Biju Patnaik University of Technology 2007-5th Sem B.Tech Computer Science and Engineering DISCRETE MATHEMATICAL STRUCTURES CLASS TEST-1 - Question Paper

DiscRETE MATHEMATICAL STRUCTURES 5TH SEM CLASS TEST-1

MAX. MARKS-10
ans all ques.. All ques. carry equal marks.

1.For the provided sequence give a rule which generates it

1,3,6,11,20,37,70....
2.Construct a truth table for the compound proposition p->(!qUr)
3.Give a constructive proof of the proposition "For every positive

integer n there is an integer dividible by more than n primes"
4.Apply "proof by cases" technique to show that if x and y are real

numbers then
max(x,y)+min(x,y)=x+y
5.Express the provided proposition using predicate quantifiers, logical

connectivities, and mathematical operators. Specify the universe of

discourse of quantified proposition
"A negative real number does not have a square root that is a

real number"

Earning:   Approval pending.