OR bits

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UNIT -5 1) One of the important basic objectives of Inventory Management is (a).To calculate EOQ for all materials in the organisation (b).To go in person to the market and purchase the materials (c).To employ the available capital efficiency so as to yield maximum results (d).Once materials are issued to the department, personally check how they are used 2) The best way of improving the productivity of capital is (a). Purchase automatic machines (b).Effective labour control (c).To use good financial management (d).Productivity of capital is to be increased through effective materials management 3) In general, the percentage of materials cost in product is approximately equal to (a). 40% to 50% (b). 5% to 10% (c). 2% to 3% (d). 90% to 95% 4) The basis for ABC analysis is (a). Interests of Materials manager (b).Interests of the top management (c). Pareto’s 80-20 rule (d).None of the above 5) ABC analysis depends on the (a). Quality of materials (b). Cost of Materials (c). Quantity of materials used (d). Annual consumption value of materials 6) Insurance charges of materials cost fall under (a). Ordewring cost (b). Inventrory carrying cost

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Transcript of OR bits

Page 1: OR bits

UNIT -5

1) One of the important basic objectives of Inventory Management is (a)To calculate EOQ for all materials in the organisation(b)To go in person to the market and purchase the materials(c)To employ the available capital efficiency so as to yield maximum results(d)Once materials are issued to the department personally check how they are used

2) The best way of improving the productivity of capital is (a) Purchase automatic machines (b)Effective labour control(c)To use good financial management(d)Productivity of capital is to be increased through effective materials management

3) In general the percentage of materials cost in product is approximately equal to (a) 40 to 50 (b) 5 to 10(c) 2 to 3 (d) 90 to 95

4) The basis for ABC analysis is (a) Interests of Materials manager (b)Interests of the top management(c) Paretorsquos 80-20 rule (d)None of the above

5) ABC analysis depends on the(a) Quality of materials (b) Cost of Materials(c) Quantity of materials used (d) Annual consumption value of materials

6) Insurance charges of materials cost fall under(a) Ordewring cost (b) Inventrory carrying cost(c) Stock out cost (d) Procurement cost

7) The rent for the stores where materials are stored falls under(a) Inventory carrying cost (b) Ordering cost(c) Procurement cost (d) Stocking cost

8) As the order quality increases this will reduce(a) Ordering cost (b) Insurance cost(c) Inventory carrying cost (d) Stock out cost

9) Procurement cost may be clubbed with (a) Inventory carrying charges (b) Stock out cost(c) Loss due to deterioration (d) Ordering cost

10) MRP stands for (a) Material Requirement Planning (b) Material Reordering Planning

(c)Material Requisition Procedure (d) Material Recording Procedure

11) LOB stands for(a) Lot of bills (b) Line of batches(c) Lot of batches (d) Line of balance

12) The lead time is the time(a) To place order for materials (b) Of receiving materials(c) Between receipt of material and using of material(d) Between placing the order and receiving the materials

13) At EOQ(a) Annual purchasing cost=Annual ordering cost(b) Annual ordering cost=Annual carrying cost(c) Annual carrying cost=Annual shortage cost(d) Annual shortage cost=Annual purchase cost

14) If shortage cost is infinity(a) No shortages are allowed (b) No inventory carrying cost is allowed(c) Ordering cost is allowed (d) Purchase cost=Carrying cost

15) The most suitable system for a retail shop is(a) FSN analysis (b) ABC analysis (c) VED analysis (d) GOLF analysis

16) The most suitable inventory system for apetrol bunk is(a) P-system (b) 2 Bin system (c) Q-system (d) Probabilistic model

17) Which of the following increases with quantity ordered per order(a) Carrying cost (b) Ordering cost (c) Purchase cost (d) Demand

18) The ordering cost per order and average unit carrying cost are constant and demand suddenly falls by 75 then EOQ will be(a) Decrease by 50 (b) Not change(c) Increase by 50 (d) Decrease by 40

19) The inventory maintained to meet unknown demand changes is known as(a) Pipe line inventory (b) Anticipatory inventory(c) Decoupling inventory (d) Fluctuatory inventory

20) Reusable spares are known as(a) Multi use spares (b) Repeated usable spares(c) Scarp materials (d) Rotable spares

UNIT-6

1) In MMS NFIFO the following does not apply(a) Poisson arrival (b) Limited service(c) Exponential service (d) Single service

2) The dead bodies coming to a burial ground is an example of(a) Pure birth process (b) Pure death process(c) Birth and Death process (d) Constant rate of arrival

3) The system of loading and unloading of goods usually follows(a) LIFO (b) FIFO (c) SIORO (d) SBP

4) As per queue discipline the following is not a negative behaviour of customer(a) Balking (b) Reneging (c) Boarding (d) Collusion

5) If the operating characteristics of a queue are dependent on time then it is said to be(a) Transient state (b) Busy state(c) Steady state (d) Explosive state

6) The unit of traffic intensity is(a) Poisson (b) Markow (c) Erlang (d) Kendall

7) The queue discipline is stack of plates is (a) SIRO (b) Non-pre-emptive (c) FIFO (d) LIFO

8) ArrivalrarrServicerarrServicerarrServicerarrOutThis figure given represents(a) Single channel single phase system(b) Multi channel single phase system(c) Single channel multi phase system(d) Multi channel multi phase system

9) In queue designation ABS (df) what does s represent(a) Arrival pattern (b) Service pattern(c) Number of service channels (d) Capacity of the system

10) When the operating characteristics of the queue system is dependent on time then it is said to be(a) Steady state (b) Explosive state (c) Transient state (d) Any one of above

11) The expediting or follow up function in production control is an example of

(a) LIFO (b) FIFO (c) SIRO (d) Preemptive

12) A steady state exists in a queue if(a) 1048577 gt μ (b) 1048577 lt μ (c) 1048577 = μ (d) 1048577 = μ

13) In (M M 1) (infin FCFS) model the length of the system Ls is given by(a) p21p (b) p1ndash 1048577 (c) 1048577 2(μ ndash 1048577 ) (d) 1048577 2μ(μ ndash 1048577 )

14) In (MM1) (1048577 FIFO) model 1(μ ndash 1048577 ) represents(a) Ls Length of the system (b) Lq length of the queue(c) Wq Waiting time in queue (d) Ws Waiting time in system

15) Office filing system follows(a) LIFO (b) FIFO (c) SIRO (d) SBP

16) SIRO discipline is generally found in(a) Loading and unloading(b) Office filing(c) Lottery draw(d) Train arrivals at platform

