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MTH 601(Operation Research) Quiz solution Fall 2020

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MTH 601 Quiz solution fall 2020

So Start Quiz MTH 603 Quiz Solution  Part  1

Q 1 to 10

In a development project, if an activity (I,j) of duration three days finish earlier on the tenth day then which of the following will be its early start day?

  • Seventh-day
  • third day 
  • First day
  • Fith day 

if both job'a (I, n) and 'b' (m, n ) of '7' and '8' day duration respectively, stat earlier simultaneously on 4th day. then 'n' can start earlier on ----------day.

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  • 8th
  • 11th
  • 15th
  • 12th

Duration of dummy activity is -----------.

  • latest start time 
  • zero
  • early start time 
  • 1

in a network flow diagram, which of the following method through compilation provides .i)start and completion times each for activity. ii)critical and non-critical activities and iii) total and free slacks?

  • Resource Scheduling 
  • Resource Allocation
  • PERT
  • CPM

The task executed by the usage of resource and time is called---------.

  • node
  • Event
  • Project 
  • Activity 

In project management, the Critical Path method is based on------- times.

  • deterministic
  • probabilistic 
  • stochastic 
  • serial

About which of the following it is true that they only signify with the passage of time, the beginning and end of some activities under no consumer of resources?

  • project 
  • nodes
  • dummy
  • branch

in the phase of early start and finish, to find the Critical path in a network flow diagram, for the first node, we start time ----------.

  •  t = infinity
  • t = 0
  • t = a

with a strictly positive value 

in a network flow diagram, a/an ------- is shown by dotted arrows, and these consumers no time or resources.

  • activity
  • branch
  • dummy
  • nodes

Quiz Screen Shot MTH 601 

Extra Quiz Mth 601 Quiz 

Q1: In a development project, if an activity (i,j) of six days duration, starts late on the 3rd day then which of the following will be its latest finish time? 

Select correct option:

  •  9th day
  •  2nd day
  •  3rd day
  •  18th 

2-Which of the following value is correct for the expected time of an activity having optimistic, pessimistic, and most likely times as 4, 8, and 6 days respectively?

Select correct option:

  •  6.66 days
  •  9.33 days
  •  6 days
  •  4.66 days

3-In the relation of finding the expected time of an activity, most likely time is weighted more than the other optimistic and pessimistic times and these exist in the ratio of -----------.

Select correct option:

  •  6:1
  •  2:1
  •  4:1
  •  3:1 

4- While finding the Critical Path, in the phase of Late Start and Late Finish, we start from the last node and the computations are performed from -------- up to the beginning event.

Select correct option:

  •  right to left
  •  left to right
  •  top to bottom
  •  bottom to top

5-In Project Management, if the Critical activities of a network are delayed then ---------.

Select correct option:

  •  project finish time will have to extend
  •  project cost will increase
  •  more resources have to employed
  • All the above choices are equivalent

6- In PERT, the possible variation in activity times can be measured from --------------- of the

corresponding Beta Distribution.

Select correct option:

  •  Variance
  •  Mean
  •  Expected Time
  •  Standard Deviation

7- In Project Management, the Critical Path method is based on ------------- times.

Select correct option:

  •  deterministic
  • probabilistic
  •  stochastic 

8- While identifying the Critical Path of a network flow diagram, the Late Start and Late Finish phase confirms that the project start time is -----------.

Select correct option:

  •  serial
  • zero
  •  infinity
  •  arbitrary

9- The network flow diagrams for PERT and CPM are the same except for -----------.

Select correct option:

  •  dummy activities
  •  critical Path
  •  initial and final events
  •  activity times

10- Which of the following Probabilistic time in PERT has the same analogical meaning as Deterministictime (time to complete any activity) in CPM?

Select correct option:

  •  Expected
  •  Optimistic
  •  Pessimistic
  •  Most Likely

11- Which of the following is the objective of Project Management by using PERT and CPM methods, for any project subject to resource constraints?

Select correct option:

  •  To minimize the project time
  •  To maximize the total project profit 
  • To minimize the total project cost
  •  To minimize the resource constraints

12- The task which is executed by the usage of resources and time is called -------------.

Select correct option:

  •  node
  •  event
  •  project
  •  activity

13- In a network flow diagram, two jobs (i,j) and (i,k) of ‘9’and ‘6’ day's duration leaves the node's’ then which of the following will be Late start time for ‘i’, if it is provided that both (i,j) and (i,k) finish late on the 12th and 8th day respectively?

