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 girl is a horse. Rachel is a girl. Conclusions: I. Rachel is not a horse. II. All girls are not Rachel.
Option 1: Both conclusions I and II follow
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion I follows
Option 4: Only conclusion II follows
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Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statement is as follows –
Let's analyse the conclusions – Conclusion I: Rachel is not a horse – From the Venn diagram, it is evident that Rachel is a girl and no girl is a horse. Thus, it can be concluded that Rachel is not a horse. Conclusion II: All girls are not Rachel – It is a possibility that some parts of the circle representing the girl are not overlapped by the circle representing Rachel. But this is not definite. Thus, this conclusion does not follow.
So the only conclusion I follows. Hence, the third option is correct.
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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 the students are good. Rachel is a student. Some good are honest. Conclusions: I. Rachel is honest. II. Some honest are good.
Option 1: Only conclusion II follows
Option 2: Only conclusion I follows
Option 3: Neither conclusion I nor 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: All pens are cars. Some cars are bulbs. Conclusions: I. Some cars are not bulbs. II. Some pens being bulbs is a possibility.
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 kings are rich. Some rich are proud. Conclusions: I. Some kings are not proud. II. Some rich are not proud.
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I 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 2: Both conclusions I and II follow
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 cars are fast. Some fast is slow. Conclusions: I. Some cars are not slow. II. Some slow is fast.
Option 2: Only conclusion II follows
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