Evaluating Logical Arguments Quiz

Which of the following statements is a valid logical argument?

• If it rains, then the ground is wet. It is raining. Therefore, the ground is not wet.

• If it rains, then the ground is wet. It is raining. Therefore, the ground is wet.

• If it rains, then the ground is wet. The ground is wet. Therefore, it is raining.

• If it rains, then the ground is wet. It is not raining. Therefore, the ground is wet.

Tags

CCSS.RI.8.1

CCSS.RL.11-12.1

CCSS.RL.9-10.1

CCSS.RI.8.8

CCSS.RL.8.1

Identify the counterexample that disproves the statement: "All prime numbers are odd."

• 3

• 5

• 2

• 7

Which of the following is a counterexample to the statement: "If a number is divisible by 4, then it is also divisible by 8"?

• 16

• 12

• 24

• 8

Determine the validity of the following argument: "If a figure is a square, then it has four sides. The figure has four sides. Therefore, it is a square."

• Valid

• Invalid

Tags

CCSS.3.G.A.1

Which of the following statements is logically equivalent to: "If it is not sunny, then I will not go to the park"?

• If I go to the park, then it is sunny.

• If it is sunny, then I will go to the park.

• If I do not go to the park, then it is not sunny.

• If it is sunny, then I will not go to the park.

What is a counterexample to the statement: "All birds can fly"?

• Sparrow

• Eagle

• Penguin

• Robin

Tags

CCSS.RI.8.1

CCSS.RL.11-12.1

CCSS.RL.9-10.1

CCSS.RI.8.8

CCSS.RL.8.1

Evaluate the validity of the argument: "If a number is even, then it is divisible by 2. The number 6 is even. Therefore, 6 is divisible by 2."

• Valid

• Invalid

Which of the following is a counterexample to the statement: "If a number is a multiple of 5, then it is a multiple of 10"?

• 20

• 15

• 30

• 10

Identify the logical fallacy in the argument: "If I study, then I will pass the exam. I passed the exam. Therefore, I studied."

• Affirming the consequent

• Denying the antecedent

• Circular reasoning

• Hasty generalization

Tags

CCSS.RI.8.1

CCSS.RL.11-12.1

CCSS.RL.9-10.1

CCSS.RI.8.8

CCSS.RL.8.1

Which of the following is a valid conclusion from the premises: "All mammals are warm-blooded. All whales are mammals"?

• All whales are cold-blooded.

• Some whales are warm-blooded.

• All whales are warm-blooded.

• No whales are warm-blooded.

Tags

CCSS.RI.8.1

CCSS.RL.11-12.1

CCSS.RL.9-10.1

CCSS.RI.11-12.2

CCSS.RI.9-10.1