#### ESE / GATE / PSUs Numerical Ability, Theory & self practice questions

The study material for Numerical Ability is thoroughly revised this year to meet the requirements of all categories of students. It consists of

(i) Brief synopsis covering the entire syllabus

(ii) Worked out examples, concept wise

(iii) Practice questions with detailed solutions

The students are advised to go through the theory duly understanding the worked out examples to the extent possible and practice the questions, By doing so, the students will get familiarized with some of the concepts and can really enjoy the lecture in the class. Also, the students can interact with the faculty in a better way.

After attending the classes and understanding the typical questions explained by the professors, the students will be in a position to solve these questions in work book. However, for verifying the correctness, Hints/solutions are also given wherever required. The student is advised to struggle to get the solution for the problems in the work book by self analysis and not to refer the solution first.

Thanks to all Professors who extended their services in the preparation of this booklet.

It is believed that this volume is also a valuable aid to the students appearing for competitive exams like ESE, ISRO, State and Central Commissions and other PSUs.

#### ESE/GATE/PSUs Handbook on Electrical Engineering

The present Hand Book on Electrical Engineering is an outcome of an attempt to have a single book on basic concepts and important formulae for Electrical Engineering students those who are preparing for various competitive exams like GATE, ESE, SSC, RRB, GENCO, TRANSCO, DISCOMs, State Commissions and other PSUs.

This book has been prepared y our subject experts by compiling it subject wise and chapter wise to help students for quick revision of the subject, to recollect the basic concepts and formulae before going to exam.

One of the innovations of this book is, we provided popular interview questions at the end of each subject, which help the students before going to any interview.

#### GATE – 2020 Civil Engineering Previous GATE Questions with solutions

Features of the Book

- Contains previous questions with solutions from 1987 onwards
- All questions are segregated Subject-wise & Chapter-wise
- On point, clear & error free solutions to questions
- Thoroughly updated & revised

The style, quality and content of the Solutions for previous GATE Questions of Civil Engineering, will encourage the reader, especially the student whether above average, average or below average to learn the concept and answer the question in the subject without any tension. However it is the reader who should conform this and any comments and suggestions would be pleasantly received by the Academy.

The student should not miss to go through the solutions for conventional questions asked prior to 2003, as more concepts are brought out in them that will facilitate to answer the numerical answer questions, Common data and Linked answer questions, if any, easily.

The student is advised to solve the problems without referring to the solutions. The student has to analyze the given question carefully, identify the concept on which the question is framed, recall the relevant equations, find out the desired answer, verify the answer with the final key such as (a), (b), (c), (d), then go through the hints to clarify his answer. This will help to face numerical answer questions, better. The student is advised to have a standard text book ready for reference to strengthen the related concepts, if necessary. The student is advised not to write the solution steps in the space around the question. By doing so, he loses an opportunity of effective revision.

As observed in the GATE – 16, Number of sets may be possible, being online exams. Hence, don’t skip any subject. All are the equally important.

It is believed that this book is a Valuable aid to the students appearing for competitive exams like IES, JTO, DRDO, ISRO and Other PSUs. This book can also be used by fresh Teachers in Engineering in improving their Concepts.

Mathematics & General Aptitude Previous Questions & Solutions of GATE of all branches are available in a separate booklet.

#### GATE – 2020 Computer Science And Information Technology Previous GATE Questions with Solutions

Features of the Book

- Contains previous questions with solutions from 1987 onwards
- All questions are segregated Subject-wise & Chapter-wise
- On point, clear & error free solutions to questions
- Thoroughly updated & revised

The style, quality and content of the Solutions for previous GATE Questions of Computer Science & Information Technology, will encourage the reader, especially the student whether above average, average or below average to learn the concept and answer the question in the subject without any tension. However it is the reader who should conform this and any comments and suggestions would be pleasantly received by the Academy.

The student should not miss to go through the solutions for conventional questions asked prior to 2003, as more concepts are brought out in them that will facilitate to answer the numerical answer questions, Common data and Linked answer questions, if any, easily.

The student is advised to solve the problems without referring to the solutions. The student has to analyze the given question carefully, identify the concept on which the question is framed, recall the relevant equations, find out the desired answer, verify the answer with the final key such as (a), (b), (c), (d), then go through the hints to clarify his answer. This will help to face numerical answer questions, better. The student is advised to have a standard text book ready for reference to strengthen the related concepts, if necessary. The student is advised not to write the solution steps in the space around the question. By doing so, he loses an opportunity of effective revision.

