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GATE Exam Pattern
GATE Exam Pattern There are total 65 questions carrying 100 marks, out of which 10 questions carrying total of 15 marks are from General Aptitude (GA). The duration of GATE is 3 hours. The question paper consists of both multiple choice questions (MCQ) and numerical answer type questions.
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GATE Syllabus  Gate Syllabus for CSE Computer Science and Information Technology
CS Computer Science and Information Technology Gate Syllabus for Computer Science Engineering Syllabus for Computer Science and. Information Technology (CS) GATE Syllabus for CSE GATE Changes in Syllabus GATE CSE Syllabus What's new in GATE Computer Science (CS) GATE Exam Syllabus GATE 2017 Syllabus of CSE GATE CSE IT Syllabus (Computer Science & Information Technology) GATE Exam Syllabus
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GATE Syllabus  Gate Syllabus for Mechanical Engineering ME
GATE Mechanical Syllabus gate syllabus for mechanical engineering gate syllabus for mechanical engineering 2017 pdf gate syllabus for mechanical engineering 2017 gate question papers gate books for mechanical engineering gate syllabus for mechanical engineering pdf download gate syllabus for mechanical engineering pdf gate syllabus for mechanical engineering pdf gate exam syllabus for mechanical engineering gate syllabus for mechanical 2017 gate syllabus for me 2017 gate syllabus for me 2017 pdf gate syllabus for me pdf gate syllabus for me 2017 GATE Mechanical Engineering (ME) Syllabus
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GATE Syllabus  Gate Syllabus for ECE Electronics and Communication Engineering
Syllabus for Electronics and Communication Engineering GATE 2017 Syllabus for Electronics & Communication Engineering GATE ECE Syllabus (Electronics & Communication Engineering) gate syllabus for ece gate ece syllabus gate exam syllabus for ece gate syllabus ece
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GATE Syllabus  Gate Syllabus for EEE electrical engineering
gate syllabus for eee Syllabus for Electrical Engineering (EE) GATE Syllabus for Electrical Engineering  EE Syllabus for Electrical Engineering (EE) in GATE GATE 2017: Electrical Engineering (EE) syllabus Syllabus for EEE GATE 2017 Changes in Electrical Engineering (EE) Syllabus gate syllabus for electrical engineering 2017 gate syllabus for eee syllabus of gate syllabus for gate gate syllabus for electrical engineering gate electrical syllabus
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Gate Syllabus
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GATE Syllabus for Civil Engineering CE
gate syllabus for civil engineering gate syllabus for civil gate civil syllabus GATE Civil Engineering Syllabus Section 1: 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 ... and nonlinear algebraic equations; Least square approximation, Newton's and Lagrange polynomials, numerical differentiation, Integration by trapezoidal and Simpson's rule, single and multistep methods for first order differential equations.
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GATE Syllabus for Civil Engineering CE
gate syllabus for civil engineering gate syllabus for civil gate civil syllabus GATE Civil Engineering Syllabus Section 1: 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 ... and nonlinear algebraic equations; Least square approximation, Newton's and Lagrange polynomials, numerical differentiation, Integration by trapezoidal and Simpson's rule, single and multistep methods for first order differential equations.
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Gate Syllabus
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Consider the binary relation reflexive transitive closure
Consider the binary relation: S = {(x, y)  y = x+1 and x, y ∈ {0, 1, 2, ...}} The reflexive transitive closure of S is
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Set Theory & Algebra
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equivalence relations on a nonempty set
Let R and S be any two equivalence relations on a nonempty set A. Which one of the following statements is TRUE? A R ∪ S, R ∩ S are both equivalence relations B R ∪ S is an equivalence relation C R ∩ S is an equivalence relation D Neither R ∪ S nor R ∩ S is an equivalence relation
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Set Theory & Algebra
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relation R is defined on ordered pairs of integers as follows
A relation R is defined on ordered pairs of integers as follows: (x,y) R(u,v) if x < u and y > v. Then R is: Then R is: A Neither a Partial Order nor an Equivalence Relation B A Partial Order but not a Total Order C A Total Order D An Equivalence Relation
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Set Theory & Algebra
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number of ordered pairs in the largest and the smallest equivalence relations
Let S be a set of nelements. The number of ordered pairs in the largest and the smallest equivalence relations on S are: A n and n B n2 and n C n2 and 0 D n and 1
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Set Theory & Algebra
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binary relation R = {(x, y), (x, z), (z, x), (z, y)} on the set {x, y, z}. Which one of the following is TRUE
Consider the binary relation R = {(x, y), (x, z), (z, x), (z, y)} on the set {x, y, z}. Which one of the following is TRUE? A R is symmetric but NOT antisymmetric B R is NOT symmetric but antisymmetric C R is both symmetric and antisymmetric D R is neither symmetric nor antisymmetric
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Set Theory & Algebra
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NOT necessarily a property of a Group
Which one of the following in NOT necessarily a property of a Group? A Commutativity B Associativity C Existence of inverse for every element D Existence of identity
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Set Theory & Algebra
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Suppose that the eigenvalues of matrix A are 1, 2, 4. The determinant
Suppose that the eigenvalues of matrix A are 1, 2, 4. The determinant of (A−1)T is ______
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Linear Algebra
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each consisting of m linear equations in n variables
Consider the systems, each consisting of m linear equations in n variables. I. If m < n, then all such systems have a solution II. If m > n, then none of these systems has a solution III. If m = n, then there exists a system which has a solution Which one of the following is CORRECT? A I, II and III are true B Only II and III are true C Only III is true D None of them is true
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Linear Algebra
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following system has nontrivial solution
If the following system has nontrivial solution, px + qy + rz = 0 qx + ry + pz = 0 rx + py + qz = 0 then which one of the following options is True? A p – q + r = 0 or p = q = –r B p + q – r = 0 or p = –q = r C p + q + r = 0 or p = q = r D p – q + r = 0 or p = –q = –r
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Linear Algebra
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Perform the following operations on the matrix
Perform the following operations on the matrix ⎡ 3 4 45⎤ ⎢ 7 8 105⎥ ⎣13 2 195⎦ 1. Add the third row to the second row. 2. Subtract the third column from the first column. The determinant of the resultant matrix is _____________.
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Linear Algebra
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continuous for all real values
Consider the following two statements about the function f(x)=x P. f(x) is continuous for all real values of x Q. f(x) is differentiable for all real values of x Which of the following is TRUE? A P is true and Q is false. B P is false and Qis true. C Both P and Q are true D Both P and Q are false
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Calculus
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NewtonRaphson method is used to compute a root of the equation
NewtonRaphson method is used to compute a root of the equation x213=0 with 3.5 as the initial value. The approximation after one iteration is
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Numerical Methods
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number and location(s) of the local minima of this function
Consider the function f(x) = sin(x) in the interval [π/4, 7π/4]. The number and location(s) of the local minima of this function are A One, at π/2 B One, at 3π/2 C Two, at π/2 and 3π/2 D Two, at π/4 and 3π/2
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Calculus
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