Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: I. All silver is gold. II. No gold is platinum. Conclusions: I. Some gold is silver. II. Some silver is platinum.
Option 1: Neither I nor II follows
Option 2: Only II follows
Option 3: Both I and II follow
Option 4: Only I follows
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Correct Answer: Only I follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some gold is silver – From the Venn diagram, it is evident that some parts of the circle representing gold lie inside the circle representing silver while some lie outside. So, from this, it can be concluded that some gold is silver. Thus, this conclusion follows. Conclusion (II): Some silver is platinum – From the Venn diagram, it is evident that all silver is gold and there is a negative relation between gold and platinum. So, from this, it can be concluded that no silver is gold. Thus, this conclusion does not follow.
So, the only conclusion I follows. Hence, the fourth option is correct.
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Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from
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