Question : Directions: Two Statements are given followed by two conclusions numbered I and II. Assuming the statement to be true, even if it seems to be at variance with commonly known facts. decide which of the conclusions logically follow(s) from the statements.
Statements:
Some pupils are cutes.
All boys are cutes.
Conclusions:
I. All cutes are boys.
II. Some pupils are boys.
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
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Correct Answer: Neither conclusion I nor II follows
Solution :
Given:
According to the given statements, the Venn diagram is given below –
Let's analyse the conclusions –
Conclusion (I):
All cutes are boys – From the Venn diagram, it is evident that some parts of the circle representing cutes lie inside the circle representing boys while some lie outside. Therefore, this conclusion follows.
Conclusion (II):
Some pupils are boys – From the Venn diagram, it is evident that the circles representing pupils and boys have no definite relation between them. Therefore, this conclusion doesn't follow.
So, neither I nor II conclusion follows. Hence, the second option is correct.
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