17) The designation of Poisson arrival Exponential service single server and limited queueselected randomly are represented by(a) (MES) ( O SIRO) (b) (MM1) (OSIRO)(c) (MMS) (NSIRO) (d) (MM1) ( NSIRO)

18) Queuing models measure the effect of(a) Random arrivals(b) Random service(c) Effect of uncertainty on the behaviour of the queuing system(d) Length of queue

19) A service system where customer is stationary and server is moving is found with(a) Buffet Meals(b) Outpatient at a clinic(c) Person attending the breakdowns of heavy machines(d) Vehicle at petrol bunk

20) If the number of arrivals during a given time period is independent of the number of arrivals that have already occurred prior to the beginning of time interval then the new arrivals follow ----------- distribution

(a) Erlang (b) Poisson (c) Exponential (d) Normal

UNIT-8

1) ____________ constitutes the simulation languages(a) GPSS (B) SIMSCRIPT(c) DYNAMO (d) All the above

2) A statistical technique used to simulate the real world situations(a) Queuing (b) Simulation(c) LPP (d) None of the above

3) The types of simulation where reality is represented in physical form(a) Computer generated (b) Discrete simulation(c) Analog simulation (d) deterministic

4) Simulation is applied in(a) Capital budgeting (b) Queuing(c) Inventory (d) All the above

5) __________ is a method of simulation where in the experiments are conducted continuously with known probability distribution(a) Discrete (b) Monte Carlo (c) Pseudo random numbers(d) None of the above

6) Operations Research is the outcome of(a) National emergency (b) Political problems(c) Combined efforts of talents of all fields (d) Economics and Engineering

7) OR came into existence during(a) World War I (b) India and Pakistan War(c) World War II (d) None of the above

8) The name of the subject Operations Research is due to the fact that(a) Problems can be solved by war approach(b) The researchers do the operations(c) The war problems are generally known as operations and inventing a new way of solving such problems(d) Mathematical operations are used in solving the problems

9) The first country to use Operations Research method to solve problems is (a) India (b) China (c) UK (d) USA

10) The name Operations Research is first coined in the year(a) 1945 (b) 1935 c) 1940 (d) 1950

11) The person who coined the name Operations Research is(a) Bellman (b) Newman(c) McClosky and Trefrhen (d) None of the above

12) OR Society of India is founded in the year(a) 1965 (b) 1970 (c) 1959 (d) 1972

13) The objective of Operations Research is(a) To find new methods of solving Problems(b) To derive formulas(c) Optimal utilization of existing resources(d) To utilize the services of scientists

14) Operations Research is the art of giving(a) Good answers for war problems(b) Bad answers to war problems(c) Bad answers to problems where otherwise worse answers are given(d) Good answers to problems where otherwise bad answers are given

15) Operations Research is(a) Independent thinking approach (b) Group thinking approach(c) Inter-disciplinary team approach (d) None of the above

16) The first step in solving Operations Research problem is(a) Model building (b) Obtain alternate solutions(c) Obtain basic feasible solutions (d) Formulation of the problem

17) The model which gives physical or visual representation of the problem is(a) Analogue model (b) Static model (c) Iconic model (d) Symbolic model

18) One of the properties of OR model is(a) Model should be complicated(b) Model is structured to suit OR techniques(c) Model should be structured to suit all the problems we come across(d) Model should be easy to derive

19) The problem which is used to disburse the available limited resources to activities is known as(a) OR Model (b) Resources Model (c) Allocation Model (d) Activities model

20) A wide class of allocation models can be solved by a mathematical technique known (a) Classical model (b) Mathematical Model(c) Descriptive model (d) Linear Programming model

UNIT-7

1) Number of possible alternatives or decisions that exist at each stage are known as(a) State variables (b) Decision variables(c) Stage variables (d) None of the above

2) The return function of dynamic programming model depends on(a) Alternatives (b) States(c) Stages (d) All the above

3) A stage in a DPP represents(a) Status of the system at a particular state(b) Number of decision alternatives(c) Different time periods in planning period(d) All the above

4) Each point in the problem where a decision is taken is known as(a) State (b) Stage (c) Alternatives (d) Variables

5) ____________ is a systematic complete enumeration technique(a) Dynamic programming (b) Integer programming(c) Decision programming (d) Variable programming

6) Dynamic programming is a ________________ which divides the problem into subproblems(a) Enumeration technique (b) Optimization technique(c) Transition technique (d) None of the above

7) At stage i the highest or lowest value of recursive function for given value X is called as(a) Best recursive function value (b) Best decision value(c) Best integer function value (d) All the above

8) In backward recursive function the problem proceeds in(a) Forward direction (b) Backward direction(c) Both A amp B (d) All the above

9) In capital budgeting problem the total revenue of the organisation is(a) Minimised (b) Maximised (c) Not changed (d) None of the above

10) The number at the intersection of key row and key column is known as(a) Column number (b) Row number(c) Key number (d) Cross number

11) Dual of a Duel is(a) Primal (b) Dual (c) Prima dual (d) None of the above

12) Primal of a Primal is (a) Primal (b) Dual (c) Prima primal (d) duo primal

13) Dual of a Dual of Dual is(a) Dual (b) Primal (c) Double dual (d) Single dual

14) Primal of a dual is(a) Primal (b) Dual (c) Prime dual (d) Prime primal

15) If Dual has a solution then the primal will(a) Not have a solution (b) Have only basic feasible solution(c) Have a solution (d) None of the above

16) If Primal Problem is a maximisation problem then the dual will be(a) Maximisation Problem (b) Minimisation Problem(c) Mixed Problem (d) None of the above

17)To get the Replacement ration column elements we have to(a) Divide Profit column elements by key number(b) The first column elements of identity is divided by key number(d) Divide the capacity column elements by key number

18) The cost coefficient of slack variable is(a) Zero (b) One (c) gt than one (d) lt than one

19) The cost coefficient of artificial surplus variable is(a) 0 (b) 1 (c) M (d) gt than 1

20) If the primal has an unbounded solution then the dual has(a) Optimal solution (b) No solution(c) Bound solution (d) None of the above

ANSWERS

UNIT-5 C D A C D B A A D A D D B B A C A C D D

UNIT-6 D A A C A C D C A C D C B C AC D C C B

UNIT-7 B B C A A B A B B C A A B A A B C A C B

UNIT-8 D B C D B C C D C C C C C C D B C D D A

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(c)Material Requisition Procedure (d) Material Recording Procedure

11) LOB stands for(a) Lot of bills (b) Line of batches(c) Lot of batches (d) Line of balance

12) The lead time is the time(a) To place order for materials (b) Of receiving materials(c) Between receipt of material and using of material(d) Between placing the order and receiving the materials

