Remedial methametics, Quizzes of Pharmacy

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[Total No. of Questions - 9] [Total No. of Printed Pages - 3] (2123) 1346 B. Tech 3rd Semester Examination Discrete Mathematics & Logic Design (N.S.) NS-206-A Time : 3 Hours Max. Marks : 100 The candidates shall limit their answers precisely within the answer- book (40 pages) issued to them and no supplementary/continuation sheet will be issued. Note: Candidate are required to attempt five questions in all selecting one question from each of the section A, B, C &D and all subpart of Section E. Use of non-programmable calculators are allowed. SECTION -A 1. (a) State and prove De Morgan's Laws. (4) (b) What is Venn Diagrams? Draw the Venn Diagrams for various set operations. (10) (c) LetA= {4, 6, 8, 10} and R=({(4, 4), (4, 10), (6, 6), (6,8), (8, 10)} is a relation on set A. Determine transitive closure of R. (6) 2. (a) Prove that if f : x — y and g: y > z be two one-to-one onto function then gof is also one-to-one onto function. (8) (b) Consider the set A={4, 5, 6, 7}. Let R be the relation < on A. Draw the directed graph and Hasse diagram of R. (8) (c) Prove that if L be a lattice then aAb=1, if and only if Avb=b. (4) 1346/1000 [P.T.O.]