All Courses
Get the App Signup / Login
Sign in Open App
Mechanical Engineering Exam  >  Mechanical Engineering Tests  >  Industrial Engineering  >  Test: CPM & PERT Level - 3 - Mechanical Engineering MCQ

Test: CPM & PERT Level - 3 - Mechanical Engineering MCQ


Test Description

20 Questions MCQ Test Industrial Engineering - Test: CPM & PERT Level - 3

Test: CPM & PERT Level - 3 for Mechanical Engineering 2024 is part of Industrial Engineering preparation. The Test: CPM & PERT Level - 3 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: CPM & PERT Level - 3 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: CPM & PERT Level - 3 below.
Solutions of Test: CPM & PERT Level - 3 questions in English are available as part of our Industrial Engineering for Mechanical Engineering & Test: CPM & PERT Level - 3 solutions in Hindi for Industrial Engineering course. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free. Attempt Test: CPM & PERT Level - 3 | 20 questions in 60 minutes | Mock test for Mechanical Engineering preparation | Free important questions MCQ to study Industrial Engineering for Mechanical Engineering Exam | Download free PDF with solutions
Test: CPM & PERT Level - 3 - Question 1
Save

For the project given below, the number of critical paths are

Detailed Solution for Test: CPM & PERT Level - 3 - Question 1

Paths:

1‐ 3‐ 5‐ 6 = 6 + 4 + 3 = 13∗

1‐ 2‐ 5‐ 6 = 8 + 2 + 3 = 13∗

1‐ 4‐ 6 = 7 + 5 = 12

*Answer can only contain numeric values
Test: CPM & PERT Level - 3 - Question 2
Save

While drawing precedence diagram for given table, no. of dummy activities required is ___________.


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

No. of Dummy activities required is 3

1 Crore+ students have signed up on EduRev. Have you? Download the App
*Answer can only contain numeric values
Test: CPM & PERT Level - 3 - Question 3
Save

Find the completion time of the project


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

Paths:

A‐ C‐ G = 4 + 2 + 7 = 13

A‐D‐E‐G = 4 + 5 + 6 + 7 = 22

A‐ D‐ F‐ H‐ I = 4 + 5 + 6 + 10 + 11 = 36∗

B‐D‐E‐G = 3 + 5 + 6 + 7 = 21

B‐ D‐ F‐ H‐ I = 3 + 5 + 6 + 10 + 11 = 35

Completion time = 36 weeks

*Answer can only contain numeric values
Test: CPM & PERT Level - 3 - Question 4
Save

A PERT network is shown below. Find the standard deviation of critical path (Upto 2 decimal places)

Detailed Solution for Test: CPM & PERT Level - 3 - Question 4

Paths:

1‐ 2‐ 3‐ 7 = 9 + 5 + 11 = 25∗

1‐ 5‐ 7 = 16 + 8 = 24

1‐ 4‐ 7 = 9 + 4 = 13

standard Deviation of critical path

= 2.45

*Answer can only contain numeric values
Test: CPM & PERT Level - 3 - Question 5
Save

A probabilistic project consist of the following activities

Expected completion time of the project is ______________ days.

Detailed Solution for Test: CPM & PERT Level - 3 - Question 5

Paths

A‐ C‐ D‐ G = 10 + 12 + 7 + 10 = 39

A‐ C‐ D‐ F = 10 + 12 + 7 + 13 = 42

A‐B‐D‐G = 10 + 16 + 7 + 10 = 43

A‐ B‐ E‐ F = 10 + 16 + 7 + 13 = 46

A‐ B‐ D‐ F = 10 + 16 + 7 + 13 = 46∗

Test: CPM & PERT Level - 3 - Question 6
Save

For a project following data is given:

The critical path and the independent float for the activity 6-8 is
Detailed Solution for Test: CPM & PERT Level - 3 - Question 6

IF + 5 = 24 − 19 = 5

IF = 0

Test: CPM & PERT Level - 3 - Question 7
Save

The maximum completion time of the project is
Detailed Solution for Test: CPM & PERT Level - 3 - Question 7

A‐C‐F‐H‐J = 4 +2 + 7+ 2+ 2 = 17

A‐C‐F‐I = 4+ 2+ 7 +2 = 15

A‐D‐E‐F‐H‐J = 4 +1 +3 + 7+ 4+ 2 = 21

A‐D‐E‐F‐I = 4+ 1+ 3+ 7 +2 = 17

A‐ D‐ G‐ H‐ J = 4 + 1 + 5 + 4 + 7 = 21

A‐ D‐ G‐ I = 4 + 1 + 5 + 2 = 12

B‐E‐F‐H‐J = 6 +3 + 7+ 4+ 2 = 22∗ = μ B‐E‐F‐I = 6+ 3+ 7 +2 = 18

B‐G‐H‐J = 6 +5 +4+2 = 17

B‐G‐I = 6+ 5+ 2 = 13

μ = 22

Maximum completion time = μ + 3σ = 22 + 3 × 6.24

= 40.72 days

Test: CPM & PERT Level - 3 - Question 8
Save

In the network diagram shown below, the numbers adjacent to the arcs indicates the resource required to complete an activity. The resources are specified in terms of number of units. Find the critical path duration and the activity with maximum total float.
Detailed Solution for Test: CPM & PERT Level - 3 - Question 8

