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 gold is silver. All gold is platinum. Conclusions: I. Some silver is platinum. II. All platinum is gold.
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
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Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram for the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some silver is platinum – From the Venn diagram, it is evident that the circles representing silver and platinum overlap and have a part of their area in common. So, from this, it can be concluded that some silver is platinum. Thus this conclusion follows. Conclusion (II): All platinum is gold – From the Venn diagram, it is evident that some parts of the circle representing platinum lie outside the circle representing gold while some lie inside. So, from this, it can be concluded that some platinum is gold. Thus, this conclusion does not follow.
So, only the conclusion I follows. Hence, the fourth option is correct.
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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: All gold is silver. All silver is brass. All brass is copper. Conclusions: I. All gold is copper. II. All silver is copper.
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
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: All goats are black. Some black are white. No black is gold. Conclusions: I. Some goats are white. II. Some goats being gold is a possibility.
Option 1: Only conclusion II follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion I follows
Option 4: 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: Some blue is yellow. All yellow is red. Conclusions: I. Some blue is red. II. All red is yellow.
Option 2: Neither conclusion I nor II 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: 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
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.
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