Quantitative Techniques - 11

Match The Following
Question Correct Answer Your Answer
Least Cost Method Procedure of allocating Satisfies supply & demand
Dummy source or Extra row or column in a Extra row or column in a
An Initial Feasible Solution Satisfies supply & demand Mechanism of Operation
North West Corner Method Procedure of allocating Procedure of allocating

Select The Blank
Question Brown's algorithm is used to solve ________2 persons zero game
sum.
Correct Answer m x n
Your Answer m x n

Match The Following
Question Correct Answer Your Answer
MODI Method Water cells to achieve Water cells to achieve
Vogel's Approximation Avoidance of high penalty Avoidance of high penalty
Degeneracy Occupied cells are less Occupied cells are less
Stepping Stone Method Unoccupied cells to Unoccupied cells to

True/False
Question Smallest element in each row is subtracted from each element in
the column.
Correct Answer False
Your Answer True

Multiple Choice Multiple Answer
Question Terminologies of Graphical Method are :-
Correct Answer Constraints , Graph of linear equality/inequality , Half Space
Your Answer Constraints , Graph of linear equality/inequality , Half Space ,
Payoff

Multiple Choice Single Answer
Question Feasible Region is :-
Correct Answer Region defined by the Constraints & non-negative restrictions
Your Answer Region defined by the Constraints & non-negative restrictions

Select The Blank
Question The action of "Only few Customers may join Queue & some may
demand service on their behalf" is called ________
Correct Answer Collusion
Your Answer Collusion

Question Allocations are independent when it is not possible to alter any
individual allocations.
Correct Answer True
Your Answer True

Multiple Choice Multiple Answer
Question Participants of the game are :-
Correct Answer Players , Decision maker
Your Answer Players , Decision maker , Payoffs , Elements

True/False
Question A game in which algebraic sum of gains of both the players after
the play is not zero is called two person non zero sum game.
Correct Answer True
Your Answer True

Select The Blank
Question A mixed strategy 2 x 2 game is solved by ________method.
Correct Answer Algebraic
Your Answer Linear programming

True/False
Question Infeasibility is the condition in which the Linear Programming
problem permits no feasible combination of the decision variables.
Correct Answer True
Your Answer True

Multiple Choice Single Answer
Question Every combination of strategies of players determines an
outcomes called :-
Correct Answer Pay off
Your Answer Pay off

True/False
Question Value of game to player II is negative of minimax value.
Correct Answer False
Your Answer True

Multiple Choice Multiple Answer
Question In a standard minimization problem, objective is to :-
Correct Answer Minimize total time. , Minimize total cost.
Your Answer Minimize total time. , Minimize total cost. , Find alternative optimal
solution. , Allocate each task to each facility.

Multiple Choice Multiple Answer
Question Objects too can form queues as :-
Correct Answer Semi-finished job await next operation , Broken down to be
repaired , Blunt tools awaiting to be reground
Your Answer Semi-finished job await next operation , Broken down to be
repaired , Blunt tools awaiting to be reground , Finance

Select The Blank
Question The ________ is a method for deciding how to meet some
desired objective which may be profit maximisation or cost
minimization, subject to constraints on the amounts of
commodities required or resources available.
Correct Answer Linear programming
Your Answer Linear programming

Multiple Choice Multiple Answer
Question Feasible solution formula contains :-
Correct Answer m, n, 1 , m, n, 3 , n, 1, x
Your Answer m, n, 1 , m, n, 3 , n, 1, x , m, 1, p

Select The Blank
Question Team approach needs for optimal solution of ________
Decisions.
Correct Answer Adaptive
Your Answer Adaptive

Multiple Choice Single Answer
Question Transportation Tableau is :-
Correct Answer Tabular arrangement of data on demand, capacity & per unit
shipping costs bet. supply point to destination
Your Answer Tabular arrangement of data on demand, capacity & per unit
shipping costs bet. supply point to destination

Multiple Choice Multiple Answer
Question Which of the following elements are used to construct the pay off
matrix?
Correct Answer Pay off , strategies , Probabilities
Your Answer Pay off , strategies , Decision tree , Probabilities

Question Resource Management involves
Correct Answer Man , Machines , Materials
Your Answer Man , Machines , Materials , Work Orders

