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GATE CS question library

Practise GATE CS Computer Science previous year questions free. Browse by subject, syllabus topic, year and question type, with answers and available solutions.

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Official PYQ2007Engineering MathematicsSets, Relations and FunctionsMCQ · 1 mark
Let SS be a set of nn elements. The number of ordered pairs in the largest and the smallest equivalence relations on SS are:
Official PYQ2007Engineering MathematicsCalculus: Limits, Continuity, DifferentiabilityMCQ · 1 mark
Consider the following two statements about the function f(x)=∣x∣f(x)=\left\vert x\right\vert: P. f(x)f(x) is continuous for all real values of xx. Q. f(x)f(x) is differentiable for all real values of xx . Which of the following is TRUE?
Official PYQ2007Engineering MathematicsEigenvalues and Eigenvectors, LU DecompositionMCQ · 1 mark
Let A be a 4×44 \times 4 matrix with eigen values -5,-2,1,4. Which of the following is an eigen value of the matrix[AIIA]\begin{bmatrix} A & I \\ I & A \end{bmatrix}, where II is the 4×44 \times 4 identity matrix?