13) At EOQ(a) Annual purchasing cost=Annual ordering cost(b) Annual ordering cost=Annual carrying cost(c) Annual carrying cost=Annual shortage cost(d) Annual shortage cost=Annual purchase cost

14) If shortage cost is infinity(a) No shortages are allowed (b) No inventory carrying cost is allowed(c) Ordering cost is allowed (d) Purchase cost=Carrying cost

15) The most suitable system for a retail shop is(a) FSN analysis (b) ABC analysis (c) VED analysis (d) GOLF analysis

16) The most suitable inventory system for apetrol bunk is(a) P-system (b) 2 Bin system (c) Q-system (d) Probabilistic model

17) Which of the following increases with quantity ordered per order(a) Carrying cost (b) Ordering cost (c) Purchase cost (d) Demand

18) The ordering cost per order and average unit carrying cost are constant and demand suddenly falls by 75 then EOQ will be(a) Decrease by 50 (b) Not change(c) Increase by 50 (d) Decrease by 40

19) The inventory maintained to meet unknown demand changes is known as(a) Pipe line inventory (b) Anticipatory inventory(c) Decoupling inventory (d) Fluctuatory inventory

20) Reusable spares are known as(a) Multi use spares (b) Repeated usable spares(c) Scarp materials (d) Rotable spares

UNIT-6

1) In MMS NFIFO the following does not apply(a) Poisson arrival (b) Limited service(c) Exponential service (d) Single service

2) The dead bodies coming to a burial ground is an example of(a) Pure birth process (b) Pure death process(c) Birth and Death process (d) Constant rate of arrival

3) The system of loading and unloading of goods usually follows(a) LIFO (b) FIFO (c) SIORO (d) SBP

4) As per queue discipline the following is not a negative behaviour of customer(a) Balking (b) Reneging (c) Boarding (d) Collusion

5) If the operating characteristics of a queue are dependent on time then it is said to be(a) Transient state (b) Busy state(c) Steady state (d) Explosive state

6) The unit of traffic intensity is(a) Poisson (b) Markow (c) Erlang (d) Kendall

7) The queue discipline is stack of plates is (a) SIRO (b) Non-pre-emptive (c) FIFO (d) LIFO

8) ArrivalrarrServicerarrServicerarrServicerarrOutThis figure given represents(a) Single channel single phase system(b) Multi channel single phase system(c) Single channel multi phase system(d) Multi channel multi phase system

9) In queue designation ABS (df) what does s represent(a) Arrival pattern (b) Service pattern(c) Number of service channels (d) Capacity of the system

10) When the operating characteristics of the queue system is dependent on time then it is said to be(a) Steady state (b) Explosive state (c) Transient state (d) Any one of above

11) The expediting or follow up function in production control is an example of

(a) LIFO (b) FIFO (c) SIRO (d) Preemptive

12) A steady state exists in a queue if(a) 1048577 gt μ (b) 1048577 lt μ (c) 1048577 = μ (d) 1048577 = μ

13) In (M M 1) (infin FCFS) model the length of the system Ls is given by(a) p21p (b) p1ndash 1048577 (c) 1048577 2(μ ndash 1048577 ) (d) 1048577 2μ(μ ndash 1048577 )

14) In (MM1) (1048577 FIFO) model 1(μ ndash 1048577 ) represents(a) Ls Length of the system (b) Lq length of the queue(c) Wq Waiting time in queue (d) Ws Waiting time in system

15) Office filing system follows(a) LIFO (b) FIFO (c) SIRO (d) SBP

16) SIRO discipline is generally found in(a) Loading and unloading(b) Office filing(c) Lottery draw(d) Train arrivals at platform

17) The designation of Poisson arrival Exponential service single server and limited queueselected randomly are represented by(a) (MES) ( O SIRO) (b) (MM1) (OSIRO)(c) (MMS) (NSIRO) (d) (MM1) ( NSIRO)

18) Queuing models measure the effect of(a) Random arrivals(b) Random service(c) Effect of uncertainty on the behaviour of the queuing system(d) Length of queue

19) A service system where customer is stationary and server is moving is found with(a) Buffet Meals(b) Outpatient at a clinic(c) Person attending the breakdowns of heavy machines(d) Vehicle at petrol bunk

20) If the number of arrivals during a given time period is independent of the number of arrivals that have already occurred prior to the beginning of time interval then the new arrivals follow ----------- distribution

(a) Erlang (b) Poisson (c) Exponential (d) Normal

UNIT-8

1) ____________ constitutes the simulation languages(a) GPSS (B) SIMSCRIPT(c) DYNAMO (d) All the above

2) A statistical technique used to simulate the real world situations(a) Queuing (b) Simulation(c) LPP (d) None of the above

3) The types of simulation where reality is represented in physical form(a) Computer generated (b) Discrete simulation(c) Analog simulation (d) deterministic

4) Simulation is applied in(a) Capital budgeting (b) Queuing(c) Inventory (d) All the above

5) __________ is a method of simulation where in the experiments are conducted continuously with known probability distribution(a) Discrete (b) Monte Carlo (c) Pseudo random numbers(d) None of the above

6) Operations Research is the outcome of(a) National emergency (b) Political problems(c) Combined efforts of talents of all fields (d) Economics and Engineering

7) OR came into existence during(a) World War I (b) India and Pakistan War(c) World War II (d) None of the above

8) The name of the subject Operations Research is due to the fact that(a) Problems can be solved by war approach(b) The researchers do the operations(c) The war problems are generally known as operations and inventing a new way of solving such problems(d) Mathematical operations are used in solving the problems

9) The first country to use Operations Research method to solve problems is (a) India (b) China (c) UK (d) USA

10) The name Operations Research is first coined in the year(a) 1945 (b) 1935 c) 1940 (d) 1950

11) The person who coined the name Operations Research is(a) Bellman (b) Newman(c) McClosky and Trefrhen (d) None of the above

12) OR Society of India is founded in the year(a) 1965 (b) 1970 (c) 1959 (d) 1972

13) The objective of Operations Research is(a) To find new methods of solving Problems(b) To derive formulas(c) Optimal utilization of existing resources(d) To utilize the services of scientists

14) Operations Research is the art of giving(a) Good answers for war problems(b) Bad answers to war problems(c) Bad answers to problems where otherwise worse answers are given(d) Good answers to problems where otherwise bad answers are given

15) Operations Research is(a) Independent thinking approach (b) Group thinking approach(c) Inter-disciplinary team approach (d) None of the above

16) The first step in solving Operations Research problem is(a) Model building (b) Obtain alternate solutions(c) Obtain basic feasible solutions (d) Formulation of the problem

