 40

• 60

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

Answers:

• degenerate basic feasible solution

• non degenerate basic feasible solution

• optimal solution

• basic feasible solution

34. Goal Programming is used to:

Answers:

• handle a single goal with multiple goals.

• handle multiple goals with single goals.

• handle only multiple goals.

• handle only single goals.

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

Answers:

• 12

• 9

• 8

• 4

• No saddle point

36. 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?

Answers:

• 20 minutes

• 25 minutes

• 30 minutes

• 35 minutes

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

Answers:

• 20 minutes

• 22 minutes

• 24 minutes

• 26 minutes

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

Answers:

• Project cost

• Indirect cost

• Direct cost

39. Which among the following classes of decisions is related to the external environment of an organization?

Answers:

• Strategic decisions

• Administrative decisions

• Operating decisions

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

Answers:

• 13750

• 12750

• 13000

• 12000

41. Which among the following is a characteristic of Dynamic Programming?

Answers:

• Dynamic programming is a strong computational technique.

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

• Dynamic programming does not permit determining of optimal decisions.

• Dynamic Programming is a multistage decision making process.

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

Answers:

• Stock pile X and associated cost $80000

• Do not stock pile Y and associated cost $70000

• Stock pile X and associated cost $40000

• Do not stock pile Y and associated cost 0

43. 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.

Answers:

• The 1st year is the optimal replacement time.

• The 2nd year is the optimal replacement time.

• The 3rd year is the optimal replacement time.

• The 4th year is the optimal replacement time.

44. 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?

Answers:

• Balking

• Reneging

• Jockeying

• Collusion

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

Answers:

• Transient state

• Steady state

• Explosive test

46. From the above table, determine which alternative is the best to choose if a person is adopting the Wald criterion.

Answers:

• Stock pile X and associated cost $60000

• Do not stock pile Y and associated cost $50000

• Stock pile X and associated cost $30000

• Do not stock pile Y and associated cost 0

47. 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.

Answers:

• 0.33

• 0.43

• 0.53

• 0.63

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

Answers:

• 25/7

• 30/7

• 7/25

• 7/30

49. 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.

Answers:

• 0.0027

• 0.002

• 0.0057

• 0.0037

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

Answers:

• 0.1

• 0.2

• 0.3

• 0.4

51. 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.

Answers:

• 30-50

• 40-80

• 80-55

• 55-65

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

Answers:

• Processing time

• Total elapsed time

• Idle time

• Waiting time

53. Which among the following is not an application of optimization in linear programming?

Answers:

• Component selection

• Dynamic load sharing

• Calculus of variations

• Load allocation problems

54. The Monte-Carlo simulation technique _________.

Answers:

• uses random numbers for generating data

• is used to solve stochastic situations

• uses mathematical techniques to solve all problems

• is used where physical experimentation with the actual system is possible

55. At an interview, the candidates arrive according to the Poisson distribution process with an average time of 10 minutes between each candidate's arrival. The interviewing line is exponentially distributed with a mean time of 5 minutes. On the basis of this information, calculate the average queue length.

Answers:

• 1/5

• 1/4

• 1/3

• 1/6

56. Which among the following is not an element of Linear Programming?

Answers:

• Graphical method

• Simplex method

• Queuing theory

• Differential calculus

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

Answers:

• gradual failure

• progressive failure

• retrogressive failure

• random failure

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

Answers:

• Looping error

• Dangling error

• Merging error

• Bursting error

59. _____________is not an element of Sensitivity Analysis.

Answers:

• Range

• Forecasting

• Profitability

• Insolvency

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

Answers:

• 18 days

• 19 days

• 20 days

• 21 days

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

Answers:

• 1+E = 0

• 1- E = 0

• E- E = 1

• 1+E = 1

• 1- E = 1

62. 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.

Answers:

• 30 per hour

• 10 per hour

• 2 per hour

• 0.5 per hour

63. 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.

Answers:

• 500

• 900

• 700

• 400

64. The Simplex method can solve_________________

Answers:

• equations which have equal numbers of unknowns.

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

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

65. Find the value of the above game using the principle of dominance.

Answers:

• -5

• 8

• 7

• 3

• No saddle point

66. Which among the following is not an application of Goal Programming?

Answers:

• Capital project evaluation

• Establishing sales targets

• Analyzing a multiplant scheduling process

• Improving the work conditions having highly fluctuating demands

67. In Dynamic Programming, the value of ___________ variables specifies the condition of a process.

Answers:

• state variables

• decision variables

• stage variables

68. In Non-linear Programming, non-linearity exists when:

Answers:

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

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

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

69. Which among the following methods is known as the Unit Penalty Method?

Answers:

• North west corner rule method

• Matrix minimum method

• Vogel approximation method

• Stepping stone method

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

Answers:

• A

• B

• C

• D

71. 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.

Answers:

• 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

72. 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 is according to random numbers.

Answers:

• 35

• 45

• 50

• 55

73. 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.

Answers:

• 2

• 3

• 4

• 1