Revision Quiz 2

A relation R on a set of real numbers defined as R ={(a,b): a ≤ (b*b) } is .....................

Note : Function is “a is less than or equal to square of b”.

• Reflexive

• Symmetric

• Transitive

• None of the above

In a Group of 300 people , 150 can speak French & 200 can speak German. How many

can speak both French & German?

• 40

• 50

• 20

• None of these

Let Z denote the set of all integers define f by f(x)= x/2 , if x is even

x, if x is odd then f is

• Onto but not one-one

• One-one but not onto

• One-one & onto

• Neither one-one nor onto

Q.) Let A = {a,b,c} and relation R= {(a,a),(b,b),(c,c),(b,c)}n a set A ,then R is

• Transitive relation

• Equivalence relation

• Symmetric relation

• None of these

What is the correct translation of the following statement into mathematical logic? “Some

real numbers are rational”

• ∃x(real(x) v rational(x))

• ∃x(real(x) -> rational(x))

• ∃x(real(x) ∧ rational(x))

• ∀x(real(x) ∧ rational(x))

Which of this is not a tautology

• p∨~p

• ( p ∧ q ) -> p

• (p->q) ∨ p

• ( p v q ) ->p