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Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and decide which conclusion(s) logically follow(s) from the given statements. Statements: All laptops are mobiles. Some mobiles are televisions. All televisions are radios. Conclusions: (I) Some radios are televisions. (II) All televisions are mobiles.
Neither conclusion (I) nor (II) follows.
Both conclusions (I) and (II) follow.
Only conclusion (I) follows.
Only conclusion (II) follows.
Only conclusion (I) follows.
In syllogisms, 'Some A are B' always implies 'Some B are A'. 'All A are B' does NOT imply 'All B are A' (only 'Some B are A').
In syllogisms, 'Some A are B' always implies 'Some B are A'. 'All A are B' does NOT imply 'All B are A' (only 'Some B are A').
Analyze Statement Relationships
1. All Laptops are Mobiles (L inside M). 2. Some Mobiles are Televisions (M overlaps T). 3. All Televisions are Radios (T inside R).
Evaluate Conclusion I
Statement: All Televisions are Radios. By conversion, 'Some Radios are Televisions' is always true. (I follows)
Evaluate Conclusion II
Statement: Some Mobiles are Televisions. This means there is an intersection between M and T, but it does not guarantee all T are M. (II does not follow)
A: Incorrect as II does not follow. B: Incorrect as II does not follow. D: Incorrect as I does follow.
C is correct because 'Some Radios are Televisions' is the converse of 'All Televisions are Radios', which is true, while 'All Televisions are Mobiles' is not supported by the statement 'Some Mobiles are Televisions'.
In syllogisms, remember that 'Some' is reversible, but 'All' is not. If you see 'All A are B', you can definitively conclude 'Some B are A'.
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