Select the correct answerStatements: Some birds are goats.Some goats are horses.Some horses are lions. Some lions are tigers.Conclusions: I. Some tigers are goats.II. No tiger is goat.III. Some lions are birds.IV. No lion is bird.OptionsOnly either I or II, and III or IV followNoneOnly I and III followOnly either I or II followOnly either III or IV follow
Question
Select the correct answerStatements: Some birds are goats.Some goats are horses.Some horses are lions. Some lions are tigers.Conclusions: I. Some tigers are goats.II. No tiger is goat.III. Some lions are birds.IV. No lion is bird.OptionsOnly either I or II, and III or IV followNoneOnly I and III followOnly either I or II followOnly either III or IV follow
Solution
The correct answer is "Only either I or II, and III or IV follow".
Here's the step by step reasoning:
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Some birds are goats: This means there is a certain group of birds that are also considered goats.
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Some goats are horses: This means there is a certain group of goats that are also considered horses.
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Some horses are lions: This means there is a certain group of horses that are also considered lions.
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Some lions are tigers: This means there is a certain group of lions that are also considered tigers.
From these statements, we can infer that:
I. Some tigers are goats: This could be possible because some lions are tigers and some of those lions could be the ones that are also horses and goats. But we don't have a definite statement to confirm this.
II. No tiger is goat: This could also be possible because the tigers that are lions might not be the ones that are horses and goats. But again, we don't have a definite statement to confirm this.
III. Some lions are birds: This could be possible because some lions are horses and some of those horses could be the ones that are also goats and birds. But we don't have a definite statement to confirm this.
IV. No lion is bird: This could also be possible because the lions that are horses might not be the ones that are goats and birds. But again, we don't have a definite statement to confirm this.
So, the conclusions I and II, and III and IV are possibilities but not certainties. Therefore, the answer is "Only either I or II, and III or IV follow".
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