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 books are pens. Some books are copies. All copies are pencils. Conclusions: I. Some pencils are pens. II. Some pencils are books.
Option 1: Both conclusions I and II follow
Option 2: Only conclusion I follows
Option 3: Only conclusion II follows
Option 4: Neither conclusion I nor II 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): Some pencils are pens – From the Venn diagram, it is evident that there is no definite relation between pencils and pens. Thus, this conclusion does not follow. Conclusion (II): Some pencils are books – From the Venn diagram, it is evident that the circles representing pencils and books overlap and have some parts of their area in common. Thus, it can be concluded that some pencils are books.
So, the only conclusion II follows. Hence, the third 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 notebooks are pencils. Some pens are notebooks. Conclusions: I. All pens are pencils. II Some pencils are pens.
Option 1: Only conclusion I follows
Option 2: Both conclusions I and II follow
Option 4: Neither conclusion I nor II follow
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: No pen is paper. All papers are pencils. Conclusions: I. Some pens are pencils. II. All pencils are pens.
Option 1: Neither conclusion I nor II follows
Option 3: Only conclusion I follows
Option 4: Only conclusion II follows
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 2: Neither conclusion I nor II follows
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: Some pens are black. No black is blue. Conclusions: I. No pen is blue. II. Some pens are not black.
Option 1: Only conclusion II follows
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 diaries are books. Some bags are diaries. Conclusions: I. All bags are books. II. Some books are bags.
Option 2: Neither conclusion I nor II follow
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I follows
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