Thinking Skills
"There are no Olympic swimmers that are not fit, nor are there any gymnasts that are Olympic swimmers."
Question 1 · Multiple choice
Question
"There are no Olympic swimmers that are not fit, nor are there any gymnasts that are Olympic swimmers."
Options
Which of the following must be true?
- A.Gymnasts are all fit.
- B.Any fit person is also a gymnast.
- C.No Olympic swimmers are gymnasts.
- D.All of the above.
Correct answer
Explanation
Step 1 — Unpack the two parts of the statement.
"There are no Olympic swimmers that are not fit" → This means: ALL Olympic swimmers ARE fit.
"nor are there any gymnasts that are Olympic swimmers" → This means: NO gymnast is also an Olympic swimmer. (Gymnasts and Olympic swimmers are completely separate groups.)
Step 2 — Find what MUST be true.
From part 2 of the statement, directly:
- There is NO gymnast who is an Olympic swimmer.
- Equivalently: There is NO Olympic swimmer who is a gymnast.
Answer: C — No Olympic swimmers are gymnasts
This is the only statement that must be true. It is directly stated in the original sentence.
