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Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and decide which conclusion(s) logically follow(s) from the given statements. Statements: All kites are monkeys. All monkeys are ants Conclusions: (I) Some ants are kites. (II) Some monkeys are not kites.
Neither conclusion (I) nor (II) follows.
Only conclusion (II) follows.
Only conclusion (I) follows.
Both conclusions (I) and (II) follow.
Only conclusion (I) follows.
Translate 'All A are B' and 'All B are C' into nested circles: Kites inside Monkeys, Monkeys inside Ants. From inside to outside, 'All' and 'Some' are both true. Therefore, Some ants are kites follows directly.
Translate 'All A are B' and 'All B are C' into nested circles: Kites inside Monkeys, Monkeys inside Ants. From inside to outside, 'All' and 'Some' are both true. Therefore, Some ants are kites follows directly.
Step 1: Represent statements using set theory
Statement 1: All kites are monkeys (K is a subset of M). Statement 2: All monkeys are ants (M is a subset of S). Combining them: Kites subset of Monkeys subset of Ants.
Step 2: Evaluate Conclusion (I)
Conclusion (I): Some ants are kites. Since all kites are ants (K inside S), moving from outside to inside means 'Some ants are kites' is definitely true.
Step 3: Evaluate Conclusion (II)
Conclusion (II): Some monkeys are not kites. All kites are monkeys, but monkeys can be equal to kites or larger. In the case where all monkeys are kites, 'Some monkeys are not kites' is false. Therefore, it does not universally follow.
A: Both conclusions do not follow is incorrect since Conclusion I is true. B: Only conclusion II follows is incorrect because conclusion II is false. D: Both conclusions follow is incorrect because conclusion II is false.
C is correct because only conclusion (I) logically follows from the given statements.
When moving from an inner circle to an outer circle, both 'All' and 'Some' affirmative relations are always true.