2017 Deemed University Computer M.C.A Mca (le) iiird semester sessional examination, october 2017 subject name: discrete mathematical structure Question paper
Previous year question paper for MCA course subject Discrete Mathematical Structure in AKS University Satna
MCA (LE) IIIRD SEMESTER SESSIONAL EXAMINATION, OCTOBER 2017 SUBJECT NAME: DISCRETE MATHEMATICAL STRUCTURE Duration: 1:30 hr. Max Marks: 50 Section A (Short Answer Type) 5 questions of 10 marks each (any 3) 30 1. If R={(a, b), (b, c), (c, a)}, Determine R+ and R*. 2. Prove that fog=gof, if f(x) =? e?^x and g(x) = log_e?x 3. Prove by Mathematical Induction 12 + 32 + 52 + ….. + (2n1)2=(n(2n+1)(2n1))/3 4. Explain binary relation and equivalence relation with properties. 5. Define Pigeonhole principle and counting principle with example
Section B (Long Answer Type) 2 questions of 20 marks each (any 1) 20 1. Let Universal set U={ All the small letter alphabets}, A={a, e, i, o, u}, B={a, b, c, d, e}. Determine the following: A?B, B?A, AnB, BnA, AB, BA, A', B' and AxB. 2. Relation R={(a, b):a, b?I} and ab is divisible by 3 is an equivalence relation then determine equivalence classes. 3. Prove by Mathematical Induction ?_(k=1)^n¦1/(k(k+1))=n/((n+1))
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