Subject Wise MCQ

Discrete Mathematics Probability GATE Previous Year Solved Questions

Ques 1: Consider Guwahati, (G) and Delhi (D)whose temperatures can be classified as high (H), medium (M) and low (L). Let P(HG) denote the probability that Guwahati has high temperature. Similarly, P(MG) and P(LG)denotes the probability of Guwahati having medium and low temperatures respectively. Similarly, we use P(HD),P(MD) and P(LD) for Delhi. GATE 2018 The following table gives the conditional probabilities for Delhi’s temperature given Guwahati’s temperature. HD MD LD …

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Discrete Mathematics Graph Theory GATE Previous Years Solved Questions

Ques 1: A graph is planar if and only if, GATE 1990 (A) It does not contain subgraphs homeomorphic to k5 and k3,3 (B) It does not contain subgraphs isomorphic to k5 or k3,3 (C) It does not contain subgraphs isomorphic to k5 and k3,3 (D) It does not contain subgraphs homeomorphic to k5 or k3,3 Ans: (D) It does not contain subgraphs homeomorphic to k5 or k3,3 Solution: Kuratowski’s …

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Discrete Mathematics Combinatories GATE Previous Years Solved Questions

Ques 1: How many substrings (of all lengths inclusive) can be formed from a character string of length n?  GATE 1989 Ans: 1+[n(n+1)/2] Solution: Lets take an example . Lets consider the given string is {GATE}. So, set of string of length 1={G,A,T,E} cardinality of set =4 Set of strings of length 2={GA,AT,TE}. Set of strings of length 3={GAT,ATE}. Set of strings …

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Discrete Mathematics Set Theory and Algebra Previous Year GATE Questions

Ques 1: State whether the following statements are TRUE or FALSE: GATE 1987 The union of two equivalence relations is also an equivalence relation. Solution: Equivalence Relation: Relation is reflexive, symmetric, transitive. A relation R1 is defined on a set A={a,b,c}. R1={(a,a),(b,b),(c,c),(a,b),(b,a)} → Equivalence Relation. A relation R2 is defined on a set A={a,b,c}. R2={(a,a),(b,b),(c,c),(c,b),(b,c)} …

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Digital Logic : Logic Functions and Minimisation GATE Previous Years Questions Solved

Ques 1: What is the equivalent Boolean expression in product-of-sums form for the Karnaugh map given below. GATE 1996 (A) BD’ + B’D(B) (B+C’+D)(B’+C+D’)(C) (B+D)(B’+D’)(D) (B+D’)(B’+D) Ans:(C) Solution: For POS Form, Consider 0 s and k-map is Ques 2: Let * be defined as x*y= x’+y. Let z = x*y. Value of z*x is GATE 1997  (A) x +y …

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