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 apple is tasty. Some tasty are bitter. Conclusions: I. Some apples are bitter. II. No tasty is an apple.
Option 1: Only conclusion II follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion I follows
Option 4: Neither conclusion I nor II follow
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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 apples are bitter – From the Venn diagram, it is evident that no relation between the circles of apple and bitter is defined. Therefore, some apples are bitter is a false conclusion. Conclusion (II): No tasty is an apple – From the Venn diagram, it is evident that the cross sign between the circles of apple and tasty defined a relation of not. So, no tasty is an apple is a true conclusion.
So, 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: I. Some apples are fruits. II. All fruits are mangoes. Conclusions: I. Some apples are mangoes. II. All mangoes are fruits.
Option 1: Neither conclusion I nor II follows
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: I. All chains are circles. II. No chain is square. Conclusions: I. Some circles are square. II. Some circles are chains.
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 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: No astronaut is tall. Some tall are blue. Conclusions: I. Some astronauts are blue. II. No tall is an astronaut.
Option 1: Only conclusion I follows.
Option 2: Both conclusions I and II follow.
Option 3: Neither conclusion I nor II follow.
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: No astronomer is tall. Some tall are handsome. Conclusions: I. Some astronomers are handsome. II. No tall is an astronomer.
Option 1: Only conclusion II follows.
Option 2: Neither conclusion I nor II follow.
Option 3: Only conclusion I follows.
Option 4: Both conclusions I and II follow.
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