**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 (?→?)↔(¬?→¬?).

2.Construct the truth table for the compound proposition (?→?)→(?→?).

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 ?→¬?.

5.Give the truth value of ? ↔ ? ⋀ ?.

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 ( ?→?)∧(?→?)??? (?∨?)→? are logically equivalent.

9.Show that the propositions ?→? ??? ¬?∨? are logically equivalent.

10.Without using truth table show that ?→(?→?)⟺¬?→(?→?).

11.Show that (?→(?→?))→((?→?)→(?→?)) is a tautology.

12.Is ¬?∧(?∨?))→? a tautology?

13.Using the truth table, show that the proposition ?∨¬(?∧?) is a tautology.

14.Given ?= {2,3,4,5,6}, state the truth value of the statement (∃?∈?)(?+3=10 ).

15. Let ?={−1,0,1,2} denote the universe of discourse. If ?(?,?)=?+?+1, find the truth value of (∀?)(∃?)?(?,?).

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) ∀?∀? (?2 =?2→?=?). (b) ∀?∀? (??≥?).

17.What are the negations of the statements ∀? (?2>?) ??? ∃? (?2=2)?

18.Write the negation of the statement(∃?)(∀?)?(?,?).

19.Give an indirect proof of the theorem “ If 3?+2 is odd, then n is odd

20.Prove that ?,?→?,?→? ⟹?

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