quiz logical reasoning

What is a statement?

• A sentence that is definitely true

• A sentence that is either true or false

• A mathematical expression

• A declarative sentence that can be both true and false

Determine which one is a statement.

• 3m x 2m = 6m

• A prime number has 2 factors.

• χ + γ

• Express 2300 in standard form.

• χ + 2 = 3

Complete the premise in the following argument.

Premise 1 : If set P is a subset of set Q, then P ∩ Q = P.

Premise 2 : .........................................................................

Premise 3 : Set P is not a subset f set Q.

• P ⋃ Q = Q

• P ∩ Q = P

• P ∩ Q ≠ P

• P ⋃ Q ≠ P

state whether the following statement is true or false.

All polygons have five sides.

• True

• False

complete the following compound statement by writing the word 'or' or 'and' to form a true statement.

4² = 8 [__] 7 x 0 = 0

• Or

• And

choose two implications based on the following statement.

y > 3 if and only if 2y > 6

• If y > 3, then 2y > 6

• If y < 6 , then 2y > 6

• If 2y > 6, then y > 3

• If 2y > 6, then y < 6

complete the following statement using the quantifier 'all' or 'some', to make it a true statement.

......... integers are even number.

• All

• Some

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the inverse of this statement?

• If the polygon is not a quadrilateral, then it is not a trapezoid.

• If the polygon is not a trapezoid, then it is not a quadrilateral.

• If the polygon is a trapezoid, then it is a quadrilateral.

• A rectangle is also a quadrilateral.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the contrapositive of this statement?

• If a polygon is a trapezoid, then it is a quadrilateral.

• If a polygon is not a quadrilateral, then it is not a trapezoid.

• If a polygon is not a trapezoid, then it is not a quadrilateral.

• A rectangle is also a quadrilateral.

Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.

• If I do not have a Siberian Husky, then I do not have a dog.
• If I have a dog, then I have a Siberian Husky.
• If I do not have a dog, then I do not have a Siberian Husky.
• If I do not have a Siberian Husky, then I have a dog.