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GATE
(Graduate Aptitude Test in Engineering)
Mechanical Engineering
Trishna Knowledge Systems
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Copyright © 2018 Pearson India Education Services Pvt. Ltd
Published by Pearson India Education Services Pvt. Ltd, CIN: U72200TN2005PTC057128.
No part of this eBook may be used or reproduced in any manner whatsoever without the publisher’s
prior written consent.
This eBook may or may not include all assets that were part of the print version. The publisher
reserves the right to remove any material in this eBook at any time.
ISBN 978-93-325-8279-8
eISBN: 978-93-530-6196-8
Head Office: 15th Floor, Tower-B, World Trade Tower, Plot No. 1, Block-C, Sector 16,
Noida 201 301, Uttar Pradesh, India.
Registered Office: 4th Floor, Software Block, Elnet Software City, TS 140, Block 2 & 9,
Rajiv Gandhi Salai, Taramani, Chennai - 600 113, Tamil Nadu, India.
Fax: 080-30461003, Phone: 080-30461060
www.pearson.co.in, Email: [email protected]
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Contents
Preface viii
Key Pedagogical Features x
Syllabus: Mechanical Engineering xii
Chapter-wise Analysis of Previous Years’ Papers xiii
General Information about GATE xiv
Solved Papers 2017 xvii
Solved Papers 2018 xlix
PART I General Aptitude 1.1
PART A Verbal Ability
Chapter 1 Grammar 1.5
Chapter 2 Vocabulary 1.50
PART B Numerical Ability
UNIT I Quantitative Aptitude 1.73
Chapter 1 Simple equationS 1.75
Chapter 2 Ratio-pRopoRtion-VaRiation 1.81
Chapter 3 numbeRS 1.87
Chapter 4 peRcentage, pRofit and loSS 1.102
Chapter 5 Simple inteReSt and compound inteReSt 1.109
Chapter 6 aVeRageS, mixtuReS and alligationS 1.115
Chapter 7 time and WoRk 1.122
Chapter 8 time and diStance 1.128
Chapter 9 indiceS, SuRdS, logaRithmS 1.134
Chapter 10 quadRatic equationS 1.141
Chapter 11 inequalitieS 1.147
Chapter 12 pRogReSSionS 1.151
Chapter 13 peRmutationS and combinationS 1.157
Chapter 14 data inteRpRetation 1.165
UNIT II Reasoning 1.181
Chapter 1 numbeR and letteR SeRieS 1.183
Chapter 2 analogieS 1.189
Chapter 3 odd man out (claSSification) 1.192
Chapter 4 coding and decoding 1.195
Chapter 5 blood RelationS 1.199
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vi | Contents
Chapter 6 Venn diagRamS 1.204
Chapter 7 Seating aRRangementS 1.208
Chapter 8 puzzleS 1.216
Chapter 9 clockS and calendaRS 1.229
PART II Engineering Mathematics 2.1
Chapter 1 lineaR algebRa 2.3
Chapter 2 calculuS 2.17
Chapter 3 diffeRential equationS 2.43
Chapter 4 complex VaRiableS 2.69
Chapter 5 pRobability and StatiSticS 2.81
Chapter 6 numeRical methodS 2.100
PART III Mechanical Engineering 3.1
UNIT I Engineering Mechanics 3.3
Chapter 1 intRoduction – foRceS, equilibRium 3.5
Chapter 2 fRee body diagRamS – tRuSSeS 3.17
Chapter 3 fRiction, centRe of gRaVity, moment of ineRtia 3.31
Chapter 4 RectilineaR motion 3.54
Chapter 5 cuRVilineaR motion 3.75
UNIT II Strength of Materials 3.93
Chapter 1 Simple StReSSeS and StRainS 3.95
Chapter 2 compound StReSSeS, SheaR foRce and bending momentS 3.108
Chapter 3 StReSSeS in beamS, cylindeRS and SpheReS 3.122
Chapter 4 deflection of beamS 3.138
Chapter 5 toRSion of ShaftS and SpRingS columnS 3.150
UNIT III Theory of Machine, Vibrations and Design 3.167
Chapter 1 kinematicS and dynamicS of mechaniSmS 3.169
Chapter 2 flyWheelS and geaR tRainS 3.229
Chapter 3 VibRationS 3.254
Chapter 4 theoRieS of failuRe, Static and dynamic loading 3.318
Chapter 5 deSign of machine elementS 3.340
UNIT IV Fluid Mechanics 3.387
Chapter 1 fluid pRopeRtieS and manometRy 3.389
Chapter 2 fluid pReSSuRe and buoyancy 3.415
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Contents | vii
Chapter 3 fluid kinematicS and dynamicS 3.435
Chapter 4 ViScouS floW of incompReSSible fluidS 3.473
Chapter 5 tuRbo machineRy 3.502
UNIT V Heat Transfer 3.527
Chapter 1 conduction 3.529
Chapter 2 foRced conVection 3.558
Chapter 3 natuRal conVection and maSS tRanSfeR 3.573
Chapter 4 Radiation and heat tRanSfeR 3.583
Chapter 5 heat exchangeR, boiling and condenSation 3.600
UNIT VI Thermodynamics 3.619
Chapter 1 baSic conceptS of theRmodynamicS and fiRSt laW of theRmodynamicS 3.621
Chapter 2 Second laW of theRmodynamicS 3.650
Chapter 3 pRopeRtieS of puRe SubStanceS 3.679
Chapter 4 inteRnal combuStion (ic) engineS 3.694
Chapter 5 theRmodynamic cycle 3.711
Chapter 6 RefRigeRation and aiR conditioning 3.739
UNIT VII Manufacturing Technology 3.761
Chapter 1 StRuctuRe and pRopeRtieS of mateRialS 3.763
Chapter 2 metal caSting and foRming 3.784
Chapter 3 Sheet metal WoRking, Joining pRoceSSeS 3.813
Chapter 4 machining and machine tool opeRationS 3.833
Chapter 5 metRology and inSpection, computeR integRated manufactuRing 3.858
UNIT VIII Industrial Engineering 3.885
Chapter 1 WoRk Study 3.887
Chapter 2 pRoduction planning and contRol 3.896
Chapter 3 mateRial RequiRement planning and inVentoRy contRol 3.914
Chapter 4 opeRationS ReSeaRch-1 3.934
Chapter 5 netWoRk analySiS and queuing theoRy 3.965
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Preface
Graduate Aptitude Test in Engineering (GATE) is one of the preliminary tests for undergraduate subjects in Engineering/
Technology/Architecture and postgraduate subjects in Science stream only.
