675 + Mcqs in Operations Research Page 3 McqOptions

101.	What have been constructed for Operations Research problems and methods for solving themodels that are available in many cases?
A.	Scientific Models
B.	Algorithms
C.	Mathematical Models
D.	None of the above
Answer» D. None of the above

Discussion

102.	Currently, LPP is used in solving a wide range of practical ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
A.	Business problems
B.	Agricultural problems
C.	Manufacturing problems
D.	None of the above
Answer» B. Agricultural problems

Discussion

103.	In ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ models there is risk and uncertainty
A.	Deterministic Models
B.	Probabilistic Models
C.	Both A and B
D.	None of the above
Answer» C. Both A and B

Discussion

104.	According to transportation problem number of basic cells will be exactly ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
A.	m+n‐0
B.	n+m‐1
C.	m+n‐1
D.	None of the above
Answer» D. None of the above

Discussion

105.	Linear Programming technique is used to allocate scarce resources in an optimum manner inproblems of ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ ?
A.	Schedule
B.	Product Mix
C.	Both A and B
D.	Servicing Cost
Answer» D. Servicing Cost

Discussion

106.	In ‐‐‐‐‐‐‐‐‐‐‐ models, everything is defined and the results are certain,
A.	Deterministic Models
B.	Probabilistic Models
C.	Both A and B
D.	None of the above
Answer» B. Probabilistic Models

Discussion

107.	The operations Research technique, specially used to determine the optimum strategy is
A.	Decision Theory
B.	Simulation
C.	Game Theory
D.	None of the above
Answer» C. Game Theory

Discussion

108.	‐‐‐‐‐‐‐‐‐‐‐‐ is another method to solve a given LPP involving some artificial variable ?
A.	Big M method
B.	Method of penalties
C.	Two‐phase simplex method
D.	None of the above
Answer» D. None of the above

Discussion

109.	Simple linear programming problem with ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ variables can be easily solved bythe graphical method.
A.	One decision
B.	Four decisions
C.	Three decisions
D.	Two decisions
Answer» E.

Discussion

110.	Process refers to the combination of ‐‐‐‐‐‐‐‐‐‐‐‐ inputs to produce a particular output.
A.	one or more
B.	two or more
C.	one
D.	None of the above
Answer» B. two or more

Discussion

111.	How many methods are there to solve LPP?
A.	Three
B.	Two
C.	Four
D.	None of the above
Answer» C. Four

Discussion

112.	Please state which statement is true.(i) All linear programming problems may not have unique solutions(ii) The artificial variable technique is not a device that does not get the starting basic feasible solution.
A.	Both (i) and( ii)
B.	(ii) only
C.	(i) only
D.	Both are incorrect
Answer» D. Both are incorrect

Discussion

113.	All the constraints are expressed as equations and the right hand side of each constraint andall variables are non‐negative is called ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
A.	Canonical variable
B.	Canonical form
C.	Canonical solution
D.	Both A and B
Answer» C. Canonical solution

Discussion

114.	The world ‘Linear’ means that the relationships are represented by ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
A.	Diagonal lines
B.	Curved lines
C.	Straight lines
D.	Slanting lines
Answer» D. Slanting lines

Discussion

115.	Which theory concerns making sound decisions under conditions of certainity, risk anduncertainty
A.	Game Theory
B.	Network Analysis
C.	Decision Theory
D.	None of the above
Answer» D. None of the above

Discussion

116.	Please state which statement is true.(i) All linear programming problems may not have unique solutions (ii) The artificial variable technique is not a device that does not get the starting basic feasible solution.
A.	Both (i) and( ii)
B.	(ii) only
C.	(i) only
D.	Both are incorrect
Answer» D. Both are incorrect

Discussion

117.	Operations Research emphasizes on the overall approach to the system. This charecteristics ofOperations Research is often referred as
A.	System Orientation
B.	System Approach
C.	Interdisciplinary Team Approach
D.	none
Answer» E.