It is believed that this book is a Valuable aid to the students appearing for competitive exams like IES, JTO, DRDO, ISRO and Other PSUs. This book can also be used by fresh Teachers in Engineering in improving their Concepts.

General Aptitude Previous Questions & Solutions of GATE of all branches are available in a separate booklet.

#### GATE – 2020 Electrical Engineering Previous GATE Questions with solutions, Subjectwise & Chapterwise

Features of the Book

- Contains previous questions with solutions from 1991 onwards
- All questions are segregated Subject-wise & Chapter-wise
- On point, clear & error free solutions to questions
- Thoroughly updated & revised

The style, quality and content of the Solutions provided for previous GATE Questions of Electrical Engineering, will encourage the readers to learn & understand the concept thoroughly and answer the questions without any tension. However, reader comments and suggestions are always welcomed by the Academy.

The student must go through the solutions for conventional questions asked prior to 2003, to bridge up the concepts by solving conventional questions, this will facilitate the students to answer numerical type questions, and also Common data and Linked questions, easily.

The student is advised to solve the problems without referring the solutions. The student has to analyze the given question carefully, identify the concept on which the question is framed, recall the relevant equations, find out the desired answer, verify the answer with the final key such as (a), (b), (c), (d), then go through the hints to clarify his answer. This will help to face numerical questions, better. The student Is advised to have a standard text book ready for reference to strengthen the related concepts, if necessary. The student is advised not to write the solution steps in the space around the question. By doing so, he lose an opportunity of effective revision.

In 2018, for the first time, one single set of question paper Is prepared to conduct the online examination for all candidates who are appearing for the exam. In GATE-19, (EE) around 42% of question paper is asked in the form of numerical type. Framing of questions in the forth coming examinations may turn difficult. Because, examiners need to prepare a single set of question paper, covering wide range of topics from the whole syllabus, due to which it turns difficult for students to make any predictions in the examination. Students are strongly advised to cover whole of the syllabus without leaving any topic in any subject while their preparation.

It is believed that this book is a Valuable aid to the students appearing for competitive exams like ESE, ISRO and Other PSUs. This book can also be used by fresh Teachers who are into Engineering to improving their teaching Concepts.

GATE Previous Questions & Solutions of Mathematics & General Aptitude for all branches are available in separate booklets.

#### GATE – 2020 Mechanical Engineering Previous GATE Questions with solutions

Features of the Book

- Contains previous questions with solutions from 1992 onwards
- All questions are segregated Subject-wise & Chapter-wise
- On point, clear & error free solutions to questions
- Thoroughly updated & revised

The style, quality and content of the Solutions for previous GATE Questions of Mechanical Engineering, will encourage the reader, especially the student whether above average, average or below average to learn the concept and answer the question in the subject without any tension. However it is the reader who should conform this and any comments and suggestions would be pleasantly received by the Academy.

The student should not miss to go through the solutions for conventional questions asked prior to 2003, as more concepts are brought out in them that will facilitate to answer the numerical answer type questions, Common data and Linked answer questions, if any, easily.

The student is advised to solve the problems without referring to the solutions. The student has to analyze the given question carefully, identify the concept on which the question is framed, recall the relevant equations, find out the desired answer, verify the answer with the final key such as (a), (b), (c), (d), then go through the hints to clarify his answer. This will help to face numerical answer questions, better. The student is advised to have a standard text book ready for reference to strengthen the related concepts, if necessary. The student is advised not to write the solution steps in the space around the question. By doing so, he loses an opportunity of effective revision.

As observed in the GATE – 16 and thereafter, number of sets may be possible, being online exams. Hence, don’t skip any subject. All are the equally important.

It is believed that this book is a Valuable aid to the students appearing for competitive exams like IES, JTO, DRDO, ISRO and Other PSUs. This book can also be used by fresh lecturers in Engineering in improving their Concepts.

Mathematics & General Aptitude Previous Questions & Solutions of GATE of all branches are available in a separate booklet.

#### GATE & ESE- 2020 Engineering Mathematics PQS

This book contains previous GATE questions with solutions in **Engineering Mathematics**.