17) The model which gives physical or visual representation of the problem is(a) Analogue model (b) Static model (c) Iconic model (d) Symbolic model

18) One of the properties of OR model is(a) Model should be complicated(b) Model is structured to suit OR techniques(c) Model should be structured to suit all the problems we come across(d) Model should be easy to derive

19) The problem which is used to disburse the available limited resources to activities is known as(a) OR Model (b) Resources Model (c) Allocation Model (d) Activities model

20) A wide class of allocation models can be solved by a mathematical technique known (a) Classical model (b) Mathematical Model(c) Descriptive model (d) Linear Programming model

UNIT-7

1) Number of possible alternatives or decisions that exist at each stage are known as(a) State variables (b) Decision variables(c) Stage variables (d) None of the above

2) The return function of dynamic programming model depends on(a) Alternatives (b) States(c) Stages (d) All the above

3) A stage in a DPP represents(a) Status of the system at a particular state(b) Number of decision alternatives(c) Different time periods in planning period(d) All the above

4) Each point in the problem where a decision is taken is known as(a) State (b) Stage (c) Alternatives (d) Variables

5) ____________ is a systematic complete enumeration technique(a) Dynamic programming (b) Integer programming(c) Decision programming (d) Variable programming

6) Dynamic programming is a ________________ which divides the problem into subproblems(a) Enumeration technique (b) Optimization technique(c) Transition technique (d) None of the above

7) At stage i the highest or lowest value of recursive function for given value X is called as(a) Best recursive function value (b) Best decision value(c) Best integer function value (d) All the above

8) In backward recursive function the problem proceeds in(a) Forward direction (b) Backward direction(c) Both A amp B (d) All the above

9) In capital budgeting problem the total revenue of the organisation is(a) Minimised (b) Maximised (c) Not changed (d) None of the above

10) The number at the intersection of key row and key column is known as(a) Column number (b) Row number(c) Key number (d) Cross number

11) Dual of a Duel is(a) Primal (b) Dual (c) Prima dual (d) None of the above

12) Primal of a Primal is (a) Primal (b) Dual (c) Prima primal (d) duo primal

13) Dual of a Dual of Dual is(a) Dual (b) Primal (c) Double dual (d) Single dual

14) Primal of a dual is(a) Primal (b) Dual (c) Prime dual (d) Prime primal

15) If Dual has a solution then the primal will(a) Not have a solution (b) Have only basic feasible solution(c) Have a solution (d) None of the above

16) If Primal Problem is a maximisation problem then the dual will be(a) Maximisation Problem (b) Minimisation Problem(c) Mixed Problem (d) None of the above

17)To get the Replacement ration column elements we have to(a) Divide Profit column elements by key number(b) The first column elements of identity is divided by key number(d) Divide the capacity column elements by key number

18) The cost coefficient of slack variable is(a) Zero (b) One (c) gt than one (d) lt than one

19) The cost coefficient of artificial surplus variable is(a) 0 (b) 1 (c) M (d) gt than 1

20) If the primal has an unbounded solution then the dual has(a) Optimal solution (b) No solution(c) Bound solution (d) None of the above

ANSWERS

UNIT-5 C D A C D B A A D A D D B B A C A C D D

UNIT-6 D A A C A C D C A C D C B C AC D C C B

UNIT-7 B B C A A B A B B C A A B A A B C A C B

UNIT-8 D B C D B C C D C C C C C C D B C D D A

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UNIT-6

1) In MMS NFIFO the following does not apply(a) Poisson arrival (b) Limited service(c) Exponential service (d) Single service

2) The dead bodies coming to a burial ground is an example of(a) Pure birth process (b) Pure death process(c) Birth and Death process (d) Constant rate of arrival

3) The system of loading and unloading of goods usually follows(a) LIFO (b) FIFO (c) SIORO (d) SBP

4) As per queue discipline the following is not a negative behaviour of customer(a) Balking (b) Reneging (c) Boarding (d) Collusion

5) If the operating characteristics of a queue are dependent on time then it is said to be(a) Transient state (b) Busy state(c) Steady state (d) Explosive state

6) The unit of traffic intensity is(a) Poisson (b) Markow (c) Erlang (d) Kendall

7) The queue discipline is stack of plates is (a) SIRO (b) Non-pre-emptive (c) FIFO (d) LIFO

8) ArrivalrarrServicerarrServicerarrServicerarrOutThis figure given represents(a) Single channel single phase system(b) Multi channel single phase system(c) Single channel multi phase system(d) Multi channel multi phase system

9) In queue designation ABS (df) what does s represent(a) Arrival pattern (b) Service pattern(c) Number of service channels (d) Capacity of the system

10) When the operating characteristics of the queue system is dependent on time then it is said to be(a) Steady state (b) Explosive state (c) Transient state (d) Any one of above

11) The expediting or follow up function in production control is an example of

(a) LIFO (b) FIFO (c) SIRO (d) Preemptive

12) A steady state exists in a queue if(a) 1048577 gt μ (b) 1048577 lt μ (c) 1048577 = μ (d) 1048577 = μ

13) In (M M 1) (infin FCFS) model the length of the system Ls is given by(a) p21p (b) p1ndash 1048577 (c) 1048577 2(μ ndash 1048577 ) (d) 1048577 2μ(μ ndash 1048577 )

14) In (MM1) (1048577 FIFO) model 1(μ ndash 1048577 ) represents(a) Ls Length of the system (b) Lq length of the queue(c) Wq Waiting time in queue (d) Ws Waiting time in system

15) Office filing system follows(a) LIFO (b) FIFO (c) SIRO (d) SBP

16) SIRO discipline is generally found in(a) Loading and unloading(b) Office filing(c) Lottery draw(d) Train arrivals at platform

17) The designation of Poisson arrival Exponential service single server and limited queueselected randomly are represented by(a) (MES) ( O SIRO) (b) (MM1) (OSIRO)(c) (MMS) (NSIRO) (d) (MM1) ( NSIRO)

18) Queuing models measure the effect of(a) Random arrivals(b) Random service(c) Effect of uncertainty on the behaviour of the queuing system(d) Length of queue

19) A service system where customer is stationary and server is moving is found with(a) Buffet Meals(b) Outpatient at a clinic(c) Person attending the breakdowns of heavy machines(d) Vehicle at petrol bunk

20) If the number of arrivals during a given time period is independent of the number of arrivals that have already occurred prior to the beginning of time interval then the new arrivals follow ----------- distribution

(a) Erlang (b) Poisson (c) Exponential (d) Normal

UNIT-8

1) ____________ constitutes the simulation languages(a) GPSS (B) SIMSCRIPT(c) DYNAMO (d) All the above

