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In the following question below are given three statements followed by three conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.
Statements:
I. No pin is silver.
II. All silver are metal.
III. Some metal are gold.
Conclusions:
I. No metal is pin.
II. Some pin are gold.
III. Some gold are silver.
  • a)
    Only I follows
  • b)
    Only II follows
  • c)
    Only III follows
  • d)
    None follows
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In the following question below are given three statements followed by...
Consider the following least possible Venn diagram,
Conclusions:
I. No metal is pin → False (It is possible but not definite.)
II. Some pin are gold → False (It is possible but not definite.)
III. Some gold are silver → False (It is possible but not definite.)
Hence, none of the conclusions follows.
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Most Upvoted Answer
In the following question below are given three statements followed by...
Consider the following least possible Venn diagram,
Conclusions:
I. No metal is pin → False (It is possible but not definite.)
II. Some pin are gold → False (It is possible but not definite.)
III. Some gold are silver → False (It is possible but not definite.)
Hence, none of the conclusions follows.
Free Test
Community Answer
In the following question below are given three statements followed by...
Given Statements:
I. No pin is silver.
II. All silver are metal.
III. Some metal are gold.

Conclusions:
I. No metal is pin.
II. Some pin are gold.
III. Some gold are silver.

Explanation:

To determine which conclusions logically follow the given statements, we need to analyze each statement and its implications.

Statement I: No pin is silver.
This statement means that there is no overlap between the categories of "pin" and "silver". In other words, there are no pins that can be classified as silver.

Statement II: All silver are metal.
This statement indicates that all objects classified as "silver" also fall under the category of "metal". It implies that silver is a subset of metal.

Statement III: Some metal are gold.
This statement suggests that there is at least one object that belongs to both the categories of "metal" and "gold". It implies that gold is a subset of metal.

Conclusion I: No metal is pin.
This conclusion cannot be logically derived from the given statements. Although it is true that no pin is silver (Statement I), it does not necessarily mean that no metal is pin. There could be other types of metals that are not silver.

Conclusion II: Some pin are gold.
This conclusion also cannot be logically derived from the given statements. While it is true that some metal are gold (Statement III), it does not imply that some pin are gold. The relationship between pin and gold is not established in the given statements.

Conclusion III: Some gold are silver.
This conclusion cannot be logically derived from the given statements. Although it is true that some metal are gold (Statement III), it does not necessarily mean that some gold are silver. The relationship between gold and silver is not established in the given statements.

Therefore, none of the given conclusions logically follow the given statements (Option D).
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In the following question below are given three statements followed by three conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.Statements:I. No pin is silver.II. All silver are metal.III. Some metal are gold.Conclusions:I. No metal is pin.II. Some pin are gold.III. Some gold are silver.a)Only I followsb)Only II followsc)Only III followsd)None followsCorrect answer is option 'D'. Can you explain this answer?
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