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Aligarh Muslim University Entrance Exam (M. Tech) - XE-B: Fluid Mechanics Exam Pattern

Exam Pattern

Aligarh Muslim University (AMU) Competitive Entrance Exam (M.Tech) - XE-B: Fluid Mechanics follows GATE Exam pattern 

The exam will be conducted by an ONLINE Computer Based Test (CBT). In all the papers, there will be a total of 65 questions carrying 100 marks, out of which 10 questions carrying a total of 15 marks are in General Aptitude (GA). In AMU - XE-B: Fluid Mechanics the Engineering Mathematics will carry around 15% of the total marks, the General Aptitude section will carry 15% of the total marks and the remaining 70% percentage of the total marks is devoted to the subject of the paper.

Multiple Choice Questions (MCQ) carrying 1 or 2 marks each in all papers and sections. These questions are objective in nature, and each will have a choice of four answers, out of which the candidate has to mark the correct answer(s).

Numerical Answer Questions of 1 or 2 marks each in all papers and sections. For these questions the answer is a real number, to be entered by the candidate using the virtual keypad. No choices will be shown for this type of questions.

General Aptitude (GA) Questions

In all papers, GA questions carry a total of 15 marks. The GA section includes 5 questions carrying 1 mark each (sub-total 5 marks) and 5 questions carrying 2 marks each (sub-total 10 marks).

Engineering Mathematics and Subject Knowledge

These papers would contain 25 questions carrying 1 mark each (sub-total 25 marks) and 30 questions carrying 2 marks each (sub-total 60 marks).  

XE Paper (Engineering Sciences)

In XE paper, Engineering Mathematics section (Section A) is compulsory. This section contains 11 questions carrying a total of 15 marks: 7 questions carrying 1 mark each (sub-total 7 marks), and 4 questions carrying 2 marks each (sub-total 8 marks). Some questions may be of numerical answer type questions.

Each of the other sections of the XE paper (Sections B through G) contains 22 questions carrying a total of 35 marks: 9 questions carrying 1 mark each (sub-total marks) and 13 questions carrying 2 marks each (sub-total 26 marks). Some questions may be of numerical answer type.

Note on Negative Marking for Wrong Answers

For a wrong answer chosen for the multiple choice questions, there would be negative marking. For 1-mark multiple-choice questions, 1/3 mark will be deducted for a wrong answer. Likewise, for 2-mark multiple-choice questions, 2/3 mark will be deducted for a wrong answer. However, there is no negative marking for a wrong answer in numerical answer type questions.

Test duration- 3 hours

Marking System – For 1-mark multiple-choice questions, 1/3 mark will be deducted for a wrong answer. Likewise, for 2-marks multiple-choice questions, 2/3 mark will be deducted for a wrong answer. There is no negative marking for numerical answer type questions.

Syllabus Summary

No. Of Subject 17
No. Of Unit 20
No. Of Chapter 101
Chapters
  1. Limit, continuity and partial derivatives
  2. Directional derivative
  3. Total derivative
  4. Tangent Plane and Normal Line
  5. Maxima, minima and saddle points
  6. Method of Lagrange Multipliers
  7. Double and Triple Integrals
Chapters
  1. Limit, Continuity and Differentiability
  2. Mean value theorems
  3. Indeterminate forms and L'Hospital's rule
  4. Maxima and minima
  5. Taylor's theorem
  6. Fundamental theorem
  7. Mean Value-Theorems
  8. Evaluation of definite and improper integrals
Chapters
  1. Convergence of Sequence and Series
  2. Tests for Convergence
  3. Power series
  4. Taylor's series
  5. Fourier Series
  6. Half range Sine and Cosine Series
Chapters
  1. Fully developed pipe flow
  2. Laminar and Turbulent Flows
  3. Darcy-Weisbach Relation
Chapters
  1. Concept and assumptions
  2. Qualitative idea of boundary layer and separation
  3. Streamlined and bluff bodies
  4. Flow Measurements
Chapters
  1. First Order equations
  2. Higher Order linear differential equations
  3. Second Order linear differential equations
  4. Cauchy-Euler equation
  5. Legendre Polynomials
  6. Bessel Functions
Chapters
  1. Algebra of matrices
  2. Inverse and rank of a matrix
  3. System of linear equations
  4. Determinants
  5. Eigenvalues and Eigenvectors
  6. Diagonalisation of Matrices
  7. Cayley-Hamilton Theorem
Chapters
  1. Axioms of Probability
  2. Conditional Probability
  3. Bayes' Theorem
  4. Discrete and continuous random Variables
  5. Binomial, Poisson and normal Distributions
  6. Correlation and Linear Regression
Chapters
  1. Method of separation of Variable
  2. Laplace equation
  3. Solutions of one dimensional heat and wave Equations
Chapters
  1. Control volume analysis for Mass, Momentum
  2. Control volume analysis for Energy
Chapters
  1. Concept of geometric, kinematic and dynamic similarity
  2. Reynolds number
  3. Froude number and Mach number
Chapters
  1. Eulerian and Lagrangian description
  2. Concept of local and Convective Accelerations
  3. Steady and Unsteady Flows
Chapters
  1. Analytic Functions
  2. Cauchy-Riemann Equations
  3. Line Integral
  4. Cauchy's Integral Theorem
  5. Taylor's series and Laurent Series
  6. Residue theorem
Chapters
  1. Numerical computation
  2. Numerical Estimation
  3. Numerical Reasoning
  4. Data Interpretation
Chapters
  1. English grammar
  2. Sentence Completion
  3. Verbal Analogies
  4. Word Groups
  5. Instructions
  6. Critical Reasoning
  7. Verbal Deduction
Chapters
  1. Gradient
  2. Divergence and Curl
  3. Line and surface integrals
  4. Green's theorem
  5. Stokes theorem and Gauss divergence theorem
Chapters
  1. Bernoulli’s Equation
  2. Elementary Plane Flows
  3. Potential Flow
  4. Simple Geometries
Chapters
  1. Gauss Elimination and Gauss-Seidel Methods
  2. Lagrange and Newton's interpolations
  3. Newton-Raphson method
  4. Trapezoidal rule
  5. Simpson's rule and Gaussian Quadrature Rule
  6. Euler's method
  7. 4th order Runge-Kutta method
Chapters
  1. Differential equations
  2. Inviscid - Euler equation
  3. Viscous flows - Navier-Stokes Equations
  4. Couette Flow and Poiseuille Flow
Chapters
  1. Viscosity
  2. Relationship between Stress and Strain-rate
  3. Newtonian Fluids
  4. Incompressible and Compressible Flows
  5. Laminar and Turbulent flows
  6. Hydrostatics