- Linear Algebra
- Calculus
- Vector Calculus
- Probability & Statistics
- Differential Equations
- Transform Theory
- Complex Variables
- Numerical Methods
- Fourier Series

By doing through these questions, the student will get a clear idea about the quality and complexity involved in the GATE. All most all the important concepts of the engineering mathematics are covered by these questions. Therefore, it is very important exercise for any student to practice these questions, to get a good rank in GATE.

The style, quality and content of the solutions for previous GATE Questions of Engineering mathematics, will encourage the reader, especially the student whether above average, average or below average to learn the concept and answer the question in the subject without any tension. However, it is the reader who should confirm this and any comments and suggestions would be pleasantly received by the academy.

The student is advised to solve the problems without referring to the solutions. The student has to analyze the given question carefully, identify the concept on which the question is framed, recall the relevant equations, find out the desired answer, verify the answer with the final key such as (a),(b),(c) & (d) then go through the hints to clarify his answer. This will help to face numerical answer questions, better. The student is advised to have a standard text book ready for reference to strengthen the related concepts, if necessary. The student is advised not to write the solution steps in the space around the question. By doing so, he loses an opportunity of effective revision.

As observed in the GATE -19, Number of sets may be possible, being online exams. Hence don’t skip any subject. All are equally important.

This book is also useful for UPSC ESE (prelims), ISRO and some other State Service Commission Examinations.

#### GATE-2020 Electronics & Communication Engineering Previous GATE Questions with Solutions

Features of the Book

- Contains previous questions with solutions from 1987 onwards
- All questions are segregated Subject-wise & Chapter-wise
- On point, clear & error free solutions to questions
- Thoroughly updated & revised

The style, quality and content of the Solutions provided for previous GATE Questions of Electronics & Telecommunication Engineering, will encourage the readers to learn & understand the concept thoroughly and answer the questions without any tension. However, reader comments and suggestions are always welcomed by the Academy.

The student must go through the solutions for conventional questions asked prior to 2003, to bridge up the concepts by solving conventional questions, this will facilitate the students to answer numerical type questions, and also Common data and Linked questions, easily.

The student is advised to solve the problems without referring the solutions. The student has to analyze the given question carefully, identify the concept on which the question is framed, recall the relevant equations, find out the desired answer, verify the answer with the final key such as (a), (b), (c), (d), then go through the hints to clarify his answer. This will help to face numerical questions, better. The student is advised to have a standard text book ready for reference to strengthen the related concepts, if necessary. The student is advised not to write the solution steps in the space around the question. By doing so, he lose an opportunity of effective revision.

In 2019, for the first time, one single set of question paper is prepared to conduct the online examination for all candidates who are appearing for the exam. In GATE-19, (ECE) around 51% of question paper is asked in the form of numerical type. It is expected that this will continue even in 2020. Framing of questions in the forth coming examinations may turn difficult. Because, examiners need to prepare a single set of question paper, covering wide range of topics from the whole syllabus, due to which it turns difficult for students to make any predictions in the examination. Students are strongly advised to cover whole of the syllabus without leaving any topic in any subject while their preparation.

It is believed that this book is a valuable aid to the students appearing for competitive exams like ESE, ISRO and Other PSUs. This book can also be used by fresh Teachers who are into Engineering to improving their teaching Concepts.

#### GATE-2020 Instrumentation Engineering Previous GATE Questions with Solutions

Features of the Book

- Contains previous questions with solutions from 1992 onwards
- All questions are segregated Subject-wise & Chapter-wise
- On point, clear & error free solutions to questions
- Thoroughly updated & revised

The style, quality and content of the Solutions provided for previous GATE Questions of Instrumentation Engineering, will encourage the readers to learn & understand the concept thoroughly and answer the questions without any difficulty or tension. However, readers comments and suggestions are always welcomed by the Academy.

The student must go through the solutions for conventional questions asked prior to 2003, to bridge up the concepts by solving conventional questions, this will facilitate the students to answer the numerical type questions, and also Common data and Linked questions, easily

The student is advised to solve the problems without referring to the solutions. The student has to analyze the given question carefully, identify the concept on which the question is framed, recall the relevant equations, find out the desired answer, verify the answer with the final key such as (a), (b), (c), (d), then go through the hints to clarify his answer. This will help to face numerical questions, better. The student is advised to have a standard text book ready for reference to strengthen the related concepts, if necessary. The student is advised not to write the solution steps in the space around the question. By doing so, he loses an opportunity of effective revision.