A‐ E‐ G = 13

A‐ D = 11

A‐ C‐ F = 14∗

B‐ F = 11

B, D bot are having maximum total float 14, B or 14, D both are correct

Test: CPM & PERT Level - 3 - Question 9
Save

Consider the following project

Which of the following combination of activities will be having independent float as zero?
Detailed Solution for Test: CPM & PERT Level - 3 - Question 9

The activities which are present in the critical path will have total float, free float and independent float values as zero.

Test: CPM & PERT Level - 3 - Question 10
Save

A network diagram is given below.

Due to some technical issues if activity ‘B’ is started at time 3 and activity C is started at time 7 the EST for E and F are
Detailed Solution for Test: CPM & PERT Level - 3 - Question 10

EFT )B = EST)B + duration = 3 + 6 = 9

EFT)C = 7 + 3 = 10 (max)

EST)E = (EST)F = 10

Test: CPM & PERT Level - 3 - Question 11
Save

Consider the following project

The minimum completion time of the project is ___________.
Detailed Solution for Test: CPM & PERT Level - 3 - Question 11

Paths are:

A‐B‐D‐H = 5 + 3 + 6 + 9 = 23

A‐C‐F‐H = 5 + 11 + 7 + 9 = 32∗

A‐C‐E‐G = 5 + 11 + 8 + 7 = 31

μ = 32

σ = 3.19

Minimum completion time = μ − 3σ

= 32 − 3 × 3.19

= 22.43

Test: CPM & PERT Level - 3 - Question 12
Save

What is the critical path?
Detailed Solution for Test: CPM & PERT Level - 3 - Question 12

Paths are:

A‐B‐C‐F‐H‐I‐J = 4 + 6 + 7 + 8 + 4 + 6 + 2 = 37∗

A‐B‐ C‐G‐H‐I‐J = 4 + 6 + 7 + 5 + 4 + 6 + 2 = 34

A‐B‐D‐I‐J = 4+ 6+ 9+ 6+ 2 = 27

A‐ B‐ E‐ I‐ J = 4 + 6 + 11 + 6 + 2 = 29

*Answer can only contain numeric values
Test: CPM & PERT Level - 3 - Question 13
Save

Expected completion time of the project is _______

Detailed Solution for Test: CPM & PERT Level - 3 - Question 13

1‐ 2‐ 3‐ 5‐ 7‐ 8‐ 10 = 19

1‐ 2‐ 3‐ 5‐ 7‐ 9‐ 10 = 24

1‐ 2‐ 4‐ 5‐ 7‐ 8‐ 10 = 19

1‐ 2‐ 4‐ 5‐ 7‐ 9‐ 10 = 24

1‐ 2‐ 4‐ 6‐ 7‐ 8‐ 10 = 23

1‐ 2‐ 4‐ 6‐ 7‐ 9‐ 10 = 22

*Answer can only contain numeric values
Test: CPM & PERT Level - 3 - Question 14
Save

Consider the following construction project.

If the indirect cost is Rs.20, find the optimal completion time of the project.

Detailed Solution for Test: CPM & PERT Level - 3 - Question 14

Paths are:

1‐ 2‐ 5 = 6 + 8 = 14

1‐ 2‐ 4‐ 5 = 6 + 5 + 2 = 13

1‐ 3‐ 4‐ 5 = 5 + 5 + 2 = 12

i) Total cost = Direct + Indirect Direct = 50 + 80 + 80 + 100 + 140 + 60 = 510

= 510 + 20 × 14

= 790 Rs

ii) Crash ′1‐ 2′activity by 2 day TC = 510 + 15 × 2 + 20 × 12

= 780

iii) Crash 2-5, 3-4 by 1 day TC = (510 + 15 × 2 + 100 × 1 + 20 × 1)+ 20 × 11

= 880

Cost is increasing so, we can stop Optimal duration is that when the total cost is minimum Optimal completion time = 12 days

*Answer can only contain numeric values
Test: CPM & PERT Level - 3 - Question 15
Save

An R & D project has following activities to be performed. The time estimates are given in the table.

The number of days required to complete the project with a probability of 50% is __________

Detailed Solution for Test: CPM & PERT Level - 3 - Question 15

A‐ D‐ H = 6 + 2 + 10 = 18

A‐D‐G‐J = 6 +2 +5 +8 = 21

C‐ H = 9 + 10 = 19

C‐G‐J = 9+ 5+ 8 = 22

B‐ E‐ H = 4 + 7 + 10 = 21

B‐E‐G‐J = 4 + 7 + 5 + 8 = 24∗

B‐F‐I = 4+ 8+ 4 = 16

Expected completion time of the project itself gives the completion time of project with 50% probability.