How to prepare

Preparation Strategy

Make a proper Time Table

It is very important that you make a time table and stick to it and you will have an exact idea of what you are required to study and the time required for it.

Concept clarity rather than rote learning

It is essential that you have a clear idea of the formulas and concepts rather than rote learning of things for the papers. While you might require it for memorizing formulas it is important that for other stuff you make sure you clear your basis and concepts before moving on.

Prepare Notes

It is very important make small notes or a comprehensive list of formulas on each covered topic and chapter which will come in handy at the time of revision. This will require you to be regular with your work but will surely make things easy at the time of revision.

Revision of Class XI and XII concepts

Make sure that you revise your concepts from the syllabus of these classes before starting anything new as most of the engineering exams will be for admission to undergraduate courses and so the syllabi from class XI and XII becomes the testing ground to check students.

Seek guidance

It is not possible for you to know everything in your syllabus, at least not at the time of preparation. Sooner or later you will run into a concept or so which will give you trouble and then it is best you seek guidance from an instructor or a teacher. It is necessary that you clear your doubts at regular intervals and don’t prolong things for long. Getting into a good coaching class is nothing to be ashamed off and if anything a regular coaching class will enable you to avoid roadblocks in your preparation.

Sample Papers

Even though there may be a complete change in the exam pattern or the expected questions altogether,it is important that you practice on the sample and previous years question papers available for the engineering exam you’d be attempting. You will know the existing pattern and have a fair idea of the type of questions to expect in the paper along with the time constraint.

Mock tests

The paper pattern, duration of the paper and the number of questions to be attempted in the given amount of time is not something you will be able to pick up on the day of the examination. A Mock Test tests a student’s abilities as it not only provides a similar feel of real exams but also helps in building speed and confident to face the exam. Furthermore, they can improve their performance to get an extra edge in actual exams. Try to build up an Engineering Entrance Exam Test Prep MCQ Question Bank

Time management

Time management can be learned through thorough practice and regular test taking. So it is important that you practice it and practice it well.

Negative marking

Most the entrance examinations will have negative marking and everyone would suggest you stay clear of questions are not sure about. But some experts are of the opinion that you answer the questions in which you are confused between an option or two because there will also be a chance of getting it right.

Duration : 2 Hours

Important Instructions

Fees 300 Application process 1. Fill up the ONLINE Application Form by following the instructions given above. Take the Printout of the PDF Generated Application Form on A-4 Size paper (applying ONLINE) OR Download the appropriate Application Form from the website meant for the course for which the candidate wishes to apply and get it printed on A-4 size paper. Fill up the Application Form by following the instructions given above in CAPITAL letters using black ball point pen (applying OFFLINE) 2. Put your thumb impression, signature and paste your recent photographs at the designated place on the Application Form. 3. Attach the appropriate Demand Draft along with other relevant document(s) with the Application Form and do not fold or mutilate it in any way. 4. Application Form (PDF Generated copy) must be submitted by hand or through Registered Post / Speed Post / Courier so as to reach the respective offices as given under each course of study.up to 5:00 PM on or before the last date of receipt. Note: 1. Candidates are advised to retain a photocopy of their filled-in form for future reference. 2. Candidates’ submitting the Application Form by post must put the same inside an A-4 Size Envelope and paste the Postal Slip (given with the Form) on the top of the Envelope before posting it. 3. Acknowledgement Slip will be given for Application Forms submitted by hand only. However, candidates who submit their Application Form by post may check the status of their Application Form on the website. Reservation policy- PWD (PH Category) candidates having 40% disability are exempted from the payment of Admission Test/Processing charges. They should select Demand Draft Mode and fill the DD No. as 00000.