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 follows from the statements. Statements: All bottles are black. Some black are white. Conclusions: I. All blacks are bottles. II. Some blacks are not white.
Option 1: Only conclusion I follows
Option 2: Both conclusions I and II follow
Option 3: Neither conclusion I nor II follows
Option 4: Only conclusion II follows
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Correct Answer: Neither conclusion I nor II follows
Solution : The possible Venn diagram according to the given statement is as follows –
Let's analyse the conclusions – Conclusion I: All blacks are bottles – From the Venn diagram, it is evident that some parts of the circle representing blacks lie inside the circle representing bottles while some lie outside. So, from this, it can be concluded that some blacks are bottles. Thus, this conclusion does not follow. Conclusion II: Some blacks are not white – It is a possibility that some parts of the circle representing blacks are not overlapped by the circle representing whites. But this is not definite. Thus, this conclusion does not follow.
So, neither conclusion I nor 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 bags are black. Some bags are white. Conclusions: I. Some black are white. II. All black are bags.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion I follows
Option 3: Both conclusions I and II follow
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: All goats are black. Some black are white. No black is gold. Conclusions: I. Some goats are white. II. Some goats being gold is a possibility.
Option 1: Only conclusion II follows
Option 3: Only conclusion I follows
Option 4: 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.
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: I. All trolleys are baskets. II. Some briefcases are trolleys. Conclusions: I. All briefcases are baskets. II. Some baskets are briefcases.
Option 2: Only conclusion II follows
Option 4: Both conclusions I and 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: Some horses are not trucks. All horses are white. Conclusions: I. Some white are trucks. II. Some horses being trucks is a possibility.
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion II follows
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