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Test: CPM & PERT - 2 - Civil Engineering (CE) MCQ


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10 Questions MCQ Test GATE Civil Engineering (CE) 2025 Mock Test Series - Test: CPM & PERT - 2

Test: CPM & PERT - 2 for Civil Engineering (CE) 2024 is part of GATE Civil Engineering (CE) 2025 Mock Test Series preparation. The Test: CPM & PERT - 2 questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Test: CPM & PERT - 2 MCQs are made for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: CPM & PERT - 2 below.
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Test: CPM & PERT - 2 - Question 1

Activities A to K are required to complete a project. The time estimates and the immediate predecessors of these activities are given in the table. If the project is to be completed in the minimum possible time, the latest finish time for the activity G is _____ hours.

Detailed Solution for Test: CPM & PERT - 2 - Question 1


Activity 'G'

LFT of activity 'G' = 10 hours

Test: CPM & PERT - 2 - Question 2

A PERT network has 9 activities on its critical path. The standard deviation of each activity on the critical path is 3. The standard deviation of the critical path is

Detailed Solution for Test: CPM & PERT - 2 - Question 2

In CPM,

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Test: CPM & PERT - 2 - Question 3

Activities A, B, C and D form the critical path for a project with a PERT network. The means and variances of the activity duration for each activity are given below. All activity durations follow the Gaussian (normal) distribution, and are independent of each other.

The probability that the project will be completed within 40 days is _____ (round off to two decimal places).
(Note: Probability is a number between 0 and 1).

Detailed Solution for Test: CPM & PERT - 2 - Question 3

PERT-CPM

Probability of completing project in expected time is always 0.5.

Test: CPM & PERT - 2 - Question 4

Consider the following network of activities, with each activity named A-L, illustrated in the nodes of the network

The number of hours required for each activity is shown alongside the nodes. The slack on the activity L, is ________ hours.

Detailed Solution for Test: CPM & PERT - 2 - Question 4

Time along path A-B-C-F-I-J-K = 42 hours
Time along path A-B-C-E-H-L = 31 hours
Time along path A-B-C-D-G-H-L = 40 hours
Slack for L = 42 - 40 = 2 hours

Test: CPM & PERT - 2 - Question 5

The activities of a project, their duration and the precedence relationships are given in the table. For example, in a precedence relationship "X < Y < Z" means that X is predecessor of activities Y and Z. The time to complete the activities along the critical path is ______ weeks.

Detailed Solution for Test: CPM & PERT - 2 - Question 5



Critical path duration = 23 weeks

Test: CPM & PERT - 2 - Question 6

Following data refers to the activities of a project, where, node 1 refers to the start and node 5 refers to the end of the project.

The critical path (CP) in the network is

Detailed Solution for Test: CPM & PERT - 2 - Question 6


Critical path = 1-4-3-5

Test: CPM & PERT - 2 - Question 7

A project consists of 7 activities. The network along with the time durations (in days) for various activities is shown in the figure.

The minimum time (in days) for completion of the project is_________

Detailed Solution for Test: CPM & PERT - 2 - Question 7

The critical path is 1-2-4-5-6 of 40 Days duration.

Test: CPM & PERT - 2 - Question 8

A sample of 15 data is follows: 17, 18, 17, 17, 13, 18, 5, 5, 6, 7, 8, 9, 20, 17, 3. The mode of the data is

Detailed Solution for Test: CPM & PERT - 2 - Question 8

Mode means highest number of observations or occurrence of data most of the time as data 17, occurs four times, i.e., highest time. So mode is 17.

Test: CPM & PERT - 2 - Question 9

The precedence relations and duration (in days) of activities of a project network are given in the table. The total float (in days) of activities e and f, respectively, are

Detailed Solution for Test: CPM & PERT - 2 - Question 9


Total float for activity: e=7-2-4=1
Total float for activity: f=12-4-4=4

Test: CPM & PERT - 2 - Question 10

A project has six activities (A to F) with respective activity durations 7,5,6,6,8,4 days. The network has three paths A-B,C-D and E-F. 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

Detailed Solution for Test: CPM & PERT - 2 - Question 10

The 3 activity need to be crashed to reduce the project duration by 1 day.

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