Logic and Propositions Quiz

Nora is curious about the moon and wonders if it is made of cheese. Determine whether this statement is a proposition. If it is a proposition, state whether it is true (T) or false (F). 1. The moon is made of cheese.

• Yes, False

• Yes, True

• No

Answer explanation

The statement 'The moon is made of cheese' is a proposition because it can be evaluated as true or false. It is false, as scientific evidence shows the moon is not made of cheese. Therefore, the correct choice is 'Yes, False'.

Abigail is thinking about numbers and their properties. She wonders if 5 is an odd number. Determine whether it is a proposition. If it is a proposition, state whether it is true (T) or false (F). 2. 5 is an odd number.

• Yes, False

• Yes, True

• No

Answer explanation

The statement '5 is an odd number' is a proposition because it can be evaluated as true or false. Since 5 is indeed an odd number, the correct answer is 'Yes, True'.

During a classroom session, the teacher instructs the students, "3. Go to the blackboard!" Determine whether this statement is a proposition. If it is a proposition, state whether it is true (T) or false (F).

• Yes, False

• Yes, True

• No

Answer explanation

The statement 'Go to the blackboard!' is an imperative command, not a declarative statement that can be true or false. Therefore, it is not a proposition, making the correct answer 'No'.

Determine whether it is a proposition. If it is a proposition, state whether it is true (T) or false (F). 4. Uganda is located in Asia.

• Yes, False

• Yes, True

• No

Answer explanation

The statement 'Uganda is located in Asia' is a proposition because it can be evaluated as true or false. It is false because Uganda is actually located in Africa, making the correct choice 'Yes, False'.

Evelyn is trying to determine if a certain mathematical statement is true or false. She calculates that 3 squared plus 4 squared equals 25. Is this statement a proposition? If it is, is it true (T) or false (F)?

• Yes, False

• Yes, True

• No

Answer explanation

The statement 3^2 + 4^2 = 25 is a mathematical proposition. Evaluating it, 3^2 is 9 and 4^2 is 16, so 9 + 16 = 25, which is true. Therefore, it is a proposition and the correct answer is Yes, True.

In a town, there is a claim that every number greater than 2 is even. Determine whether this claim is a proposition. If it is a proposition, state whether it is true (T) or false (F).

• Yes, False

• Yes, True

• No

Answer explanation

The statement 'Every number greater than 2 is even' is a proposition because it can be evaluated as true or false. It is false, as numbers like 3, 5, and 7 are greater than 2 but not even. Thus, the correct choice is 'Yes, False'.

Determine whether it is a proposition. If it is a proposition, state whether it is true (T) or false (F). 7. If Evelyn has 3 apples, then the total number of apples she has is equal to 9.

• Yes, False

• Yes, True

• No

Answer explanation

The statement 'If x = 3, then x^2 = 9' is a proposition because it can be evaluated as true or false. Since substituting x with 3 gives 9, the statement is true. Thus, the correct choice is 'Yes, True'.

During a heated argument in a crowded street, Mia suddenly shouts, 'Stop right there!'

• Yes, False

• Yes, True

• No

Answer explanation

The statement 'Stop right there!' is an imperative command, not a declarative statement that can be classified as true or false. Therefore, it is not a proposition.

Isla is observing the sky and wonders about the behavior of the sun. She states, 'The sun rises in the east.'

• Yes, False

• Yes, True

• No

Answer explanation

The statement 'The sun rises in the east' is a proposition because it can be clearly classified as true or false. It is true (T) based on astronomical facts, making the correct choice 'Yes, True'.

William is trying to solve a math problem. He states, "2 + 2 = 4 and 3 > 5." Determine whether this statement is a proposition. If it is a proposition, state whether it is true (T) or false (F).

• Yes, False

• Yes, True

• No

Answer explanation

The statement '2 + 2 = 4 and 3 > 5' is a proposition because it can be evaluated as true or false. '2 + 2 = 4' is true, but '3 > 5' is false. Since one part is false, the entire statement is false. Thus, the answer is Yes, False.