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Question

In each of the questions below are given two/three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements, disregarding commonly known facts. Give answer
Statements: All fruits are tasty.
                    No tasty is good.
                    All goods are yummy.
Conclusions: I. All yummy things being tasty is a possibility.
                      II. All fruits being yummy is a possibility.


A
if only conclusion I follows.
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B
if only conclusion II follows.
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C
if either conclusion I or conclusion II follows.
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D
if neither conclusion I nor conclusion II follows.
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E
if both conclusion I and conclusion II follow.
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Solution

The correct option is B if only conclusion II follows.
Let $$Fruits=F$$,  $$Tasty=T$$,  $$Good=G$$  and  $$Yummy=Y$$.

Statements:
$$1)F\subset T$$
$$2)T\cap G=\Phi$$
$$3)G\subset Y$$

$$Conclusion-I$$ :  $$Y\subset T$$
$$\Rightarrow G\subset Y\subset T$$
$$\Rightarrow T\cap G=G\neq\Phi$$  which contradicts statement 2.
So, Conclusion-I do not follow.

$$Conclusion-II$$ :   $$F\subset Y$$
which do not contradicts any of the given statements.
So, Conclusion-II follows.

$$\therefore$$  The answer is $$[B]$$.


Logical Reasoning

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