Logical Reasoning

Contrapositive of:
If an integer ends with 0, then it's divisible by 2.

• If an integer ends with 2 then it's divisible by 0.
• If an integer doesn't end in 0, then it's not divisible by 2.
• If an integer isn't divisible by 2, then it's doesn't end in 0.
• If an integer is divisible by 2, then it ends with 0.

Inverse of: 
If you win the championship game, then you win the league trophy.

• If you don't win the championship game, then you don't win the league trophy.
• If you win the league trophy, then you win the championship game.
• If you don't win the league trophy, then you don't win the championship game.
• If you don't play the game, you can't win a trophy.

Which statement is a good definition of a rectangle?

• A rectangle is a shape with four sides.
• A rectangle is a shape with two pairs of parallel sides.
• A rectangle is a quadrilateral with four congruent angles.
• A rectangle is a parallelogram with four congruent sides.

Tags

CCSS.HSG.CO.C.11

Which conclusion can you make?
If a whole number ends in 0, then it is divisible by 10. 
If a whole number is divisible by 10, then it is divisible by 5.

• If a whole number ends in 10 then it's divisible by 0.
• If a whole number ends in 5, then it's divisible by 10.
• If a whole number ends in 0, then it's divisible by 5.
• No conclusion can be made.

Tags

CCSS.5.OA.B.3

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

Tags

CCSS.4.OA.A.1

All integers are positive intigers.

• no

• not

_________ factors of are factors of 6

• All

• Some

Tags

CCSS.4.OA.B.4

Premise 1 : All rhombuses are parallelgrams.

Premise 2 : __________________________________

Conclusion : A square is a parallelogram.

• A square not rhombus

• A square is a rhombus

• parallelograms is a square

• Parallelogram is not a square

Tags

CCSS.HSG.CO.C.11

which one is a statement

• square have 4 side

• circle have 3 side

• triangle dont have any side

Tags

CCSS.2.G.A.1

CCSS.1.G.A.1

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