Question : Directions: In this question, 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 follows/follow from the statements. Statements: I. Some rooms are cages. II. Some cages are enclosures. III. All enclosures are houses. Conclusions: I. Some houses are cages. II. All rooms are enclosures.
Option 1: Both conclusions I and II follow
Option 2: Only conclusion I follows
Option 3: Neither conclusion I nor II follows
Option 4: Only conclusion II follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyze the conclusions – Conclusion (I): Some houses are cages – From the Venn diagram, it is evident that the circles representing houses and cages overlap and have some parts of their area in common. Thus, it can be concluded that some houses are cages. Conclusion (II): All rooms are enclosures – From the Venn diagram, it is evident that there is no definite relation between rooms and enclosures. Thus, this conclusion does not follow.
So, the only conclusion I follows. Hence, the second 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: Some windows are houses. Some windows are roofs. Conclusions: I. Some roofs are houses. II. Some roofs are windows.
Option 1: Neither conclusion I nor II follows
Option 3: 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 actors are singers. II) Some musicians are dancers. Conclusions: I) All dancers are musicians. II) Some singers are actors.
Option 1: Neither Conclusion I nor II follows
Option 2: Only conclusion II follows
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: I) All cardiologists are doctors. II) Some cardiologists are neurologists. Conclusions: I) Some doctors are cardiologists. II) Some doctors are neurologists.
Option 2: Neither conclusion I nor II follows
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: All bowls are spoons. All spoons are plates. Conclusions: I. Some plates are bowls. II. Some plates are spoons.
Option 2: Both conclusions I and II follow
Option 3: 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 queens are kings. Some kings are aces. Conclusions: I. Some kings are queens. II. All queens are aces.
Option 1: Only conclusion II follows
Option 4: Both conclusions I and II follow
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