3GP STE Quiz 2 (Statements)

What is the negation of "A square is a rectangle."?

• A square does not a rectangle.

• A square is not a rectangle.

• No square is a rectangle.

• A square is a square.

Why is "A horizontal line does not determines a function." not a proper negation?

• The verb should be in its base form.

• The word that should have been used is did, not does.

• The verb should be in past tense.

• The word that should have been used is do, not does.

Which of the following best describes the inverse of a conditional statement?

• If it is in the form of “If p, then q”.

• Both the hypothesis and conclusion are negated.

• The hypothesis and the conclusion are interchanged.

• The hypothesis and the conclusion of its converse are negated.

Which of the following is the inverse of

"If a figure is a triangle, then it is not a quadrilateral."?

• If a figure is not a triangle, then it is not a quadrilateral.

• If a figure is not a quadrilateral, then it is a triangle.

• If a figure is not a triangle, then it is a quadrilateral.

• If a figure is a quadrilateral, then it is not a triangle.

Given, “If the figure is a quadrilateral, then it is a four-sided polygon”.

What is "If a figure is a four-sided polygon, then it is a quadrilateral."?

• converse

• inverse

• contrapositive

• conclusion

Which of the following is a converse?

• If q, then not p.

• If not p, then not q.

• If not q, then not p.

• If q, then p.

“If a number is divisible by 2 and 3, then it is divisible by 6”

What is its contrapositive?

• If a number is divisible by 6, then it is not divisible by 2 and 3.

• If a number is not divisible by 2 and 3, then it is divisible by 6.

• If a number is not divisible by 2 and 3 then it is not divisible by 6.

• If a number is not divisible by 6, then it is not divisible by 2 and 3.

What statement interchanges the hypothesis and conclusion and then negate them?

• positive

• inverse

• contrapositive

• converse

What decision can you make to an implication if both hypothesis and conclusion are false?

• insufficient data

• true

• false

• undefined

Which of the following is equivalent to

"If not q, then not p"

• If q, then p.

• If q, then not p.

• If p, then q.

• If not p, then not q.