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## Test Your Logical Thinking

Difficulty: (explanation of difficulty)

Instructions: Ten sets of premises are given below in the "Premises" table. Your job is to assume that the premises as given are true, and then determine whether the conclusion follows logically based solely on the given premises. Check the "True" button if it does, and the "False" button if it does not. When done, select the "Check Answers" button to check your answers.

PremisesConclusionFollows?Answer
• All men are mortal.
• Socrates is mortal.
Socrates is a man.True
False
False.
• Either you are in New York or you are in Philadelphia.
• You are not in New York.
You are in Philadelphia.True
False
True.
• Some dogs are friendly.
• All dogs are animals.
Some animals are friendly.True
False
True.
• If you won the lottery, you are a millionaire.
• You are a millionaire.
You won the lottery.True
False
False.
• No ducks are mammals.
• No birds are mammals.
Some ducks are not birds. True
False
False.
• All humans are mammals.
• Humans do not have four legs.
Some mammals do not have four legs.True
False
True.
• Whenever Drug Y is administered, the patient gets better.
• Whenever Drug Y is not administered, the patient does not get better.
Drug Y causes the patient to get better. True
False
False.
• If you hit the brakes hard, your car will be rear-ended by the car behind you.
• If you do not hit the brakes hard, you will hit a child in front of you.
Either you will hit the child or you will be hit by the car behind you. True
False
True.
• Whenever you are in Trenton, you are in New Jersey.
• You are in New Jersey.
You are in Trenton.True
False
False.
• Smithville is around 50 kilometres due north of Jonesborough.
• Jonesborough is around 50 kilometres due north of Browntown.
Browntown is closer to Jonesborough than Smithville.True
False
True.

If you'd like a more detailed explanation of the answers, see answers for Test Your Logical Thinking.

If you are interested in other logical-thinking puzzles, you may also want to try Test Your Logical Thinking #2 and Wason's Four-Card Task.