Discussion

118.	An objective function which states the determinants of the quantity to be either maximized orminimized is called ‐‐‐‐‐‐‐‐‐‐‐‐‐‐
A.	Feasible function
B.	Optimal function
C.	Criterion function
D.	None of the above
Answer» D. None of the above

Discussion

119.	There is a great scope for ‐‐‐‐‐‐‐‐‐‐‐‐ working as a team to solve problems of defence by using theOperations Research approach
A.	Economists
B.	Administrators
C.	Statisticians and Technicians
D.	All of the above
Answer» E.

Discussion

120.	What is also defined as the non‐negative variables which are added in the LHS of the constraintto convert the inequality ‘< ‘ into an equation?
A.	Slack variables
B.	Simplex algorithm
C.	Key element
D.	None of the above
Answer» B. Simplex algorithm

Discussion

121.	The world ‘ programming’ means taking decisions ‐‐‐‐‐‐‐‐‐‐‐‐‐
A.	Systematically
B.	Rapidly
C.	Slowly
D.	Instantly
Answer» B. Rapidly

Discussion

122.	Any set of non‐negative allocations (Xij>0) which satisfies the raw and column sum(rim requirement )is called a ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
A.	Linear programming
B.	Basic feasible solution
C.	Feasible solution
D.	None of the above
Answer» D. None of the above

Discussion

123.	The term Operations Research was coined in the year ‐‐‐‐‐‐‐‐‐‐‐‐‐‐
A.	1950
B.	1940
C.	1978
D.	1960
Answer» C. 1978

Discussion

124.	‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ models assumes that the values of the variables do not change with time duringa particular period
A.	Static Models
B.	Dynamic Models
C.	Both A and B
D.	None of the above
Answer» B. Dynamic Models

Discussion

125.	The variables whose coefficient vectors are unit vectors are called ‐‐‐‐‐‐‐‐‐‐‐‐
A.	Unit Variables
B.	Basic Variables
C.	Non basic Variables
D.	None of the above
Answer» C. Non basic Variables

Discussion

126.	Before starting to solve the problem, it should be balanced. If not then make it balanced by ‐‐‐‐‐‐‐‐‐‐‐ column incase demand is less than supply or by adding ‐‐‐‐‐‐‐‐‐‐‐‐ raw incase supply is less than the demand
A.	O,D
B.	m,n
C.	Horizontal, Vertical
D.	Unshipped supply, Shortage
Answer» E.

Discussion

127.	What do we apply in order to determine the optimum solution ?
A.	LPP
B.	VAM
C.	MODI Method
D.	None of the above
Answer» D. None of the above

Discussion

128.	Any set of non‐negative allocations (Xij>0) which satisfies the raw and column sum (rimrequirement )is called a ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
A.	Linear programming
B.	Basic feasible solution
C.	Feasible solution
D.	None of the above
Answer» D. None of the above

Discussion

129.	Any feasible solution to a transportation problem containing m origins and n destinationsis said to be ‐‐‐‐‐‐‐‐‐‐‐‐‐
A.	Independent
B.	Degenerate
C.	Non‐degenerate
D.	Both A and B
Answer» D. Both A and B

Discussion

130.	Operations Research (OR) , which is a very powerful tool for ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
A.	Research
B.	Decision – Making
C.	Operations
D.	None of the above
Answer» C. Operations

Discussion

131.	In LPP, degeneracy occurs in ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ stages
A.	One
B.	Two
C.	Three
D.	Four
Answer» C. Three

Discussion

132.	This method of formal calculations often termed as Linear Programming was developed later inwhich year?
A.	1947
B.	1988
C.	1957
D.	1944
Answer» B. 1988

Discussion

133.	VAM stands for ‐‐‐‐‐‐‐‐‐‐‐‐‐
A.	Vogeal’s Approximation Method
B.	Vogel’s Approximate Method
C.	Vangel’s Approximation Method
D.	Vogel’s Approximation Method
Answer» E.

