Question : Directions: One/two statement(s) is/are given followed by two conclusions, I and II. You have to consider the statement(s) to be true, even if it/they seem(s) to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow(s) from the given statement(s).
Statements:
Some shoes are white.
All white are blue.
Conclusions:
I. All shoes are blue.
II. Some shoes are blue.
Option 1: Only I follows
Option 2: Only II follows
Option 3: Both I and II follow
Option 4: Neither I nor II follows
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Correct Answer: Only II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion I:
All shoes are blue – From the Venn diagram, it is evident that the circles representing shoes and blue overlap each other and have a part of their areas in common. So, from this, it can be concluded that some shoes are blue. Thus, this conclusion does not follow.
Conclusion II:
Some shoes are blue – From the Venn diagram, it is evident that the circles representing shoes and blue overlap each other and have a part of their areas in common. So, from this, it can be concluded that some shoes are blue. Thus, this conclusion follows.
Therefore, only conclusion II follows. Hence, the second option is correct.
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