# Conditional Statements Quiz Questions And Answers

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Hey, what do you know about conditional sentences? You must have studied them in your primary school. Check out this conditional statements quiz that we've created below and get to test your knowledge on this topic. Before starting the quiz, let us remind you that conditional statements refer to those statements in which a hypothesis is followed by a conclusion. It is also known as an " If-then" statement. Now, let's start the test and test your knowledge.

• 1.

### What is the conditional form of the following statement? If today is Wednesday then tomorrow is Thursday.

• A.

If today is Wednesday, then tomorrow is Thursday.

• B.

If tomorrow is Thursday, then today is Wednesday.

• C.

If today is not Wednesday, then tomorrow is not Thursday.

• D.

If tomorrow is not Thursday, then today in not Wednesday.

A. If today is Wednesday, then tomorrow is Thursday.
Explanation
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).

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• 2.

### What is the inverse of the following statement? If Henry makes a 65 on the test, then Henry failed the test.

• A.

If Henry makes a 65 on the test, then Henry failed the test.

• B.

If Henry failed the test, then Henry made a 65 on the test.

• C.

If Henry did not make a 65 on the test, then Henry did not fail the test.

• D.

If Henry did not fail the test, then Henry did not make a 65 on the test.

C. If Henry did not make a 65 on the test, then Henry did not fail the test.
Explanation
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.

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• 3.

### What is the converse of the following statement?If a whole number is divisible by 2, then it is even.

• A.

If a whole number is divisible by 2, then it is even.

• B.

If a whole number is even, then it is divisible by 2.

• C.

If a whole number is not divisible by 2, then it is not even.

• D.

If a whole number is not even, then it is not divisible by 2.

B. If a whole number is even, then it is divisible by 2.
Explanation
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.

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• 4.

### What is the contrapositive of the following statement?If Sally is 6 feet tall, then she plays basketball.

• A.

If Sally is 6 feet tall, then she plays basketball.

• B.

If Sally plays basketball, then she is 6 feet tall.

• C.

If Sally is not 6 feet tall, then she does not play basketball.

• D.

If Sally does not play basketball, then she is not 6 feet tall.

D. If Sally does not play basketball, then she is not 6 feet tall.
Explanation
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.

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• 5.

### Which statement is a counterexample for the following statement?If Carl studies at least two hours for the test, then Carl will pass.

• A.

Carl studied only 30 minutes and Carl passed the test.

• B.

Carl studied 3 hours for the test and Carl did not pass.

• C.

Carl studied one hour for the test and Carl did not pass.

• D.

Carl studied for 2 hours and pass the test.

B. Carl studied 3 hours for the test and Carl did not pass.
Explanation
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.

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• 6.

### From the choices select the conclusion of the statement?If the light is red, then you must stop.

• A.

The light is red

• B.

If the light is red

• C.

You must stop.

• D.

Then you must stop.

C. You must stop.
Explanation
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.

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• 7.

### From the choices select the hypothesis of the statement?If the baby is wearing blue booties, then it is a baby boy.

• A.

If the baby is wearing blue booties

• B.

The baby is wearing blue booties

• C.

Then it is a baby boy

• D.

It is a baby boy

B. The baby is wearing blue booties
Explanation
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.

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• 8.

### Which of the following sentences is true?

• A.

If a conditional is true then the inverse is false.

• B.

If a conditional is false then the converse is false.

• C.

If a conditional is true then the contrapositive is true.

• D.

Every true statement will have at least one counterexample.

C. If a conditional is true then the contrapositive is true.
Explanation
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.

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• 9.

### Which statement is a negation of the sentence:Most fire trucks are red.

• A.

Some fire trucks are white.

• B.

Some fire trucks are red.

• C.

9 out of 10 fire trucks are red.

• D.

Most fire trucks are not red.

D. Most fire trucks are not red.
Explanation
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.

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• 10.

### Which of the conditional statement for the following statement?Cardinals are red birds.

• A.

If a bird is a cardinal it is red.

• B.

If a bird is red, it is a cardinal.

• C.

If a cardinal is red, then it is a bird.

• D.

If a bird is not red, then it is not a cardinal.

A. If a bird is a cardinal it is red.
Explanation
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.

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• Current Version
• Sep 27, 2023
Quiz Edited by
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• Apr 22, 2010
Quiz Created by
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