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: I. Some mobiles are land. II. Some land is wide. III. All wide are tall. Conclusions: I. Some mobiles are tall. II. All tall are wide.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion I follows
Option 3: Only conclusion II follows
Option 4: Both conclusions I and II follow
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Correct Answer: Neither conclusion I nor II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some mobiles are tall – From the Venn diagram, we can see that there is no direct relation between mobile and tall. So, this conclusion does not follow. Conclusion (II): All tall are wide – From the Venn diagram, it is evident that some parts of the circle representing tall lie inside the circle representing wide while some lie outside. So, this conclusion does not follow.
So, neither conclusion I nor 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: 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.
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 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: 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: I. Some apples are fruits. II. All fruits are mangoes. Conclusions: I. Some apples are mangoes. II. All mangoes are fruits.
Option 3: 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: I. All rats are roads. II. All roads are bags. Conclusions: I. All bags are rats. II. Some bags are rats.
Option 3: Both conclusions I and II follow
Option 4: Neither conclusion I nor II follows
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