Select the correct answerStatements:All rats are asses.All asses are bulls.Conclusions:Some rats are not bulls.Some bulls are rats.All bulls are ratsAll rats are bulls.radio_button_uncheckedOnly conclusion I and II followradio_button_uncheckedOnly II conclusion followsradio_button_uncheckedOnly conclusion II and IV followradio_button_uncheckedConclusions I, II and III followradio_button_uncheckedNone follows
Question
Select the correct answerStatements:All rats are asses.All asses are bulls.Conclusions:Some rats are not bulls.Some bulls are rats.All bulls are ratsAll rats are bulls.radio_button_uncheckedOnly conclusion I and II followradio_button_uncheckedOnly II conclusion followsradio_button_uncheckedOnly conclusion II and IV followradio_button_uncheckedConclusions I, II and III followradio_button_uncheckedNone follows
Solution
The correct answer is "Only conclusion II and IV follow".
Here's why:
Statement 1: All rats are asses. Statement 2: All asses are bulls.
From these two statements, we can infer that all rats are bulls (because if all rats are asses and all asses are bulls, then all rats must be bulls). This validates conclusion IV.
We can also infer that some bulls are rats (because if all rats are bulls, then it must be true that at least some bulls are rats). This validates conclusion II.
Conclusion I is incorrect because it states that some rats are not bulls, which contradicts our inference that all rats are bulls.
Conclusion III is incorrect because it states that all bulls are rats, which is not necessarily true based on the given statements. We know that all rats are bulls, but that doesn't mean all bulls are rats.
So, the correct answer is "Only conclusion II and IV follow".
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