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 1: Neither conclusion I nor II follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion II follows
Option 4: Only conclusion I follows
Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram according to the given statement is as follows –
Let's analyse the conclusions – Conclusion I: Some plates are bowls – From the Venn diagram, it is evident that some parts of the circle representing plates lie inside the circle representing bowls while some lie outside. So, from this, it can be concluded that some plates are bowls. Thus, this conclusion follows. Conclusion II: Some plates are spoons – From the Venn diagram, it is evident that some parts of the circle representing plates lie inside the circle representing spoons while some lie outside. So, from this, it can be concluded that some plates are spoons. Thus, this conclusion follows.
So, both conclusions I and II follow. Hence, the second option is correct.
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Question : Directions: In the following question, two statements are given followed by three conclusions I, II, and III. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. Statements: No cup is plate. All plates are spoons. Conclusions: I. Some cups are spoons. II. Some spoons are plates. III. Some plates are spoons.
Option 1: Only conclusion II follows
Option 2: Only conclusion III follows
Option 3: Only conclusions I and III follow
Option 4: Only conclusions II and III 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 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 cardiologists are doctors. II) Some cardiologists are neurologists. Conclusions: I) Some doctors are cardiologists. II) Some doctors are neurologists.
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
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 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 rivers are lakes. Some seas are rivers. Conclusions: I) Some seas are lakes. II) All lakes are rivers.
Option 2: Only Conclusion II follows
Option 3: Only Conclusion I follows
Option 4: Both Conclusions I and II follow
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