Week-8: Earned Value Concepts & PERT
Question #1 to 5: The table 1 below shows a set of activities for construction a compound wall. The various
attributes of the activities details of the project network are given below in table. 1. The values in columns D
to I based on monitoring values for the 3rd, 6th and 9th week of the project.
Table 1
Activity
A
B
C
D
E
F
G
H
I
Excavate
1
3 weeks
15000
60%
12000
100%
16000
100%
16000
PCC
2
3 weeks
9000
40%
5000
100%
8500
100%
8500
Foundation
3
4 weeks
24000
20%
6000
80%
25000
100%
27500
Columns
4
4 weeks
8000
0%
0
55%
10000
100%
15000
Plinth Beam
5
6 weeks
18000
0%
0
30%
8000
100%
20000
Brickwork
5
9 weeks
20000
0%
0
0%
0
80%
17000
A = Activity start at (beginning of week)
B= Duration of activity (Week)
C = Total cost (Rs.)
D, F, H = % complete at the end of Week 3, 6 and 9.
E, G, I = Actual Expenditure at the end of Week 3, 6 and 9.
1. What is the BCWS at the end of 3rd, 6th and 9th week?.
a. 21000, 64444, 82111
b. 27000, 64444, 82111
c. 21000, 64444, 71000
d. 27000, 60000, 71000
2. Find the values for planned % complete of the project at 3rd, 6th and 9th week?.
a. 28.72%, 65.56%, 85.35%
b. 28.72%, 65.56%, 87.35%
c. 25.72%, 68.56%, 87.35%
d. None of the above
3. What is the actual % complete of the project at 3rd, 6th and 9th week?.
a. 15.51%, 56.38%, 96.74%
b. 15.51%, 54.38%, 95.74%
c. 18.51%, 56.38%, 95.74%
d. None of the above
4. What is the time performance (SPI) of the project at 3rd, 6th and 9th week?.
a. Behind schedule, Behind Schedule, Ahead of Schedule
b. Behind schedule, Ahead of Schedule, Ahead of Schedule
c. Ahead of schedule, Behind Schedule, Ahead of Schedule
d. Ahead of schedule, Behind Schedule, Behind Schedule
5. What is the cost performance of the project (CPI) at 3rd, 6th and 9th week?.
a. Over the budget, Over the budget, On budget
b. Under the budget, Under the budget, On budget
c. On budget, Under the budget, On budget
d. Over the budget, Over the budget, Over the budget
6. Which of the following statements are true about PERT Analysis?.
i. The time estimates of activities and probability of their occurrence follow beta distribution curve
ii. Activity in the network can be repeated
iii. The variance is equal to sum of variances on critical path
iv. The activity duration is assumed to follow the beta distribution, and the standard deviation of the distribution is
assumed to be 1/4th of its range
a) i,ii and iii are True
b) ii and iv are True
c) i and iii are True
d) all the above are True
7. The standard deviation for a PERT diagram is calculated by :
a)taking the sum of the standard deviations on all the nodes
b)taking the sum of the standard deviations on the nodes on the critical path
c)taking the sum of variance on all the nodes, then find the square root
d)taking the sum of the variances on the nodes on the critical path, then find the square root
8. PERT is used mostly which of the following ways?.
a) Used in projects of repetitive nature
b)Used in research and development projects
c)Used in small projects
D)Used in large projects
Question #9 to 15: The details of the project network are given below in table. 2.
Table 2
Activity
Predecessor
Optimistic
(days)
Most
Likely
(days)
Pessimistic
(days)
A
B
C
D
E
F
G
H
I
J
K
A
B
B
C
D,E
E,D
F,G
F,G
2
2
4
4
8
3
6
2
1
2
4
3
4
8
8
10
3
9
7
3
6
7
5
6
14
12
15
6
12
9
7
10
10
9. For the above list of activities, the critical path using PERT technique is :
a) BEH
b)CGJ
c)CGK
d) ADH
10. The total duration of the project is :
a)23.33 days
b)24.33 days
c)19.83 days
c)17.67 days
11. The standard deviation for the project is:
a)2.19 days
c)3.67 days
c)4.78 days
d)1.98 days
12. What is the probability that the project can be completed in 23 days?.
a)26.91%
b)27.09%
b)30.67%
d)55.88%.
13. What is the probability that the project can be completed in 25 days?.
a)65.89%
b)95.66%
c)62.17%
d)55.25%
14. What is the probability that the project can be completed between 23 to 25 days?.
a)39.78%
b)10.01%
c)32.64%
d)35.08%
15. What is the duration by which the project will be complete with a certainty on 0.75?.
a)25.81 days
b)20.67 days
c)44.97 days
d)36.88 days