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Examoogle • User • info@examoogle.com • EE-2024-8821
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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 tablets are screens. All screens are gadgets. Conclusions: (I) Some gadgets are tablets. (II) No gadgets are tablets.
Only conclusion (II) follows
Neither conclusion (I) nor (II) follows
Both conclusions (I) and (II) follow
Only conclusion (I) follows
Only conclusion (I) follows
Since all tablets are screens and all screens are gadgets, tablets are implicitly a subset of gadgets. Thus, 'Some gadgets are tablets' is logically true (Subset rule), while 'No gadgets are tablets' contradicts this.
Since all tablets are screens and all screens are gadgets, tablets are implicitly a subset of gadgets. Thus, 'Some gadgets are tablets' is logically true (Subset rule), while 'No gadgets are tablets' contradicts this.
Visualize with Venn Diagram
Draw a small circle for 'Tablets' inside a larger circle for 'Screens'. Then, draw the 'Screens' circle inside an even larger circle for 'Gadgets'. This represents: Tablets ⊂ Screens ⊂ Gadgets.
Evaluate Conclusion (I)
Conclusion (I) says 'Some gadgets are tablets'. Since the entire 'Tablets' circle is inside the 'Gadgets' circle, any point in the 'Tablets' set is inherently part of the 'Gadgets' set. Therefore, this follows.
Evaluate Conclusion (II)
Conclusion (II) says 'No gadgets are tablets'. This contradicts the established fact that all tablets are gadgets (the intersection is the entire set of tablets). Thus, this does not follow.
A: Only (I) is correct because (II) is a direct contradiction of the premise. B: Incorrect because (II) is false. C: Incorrect because (I) is definitely true. D: Incorrect because (I) is true and (II) is false.
D is correct because 'All tablets are screens' and 'All screens are gadgets' implies all tablets are gadgets, making 'Some gadgets are tablets' necessarily true.
In 'All A are B' and 'All B are C' structures, always remember that 'All A are C' and 'Some C are A' are always valid conclusions.
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