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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 screens are mouse. Some mouses are keyboards. Conclusions: (I) Some screens are keyboards. (II) No screen is a keyboard.
Neither conclusion (I) nor (II) follows
Both conclusions (I) and (II) follow
Only conclusion (I) follows
Only conclusion (II) follows
Neither conclusion (I) nor (II) follows
The statements only establish a connection between Screen and Mouse, and Mouse and Keyboard. There is no direct link between Screen and Keyboard, meaning both 'Some' and 'No' are possibilities that are not necessarily true.
The statements only establish a connection between Screen and Mouse, and Mouse and Keyboard. There is no direct link between Screen and Keyboard, meaning both 'Some' and 'No' are possibilities that are not necessarily true.
Visualize Statements
All screens are mouse: The 'Screens' set is entirely inside the 'Mouse' set. Some mouses are keyboards: The 'Keyboards' set partially overlaps the 'Mouse' set.
Evaluate Conclusion (I)
Some screens are keyboards: Looking at the Venn diagram, there is no necessity for the 'Screens' and 'Keyboards' circles to overlap. Thus, this does not logically follow.
Evaluate Conclusion (II)
No screen is a keyboard: While the circles might not overlap in one possibility, in another valid possibility, they could overlap. Therefore, this is not necessarily true either.
B: Claims (II) follows, but it is possible for some screens to be keyboards. C: Claims both follow, but they are contradictory and neither is necessarily true. D: Claims only (II) follows, which is not guaranteed.
A is correct because the statements do not provide a direct link between Screens and Keyboards, making it impossible to confirm either 'Some' or 'No' as a universal truth.
In Syllogism, if two objects do not have a defined relationship, 'Some' and 'No' conclusions are always treated as 'Cannot be determined' (do not follow).
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