μ = 24

Test: CPM & PERT Level - 3 - Question 16
Save

Convert the given AON network to that of AOA network The numbers of dummy activities in the network diagram are
Detailed Solution for Test: CPM & PERT Level - 3 - Question 16

No. of dummies = 1

*Answer can only contain numeric values
Test: CPM & PERT Level - 3 - Question 17
Save

A project consist of activities with the following data

The overhead cost per day is given as Rs.100. The minimum duration of the project with which minimum cost is associated ___________

Detailed Solution for Test: CPM & PERT Level - 3 - Question 17

Paths:

A‐ D = 8 + 10 = 18

B‐ C‐ D = 5 + 5 + 10 = 19 (critical path)

(i) Total cost = direct cost + Indirect cost

Direct cost = 100 + 200 + 150 + 300 = 750 TC = 750 + 100 × 20

= Rs. 2750

(ii) crash activity ‘B’ as it is having minimum cost slope by ‘1’ days TC

= [750 + (40 × 1) + 100 × 19

= Rs. 2690

(iii) crash activity ‘D’ by 1 day TC = (750 + 40 × 1 + 100 × 1) + 100 × 18

= 2690

No further possibility to crash minimum cost

= 2690 Duration

= 18 days

Test: CPM & PERT Level - 3 - Question 18
Save

Given that the direct fixed cost is Rs.4000. Find the optimal completion time of the project and the cost associated with it, if the overhead cost is Rs.260/day.
Detailed Solution for Test: CPM & PERT Level - 3 - Question 18

Paths are:

A‐ B‐ E‐ F‐ G‐ I = 3 + 3 + 5 + 6 + 4 + 10 = 31 30

A‐ B‐ E‐ F‐ H = 3 + 3 + 5 + 6 + 10 = 27 26

A‐ C‐ F‐ G‐ I = 3 + 7 + 6 + 4 + 10 = 30

A‐C‐F‐H = 3 + 7 + 6 + 13 = 29

A‐D‐F‐G‐ I = 3 + 9 + 6 + 4 + 10 = 32∗ 31 30

A‐D‐F‐H = 3 + 9 + 6 + 13 = 31 30 29

(i) TC = 4000 + 260 × 32 = 12,320

(ii) Crash activity ‘D’ by 1 day TC = (4000 + 250 × 1) + 260 × 31

= 12,310

(iii) Crash B, D each by 1 day TC = (4000 + 250 × 1 + 30 × 1 + 250× 1) + 260 × 30

= 12,330

Optimal time = 31

Cost = 12310

*Answer can only contain numeric values
Test: CPM & PERT Level - 3 - Question 19
Save

Consider the data of a project. If the indirect cost per week is Rs.160. find the total cost after crashing two weeks?

Detailed Solution for Test: CPM & PERT Level - 3 - Question 19

Draw a network diagram for given data and find the critical path.

Crash the critical activity 1-3 for 2 weeks.

∴ Total cost = Total normal cost +Indirect cost + slope cost − decrease in Indirect cost

= 5900 + 4000 + [50 × 2] − [160 × 2]

Total cost = 5900 + 4000 + 100 − 380 = Rs. 9680

*Answer can only contain numeric values
Test: CPM & PERT Level - 3 - Question 20
Save

A project consists of activities for which exact completion times are not known. The project consist of fair parallel paths for which the mean and variance values are given as

What is the probability of completing the project in 29 days?

Detailed Solution for Test: CPM & PERT Level - 3 - Question 20

Longer path is the path which is having maximum value of mean. It is the critical path.

Critical path duration = 32 days = μ variance = 9 = σ2

Standard deviation = σ = 3

z = −1

At z = −1; P = 16%

= 0.16

30 videos|40 docs|30 tests
Join Course
Information about Test: CPM & PERT Level - 3 Page
In this test you can find the Exam questions for Test: CPM & PERT Level - 3 solved & explained in the simplest way possible. Besides giving Questions and answers for Test: CPM & PERT Level - 3, EduRev gives you an ample number of Online tests for practice

Top Courses for Mechanical Engineering

30 videos|40 docs|30 tests
Join Course
Download as PDF

Top Courses for Mechanical Engineering

Important Questions for CPM & PERT Level - 3

Find all the important questions for CPM & PERT Level - 3 at EduRev.Get fully prepared for CPM & PERT Level - 3 with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the CPM & PERT Level - 3 syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of CPM & PERT Level - 3 resources.

CPM & PERT Level - 3 MCQs with Answers

Prepare for the CPM & PERT Level - 3 within the Mechanical Engineering exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for CPM & PERT Level - 3 Industrial Engineering

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace CPM & PERT Level - 3 with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup