Question : Directions: Given below are two statements and two conclusions. Take the statements to be true even if they are at variance with commonly known facts, and decide whether the conclusion(s) follow(s) the given statements Statements: All dogs are cats. Some cats are not dolls. Conclusions: I. All dolls are cats. II. Some cats are dogs.
Option 1: Only conclusion II follows
Option 2: Only conclusion I follows
Option 3: Both the conclusions follow
Option 4: Neither conclusion I nor II follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusion – Conclusion (I): All dolls are cats – From the above diagram, it is evident that there is a negative relation between dolls and cats, i.e., some cats are not dolls. So, this conclusion doesn't follow. Conclusion (II): Some cats are dogs – From the Venn diagram, it is evident that some parts of the circle representing cats lie inside the circle representing dogs while some lie outside. Thus, this conclusion follows.
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: All dogs are cats. No cat is a rat. Conclusions: I. Some rats are cats. II. Some dogs are rats.
Option 1: Neither conclusion I nor II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion II follows
Question : Directions: In the following question, some statements are given followed by some conclusions I and II. You have to consider the 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 follows from the given statements. Statements: Some cats are dogs. All dogs are black. Conclusions: I. Some cats are black. II. Some dogs are black.
Option 2: Both conclusions I and II follow
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: Some cats are rats. All rats are mice. Conclusions: I. Some cats are mice. II. Some mice are cats.
Option 1: Both conclusions I and II follow
Option 2: Only conclusion II follows
Option 3: Neither conclusion I nor II follows
Option 4: Only conclusion I follows
Question : Directions: Given below are two statements and two conclusions. Take the statements to be true even if they are at variance with commonly known facts, and decide whether the conclusion(s) follow(s) the given statements. Statements: I. Some dates are hazelnuts. II. All hazelnuts are walnuts. Conclusions: I. Some dates are walnuts. II. Some walnuts are hazelnuts.
Option 1: Both conclusions follow
Question : Directions: Given below are two statements and two conclusions. Take the statements to be true even if they are at variance with commonly known facts, and decide whether the conclusion(s) follow(s) the given statements. Statements: All irons are coppers. All coppers are aluminiums. Conclusions: I. Some aluminum are irons. II. Some aluminum are coppers.
Option 2: Neither conclusion I nor II follows
Option 4: Both conclusions follow
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