Brain Teasers
Three Statements II
Which of these three statements are true?
1. Lisa is faster than Jane, and Nora is slower than Lisa. It is impossible to tell whether Nora is faster than Jane based on these facts alone.
2. Jack owes $64 to John. Jack has only $28 but Bill gives him another $28. Therefore Jack can repay John in full.
3. A rancher is building an open-ended fence by stringing wire between posts 20 feet apart. If the fence is 100 feet long the rancher should use 5 posts.
1. Lisa is faster than Jane, and Nora is slower than Lisa. It is impossible to tell whether Nora is faster than Jane based on these facts alone.
2. Jack owes $64 to John. Jack has only $28 but Bill gives him another $28. Therefore Jack can repay John in full.
3. A rancher is building an open-ended fence by stringing wire between posts 20 feet apart. If the fence is 100 feet long the rancher should use 5 posts.
Answer
Statement 1 is true, and statements 2 and 3 are false.In statement 1, we only know that Lisa is the fastest of the three, and we know nothing else.
In statement 2, 28+28=56<64.
In statement 3, since the fence is open-ended, you need 6 posts.
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