Multiple Choice Single Answer
Question Last Step of Graphical Method of LP is :-
Correct Answer Calculate the total profit / loss
Your Answer Calculate the total profit / loss

True/False
Question Effective improvement over the initial feasible solution is included
in MODI.
Correct Answer True
Your Answer True

True/False
Question Risk represent the probability estimate of nonoccurrence of each
outcome.
Correct Answer False
Your Answer False

Select The Blank
Question A game in which more than 2 strategies are available to both
players is called ________ game.
Correct Answer m x n
Your Answer m x 2

True/False
Question Surplus variable is a variable used to convert a Less than or equal
to constraint into equality by subtracting it from left hand side of
the constraint.
Correct Answer False
Your Answer True

Multiple Choice Single Answer
Question Extra row or column in tableau, with zero cost in each of its cells,
used to balance an unbalanced problem is :-
Correct Answer Dummy source or Destination
Your Answer Dummy source or Destination

Question Games theory can solve :-
Correct Answer Two person's game , Two persons zero sum game , Two persons
3 x 3 game
Your Answer Two person's game , N Person's game , Two persons zero sum
game , Two persons 3 x 3 game

True/False
Question Resulting payoff of optional strategies is called outcome.
Correct Answer False
Your Answer True

Select The Blank
Question A row with higher elements is called ________ row.
Correct Answer Dominating
Your Answer Major

Select The Blank
Question Constraint not affecting the feasible solution is ________.
Correct Answer Redundant Constraint
Your Answer Redundant Constraint

True/False
Question Value of the subgame related to highest point in the feasible
region is solution for 2xn game.
Correct Answer True
Your Answer True

Multiple Choice Multiple Answer
Question Special cases on simplex method are :-
Correct Answer Multiple Optimal Solution , Unbounded Solution , Infeasible
Solution
Your Answer Multiple Optimal Solution , Unbounded Solution , Infeasible
Solution , Payoffs

Select The Blank
Question The ________ represents consequences of the interactions of the
decision alternatives and the chance events.
Correct Answer Outcomes
Your Answer Outcomes

Question Number of customers in the queue plus those being serviced is
________.
Correct Answer System Length
Your Answer System Length

Multiple Choice Single Answer
Question Sequence of steps performed in moving from one basic feasible
solution to another basic feasible solution is :-
Correct Answer Iteration
Your Answer Iteration

Multiple Choice Multiple Answer
Question Terms related to LCM are :-
Correct Answer Initial feasible solution , Lowest Cost Cells , Next Lowest & so on
Your Answer Initial feasible solution , Lowest Cost Cells , Next Lowest & so on ,
Finance Distribution

Multiple Choice Multiple Answer
Question Value of game equals :-
Correct Answer Saddle points , Weighted average of possible outcomes
Your Answer Saddle points , Weighted average of possible outcomes , Zero ,
Value of any sum game

Multiple Choice Single Answer
Question Expected gain to a player I he and his opponent use their best
strategies is known as :-
Correct Answer Value of game
Your Answer Optimal strategy

Multiple Choice Multiple Answer
Question Procedural steps in LCM are :-
Correct Answer Scrutinize transport costs , Allocation as per supply & demand ,
Delete the row or column
Your Answer Scrutinize transport costs , Allocation as per supply & demand ,
Delete the row or column , Prepare a Methodological report

Multiple Choice Single Answer
Question A mixed strategy is decision of player to select :-
Correct Answer Different strategies
Your Answer Different strategies

Select The Blank
Question Comparable Past Event & Forecasting Future Events Study is
called ________
Correct Answer Probability Theory
Your Answer Probability Theory

Multiple Choice Single Answer
Question Vogel's Approximation Method (VAM) is :-
Correct Answer A systematic procedure to obtain an initial feasible solution based
on avoidance of high penalty & cost cell
Your Answer A systematic procedure to obtain an initial feasible solution based
on avoidance of high penalty & cost cell

Multiple Choice Single Answer
Question There are more than one optimal solutions to an assignment
problem when :-
Correct Answer Number of independent zeros are more than required ones.
Your Answer Number of minimum lines covering all zeros are more than
number of rows/columns

Multiple Choice Single Answer
Question In an unbalanced assignment problem :-
Correct Answer One or more facilities remain idle.
Your Answer One or more facilities remain idle.

