Question : Directions: Given below are two statements and two conclusions. Take the statements to be true even if they are at variance with commonly known facts, and decide whether the conclusion(s) follow(s) the given statements.
Statements:
Some cakes are biscuits.
Some biscuits are chocolates.
Conclusions:
I. Some biscuits are cakes.
II. Some cakes are chocolates.
Option 1: Both the conclusions follow
Option 2: Only conclusion II follows
Option 3: Neither conclusion I nor II follows
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 analyze the conclusions –
Conclusion I:
Some biscuits are cakes –
From the Venn diagram, it is evident that the circles representing biscuits and cakes overlap and have some parts of their area in common. Thus, it can be concluded that some biscuits are cakes.
Conclusion II:
Some cakes are chocolates –
From the Venn diagram, it is evident that there is no definite relation between cakes and chocolates. Thus, this conclusion does not follow.
So, the only conclusions I follows. Hence, the fourth option is correct.
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