Discussion

134.	If there are more than one optimum solution for the decision variable the solution is ‐‐‐‐‐‐‐‐‐‐‐‐‐‐
A.	Infeasible
B.	Unbounded
C.	Alternative
D.	None of the above
Answer» D. None of the above

Discussion

135.	Who defined Operations Research as an aid for the executive in marketing his decisions byproviding him with the quantitative information based on the scientific method of analysis
A.	C. Kitte
B.	H.M. Wagner
C.	E.L. Arnoff
D.	None of the above
Answer» B. H.M. Wagner

Discussion

136.	Operations Research emphasizes on the overall approach to the system. This charecteristics of Operations Research is often referred as
A.	System Orientation
B.	System Approach
C.	Interdisciplinary Team Approach
D.	none
Answer» E.

Discussion

137.	Operations Research uses models to help the management to determine its ‐‐‐‐‐‐‐‐‐‐‐scientifically
A.	Policies
B.	Actions
C.	Both A and B
D.	None of the above
Answer» D. None of the above

Discussion

138.	The operations Research technique which helps in minimizing total waiting and service costs is
A.	Queuing Theory
B.	Decision Theory
C.	Both A and B
D.	None of the above
Answer» B. Decision Theory

Discussion

139.	Linear programming has been successfully applied in ‐‐‐‐‐‐‐‐‐‐‐
A.	Agricultural
B.	Industrial applications
C.	Both A and B
D.	Manufacturing
Answer» D. Manufacturing

Discussion

140.	‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ are expressed is n the form of inequities or equations
A.	Constraints
B.	Objective Functions
C.	Both A and B
D.	None of the above
Answer» B. Objective Functions

Discussion

141.	One can find the initial basic feasible solution by using ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ ?
A.	VAM
B.	MODI
C.	Optimality test
D.	None of the above
Answer» B. MODI

Discussion

142.	Operations Research cannot give perfect ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ to problems
A.	Answers
B.	Solutions
C.	Both A and B
D.	Decisions
Answer» D. Decisions

Discussion

143.	A ‐‐‐‐‐‐‐‐‐ has rows / column having non‐ basic cells for holding compensating (+ )or (‐) sign.
A.	Cycle
B.	Dead – end
C.	Back track
D.	None of the above
Answer» B. Dead – end

Discussion

144.	Allocation Models are ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
A.	Iconic models
B.	Analogue Models
C.	Symbolic Models
D.	None of the above
Answer» D. None of the above

Discussion

145.	A ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ models considers time as one of the important variable
A.	Static Models
B.	Dynamic Models
C.	Both A and B
D.	None of the above
Answer» C. Both A and B

Discussion

146.	What is concerned with the prediction of replacement costs and determination of the mosteconomic replacement policy ?
A.	Search Theory
B.	Theory of replacement
C.	Probabilistic Programming
D.	None of the above
Answer» C. Probabilistic Programming

Discussion

147.	For solving an assignment problem, which method is used?
A.	Hungarian
B.	American
C.	German
D.	Both are incorrect
Answer» B. American

Discussion

148.	‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ are called mathematical models
A.	Iconic Models
B.	Analogue Models
C.	Symbolic Models
D.	None of the above
Answer» D. None of the above

Discussion

149.	A non – degenerate basic feasible solution is the basic feasible solution which has exactly mpositive Xi (i=1,2,…,m), i.e., none of the basic variable is ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
A.	Infinity
B.	One
C.	Zero
D.	X
Answer» D. X

Discussion

150.	What enables us to determine the earliest and the latest times for each of the events andactivities and thereby helps in the identification of the critical path?
A.	Programme Evaluation
B.	Review Technique (PERT)
C.	Both A and B
D.	Deployment of resources
Answer» D. Deployment of resources

Discussion

Explore topic-wise MCQs in General Management.

What have been constructed for Operations Research problems and methods for solving themodels that are available in many cases?

Currently, LPP is used in solving a wide range of practical ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐

In ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ models there is risk and uncertainty

According to transportation problem number of basic cells will be exactly ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐

Linear Programming technique is used to allocate scarce resources in an optimum manner inproblems of ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ ?

In ‐‐‐‐‐‐‐‐‐‐‐ models, everything is defined and the results are certain,

The operations Research technique, specially used to determine the optimum strategy is

‐‐‐‐‐‐‐‐‐‐‐‐ is another method to solve a given LPP involving some artificial variable ?