2) A statistical technique used to simulate the real world situations(a) Queuing (b) Simulation(c) LPP (d) None of the above

3) The types of simulation where reality is represented in physical form(a) Computer generated (b) Discrete simulation(c) Analog simulation (d) deterministic

4) Simulation is applied in(a) Capital budgeting (b) Queuing(c) Inventory (d) All the above

5) __________ is a method of simulation where in the experiments are conducted continuously with known probability distribution(a) Discrete (b) Monte Carlo (c) Pseudo random numbers(d) None of the above

6) Operations Research is the outcome of(a) National emergency (b) Political problems(c) Combined efforts of talents of all fields (d) Economics and Engineering

7) OR came into existence during(a) World War I (b) India and Pakistan War(c) World War II (d) None of the above

8) The name of the subject Operations Research is due to the fact that(a) Problems can be solved by war approach(b) The researchers do the operations(c) The war problems are generally known as operations and inventing a new way of solving such problems(d) Mathematical operations are used in solving the problems

9) The first country to use Operations Research method to solve problems is (a) India (b) China (c) UK (d) USA

10) The name Operations Research is first coined in the year(a) 1945 (b) 1935 c) 1940 (d) 1950

11) The person who coined the name Operations Research is(a) Bellman (b) Newman(c) McClosky and Trefrhen (d) None of the above

12) OR Society of India is founded in the year(a) 1965 (b) 1970 (c) 1959 (d) 1972

13) The objective of Operations Research is(a) To find new methods of solving Problems(b) To derive formulas(c) Optimal utilization of existing resources(d) To utilize the services of scientists

14) Operations Research is the art of giving(a) Good answers for war problems(b) Bad answers to war problems(c) Bad answers to problems where otherwise worse answers are given(d) Good answers to problems where otherwise bad answers are given

15) Operations Research is(a) Independent thinking approach (b) Group thinking approach(c) Inter-disciplinary team approach (d) None of the above

16) The first step in solving Operations Research problem is(a) Model building (b) Obtain alternate solutions(c) Obtain basic feasible solutions (d) Formulation of the problem

17) The model which gives physical or visual representation of the problem is(a) Analogue model (b) Static model (c) Iconic model (d) Symbolic model

18) One of the properties of OR model is(a) Model should be complicated(b) Model is structured to suit OR techniques(c) Model should be structured to suit all the problems we come across(d) Model should be easy to derive

19) The problem which is used to disburse the available limited resources to activities is known as(a) OR Model (b) Resources Model (c) Allocation Model (d) Activities model

20) A wide class of allocation models can be solved by a mathematical technique known (a) Classical model (b) Mathematical Model(c) Descriptive model (d) Linear Programming model

UNIT-7

1) Number of possible alternatives or decisions that exist at each stage are known as(a) State variables (b) Decision variables(c) Stage variables (d) None of the above

2) The return function of dynamic programming model depends on(a) Alternatives (b) States(c) Stages (d) All the above

3) A stage in a DPP represents(a) Status of the system at a particular state(b) Number of decision alternatives(c) Different time periods in planning period(d) All the above

4) Each point in the problem where a decision is taken is known as(a) State (b) Stage (c) Alternatives (d) Variables

5) ____________ is a systematic complete enumeration technique(a) Dynamic programming (b) Integer programming(c) Decision programming (d) Variable programming

6) Dynamic programming is a ________________ which divides the problem into subproblems(a) Enumeration technique (b) Optimization technique(c) Transition technique (d) None of the above

7) At stage i the highest or lowest value of recursive function for given value X is called as(a) Best recursive function value (b) Best decision value(c) Best integer function value (d) All the above

8) In backward recursive function the problem proceeds in(a) Forward direction (b) Backward direction(c) Both A amp B (d) All the above

9) In capital budgeting problem the total revenue of the organisation is(a) Minimised (b) Maximised (c) Not changed (d) None of the above

10) The number at the intersection of key row and key column is known as(a) Column number (b) Row number(c) Key number (d) Cross number

11) Dual of a Duel is(a) Primal (b) Dual (c) Prima dual (d) None of the above

12) Primal of a Primal is (a) Primal (b) Dual (c) Prima primal (d) duo primal

13) Dual of a Dual of Dual is(a) Dual (b) Primal (c) Double dual (d) Single dual

14) Primal of a dual is(a) Primal (b) Dual (c) Prime dual (d) Prime primal

15) If Dual has a solution then the primal will(a) Not have a solution (b) Have only basic feasible solution(c) Have a solution (d) None of the above

16) If Primal Problem is a maximisation problem then the dual will be(a) Maximisation Problem (b) Minimisation Problem(c) Mixed Problem (d) None of the above

17)To get the Replacement ration column elements we have to(a) Divide Profit column elements by key number(b) The first column elements of identity is divided by key number(d) Divide the capacity column elements by key number

18) The cost coefficient of slack variable is(a) Zero (b) One (c) gt than one (d) lt than one

19) The cost coefficient of artificial surplus variable is(a) 0 (b) 1 (c) M (d) gt than 1

20) If the primal has an unbounded solution then the dual has(a) Optimal solution (b) No solution(c) Bound solution (d) None of the above

ANSWERS

UNIT-5 C D A C D B A A D A D D B B A C A C D D

UNIT-6 D A A C A C D C A C D C B C AC D C C B

UNIT-7 B B C A A B A B B C A A B A A B C A C B

UNIT-8 D B C D B C C D C C C C C C D B C D D A

Page 4: OR bits

12) A steady state exists in a queue if(a) 1048577 gt μ (b) 1048577 lt μ (c) 1048577 = μ (d) 1048577 = μ

13) In (M M 1) (infin FCFS) model the length of the system Ls is given by(a) p21p (b) p1ndash 1048577 (c) 1048577 2(μ ndash 1048577 ) (d) 1048577 2μ(μ ndash 1048577 )

14) In (MM1) (1048577 FIFO) model 1(μ ndash 1048577 ) represents(a) Ls Length of the system (b) Lq length of the queue(c) Wq Waiting time in queue (d) Ws Waiting time in system

15) Office filing system follows(a) LIFO (b) FIFO (c) SIRO (d) SBP

16) SIRO discipline is generally found in(a) Loading and unloading(b) Office filing(c) Lottery draw(d) Train arrivals at platform

17) The designation of Poisson arrival Exponential service single server and limited queueselected randomly are represented by(a) (MES) ( O SIRO) (b) (MM1) (OSIRO)(c) (MMS) (NSIRO) (d) (MM1) ( NSIRO)

18) Queuing models measure the effect of(a) Random arrivals(b) Random service(c) Effect of uncertainty on the behaviour of the queuing system(d) Length of queue

