Conditional Statements Quiz Questions And Answers

The correct answer is "If today is Wednesday, then tomorrow is Thursday." This is the conditional form of the given statement because it expresses a cause-and-effect relationship between two events. If today is Wednesday (the condition), then tomorrow will always be Thursday (the result).

The converse of a conditional statement switches the hypothesis and conclusion. In this case, the original statement is "If a whole number is divisible by 2, then it is even." The converse of this statement is "If a whole number is even, then it is divisible by 2." This means that if a number is even, it can be divided by 2 without a remainder.

The contrapositive of a conditional statement is formed by negating both the hypothesis and the conclusion, and reversing their positions. In this case, the original statement is "If Sally is 6 feet tall, then she plays basketball." The contrapositive would be "If Sally does not play basketball, then she is not 6 feet tall." This is because the hypothesis ("Sally does not play basketball") is negated and reversed to become the new conclusion, and the conclusion ("she is not 6 feet tall") is negated and reversed to become the new hypothesis.

The given statement states that if the light is red, then you must stop. Therefore, the conclusion of this statement is that you must stop.

The inverse of a conditional statement involves negating both the hypothesis and the conclusion. In this case, the original statement is "If Henry makes a 65 on the test, then Henry failed the test." The inverse of this statement is "If Henry did not make a 65 on the test, then Henry did not fail the test." This means that if Henry did not achieve a score of 65 on the test, then it can be concluded that he did not fail the test.

The correct answer is "the baby is wearing blue booties." This hypothesis is based on the conditional statement given in the question. It states that if the baby is wearing blue booties, then it is a baby boy. Therefore, the hypothesis is that the baby is wearing blue booties.

The statement "Most fire trucks are not red" is a negation of the sentence "Most fire trucks are red" because it contradicts the original statement by stating that the majority of fire trucks are not red.

The contrapositive of a conditional statement is formed by negating both the hypothesis and the conclusion, and swapping them. If the original conditional statement is true, then its contrapositive is also true. This is known as the contrapositive property of conditional statements. Therefore, the given sentence is true.

The statement "Carl studied 3 hours for the test and Carl did not pass" is a counterexample because it disproves the original statement. The original statement claims that if Carl studies at least two hours for the test, then Carl will pass. However, in this counterexample, Carl studied for 3 hours but did not pass the test. This shows that the original statement is not always true and can be contradicted by this counterexample.

The correct answer is "If a bird is a cardinal it is red." This is because the statement "Cardinals are red birds" implies that all cardinals are red. Therefore, if a bird is a cardinal, it must be red.