MA8351 DM Question Papers

Anna University Regulation 2017 CSE MA8351 DM Question Papers for previous years are provided below. Previous Year Question Papers for CSE 3rd SEM MA8351 Discrete Mathematics, Engineering are listed down for students to make perfect utilization and score maximum marks with our study materials.

### Anna University Regulation 2017 (CSE) 3rd SEM MA8351 DM – Discrete Mathematics question paper

1. Construct the truth table for the compound proposition (𝑝→𝑞)↔(¬𝑝→¬𝑞).
2.Construct the truth table for the compound proposition (𝑝→𝑞)→(𝑞→𝑝).
3.What are the contra positive, the converse and the inverse of the conditional statement “If you work hard then you will be rewarded”.
4.Find the truth table for the statement 𝑝→¬𝑞.
5.Give the truth value of 𝑇 ↔ 𝑇 ⋀ 𝐹.
6.Write the symbolic representation and give its contra positive statement of “If it rains today, then I buy an umbrella” .
7.When do you say that two compound propositions are equivalent ?
8.Show that ( 𝑝→𝑟)∧(𝑞→𝑟)𝑎𝑛𝑑 (𝑝∨𝑞)→𝑟 are logically equivalent.
9.Show that the propositions 𝑝→𝑞 𝑎𝑛𝑑 ¬𝑝∨𝑞 are logically equivalent.
10.Without using truth table show that 𝑝→(𝑞→𝑝)⟺¬𝑝→(𝑝→𝑞).

11.Show that (𝑝→(𝑞→𝑟))→((𝑝→𝑞)→(𝑝→𝑟)) is a tautology.
12.Is ¬𝑝∧(𝑝∨𝑞))→𝑞 a tautology?
13.Using the truth table, show that the proposition 𝑝∨¬(𝑝∧𝑞) is a tautology.
14.Given 𝑃= {2,3,4,5,6}, state the truth value of the statement (∃𝑥∈𝑝)(𝑥+3=10 ).
15. Let 𝐸={−1,0,1,2} denote the universe of discourse. If 𝑃(𝑥,𝑦)=𝑥+𝑦+1, find the truth value of (∀𝑥)(∃𝑦)𝑃(𝑥,𝑦).
16.Find a counter example, if possible, to these universally quantified statements, Whose the universe of discourse for all variables consists of all integers. (a) ∀𝑥∀𝑦 (𝑥2 =𝑦2→𝑥=𝑦). (b) ∀𝑥∀𝑦 (𝑥𝑦≥𝑥).
17.What are the negations of the statements ∀𝑥 (𝑥2>𝑥) 𝑎𝑛𝑑 ∃𝑥 (𝑥2=2)?
18.Write the negation of the statement(∃𝑥)(∀𝑦)𝑃(𝑥,𝑦).
19.Give an indirect proof of the theorem “ If 3𝑛+2 is odd, then n is odd

20.Prove that 𝑝,𝑝→𝑞,𝑞→𝑟 ⟹𝑟

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