19) A service system where customer is stationary and server is moving is found with(a) Buffet Meals(b) Outpatient at a clinic(c) Person attending the breakdowns of heavy machines(d) Vehicle at petrol bunk

20) If the number of arrivals during a given time period is independent of the number of arrivals that have already occurred prior to the beginning of time interval then the new arrivals follow ----------- distribution

(a) Erlang (b) Poisson (c) Exponential (d) Normal

UNIT-8

1) ____________ constitutes the simulation languages(a) GPSS (B) SIMSCRIPT(c) DYNAMO (d) All the above

2) A statistical technique used to simulate the real world situations(a) Queuing (b) Simulation(c) LPP (d) None of the above

3) The types of simulation where reality is represented in physical form(a) Computer generated (b) Discrete simulation(c) Analog simulation (d) deterministic

4) Simulation is applied in(a) Capital budgeting (b) Queuing(c) Inventory (d) All the above

5) __________ is a method of simulation where in the experiments are conducted continuously with known probability distribution(a) Discrete (b) Monte Carlo (c) Pseudo random numbers(d) None of the above

6) Operations Research is the outcome of(a) National emergency (b) Political problems(c) Combined efforts of talents of all fields (d) Economics and Engineering

7) OR came into existence during(a) World War I (b) India and Pakistan War(c) World War II (d) None of the above

8) The name of the subject Operations Research is due to the fact that(a) Problems can be solved by war approach(b) The researchers do the operations(c) The war problems are generally known as operations and inventing a new way of solving such problems(d) Mathematical operations are used in solving the problems

9) The first country to use Operations Research method to solve problems is (a) India (b) China (c) UK (d) USA

10) The name Operations Research is first coined in the year(a) 1945 (b) 1935 c) 1940 (d) 1950

11) The person who coined the name Operations Research is(a) Bellman (b) Newman(c) McClosky and Trefrhen (d) None of the above

12) OR Society of India is founded in the year(a) 1965 (b) 1970 (c) 1959 (d) 1972

13) The objective of Operations Research is(a) To find new methods of solving Problems(b) To derive formulas(c) Optimal utilization of existing resources(d) To utilize the services of scientists

14) Operations Research is the art of giving(a) Good answers for war problems(b) Bad answers to war problems(c) Bad answers to problems where otherwise worse answers are given(d) Good answers to problems where otherwise bad answers are given

15) Operations Research is(a) Independent thinking approach (b) Group thinking approach(c) Inter-disciplinary team approach (d) None of the above

16) The first step in solving Operations Research problem is(a) Model building (b) Obtain alternate solutions(c) Obtain basic feasible solutions (d) Formulation of the problem

17) The model which gives physical or visual representation of the problem is(a) Analogue model (b) Static model (c) Iconic model (d) Symbolic model

18) One of the properties of OR model is(a) Model should be complicated(b) Model is structured to suit OR techniques(c) Model should be structured to suit all the problems we come across(d) Model should be easy to derive

19) The problem which is used to disburse the available limited resources to activities is known as(a) OR Model (b) Resources Model (c) Allocation Model (d) Activities model

20) A wide class of allocation models can be solved by a mathematical technique known (a) Classical model (b) Mathematical Model(c) Descriptive model (d) Linear Programming model

UNIT-7

1) Number of possible alternatives or decisions that exist at each stage are known as(a) State variables (b) Decision variables(c) Stage variables (d) None of the above

2) The return function of dynamic programming model depends on(a) Alternatives (b) States(c) Stages (d) All the above

3) A stage in a DPP represents(a) Status of the system at a particular state(b) Number of decision alternatives(c) Different time periods in planning period(d) All the above

4) Each point in the problem where a decision is taken is known as(a) State (b) Stage (c) Alternatives (d) Variables

5) ____________ is a systematic complete enumeration technique(a) Dynamic programming (b) Integer programming(c) Decision programming (d) Variable programming

6) Dynamic programming is a ________________ which divides the problem into subproblems(a) Enumeration technique (b) Optimization technique(c) Transition technique (d) None of the above

7) At stage i the highest or lowest value of recursive function for given value X is called as(a) Best recursive function value (b) Best decision value(c) Best integer function value (d) All the above

8) In backward recursive function the problem proceeds in(a) Forward direction (b) Backward direction(c) Both A amp B (d) All the above

9) In capital budgeting problem the total revenue of the organisation is(a) Minimised (b) Maximised (c) Not changed (d) None of the above

10) The number at the intersection of key row and key column is known as(a) Column number (b) Row number(c) Key number (d) Cross number

11) Dual of a Duel is(a) Primal (b) Dual (c) Prima dual (d) None of the above

12) Primal of a Primal is (a) Primal (b) Dual (c) Prima primal (d) duo primal

13) Dual of a Dual of Dual is(a) Dual (b) Primal (c) Double dual (d) Single dual

14) Primal of a dual is(a) Primal (b) Dual (c) Prime dual (d) Prime primal

15) If Dual has a solution then the primal will(a) Not have a solution (b) Have only basic feasible solution(c) Have a solution (d) None of the above

16) If Primal Problem is a maximisation problem then the dual will be(a) Maximisation Problem (b) Minimisation Problem(c) Mixed Problem (d) None of the above

17)To get the Replacement ration column elements we have to(a) Divide Profit column elements by key number(b) The first column elements of identity is divided by key number(d) Divide the capacity column elements by key number

18) The cost coefficient of slack variable is(a) Zero (b) One (c) gt than one (d) lt than one

19) The cost coefficient of artificial surplus variable is(a) 0 (b) 1 (c) M (d) gt than 1

20) If the primal has an unbounded solution then the dual has(a) Optimal solution (b) No solution(c) Bound solution (d) None of the above

ANSWERS

UNIT-5 C D A C D B A A D A D D B B A C A C D D

UNIT-6 D A A C A C D C A C D C B C AC D C C B

UNIT-7 B B C A A B A B B C A A B A A B C A C B

UNIT-8 D B C D B C C D C C C C C C D B C D D A

Page 5: OR bits

UNIT-8

1) ____________ constitutes the simulation languages(a) GPSS (B) SIMSCRIPT(c) DYNAMO (d) All the above

2) A statistical technique used to simulate the real world situations(a) Queuing (b) Simulation(c) LPP (d) None of the above

3) The types of simulation where reality is represented in physical form(a) Computer generated (b) Discrete simulation(c) Analog simulation (d) deterministic

4) Simulation is applied in(a) Capital budgeting (b) Queuing(c) Inventory (d) All the above

5) __________ is a method of simulation where in the experiments are conducted continuously with known probability distribution(a) Discrete (b) Monte Carlo (c) Pseudo random numbers(d) None of the above

