In the question given below, three statements are followed by four conclusions numbered 1, 2, 3 and 4. You have to consider every given statement as true, even if it does not conform to the well-known facts. Read the conclusions and then decide which of the conclusions can be logically derived.Statements: Some newspapers are radios. Some radios are televisions. No television is a magazine. Conclusions:1. No newspaper is a magazine.2. No radio is a magazine.3. Some radios are not magazines.4. Some newspapers are televisions.
Question
In the question given below, three statements are followed by four conclusions numbered 1, 2, 3 and 4. You have to consider every given statement as true, even if it does not conform to the well-known facts. Read the conclusions and then decide which of the conclusions can be logically derived.Statements: Some newspapers are radios. Some radios are televisions. No television is a magazine. Conclusions:1. No newspaper is a magazine.2. No radio is a magazine.3. Some radios are not magazines.4. Some newspapers are televisions.
Solution
Analyzing the statements and conclusions:
Statements:
- Some newspapers are radios.
- Some radios are televisions.
- No television is a magazine.
Conclusions:
-
No newspaper is a magazine. - We cannot definitively conclude this from the given statements. While it's true that no television is a magazine, we don't know the relationship between newspapers and magazines. So, this conclusion is not necessarily true.
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No radio is a magazine. - This conclusion is also not necessarily true. While we know that no television is a magazine, we don't know the relationship between radios and magazines.
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Some radios are not magazines. - This conclusion is true. Since some radios are televisions and no television is a magazine, it follows that some radios are not magazines.
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Some newspapers are televisions. - This conclusion is not necessarily true. While some newspapers are radios and some radios are televisions, we cannot definitively conclude that some newspapers are televisions.
So, only conclusion 3 can be logically derived from the given statements.
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