Question 1:
If it is raining, then the ground gets wet. The ground is wet. What can we conclude?
Explanation: The correct answer is A) It is raining. Based on the given statement, if it is raining, then the ground gets wet. Since the ground is wet, we can conclude that it is raining.
Question 2:
If a shape is a triangle, then it has three sides. Which of the following statements is true based on this condition?
Explanation: The correct answer is D) All shapes with more than three sides are not triangles. The conditional statement implies that if a shape is a triangle, then it has three sides. The contrapositive of this statement is: If a shape has more than three sides, then it is not a triangle.
Question 3:
If a car runs out of fuel, then it will stop. Which of the following statements is true based on this condition?
Explanation: The correct answer is A) All cars that stop have run out of fuel. The conditional statement implies that if a car runs out of fuel, then it will stop. The converse of this statement is: If a car stops, then it has run out of fuel.
Question 4:
If it is a weekday, then the office is open. The office is closed. What can we conclude?
Explanation: The correct answer is B) It is a holiday. The conditional statement implies that if it is a weekday, then the office is open. The inverse of this statement is: If the office is closed, then it is not a weekday. The office being closed does not necessarily mean it is a weekend, but it could also be a holiday.
Question 5:
If a number is divisible by 3, then it is also divisible by 6. Which of the following statements is true based on this condition?
Explanation: The correct answer is A) All numbers divisible by 6 are divisible by 3. The conditional statement implies that if a number is divisible by 3, then it is also divisible by 6. The converse of this statement is: If a number is divisible by 6, then it is divisible by 3.
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