6) Operations Research is the outcome of(a) National emergency (b) Political problems(c) Combined efforts of talents of all fields (d) Economics and Engineering

7) OR came into existence during(a) World War I (b) India and Pakistan War(c) World War II (d) None of the above

8) The name of the subject Operations Research is due to the fact that(a) Problems can be solved by war approach(b) The researchers do the operations(c) The war problems are generally known as operations and inventing a new way of solving such problems(d) Mathematical operations are used in solving the problems

9) The first country to use Operations Research method to solve problems is (a) India (b) China (c) UK (d) USA

10) The name Operations Research is first coined in the year(a) 1945 (b) 1935 c) 1940 (d) 1950

11) The person who coined the name Operations Research is(a) Bellman (b) Newman(c) McClosky and Trefrhen (d) None of the above

12) OR Society of India is founded in the year(a) 1965 (b) 1970 (c) 1959 (d) 1972

13) The objective of Operations Research is(a) To find new methods of solving Problems(b) To derive formulas(c) Optimal utilization of existing resources(d) To utilize the services of scientists

14) Operations Research is the art of giving(a) Good answers for war problems(b) Bad answers to war problems(c) Bad answers to problems where otherwise worse answers are given(d) Good answers to problems where otherwise bad answers are given

15) Operations Research is(a) Independent thinking approach (b) Group thinking approach(c) Inter-disciplinary team approach (d) None of the above

16) The first step in solving Operations Research problem is(a) Model building (b) Obtain alternate solutions(c) Obtain basic feasible solutions (d) Formulation of the problem

17) The model which gives physical or visual representation of the problem is(a) Analogue model (b) Static model (c) Iconic model (d) Symbolic model

18) One of the properties of OR model is(a) Model should be complicated(b) Model is structured to suit OR techniques(c) Model should be structured to suit all the problems we come across(d) Model should be easy to derive

19) The problem which is used to disburse the available limited resources to activities is known as(a) OR Model (b) Resources Model (c) Allocation Model (d) Activities model

20) A wide class of allocation models can be solved by a mathematical technique known (a) Classical model (b) Mathematical Model(c) Descriptive model (d) Linear Programming model

UNIT-7

1) Number of possible alternatives or decisions that exist at each stage are known as(a) State variables (b) Decision variables(c) Stage variables (d) None of the above

2) The return function of dynamic programming model depends on(a) Alternatives (b) States(c) Stages (d) All the above

3) A stage in a DPP represents(a) Status of the system at a particular state(b) Number of decision alternatives(c) Different time periods in planning period(d) All the above

4) Each point in the problem where a decision is taken is known as(a) State (b) Stage (c) Alternatives (d) Variables

5) ____________ is a systematic complete enumeration technique(a) Dynamic programming (b) Integer programming(c) Decision programming (d) Variable programming

6) Dynamic programming is a ________________ which divides the problem into subproblems(a) Enumeration technique (b) Optimization technique(c) Transition technique (d) None of the above

7) At stage i the highest or lowest value of recursive function for given value X is called as(a) Best recursive function value (b) Best decision value(c) Best integer function value (d) All the above

8) In backward recursive function the problem proceeds in(a) Forward direction (b) Backward direction(c) Both A amp B (d) All the above

9) In capital budgeting problem the total revenue of the organisation is(a) Minimised (b) Maximised (c) Not changed (d) None of the above

10) The number at the intersection of key row and key column is known as(a) Column number (b) Row number(c) Key number (d) Cross number

11) Dual of a Duel is(a) Primal (b) Dual (c) Prima dual (d) None of the above

12) Primal of a Primal is (a) Primal (b) Dual (c) Prima primal (d) duo primal

13) Dual of a Dual of Dual is(a) Dual (b) Primal (c) Double dual (d) Single dual

14) Primal of a dual is(a) Primal (b) Dual (c) Prime dual (d) Prime primal

15) If Dual has a solution then the primal will(a) Not have a solution (b) Have only basic feasible solution(c) Have a solution (d) None of the above

16) If Primal Problem is a maximisation problem then the dual will be(a) Maximisation Problem (b) Minimisation Problem(c) Mixed Problem (d) None of the above

17)To get the Replacement ration column elements we have to(a) Divide Profit column elements by key number(b) The first column elements of identity is divided by key number(d) Divide the capacity column elements by key number

18) The cost coefficient of slack variable is(a) Zero (b) One (c) gt than one (d) lt than one

19) The cost coefficient of artificial surplus variable is(a) 0 (b) 1 (c) M (d) gt than 1

20) If the primal has an unbounded solution then the dual has(a) Optimal solution (b) No solution(c) Bound solution (d) None of the above

ANSWERS

UNIT-5 C D A C D B A A D A D D B B A C A C D D

UNIT-6 D A A C A C D C A C D C B C AC D C C B

UNIT-7 B B C A A B A B B C A A B A A B C A C B

UNIT-8 D B C D B C C D C C C C C C D B C D D A

Page 6: OR bits

12) OR Society of India is founded in the year(a) 1965 (b) 1970 (c) 1959 (d) 1972

13) The objective of Operations Research is(a) To find new methods of solving Problems(b) To derive formulas(c) Optimal utilization of existing resources(d) To utilize the services of scientists

14) Operations Research is the art of giving(a) Good answers for war problems(b) Bad answers to war problems(c) Bad answers to problems where otherwise worse answers are given(d) Good answers to problems where otherwise bad answers are given

15) Operations Research is(a) Independent thinking approach (b) Group thinking approach(c) Inter-disciplinary team approach (d) None of the above

16) The first step in solving Operations Research problem is(a) Model building (b) Obtain alternate solutions(c) Obtain basic feasible solutions (d) Formulation of the problem

17) The model which gives physical or visual representation of the problem is(a) Analogue model (b) Static model (c) Iconic model (d) Symbolic model

18) One of the properties of OR model is(a) Model should be complicated(b) Model is structured to suit OR techniques(c) Model should be structured to suit all the problems we come across(d) Model should be easy to derive

19) The problem which is used to disburse the available limited resources to activities is known as(a) OR Model (b) Resources Model (c) Allocation Model (d) Activities model

20) A wide class of allocation models can be solved by a mathematical technique known (a) Classical model (b) Mathematical Model(c) Descriptive model (d) Linear Programming model

UNIT-7

1) Number of possible alternatives or decisions that exist at each stage are known as(a) State variables (b) Decision variables(c) Stage variables (d) None of the above

2) The return function of dynamic programming model depends on(a) Alternatives (b) States(c) Stages (d) All the above

