Question : Directions: Three 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: Some if are but. All but are so. No so is a then. Conclusions: I. All if being then is a possibility. II. All then being if is a possibility.
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
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Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All if being then is a possibility – From the Venn diagram, it is evident that some if are but and all but are so. Since no so is then so the part of if which are so can never be then. Thus, this conclusion does not follow. Conclusion (II): All then being if is a possibility – It is a possibility that the circle representing then is completely overlapped by the circle representing if. But this is not definite. Thus, this conclusion follows.
So, the only conclusion II follows. Hence, the first option is correct.
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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 pens are cars. Some cars are bulbs. Conclusions: I. Some cars are not bulbs. II. Some pens being bulbs is a possibility.
Option 1: Both conclusions I and II follow
Option 3: Only conclusion I follows
Option 4: Only conclusion II follows
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Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Neither conclusion I nor II follows
Option 4: Both conclusions I and II follow
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Option 4: Neither conclusion I nor II follows
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Option 1: Neither conclusion I nor II follows
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