Multiple Choice Single Answer
Question The column with the largest negative index number is :-
Correct Answer Key Column
Your Answer Key Column

Quantitative Techniques - 10

LIST OF ATTEMPTED QUESTIONS AND ANSWERS

Select The Blank
Question Decision Making under Conflict is termed as ________
Correct Answer Competitive Strategies
Your Answer Competitive Strategies
Select The Blank
Question When both the players play their optimal strategies the
resulting payoff is called ________of game.
Correct Answer Value
Your Answer Maximin

Multiple Choice Multiple Answer
Question Nomenclatures not related to Transportation Problem are :-
Correct Answer S, P, L, D , S, P, W, M , T, P, W, D
Your Answer S, P, L, D , S, P, W, M , T, P, W, D
True/False
Question Analytical decisions involve problems with limited number of
decision variables.
Correct Answer False
Your Answer True
True/False
Question Service time can be either fixed & balanced layouts or it can
be variable.
Correct Answer True
Your Answer True
Select The Blank
Question LP decide on product quantities to maximize profit is
________.
Correct Answer Product Mix Problems
Your Answer Transportation Problems
True/False
Question The graphical method is simple to understand & easy to use
Correct Answer True
Your Answer True
Multiple Choice Multiple Answer
Question Point of intersection of pure strategies is called :-
Correct Answer Value , Saddle point
Your Answer Payoff , Value , Optimal strategy
True/False
Question Sensitivity analysis can be illustrated easily by drawing the
graph of the changes
Correct Answer True
Your Answer True

Match The Following
Question Correct Answer Your Answer
Political Risks People Resistance Institution
Financial Risks ROI CAD / CAM
Technical Risks CAD / CAM People Resistance
Functional Risks HRD ROI
Select The Blank
Question In North West Corner Method, the ________ is handled
Correct Answer Procedure of allocating units to cells
Your Answer Satisfies supply & demand conditions
Multiple Choice Single Answer
Question Linear Programming deciding on product quantities to
maximize profit is called :-
Correct Answer Product Mix Problems
Your Answer Product Mix Problems
Select The Blank
Question A row with higher elements is called ________ row.
Correct Answer Dominating
Your Answer Major
Select The Blank
Question Number of customers in the queue plus those being serviced
is ________.
Correct Answer System Length
Your Answer Queue length
Multiple Choice Multiple Answer
Question In an assignment problem a machine is not capable of
performing a job & number machines are one less than
number of jobs, then the problem is :-
Correct Answer Unbalanced assignment problem. , Prohibited assignment
problem. , Minimization problem.
Your Answer Maximization problems. , Unbalanced assignment problem. ,
Prohibited assignment problem.
True/False
Question A game in which algebraic sum of gains of both the players
after the play is not zero is called two person non zero sum game.
Correct Answer True
Your Answer True
Multiple Choice Single Answer
Question Graphical method of Linear Programming is useful when a
Linear Programming problem involves :-
Correct Answer Two Variables
Your Answer Two Variables
True/False
Question Surplus variable is a variable used to convert a Less than or
equal to constraint into equality by subtracting it from left
hand side of the constraint.
Correct Answer False
Your Answer True
Multiple Choice Multiple Answer
Question Terms related to NWCM are :-
Correct Answer Initial feasible solution , Allocation of units , Upper left hand
corner
Your Answer Initial feasible solution , Allocation of units , Upper left hand
corner , Materials Distribution
True/False
Question When number of minimum lines drawn covering all zero
elements are less than number of columns/rows, more than
one optimal solution exist.
Correct Answer False
Your Answer True
Select The Blank
Question A game in which more than 2 strategies are available to both
players is called ________ game.
Correct Answer m x n
Your Answer m x 2
Multiple Choice Multiple Answer
Question Information to study an input process is :-
Correct Answer Arrival distribution , Inter-arrival distribution , Mean arrival rate
Your Answer Arrival distribution , Finance , Inter-arrival distribution


