Skip to content

GATE CS Engineering Mathematics questions

Practise Engineering Mathematics questions for GATE CS. Explore official PYQs and original subject-wise quizzes, check answers and view available solutions. Free, no sign-in.

Subject, topic, year and type filter the full library. Match any choice within a filter, and all selected filter categories. Search, source and sort apply to this page.

12 on this page
Official PYQ1990Engineering MathematicsGraphs: Connectivity, Matching, ColouringMCQ · 1 mark
A graph is planar if and only if,
Official PYQ1990Engineering MathematicsPropositional and First Order LogicMCQ · 1 mark
Indicate which of the following well-formed formulae are valid:
Official PYQ1990Engineering MathematicsCombinatorics: Counting, Recurrence Relations, Generating FunctionsMCQ · 1 mark
The number of ways in which 5  A′s,5  B′s5\; A's, 5\; B's and 5  C′s5\; C's can be arranged in a row is:
Official PYQ1990Engineering MathematicsCombinatorics: Counting, Recurrence Relations, Generating FunctionsMSQ · 1 mark
The number of rooted binary trees with nn nodes is,
Official PYQ1989Engineering MathematicsProbability: Random Variables and DistributionsMSQ · 1 mark
Which of the following statements are FALSE?
Official PYQ1989Engineering MathematicsPropositional and First Order LogicMSQ · 1 mark
Which of the following well-formed formulas are equivalent?
Official PYQ1987Engineering MathematicsSets, Relations and FunctionsNAT · 1 mark
State whether the following statements are TRUE or FALSE: The union of two equivalence relations is also an equivalence relation.
Official PYQ1987Engineering MathematicsMaxima and Minima, Mean Value Theorem, IntegrationMCQ · 1 mark
If f(xi).f(xi+1)<0f(x_{i}).f(x_{i+1})< 0 then
Official PYQ1987Engineering MathematicsLinear Algebra: Matrices, Determinants, System of Linear EquationsMCQ · 1 mark
A square matrix is singular whenever
Official PYQ1987Engineering MathematicsCalculus: Limits, Continuity, DifferentiabilityMCQ · 1 mark
The equation 7x7+14x6+12x5+3x4+12x3+10x2+5x+7=07x^{7}+14x^{6}+12x^{5}+3x^{4}+12x^{3}+10x^{2}+5x+7=0 has
Official PYQ1987Engineering MathematicsLinear Algebra: Matrices, Determinants, System of Linear EquationsMCQ · 1 mark
If a,b,a, b, and cc are constants, which of the following is a linear inequality?
Official PYQ2026Engineering MathematicsCombinatorics: Counting, Recurrence Relations, Generating FunctionsMCQ · 1 mark
Consider 4×44 \times 4 matrices with their elements from {0,1}\{\mathbf{0}, \mathbf{1}\}. The number of such matrices with even number of 1\mathbf{1} s in every row and every column is