Question : Directions: In the following question, two statements are given, followed by three conclusions: I, II, and III. You have to consider the two statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. Statements: I. Some beautiful are intelligent. II. All intelligent are daughter. Conclusions: (I) Some intelligent are beautiful. (II) Some daughters are intelligent. (III) Some beautiful are daughters.
Option 1: Only conclusions I and II follow
Option 2: Only conclusion I and III follow
Option 3: Only conclusions II and III follow
Option 4: All conclusions follow
Correct Answer: All conclusions follow
Solution : The possible Venn diagram for the given statements –
Let's analyse the conclusions – Conclusion (I): Some intelligent are beautiful – According to the Venn diagram, the circle of intelligent and the circle of beautiful intersect and have a common area between them. So, some intelligent are beautiful is a true conclusion. Conclusions (II): Some daughters are intelligent – According to the Venn diagram, the circle of intelligent is completely inside the circle of the daughter. So, some daughters are intelligent is a true conclusion. Conclusions (III): Some beautiful are daughters – According to the Venn diagram, the circle of daughter and the circle of beautiful intersect and have a common area between them. So, some beautiful are daughters is a true conclusion.
So, all conclusions follow is the correct answer. Hence, the fourth option is correct.
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