Simple linear programming problem with ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ variables can be easily solved bythe graphical method.

Process refers to the combination of ‐‐‐‐‐‐‐‐‐‐‐‐ inputs to produce a particular output.

How many methods are there to solve LPP?

Please state which statement is true.(i) All linear programming problems may not have unique solutions(ii) The artificial variable technique is not a device that does not get the starting basic feasible solution.

All the constraints are expressed as equations and the right hand side of each constraint andall variables are non‐negative is called ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐

The world ‘Linear’ means that the relationships are represented by ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐

Which theory concerns making sound decisions under conditions of certainity, risk anduncertainty

Please state which statement is true.(i) All linear programming problems may not have unique solutions (ii) The artificial variable technique is not a device that does not get the starting basic feasible solution.

Operations Research emphasizes on the overall approach to the system. This charecteristics ofOperations Research is often referred as

An objective function which states the determinants of the quantity to be either maximized orminimized is called ‐‐‐‐‐‐‐‐‐‐‐‐‐‐

There is a great scope for ‐‐‐‐‐‐‐‐‐‐‐‐ working as a team to solve problems of defence by using theOperations Research approach

What is also defined as the non‐negative variables which are added in the LHS of the constraintto convert the inequality ‘< ‘ into an equation?

The world ‘ programming’ means taking decisions ‐‐‐‐‐‐‐‐‐‐‐‐‐

Any set of non‐negative allocations (Xij>0) which satisfies the raw and column sum(rim requirement )is called a ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐

The term Operations Research was coined in the year ‐‐‐‐‐‐‐‐‐‐‐‐‐‐

‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ models assumes that the values of the variables do not change with time duringa particular period

The variables whose coefficient vectors are unit vectors are called ‐‐‐‐‐‐‐‐‐‐‐‐

Before starting to solve the problem, it should be balanced. If not then make it balanced by ‐‐‐‐‐‐‐‐‐‐‐ column incase demand is less than supply or by adding ‐‐‐‐‐‐‐‐‐‐‐‐ raw incase supply is less than the demand

What do we apply in order to determine the optimum solution ?

Any set of non‐negative allocations (Xij>0) which satisfies the raw and column sum (rimrequirement )is called a ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐

Any feasible solution to a transportation problem containing m origins and n destinationsis said to be ‐‐‐‐‐‐‐‐‐‐‐‐‐

Operations Research (OR) , which is a very powerful tool for ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐

In LPP, degeneracy occurs in ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ stages

This method of formal calculations often termed as Linear Programming was developed later inwhich year?

VAM stands for ‐‐‐‐‐‐‐‐‐‐‐‐‐

If there are more than one optimum solution for the decision variable the solution is ‐‐‐‐‐‐‐‐‐‐‐‐‐‐

Who defined Operations Research as an aid for the executive in marketing his decisions byproviding him with the quantitative information based on the scientific method of analysis

Operations Research emphasizes on the overall approach to the system. This charecteristics of Operations Research is often referred as

Operations Research uses models to help the management to determine its ‐‐‐‐‐‐‐‐‐‐‐scientifically

The operations Research technique which helps in minimizing total waiting and service costs is

Linear programming has been successfully applied in ‐‐‐‐‐‐‐‐‐‐‐

‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ are expressed is n the form of inequities or equations

One can find the initial basic feasible solution by using ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ ?

Operations Research cannot give perfect ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ to problems

A ‐‐‐‐‐‐‐‐‐ has rows / column having non‐ basic cells for holding compensating (+ )or (‐) sign.

Allocation Models are ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐

A ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ models considers time as one of the important variable

What is concerned with the prediction of replacement costs and determination of the mosteconomic replacement policy ?

For solving an assignment problem, which method is used?

‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ are called mathematical models

A non – degenerate basic feasible solution is the basic feasible solution which has exactly mpositive Xi (i=1,2,…,m), i.e., none of the basic variable is ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐

What enables us to determine the earliest and the latest times for each of the events andactivities and thereby helps in the identification of the critical path?