In 2019, for the first time, one single set of question paper is prepared to conduct the online examination for all candidates who are appearing for the exam. In GATE-19, (INST) around 51% of question paper is asked in the form of numerical type. It is expected that this will continue even in 2020. Framing of questions in the forth coming examinations may turn difficult. Because, examiners need to prepare a single set of question paper, covering wide range of topics from the whole syllabus, due to which it turns difficult for students to make any predictions in the examination. Students are strongly advised to cover whole of the syllabus without leaving any topic in any subject while their preparation.

It is believed that this book is a Valuable aid to the students appearing for competitive exams like ESE, ISRO and Other PSUs. This book can also be used by fresh Teachers who are into Engineering teaching to improving their Concepts.

#### GATE/PSUs Verbal Ability, Theory with Self Practice Questions

Dear Students,

The style quality and content of this book it is believed, will encourage the reader, especially the student whether above average, average or below average to learn the concept and answer the question in the subject without any tension. However it is the reader who should confirm this and any comments and suggestions would be pleasantly received by the Academy.

Thanks to all professors who extended their valuable services in the subjects of this Volume.

It is believed that this Volume is a Valuable aid to the students appearing for competitive exams like ESE, DRDO, ISRO and Other PSUs.

#### General Aptitude (Verbal & Numerical Ability) Previous GATE Questions with Solutions

This Book contains previous GATE Questions with solutions in General Aptitude.

By going through these questions, the student will get a clear idea about the quality and complexity involved in the GATE. All most all the important concepts of the Previous Questions from all streams are included for under standing the question pattern. Therefore, it is very important exercise for any student to practice these questions, to get a good rank in GATE.

The style, quality and content of the Solutions for previous GATE Questions of General Aptitude, will encourage the reader, especially the student whether above average, average or below average to learn the concept and answer the question in the subject without any tension. However, it is the reader who should confirm this and any comments and suggestions would be pleasantly received by the academy.

The student is advised to solve the problems without referring to the solutions. The student

has to analyze the given question carefully, identify the concept on which the question is framed, recall the relevant equations, find out the desired answer, verify the answer with the final key such as (a),(b),(c), (d), then go through the hints to clarify his answer. This will help to face numerical answer questions, better. The student is advised to have some standard reference book ready to strengthen the related concepts, if necessary. The student is advised not to write the solution steps in the space around the question. By doing so, he loses an opportunity of effective revision.

The book is very much useful for ESE (Prelims) State service Commission, Electricity boards and various PSUs examination.

This book can also be used by the students pursing B.E/B.Tech for various on campus/off campus placements.

#### MPSC Civil Engineering (Group A & B MAIN & Other State Level Examinations) Previous Years Objective Questions with Solutions, Subject wise & Chapter Wise

Many competitive exam aspirants experience tremendous preparation a few weeks before the real examination as they are not sure about the type of questions expected in the exam. It is very difficult to guess the possible questions in the competitive exam but there are ways to overcome this difficult situation. One such excellent option is solving the previous year’s question papers as a part of the preparation strategy. Solving previous years questions always gives a positive mindset before going to the real examination. This option may look simple and easy yet many aspirants do not include the practice of previous year’s questions in their preparation.

The primary benefits of preparing with previous year’s questions are the ability to understand the level of questions and prepare, gauge the importance of each individual subject by the number of questions appeared in previous years examination papers and further to identify key sub-areas within a subject by evaluating the number of questions appeared. These benefits are well known to the aspirants but the primary reason for not including previous year’s question papers in the preparation strategy is non-availability of quality and trustable resource which can provide not only the exact questions but also quality solutions to these questions.

We at ACE Engineering Academy identified this gap in the competitive exam preparation strategy of the aspirants and came up with a series of books on previous questions and solutions for various competitive exams such as GATE, ESE, PSUs, and other government recruitment examinations. The latest offering is in this series is MPSC Group A & B Main Examination questions book. This book is prepared by exclusive MPSC subject matter experts so that the solutions are optimized to the MPSC level. The unique feature in this book is that the previous year’s examination questions are categorized as subject wise, chapter wise so that the aspirant can integrate these questions along in their regular preparation.

A total of 3090 questions were included in this book which covers the last 5 years Paper I & II of MPSC main examinations and questions from other state level examinations. Complete care is taken in the preparation of solutions to the theoretical and numerical questions so that the theory behind the application is clear to the aspirants.