Question
Download Solution PDFWhich of the following propositions are so related that if one of them is true, the other has to be false and vice-versa?
A. All camels are herbivorous.
B. Some camels are herbivorous.
C. Some camels are not herbivorous.
D. No Camels are herbivorous.
Choose the correct answer from the options given below:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe propositions that are so related that if one of them is true, the other has to be false, and vice versa, are:
B) Some camels are herbivorous.
D) No camels are herbivorous.
- If proposition B is true, it means that there are at least some camels that are herbivorous.
- In this case, proposition D, which states that no camels are herbivorous, must be false because proposition B contradicts it.
- Conversely, if proposition D is true, it means that no camels are herbivorous.
- In this case, proposition B, which states that some camels are herbivorous, must be false because proposition D contradicts it.
- Propositions A and C are not directly related to each other and can be independently true or false.
Therefore, the correct answer is option 2) B and D only.
Last updated on Jun 12, 2025
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