1. In the construction of networks, dummy activities are introduced in order to
(a) Compute the slack on all events
(b) Transfer resources, if necessary, during monitoring
(c) Clearly designate a precedence relationship
(d) Simplify the crashing plan
(2 Mark, 1990)

Ans: c
2. In PERT, the distribution of activity times is assumed to be
(a) Normal
(b) Gamma
(c) Beta
(d) Exponential
(1 Mark, 1995)

Ans: c
3. A dummy activity is used in PERT network to describe
(a) Precedence relationship
(b) Necessary time delay
(c) Resource restriction
(d) Resource idleness
(1 Mark, 1997)

Ans: a

Ans: a
6. In PERT analysis a critical activity has
(a) Maximum Float
(b) Zero Float
(c) Maximum Cost
(d) Minimum Cost
(1 Mark, 2004)

Ans: b
7. An assembly activity is represented on an Operation Process Chart by the symbol
(a) □
(b) A
(c) D
(d) O
(1 Mark, 2005)

Ans: d
8. A project has six activities (A to F) with respective activity durations 7, 5, 6, 6, 8, 4 days. The network has three paths AB, CD and EF. All the activities can be crashed with the same crash cost per day. The number of activities that need to be crashed to reduce the project duration by 1 day is
(a) 1
(b) 2
(c) 3
(d) 6
(2 Mark, 2005)

Ans: c
Explanation:
10. The standard deviation of the critical path of the project is:
(a) \sqrt { 151 }days
(b) \sqrt { 155 }days
(c) \sqrt { 200 }days
(d) \sqrt { 238 }days
(2 Mark, 2006)

Ans: a
Explanation:
11. A set of 5 jobs is to be processed on a single machine. The processing time (in days) table below. The holding cost for each job is Rs. K per day.
A schedule that minimizes the total inventory cost is
(a) T – S –Q – R – P
(b) P – R – S –Q – T
(c) T – R – S – Q – P
(d) P –Q – R – S – T
(1 Mark, 2008)

Ans: a
Explanation:
12. For the network below, the objective is to find the length of the shortest path from node P to node G.
Let d_{ij} be the length of directed are from node i to node j.
Let S_{j} be the length of the shortest path from P to node j. Which of the following equations can be used to find S_{G}?
(a) S_{G} = Min (S_{Q}, S_{R})
(b) S_{G} = Min (S_{Q} – d_{QG}, S_{R} – d_{RG})
(c) S_{G} = Min (S_{Q} + d_{QG}, S_{R} + d_{RG})
(d) S_{G} = Min (d_{QG}, d_{RG})
(2 Mark, 2008)

Ans: c
Explanation:
14. The standard deviation of the critical path is
(a) 0.33
(b) 0.55
(c) 0.88
(d) 1.66
(2 Mark, 2009)

Ans: c
Explanation:
15. The expected time (t_{e}) of a PERT activity in terms of optimistic time (t_{0}), pessimistic time (t_{p}) and most likely time (t_{l}) is given by
(a) t_{e} = \frac { { t }_{ o }+{ 4t }_{ l }+{ t }_{ p } }{ 6 }
(b) t_{e} = \frac { { t }_{ o }+{ 4t }_{ p }+{ t }_{ l } }{ 6 }
(c) t_{e} = \frac { { t }_{ o }+{ 4t }_{ l }+{ t }_{ p } }{ 3 }
(d) t_{e} = \frac { { t }_{ o }+{ 4t }_{ p }+{ t }_{ l } }{ 3 }
(1 Mark, 2009)

Ans: a
Explanation:
18. Using the Shortest Processing Time (SPT) rule, total tardiness is
(a) 0
(b) 2
(c) 6
(d) 8
(2 Mark, 2010)

Ans: d
Statement for Linked Questions 20 and 21:
For a particular project, eight activities are to be carried out. Their relationships with other activities and expected durations are mentioned in the table below.
20. The critical path for the project is
(a) a – b – e – g – h
(b) a – c – g – h
(c) a – d – f – h
(d) a – b – c – f –h
(2 Mark, 2012)

Ans: c
21. If the duration of activity f alone is changed from 9 to 10 days, then the
(a) Critical path remains the same and the total duration to complete the project changes to 19 days.
(b) Critical path and the total duration to complete the project remain the same.
(c) Critical path changes but the total duration to complete the project remains the same.
(d) Critical path changes and the total duration to complete the project changes to 17 days.
(2 Mark, 2012)

Ans: a
22. A project has four activities P, Q, R and S as shown below.
The normal cost of the project is Rs. 10,000/ and the overhead cost is Rs. 200/ per day. If the project duration has to be crashed down to 9 days, the total cost (in Rupees) of the project is _______.
(2 Mark, 2014[2])

Ans: 12,500
Explanation:
23. A minimal spanning tree in network flow models involves
(a) All the nodes with cycle/loop allowed
(b) All the nodes with cycle/loop not allowed
(c) Shortest path between start and end nodes
(d) All the nodes with directed arcs
(1 Mark, 2014[3])

Ans: b
28. In PERT chart, the activity time distribution is
(a) Normal
(b) Binomial
(c) Poisson
(d) Beta
(1 Mark, 2016[3])

Ans: d