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 plants are vegetables.
Some plants are poisonous.
Conclusions:
I. All vegetables are poisonous.
II. Some vegetables are plants.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion I follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion II follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyze the conclusions –
Conclusion I:
All vegetables are poisonous –
From the Venn diagram, it is evident that the circles representing vegetables and poisonous overlap and have some parts of their area in common. Thus, this conclusion does not follow.
Conclusion II:
Some vegetables are plants –
From the Venn diagram, it is evident that some parts of the circle representing vegetables lie inside the circle representing plants while some lie outside. Thus, it can be concluded that some vegetables are plants.
So, the only conclusion II follows. Hence, the fourth option is correct.
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