March 13, 2025

GATE 2010

Question 29 Consider the following matrix . If the eigenvalues of A are 4 and 8, then A x=4, y=10 B x=5, y=8 C x=-3, y=9 […]
March 13, 2025

GATE 2010

Question 30 Suppose the predicate F(x, y, t) is used to represent the statement that person x can fool person y at time t. Which one […]
March 14, 2025

GATE 2009

Question 4 Consider the binary relation R = {(x, y), (x, z), (z, x), (z, y)} on the set {x, y, z}. Which one of the […]
March 14, 2025

GATE 2011

Question 41 Which one of the following options is CORRECT given three positive integers x,y and z, and a predicate P(x) = ¬(x=1)∧∀y(∃z(x=y*z) ⇒ (y=x)∨(y=1)) A […]
March 14, 2025

GATE 2009

Question 24 The binary operation □ is defined as follows Which one of the following is equivalent to P ∨ Q ? A ¬Q□¬P B P□¬Q […]
March 14, 2025

GATE 2009

Question 26 Consider the following well-formed formulae: I. ¬∀x(P(x)) II. ¬∃(P(x)) III. ¬∃(¬P(x)) IV. ∃x(¬(P(x)) Which of the above are equivalent? A I and III B […]
March 14, 2025

GATE 2008

Question 23 Which of the following statements is true for every planar graph on n vertices? A The graph is connected B The graph is Eulerian […]
March 14, 2025

GATE 2008

Question 22 The Newton-Raphson iteration can be used to compute the A square of R B reciprocal of R C square root of R D logarithm […]
March 14, 2025

GATE 2008

Question 31 P and Q are two propositions. Which of the following logical expressions are equivalent? I. P∨∼Q II. ∼(∼P∧Q) III. (P∧Q)∨(P∧∼Q)∨(∼P∧∼Q) IV. (P∧Q)∨(P∧∼Q)∨(∼P∧Q) A Only […]
March 15, 2025

GATE 1987

Question 4 The union of two equivalence relations is also an equivalence relation. A True B False Engineering-MathematicsSets-And-RelationVideo-Explanation Question 4 Explanation:  Equivalence relation should satisfy Reflexive, […]
March 16, 2025

GATE 1989

Question 14 Which of the following statements are FALSE? A For poisson distribution, the mean is twice the variance. B In queuing theory, if arrivals occur […]
March 17, 2025

GATE 1992

Question 18 A non-planar graph with minimum number of vertices has A 9 edges, 6 vertices B 6 edges, 4 vertices C 10 edges, 5 vertices […]