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

• A) stochastic
• B) deterministic
• C) serial
• D) probabilistic

For a development project, if its Standard Normal variable = 1.38, expected and the scheduled durations of the project are 100 and 110 days respectively, then the Standard Deviation in the project length is ---------------.

• A) 7.246
• B) -7.246
• C) 52.50
• D) -52.50

For critical path of a network, which of the followings is the best suitable answer.

• A) Its free float is zero
• B) Its total float is zero
• C) All of the above
• D) Its independent float is zero

In PERT, the possible variation in activity times can be measured from --------------- of the corresponding Beta Distribution.

• A) Mean
• B) Standard Deviation
• C) Variance
• D) Expected Time

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 = difference of Latest finish times of events ‘i’and ‘j’ = time to complete the job, then the activity (i,j) is said to be -------.

• A) dummy
• B) non of the above
• C) critical
• D) non-Critical

Which of the following elements in a project network diagram signifies the direction of progress?

• A) The length of the arrows
• B) The position of the nodes
• C) The thickness of the lines
• D) The arrowheads

A set of nodes connected by lines which begin at the initial node of a network and end at the terminal node is called _________.

• A) Node
• B) Network
• C) Path
• D) Critical path

In a network flow diagram, two jobs ‘a(i,k)’ and ‘b(j,k)’ of durations ‘4’ and ‘5’ days respectively, enter an event ‘k’ then which of the following will be earliest start day of ‘k’ provided that (i,k) and (j,k) have started earlier at 3rd and 4th day respectively?

• A) 7th
• B) 6th
• C) 8th
• D) 9th

Dummy activity is represented by _______ .

• A) doted line
• B) left to right arrow
• C) doted line with left to right arrow
• D) doted line with right to left arrow

While finding the critical path in a network flow diagram, if an activity (i,j) starts and finish late on 3rd and 9th day respectively, then it will be completed in -----------days.

• A) Three days
• B) Fifteen days
• C) Six days
• D) Twelve days

Which of the following phases are performed to find the critical path in CPM?

• A) Precedence and succession
• B) Program Evaluation and Review
• C) Resource Scheduling and Allocation
• D) Forward and Backward(Early and Late finish program)

Delay in critical activities for a project management lead to ________________.

• A) project finish time will have to extend
• B) project cost will increase
• C) more resources have to employed
• D) All above choices are equivalent

In the PERT, the expected time is classified as a----------- variable.

• A) fix valued (constant)
• B) random
• C) continuous
• D) complex valued

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?

• A) 9.33 days
• B) 4.66 days
• C) 6 days
• D) 6.66 days

Duration of the project is described by the __________ to complete the project.

• A) quick time
• B) shortest time
• C) latest start time
• D) longest time

In a network flow diagram, if an event is the predecessor of three other events then how many dummies are inevitable to include in the network?

• A) Three
• B) Two
• C) One
• D) Four

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

• A) zero
• B) infinity
• C) 5th day
• D) arbitrary

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

• A) Most Likely < Optimistic < Pessimistic
• B) Pessimistic < Most Likely < Optimistic
• C) Most Likely < Pessimistic < Optimistic
• D) Optimistic < Most Likely < Pessimistic

{\text{Minimizing}}\,\,{\text{any}}\,\,{\text{function}}\,f({x_1},{x_2},{x_3},......,{x_n})\,{\text{subject}}\,{\text{to}}\,{\text{the}}\,{\text{set}}\,{\text{of}}\,{\text{constraints}}\,\,{\text{is}}\,\,{\text{equivalent}}\,{\text{to}}\,{\text{maximizing _________ subject}}\,{\text{to}}\,{\text{the}}\,{\text{same}}\,{\text{set}}\,{\text{of}}\,{\text{constraints}}{\text{.}}

• A) - f({x_1},{x_2},{x_3},......,{x_n})
• B) f({x_1}, - {x_2},{x_3},......,{x_n})
• C) f( - {x_1}, - {x_2}, - {x_3},......, - {x_n})
• D) f( - {x_1},{x_2},{x_3},......,{x_n})

For Z = 4 x_1 + x_2 subject to 3 x_1 + 4 x_2 \geq 20, x_1 + 5 x_ 2 \geq 15, we have ___________ variables.

• A) three objective
• B) six
• C) two slack
• D) one artificial