Question
Download Solution PDFWhich of the following statements are so related that if one of them is true, the other must be false, even though both of them can be false?
A. Some adults are far - sighted
B. No adults are far- sighted
C. All adults are far - sighted
D. Some adults are not far - sighted
Choose the correct answer from the options given below:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is 2) B and C only.
- If Statement B is true (No adults are far-sighted), then there are no adults with the characteristic of being far-sighted.
- This means that Statement C, which claims "All adults are far-sighted," cannot be true because it asserts that every adult possesses the characteristic of being far-sighted.
- Since Statement B denies the existence of any far-sighted adults, Statement C must be false.
- If Statement C is true (All adults are far-sighted), then it means every single adult has the characteristic of being far-sighted.
- In this case, Statement B, which claims "No adults are far-sighted," would be false, as it contradicts the idea that all adults are far-sighted
Last updated on Jun 12, 2025
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