Question : Directions: Two Statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All trees are rocks. All rocks are cups. Conclusions: I. All trees are cups. II. Some cups are trees.
Option 1: Only conclusion I follows
Option 2: Neither conclusion I nor II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion II follows
Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All trees are cups – From the Venn diagram, it is evident that the circle representing trees completely lies inside the circle representing cups. So, it can be concluded that all trees are cups. Conclusion (II): Some cups are trees – From the Venn diagram, it is evident that some parts of the circle representing cups lie outside the circle representing trees while some lie inside. So, it can be concluded that some cups are trees.
So, both conclusions I and II follow. Hence, the third option is correct.
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Question : Directions: Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the
Question : Directions: Two statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the
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