1.
Given the statements p and q, the statement p ∨ q is false only if
p is false and q is true.
p is true and q is true.
p is false and q is false.
p is true and q is false.
2.
Consider these two statements:
P: N is an odd number
Q: N is a prime number greater than 2.
Express "If N is not an odd number then N is not a prime number greater than 2" in symbolic form.
~P ⇒ Q
~P ^ ~Q
P ⇒ ~Q
~P ⇒ ~Q
3.
Consider the following statements:
M: Helena studies hard;
N: Helena passes her examination.
If M ⇒ N
If Helena does not study hard, then she will pass her examination.
If Helena does not study hard, then she will not pass her examination.
If Helena passes her examination, then she had not studied hard.
If Helena does not pass her examination, then she had not studied hard.
4.
Consider the statements:
P: = All students offering Literature(L) also offer History(H);
Q: = Students offering History(H) do not offer Geography(G).
Which of the Venn diagram correctly illustrate the two statements?
5.
The implication x ⇒ y is equivalent to
~ y ⇒ ~ x.
y ⇒ ~ x.
~ x ⇒ ~ y.
y ⇒ x.
6.
Consider these two statements:
P:n is an odd number;
Q:n is a prime number greater than 2.
Express "If n is not an odd number then n is not a prime number greater than 2" in symbolic form.
~P ∧ ~Q
~P ⇒ Q
P ⇒ ~Q
~P ⇒ ~Q
7.
Consider the statements:
p: the well is wide;
q: the well is clean;
r: the well is deep.
Write in symbolic form the statement "if the well is wide and clean, then it is deep".
p ∧ q → r
p ∨ q → r
p ∧ q ∨ r
p ∨ q ⇔ r
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