Multiple Choice Multiple Answer
Question Which of the following can be considered as a general rules
for data collection in the decision making process?
Correct Answer The information should be subjected to checks and cross
checks , The information must be collected from the most
reliable source , All relevant facts, regardless of how
disorganised and unrelated they seem at the time of data
gathering, should be recorded
Your Answer The information should be subjected to checks and cross
checks , Only organised and related facts should be collected
, The information must be collected from the most reliable
source
Select The Blank
Question The ________ is concerned with situations of conflicts
between two or more opposed sets of interests to devise
optimum strategies prior to commencement of action.
Correct Answer Games theory
Your Answer Games theory
Multiple Choice Multiple Answer
Question Combination of strategies of players determines :-
Correct Answer Outcomes , Payoff
Your Answer Outcomes , Minimax , Saddle point
True/False
Question Decision alternatives must not be mutually exclusive.
Correct Answer False
Your Answer True
Multiple Choice Single Answer
Question Value of a game having saddle point equals :-
Correct Answer Saddle point
Your Answer Saddle point
Multiple Choice Multiple Answer
Question Pure strategies art also called :-
Correct Answer Minimax pure strategy , Maximin pure strategy , Optimal
strategies
Your Answer Minimax pure strategy , Maximin pure strategy , Mixed
strategy
Match The Following
Question Correct Answer Your Answer
Transportation Tableau Data on shipping costs Data on shipping costs
Transportation Problem Transportation of goods Supply points equals total
Balanced Transportation Supply points equals Mechanism of Operation
Un-balanced Supply points does not Transportation of goods
Multiple Choice Multiple Answer
Question Special cases on simplex method are :-
Correct Answer Multiple Optimal Solution , Unbounded Solution , Infeasible
Solution
Your Answer Multiple Optimal Solution , Unbounded Solution , Infeasible
Solution
Multiple Choice Single Answer
Question Linear Programming develop a work schedule to meet staff
needs at all hours with minimum number of employees is
called as :-
Correct Answer Staffing Problems
Your Answer Staffing Problems
True/False
Question A 2x2 mixed strategy game is solved by 1 mere
programming.
Correct Answer False
Your Answer True
Multiple Choice Multiple Answer
Question Various Quantitative Techniques are :-
Correct Answer Linear Programming , Replacement Theory , Queuing Theory
Your Answer Linear Programming , Replacement Theory , Queuing Theory
True/False
Question Static decisions are essentially not a one time decisions.
Correct Answer False
Your Answer True
Select The Blank
Question ________ is called Stepping Stone Method.
Correct Answer Unoccupied cells to achieve solution
Your Answer Avoidance of high penalty & high-cost
Select The Blank
Question Decision Making under Un-certainty is called as ________.
Correct Answer Uncertain Situations
Your Answer Stochastic Model
Multiple Choice Single Answer
Question Which of the decision theory model indicates the situations
where consequences of each act of decision maker are
influenced by acts of opponent?
Correct Answer Competitive strategies
Your Answer Deterministic models
Multiple Choice Single Answer
Question Time spent by Service Facility to render the service to a
Customer is :-
Correct Answer Service time
Your Answer Service time
Multiple Choice Single Answer
Question In pure strategy game, strategies of players are represented
by row and maximin is 4. There value and game is :-
Correct Answer 4
Your Answer –4
Multiple Choice Multiple Answer
Question Words related to NWCM are :-
Correct Answer North , Corner , West
Your Answer North , Corner , West , Mechanism
Multiple Choice Single Answer
Question Sequence of steps performed in moving from one basic
feasible solution to another basic feasible solution is :-
Correct Answer Iteration
Your Answer Iteration
Multiple Choice Single Answer
Question In a pure strategy game, probability of selection of his optimal
strategy by a player is :-
Correct Answer 1
Your Answer Zero
Multiple Choice Single Answer
Question Linear Programming is one of the most popular techniques of:-
Correct Answer Operation Research
Your Answer Operation Research
Multiple Choice Multiple Answer
Question Terms relating to LP are :-
Correct Answer Constraints , Objective Function , Non-Negativity Condition
Your Answer Constraints , Objective Function , Non-Negativity Condition
Multiple Choice Single Answer
Question What do you mean by the decisions taken by the lower levels
of management as an outcome of policy decision?
Correct Answer Operating decision
Your Answer Personal decision
Multiple Choice Single Answer
Question Study of Comparable Past Events & Forecasting Future
Events is :-
Correct Answer Probability Theory
Your Answer Probability Theory
Select The Blank
Question A game in which there are two competing parties is called
________ game.
Correct Answer 2 person
Your Answer 2 x 3

