GATE PI topic:project-management PYQs & Answers

Questions 1–10 of 10. Imported answers require independent review unless marked reviewed.

Painting is one of the activities in a construction project. For the painting activity that takes 6 days, both the total float and the free float are zero.

Which ONE of the following is TRUE for the painting activity?

Your answerChoose one option.

Painting is a dummy activity.

Painting is a non-critical activity.

The start of painting activity can be delayed without causing delay in completion of the construction project.

The start of painting activity cannot be delayed without causing delay in completion of the construction project.

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The network diagram of eight activities (A to H) along with their time durations (in days, given in bracket) of a project is shown in the figure. The critical path of the project is

Diagram for Production and Industrial Engineering question 41

Your answerChoose one option.

1–2–3–6

1–4–3–6

1–5–6

1–4–5–6

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A project has six activities and the precedence relationship among them is shown in the table.

Activity	Precedent activities
A	None
B	None
C	None
D	A, B
E	B, C
F	A, B

The minimum number of dummy activities needed to draw an activity-on-arrow (AOA) representation of the project network is

Your answerChoose one option.

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Details of activities of a project are given as

Activity	A	B	C	D	E	F	G	H	I	J
Time (days)	8	10	8	7	16	15	18	14	9	4
Predecessors	-	-	-	A	A	B, D	C	C	F, G	E, I, H

The time required, in days, to complete the project along the critical path is _____ (in integer).

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A project comprises of seven activities. The expected durations of activities and their variances are as follows:

Activity	Expected duration (minute)	Variance (minute)
A	4	1
B	5	1
C	4	1
D	1	0
E	7	4
F	6	1
G	8	4

The critical path consists of activities B, E and G. The standard deviation (in minute) of the project duration is____________. [round off to two decimal places]

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A project consists of eight activities. The time required for each activity and its immediate predecessor(s) are given in the table below.

Activity	Activity time (in days)	Immediate predecessor(s)
A	2	-
B	3	-
C	2	A
D	4	A, B
E	4	C
F	3	C
G	X	D, E
H	2	F, G

If the project completion time using critical path method (CPM) is 15 days, then the value of X (in days) is ________. [in integer]

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A project consists of seven activities as listed in the table. The time required for each activity and its immediate predecessor(s) are also given.

Activity	Time required (in weeks)	Immediate Predecessor(s)
P	7	-
Q	4	-
R	2	Q
S	11	P
T	9	P, R
U	9	Q
V	4	T, U

The project completion time using Critical Path Method (CPM) in weeks is ____________.

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A PERT project network consists of 5 activities A to E. The time estimates of these activities follow Beta-distribution. The predecessor–successor (P-S) relationships between the nodes and time estimates of activities are given in table.

Activity	P-S	Optimistic time (days)	Most likely time (days)	Pessimistic time (days)
A	1–2	2	4	6
B	2–3	4	5	12
C	2–4	5	8	11
D	3–5	2	5	08
E	4–5	4	6	14

The variance (in days) of the critical path is ______ (round off to 2 decimal places)

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A project consists of three activities P, Q and R. The durations of activities follow Beta distribution. The predecessors and durations of activities are as per the following table: | Activity | Predecessors | Optimistic time (month) | Most likely time (month) | Pessimistic time (month) | P | — | 2 | 3 | 10 | Q | P | 3 | 5 | 13 | R | Q | 3 | 4 | 5 | The expected project completion time (in month) is _____

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In a project, tasks A, B, C, D, E, F, G, H, I and J are to be performed. The precedence relationships and the time required (in days) to complete the tasks are given in the Table.

Tasks	A	B	C	D	E	F	G	H	I	J
Time (days)	8	10	8	10	16	17	18	14	9	4
Preceding tasks	-	-	-	A	A	B, D	C	C	F, G	E, I, H

The time required (in days) to complete the project along the critical path is

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GATE PI topic:project-management PYQs

How to practice topic:project-management

Question 24

Question 41

Question 41

Question 53

Question 35

Question 42

Question 50

Question 53

Question 43

Question 39