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 girls are smart.
All smart are intelligent.
Conclusions:
I. All girls are intelligent.
II. Some girls are not intelligent.
Option 1: Only conclusion II follows
Option 2: Neither conclusion I nor II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I follows
Correct Answer: Only conclusion I follows
Solution :
The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All girls are intelligent –
From the Venn diagram, it is evident that the circle representing girls is completely overlapped by the circle representing intelligent. Thus, it can be concluded that a
ll girls are intelligent.
Conclusion (II):
Some girls are not intelligent –
From the Venn diagram, it is evident that the circle representing girls is completely overlapped by the circle representing intelligent. Thus, this conclusion doesn't follow.
So, the only conclusion I follows. Hence, the fourth option is correct.
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