3) A stage in a DPP represents(a) Status of the system at a particular state(b) Number of decision alternatives(c) Different time periods in planning period(d) All the above

4) Each point in the problem where a decision is taken is known as(a) State (b) Stage (c) Alternatives (d) Variables

5) ____________ is a systematic complete enumeration technique(a) Dynamic programming (b) Integer programming(c) Decision programming (d) Variable programming

6) Dynamic programming is a ________________ which divides the problem into subproblems(a) Enumeration technique (b) Optimization technique(c) Transition technique (d) None of the above

7) At stage i the highest or lowest value of recursive function for given value X is called as(a) Best recursive function value (b) Best decision value(c) Best integer function value (d) All the above

8) In backward recursive function the problem proceeds in(a) Forward direction (b) Backward direction(c) Both A amp B (d) All the above

9) In capital budgeting problem the total revenue of the organisation is(a) Minimised (b) Maximised (c) Not changed (d) None of the above

10) The number at the intersection of key row and key column is known as(a) Column number (b) Row number(c) Key number (d) Cross number

11) Dual of a Duel is(a) Primal (b) Dual (c) Prima dual (d) None of the above

12) Primal of a Primal is (a) Primal (b) Dual (c) Prima primal (d) duo primal

13) Dual of a Dual of Dual is(a) Dual (b) Primal (c) Double dual (d) Single dual

14) Primal of a dual is(a) Primal (b) Dual (c) Prime dual (d) Prime primal

15) If Dual has a solution then the primal will(a) Not have a solution (b) Have only basic feasible solution(c) Have a solution (d) None of the above

16) If Primal Problem is a maximisation problem then the dual will be(a) Maximisation Problem (b) Minimisation Problem(c) Mixed Problem (d) None of the above

17)To get the Replacement ration column elements we have to(a) Divide Profit column elements by key number(b) The first column elements of identity is divided by key number(d) Divide the capacity column elements by key number

18) The cost coefficient of slack variable is(a) Zero (b) One (c) gt than one (d) lt than one

19) The cost coefficient of artificial surplus variable is(a) 0 (b) 1 (c) M (d) gt than 1

20) If the primal has an unbounded solution then the dual has(a) Optimal solution (b) No solution(c) Bound solution (d) None of the above

ANSWERS

UNIT-5 C D A C D B A A D A D D B B A C A C D D

UNIT-6 D A A C A C D C A C D C B C AC D C C B

UNIT-7 B B C A A B A B B C A A B A A B C A C B

UNIT-8 D B C D B C C D C C C C C C D B C D D A

Page 7: OR bits

UNIT-7

1) Number of possible alternatives or decisions that exist at each stage are known as(a) State variables (b) Decision variables(c) Stage variables (d) None of the above

2) The return function of dynamic programming model depends on(a) Alternatives (b) States(c) Stages (d) All the above

3) A stage in a DPP represents(a) Status of the system at a particular state(b) Number of decision alternatives(c) Different time periods in planning period(d) All the above

4) Each point in the problem where a decision is taken is known as(a) State (b) Stage (c) Alternatives (d) Variables

5) ____________ is a systematic complete enumeration technique(a) Dynamic programming (b) Integer programming(c) Decision programming (d) Variable programming

6) Dynamic programming is a ________________ which divides the problem into subproblems(a) Enumeration technique (b) Optimization technique(c) Transition technique (d) None of the above

7) At stage i the highest or lowest value of recursive function for given value X is called as(a) Best recursive function value (b) Best decision value(c) Best integer function value (d) All the above

8) In backward recursive function the problem proceeds in(a) Forward direction (b) Backward direction(c) Both A amp B (d) All the above

9) In capital budgeting problem the total revenue of the organisation is(a) Minimised (b) Maximised (c) Not changed (d) None of the above

10) The number at the intersection of key row and key column is known as(a) Column number (b) Row number(c) Key number (d) Cross number

11) Dual of a Duel is(a) Primal (b) Dual (c) Prima dual (d) None of the above

12) Primal of a Primal is (a) Primal (b) Dual (c) Prima primal (d) duo primal

13) Dual of a Dual of Dual is(a) Dual (b) Primal (c) Double dual (d) Single dual

14) Primal of a dual is(a) Primal (b) Dual (c) Prime dual (d) Prime primal

15) If Dual has a solution then the primal will(a) Not have a solution (b) Have only basic feasible solution(c) Have a solution (d) None of the above

16) If Primal Problem is a maximisation problem then the dual will be(a) Maximisation Problem (b) Minimisation Problem(c) Mixed Problem (d) None of the above

17)To get the Replacement ration column elements we have to(a) Divide Profit column elements by key number(b) The first column elements of identity is divided by key number(d) Divide the capacity column elements by key number

18) The cost coefficient of slack variable is(a) Zero (b) One (c) gt than one (d) lt than one

19) The cost coefficient of artificial surplus variable is(a) 0 (b) 1 (c) M (d) gt than 1

20) If the primal has an unbounded solution then the dual has(a) Optimal solution (b) No solution(c) Bound solution (d) None of the above

ANSWERS

UNIT-5 C D A C D B A A D A D D B B A C A C D D

UNIT-6 D A A C A C D C A C D C B C AC D C C B

UNIT-7 B B C A A B A B B C A A B A A B C A C B

UNIT-8 D B C D B C C D C C C C C C D B C D D A

Page 8: OR bits

13) Dual of a Dual of Dual is(a) Dual (b) Primal (c) Double dual (d) Single dual

14) Primal of a dual is(a) Primal (b) Dual (c) Prime dual (d) Prime primal

15) If Dual has a solution then the primal will(a) Not have a solution (b) Have only basic feasible solution(c) Have a solution (d) None of the above

16) If Primal Problem is a maximisation problem then the dual will be(a) Maximisation Problem (b) Minimisation Problem(c) Mixed Problem (d) None of the above

17)To get the Replacement ration column elements we have to(a) Divide Profit column elements by key number(b) The first column elements of identity is divided by key number(d) Divide the capacity column elements by key number

18) The cost coefficient of slack variable is(a) Zero (b) One (c) gt than one (d) lt than one

19) The cost coefficient of artificial surplus variable is(a) 0 (b) 1 (c) M (d) gt than 1

20) If the primal has an unbounded solution then the dual has(a) Optimal solution (b) No solution(c) Bound solution (d) None of the above

ANSWERS

UNIT-5 C D A C D B A A D A D D B B A C A C D D

UNIT-6 D A A C A C D C A C D C B C AC D C C B

UNIT-7 B B C A A B A B B C A A B A A B C A C B

UNIT-8 D B C D B C C D C C C C C C D B C D D A

Page 9: OR bits