Select correct option:

  •  6th day
  •  2nd day
  •  3rd day
  •  1st day

14- About which of the following it is true that “they only signify with the passage of time, the beginning and ending of some activities under no consumption of resources”?

Select correct option:

  •  project
  •  nodes
  •  dummy
  •  branch

15- A Critical Path in a network flow diagram --------.

Select correct option:

  •  is unique
  •  may at most two
  •  depends on the number of dummies
  •  maybe multiple

16-In a development project, if an activity (i,j) of six days duration, starts late on 3rd day then

which of the following will be its latest finish time?

Select correct option:

  •  9th day
  •  2nd day
  •  3rd day
  •  18th day

17- while solving a network flow problem by PERT, which of the following type of time will be

used to measure the length of Critical Path?

Select correct option:

  •  Pessimistic
  •  Expected
  •  Most Likely
  •  Optimistic

18- For any activity (i,j), if, a) Earliest start time of ‘i’ = Latest finish time of ‘i’, b) Earliest start time of ‘j’ = Latest finish time of ‘j’, c) difference of Earliest start times of events ‘i’ and ‘’j = the difference of Latest finish times of events ‘and ‘j’ = time to complete the job, then the activity (i,j) is said to be ------.

Select correct option:

  •  dummy 
  •  critical
  •  non-Critical
  •  non of the above

19- In a project, a network diagram shows the precedence relations of interrelated activities

along with their corresponding activity ----------.

Select correct option:

  •  times
  •  cost
  •  profit
  •  quantity

20-The network flow diagrams for PERT and CPM are the same except for -----------.

Select correct option:

  •  dummy activities
  • critical Path
  •  initial and final events
  •  activity times

20-Which of the following relation is true among the probabilistic times in PERT?

Select correct option:

  •  Most Likely < Optimistic < Pessimistic
  • Optimistic < Most Likely < Pessimistic
  •  Most Likely < Pessimistic < Optimistic
  •  Pessimistic < Most Likely < Optimistic

21-In the phase of Early Start and Early Finish, to find the Critical Path in a network flow diagram, the computations have proceeded from --------------- to the final event. 

Select correct option:

  •  bottom to top
  •  right to left
  •  left to right
  •  top to bottom

22- Which of the following relation is correct for the Standard Deviation of activity times having optimistic, pessimistic, and most likely values like 4, 8, and 6 days respectively?

Select correct option:

  •  0.666
  •  01
  •  0.147
  •  7.111

23- In a project, a network diagram shows the ------------ relations of the interrelated activities along with their corresponding activity times.

Select correct option:

  •  deterministic and probabilistic
  •  precedence or succession
  •  union and intersection
  •  dummy and artificial

24- In a network flow diagram, for an activity (i,j) of six days duration, if its Late Finish time is of nine days, then which of the following will be its Late Start time?

Select correct option:

  •  Twelve days 
  •  Fifteen days
  •  Three days
  •  Six days

25- In PERT, the possible variation in activity times is measured from Standard Deviation which is ------------of the difference between Pessimistic and Optimistic times.

Select correct option:

  • one-sixth
  •  one fourth
  •  one third
  •  one fifth

26- In a network flow diagram, which of the following method through computations provides, i) start and completion times for each activity, ii) critical and non-critical activities, and iii) total and free slacks?

Select correct option:

  •  Resource Scheduling
  •  Resource Allocation
  •  PERT
  •  CPM

27- In the phase of Early Start and Early Finish, to find the Critical Path in a network flow

diagram, for the first node(event), we start with time -------------.

Select correct option:

  •  t = infinity
  •  t = 0
  •  t = a (arbitrary)
  •  with a strictly positive value 

28- fan activity has a non-zero value of total float such that it can be further delayed to the length of slack without delaying the project, then it is said to be ---------

Select correct option:

  •  dummy
  •  critical
  •  non-Critical
  •  non of the above

29- In a network flow diagram, if two jobs ‘an (l,n)’ and ‘b(m,n)’ of ‘7’ and ‘8’ days durations respectively, start earlier simultaneously on 4th day, then the next activity containing ‘n’ as a head event can’t start until the entering activity -------------- is completed.

Select correct option:

  •  (m,n)
  •  (l,n)
  •  (m,l)
  •  (l,m)
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