Quantitative Techniques - 9

LIST OF ATTEMPTED QUESTIONS AND ANSWERS

Multiple Choice Multiple Answer
Question Queues are formed at :-
Correct Answer Telephone booths , Bus stand , Traffic lights
Your Answer Telephone booths , Bus stand , Traffic lights

Multiple Choice Multiple Answer
Question Specification of the constraints are :-
Correct Answer Vendors , Available Hours , Space
Your Answer Vendors , Space , Materials

Question Which of the following is an example of a policy decision?
Correct Answer Increment and promotion policy
Your Answer Increment and promotion policy

Multiple Choice Multiple Answer
Question Basic assumption in a play are :-
Correct Answer Choice of strategy by players is simultaneous , No player
knows choice of his opponent
Your Answer Strategies are always pure , Choice of strategy by players is
simultaneous , Strategies are always mixed

True/False
Question A 2x2 mixed strategy game is solved by algebraic method.
Correct Answer True
Your Answer True

Multiple Choice Multiple Answer
Question When number of tasks and number of facilities are not equal:-
Correct Answer Some tasks may remain unassigned. , Some facilities may
remain idle.
Your Answer Some tasks may remain unassigned. , Some facilities may
remain idle.

Multiple Choice Single Answer
Question A row in the simplex table whose elements represent the
decrease in the value of the objective function if one unit of
jth variables is brought into the solution is :-
Correct Answer Zj row
Your Answer (Zj-Cj) row (or index row)

Select The Blank
Question ________ is an extra row or column in a tableau.
Correct Answer Dummy source or Destination
Your Answer Dummy source or Destination

Multiple Choice Multiple Answer
Question Which of the following are examples of tactical decisions?
Correct Answer Loading and scheduling of jobs , Acceptance or rejection of
excess quantity against delivery schedule , Splitting of raw
material requirement among suppliers
Your Answer Loading and scheduling of jobs , Acceptance or rejection of
excess quantity against delivery schedule , Launching of a


True/False
Question Adaptive decisions involve problems with limited number of
decision variables.
Correct Answer False
Your Answer True

Select The Blank
Question Positive non-zero values variables are called ________.
Correct Answer Basic Variables
Your Answer Basic Variables

Multiple Choice Multiple Answer
Question Terminology NOT related with Linear Programming are :-
Correct Answer Players , Payoff , Payoff Matrics
Your Answer Objective Function

True/False
Question Traffic intensity is product of average arrival rate & average
service rate.
Correct Answer False
Your Answer True

Select The Blank
Question Constraint not affecting the feasible solution is ________.
Correct Answer Redundant Constraint
Your Answer Redundant Constraint

Multiple Choice Single Answer
Question Solution satisfying supply & demand conditions & yet may not
be optimal is :-
Correct Answer An Initial Feasible Solution
Your Answer An Initial Feasible Solution

True/False
Question Value of the subgame related to highest point in the feasible
region is solution for 2xn game.
Correct Answer True
Your Answer True

Multiple Choice Single Answer
Question The slack variables must take :-
Correct Answer Positive Values
Your Answer Both Values

Multiple Choice Multiple Answer
Question Study of Process Capability is not related to :-
Correct Answer Reliability Engineering , Statistical Process Control ,
Correlation & Regression Analysis
Your Answer Reliability Engineering , Statistical Process Control ,
Correlation & Regression Analysis

Match The Following
Question Correct Answer Your Answer
Intersecting element is The element at the
intersection of other than
key key row & key
The element at the
intersection of key row &
key column
Key Column is The column with the
largest negative index
Row at the intersection of
key row & key column
Key row is The row with the smallest
of the replacement ratios
The row with the smallest
of the replacement ratios
Key element is The element at the
intersection of key row &
The element at the
intersection of other than

Multiple Choice Multiple Answer
Question Which of the following are examples of basic decisions?
Correct Answer Product mix , Plant location , Organisation structure
Your Answer Decision on loan application by an employee , Plant location ,
Organisation structure

Select The Blank
Question SOPs provide necessary base to select optimal solution is
known as ________.
Correct Answer Mechanistic Decisions
Your Answer Analytical Decisions

