# Gate Mech

For 1mark 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. However,for the linked answer question pair, where each question carries 2 marks, 2/3 mark will bededucted for a wrong answer to the first question only. There is no negative marking for wronganswer to the second question of the linked answer question pair. If the first question in thelinked pair is wrongly answered or is unattempted, then the answer to the second question in the pair will not be evaluated. There is no negative marking for numerical answer type questions. 4.4.1 General Aptitude (GA) Questions

In all papers, GA questions are of multiple choice type, and carry a total of 15 marks. The GAsection includes 5 questions carrying 1 mark each (sub-total 5 marks) and 5 questions carrying 2marks each (sub-total 10 marks) 4.4.2 Question papers other than GG, XE and XL

These papers would contain 25 questions carrying one mark each (sub-total 25 marks) and 30questions carrying two marks each (sub-total 60 marks). Out of these, two pairs of questionswould be common data questions, and two pairs of questions would be linked answer questions.

4.5.15 MechanicalEngineering

Engineering Mathematics

Linear Algebra: Matrix algebra, Systems of linear equations, Eigen values and eigen vectors. Calculus: Functions of single variable, Limit, continuity and differentiability, Mean value theorems,Evaluation of definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima,Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems. Differential equations: First order equations (linear and nonlinear), Higher order linear differential equations with constant coefficients, Cauchy’s and Euler’s equations, Initial and boundary value problems, Laplace transforms,...

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