Posted Date: 17 May 2018      Posted By:: Vijay Kumar Vishwakarma    Member Level: Gold  Points: 3 (Rs. 4)

# 2017 Deemed University Computer M.C.A Mca (le) iiird semester sessional examination, october 2017 subject name: discrete mathematical structure Question paper

 Course: M.C.A University/board: Deemed University

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 + ….. + (2n-1)2=(n(2n+1)(2n-1))/3
4. Explain binary relation and equivalence relation with properties.
5. Define Pigeon-hole 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, A-B, B-A, A', B' and AxB.
2. Relation R={(a, b):a, b?I} and a-b 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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