Match The Following
Question Correct Answer Your Answer
Feasible Region Defined by Constraints Optimal Clause of
Corner Points Points of Intersection Satisfy Constraints
Feasible Solution Satisfy Constraints Defined by Constraints
Optimal solution Optimal Clause of Upper Limit

True/False
Question LP problem cannot be solved by graphical or by simplex
method.
Correct Answer False
Your Answer False

Multiple Choice Single Answer
Question In a pure strategy game, the value of game to player II is
maximin, then for player and the value is :-
Correct Answer Negative minimax
Your Answer Negative maximin

Select The Blank
Question The action of "Only few Customers may join Queue & some
may demand service on their behalf" is called ________
Correct Answer Collusion
Your Answer Collusion

Multiple Choice Single Answer
Question Assignment technique is useful in a situation where :-
Correct Answer Certain number of tasks are required to be attached to equal
number of facilities
Your Answer Certain number of tasks are required to be assigned to one
facility

Select The Blank
Question In waiting line, important characteristic commonly set to study
is ________.
Correct Answer Queue length
Your Answer Mean arrival rate

Select The Blank
Question Identify decision variables is ________ step of Graphical
Method.
Correct Answer First
Your Answer First

Question If a Linear Programming problem has no solution that
satisfies all constraints, it is said to be feasible.
Correct Answer True
Your Answer False

True/False
Question There is one queue & one server in the service facility is
Single Queue: Single Server.
Correct Answer True
Your Answer True

Multiple Choice Single Answer
Question Saddle point occurs when :-
Correct Answer Maximin = Minimax
Your Answer Maximin > Minimax

Multiple Choice Single Answer
Question Decision Variables are :-
Correct Answer The unknowns to be determined from the solution to the
model
Your Answer The unknowns to be determined from the solution to the
model

Multiple Choice Single Answer
Question Graphical method can deal with :-
Correct Answer Any number of constraints
Your Answer Two constraints

Multiple Choice Multiple Answer
Question Nomenclatures related to Transportation Problem are :-
Correct Answer S , P , W
Your Answer S , P , W

Multiple Choice Multiple Answer
Question In solution of an assignment problem a row with zero costs is
added and all the elements are multiplied by - 1, then the
problem is of nature :-
Correct Answer Unbalance assignment. , Maximization.
Your Answer Prohibited assignments , Unbalance assignment. ,
Maximization.

Select The Blank
Question A________ is a graphic device to depict the sequence of
decision to be made and the possible events that may occur.
Correct Answer Decision tree
Your Answer Decision tree

Select The Blank
Question Terminology for Service Distribution is ________
Correct Answer FCFS or LCFS
Your Answer FIFO or LIFO

Multiple Choice Single Answer
Question Graphical method deals with problem of :-
Correct Answer Both Maximization & Minimization
Your Answer Both Maximization & Minimization

Multiple Choice Single Answer
Question Linear Programming find the quantity of components to be
used at :-
Correct Answer Minimum Cost
Your Answer Minimum Cost

True/False
Question Compute row & column values for stone squares is step for
MODI method.
Correct Answer True
Your Answer True

True/False
Question Risk represent the probability estimate of nonoccurrence of
each outcome.
Correct Answer False
Your Answer False

True/False
Question By application of dominance rule final solution is affected.
Correct Answer False
Your Answer True

Multiple Choice Multiple Answer
Question Different Terms related to Simplex Method are :-
Correct Answer Algorithm , Iteration , Slack variable
Your Answer Algorithm , Minimax , Iteration

Select The Blank
Question Mathematical Model Construction from the given data is
known as ________.
Correct Answer Problem Formulation
Your Answer Problem Formulation

Multiple Choice Multiple Answer
Question Which of the following techniques and models are used to
deal with decision making under certainty?
Correct Answer Linear programming , Sequencing model , Breakeven
analysis
Your Answer Linear programming , Sequencing model , Breakeven
analysis

Multiple Choice Single Answer
Question What do you mean by the decisions taken by the top
management as a policy?
Correct Answer Policy decisions
Your Answer Policy decisions

Select The Blank
Question The ________ represents consequences of the interactions
of the decision alternatives and the chance events.
Correct Answer Outcomes
Your Answer Outcomes