The number of aspirants appearing for the GATE examination is increasing significantly every year, owing to multifac-
eted opportunities open to any good performer. Apart from giving the aspirant a chance to pursue an M.Tech. from insti-
tutions like the IITs /NITs, a good GATE score can be highly instrumental in landing the candidate a plush public sector
job, as many PSUs are recruiting graduate engineers on the basis of their performance in GATE. The GATE examination
pattern has undergone several changes over the years—sometimes apparent and sometimes subtle. It is bound to continue
to do so with changing technological environment.
GATE Mechanical Engineering, as a complete resource helps the aspirants be ready with conceptual understanding,
and enables them to apply these concepts in various applications, rather than just proficiency with question types. Topics
are handled in a comprehensive manner, beginning with the basics and progressing in a step-by-step manner along with
a bottom-up approach. This allows the student to better understand the concept and to practice applicative techniques in
a focused manner. The content has been systematically organized to facilitate easy understanding of all topics. The given
examples will not only help the students to understand the concepts involved in the problems but also help to get a good
idea about the different models of problems on a particular topic. Due care has also been taken to cover a very wide range
of problems including questions that have been appearing over the last few years in GATE examination.
The practice exercises in every chapter, contain questions ranging from simple to moderate to difficult level. These exer-
cises are meant to hone the examination readiness over a period of time. At the end of each unit, practice tests have been
placed. These tests will help the student assess their level of learning on a regular interval.
This book has been prepared by a group of faculty who are highly experienced in training GATE candidates and are also
subject matter experts. As a result, this book would serve as an effective tool for GATE aspirant to crack the examination.
Salient Features of Revised Edition
1. Elaborate question bank covering previous 15 years’ GATE question papers
2. 5 free online mock tests for practice
3. Detailed coverage of key topics
4. Complete set of solved 2017 and 2018 GATE online papers with chapter-wise analysis
5. Exhaustive pedagogy:
(a) More than 1700 Solved Examples
(b) More than 6000 Practice Questions
(c) Unit-wise time-bound tests
(d) Modular approach for easy understanding
We would like to thank the below-mentioned reviewers for their valuable feedback and suggestions which has helped
in shaping this book.
Ravinderjit Singh Walia Associate Professor, Delhi Technological University, Main Bawana Road, Delhi
Rajesh Kumar Associate Professor, Delhi Technological University, Main Bawana Road, Delhi
Pushpendra Singh Associate Professor, Delhi Technological University, Main Bawana Road, Delhi
Raj Kumar Singh Associate Professor, Delhi Technological University, Main Bawana Road, Delhi
Atul Agarwal Associate Professor, Delhi Technological University, Main Bawana Road, Delhi
Vijay Shanker HoD, Fluid Mechanics, Lovely Professional University, Phagwara, Punjab
M Sreedhar Assistant Professor, Lovely Professional University, Phagwara, Punjab
Anil Kumar Reddy Padidam Assistant Professor, Lovely Professional University, Phagwara, Punjab
Anil Ghubade Assistant Professor, Lovely Professional University, Phagwara, Punjab
Harpinder Singh Assistant Professor, Lovely Professional University, Phagwara, Punjab
Pradeep Sharma Subject Matter Expert, Electrical Engineering
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Andriya Narasimhula Assistant Professor, Netaji Subhas Institute of Technology, Dwarka, Delhi
Uday Pratap Singh Assistant Professor, JSS Academy of Technical Education, Sector-62, Noida ( U.P.)
Vinay Lecturer, Lovely Professional University, Phagwara, Punjab
Despite of our best efforts, some errors may have inadvertently crept into the book. Constructive comments and suggestions
to further improve the book are welcome and shall be acknowledged gratefully.
Wishing you all the very best!
—Trishna Knowledge Systems
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