Question:

Some Apps are Free. All Free Apps have Ads. Some Ad-supported Apps are high-rated. Which of the following conclusion necessarily follows?

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For syllogism and categorical reasoning, carefully analyze subset and intersection relationships to determine which conclusions logically follow.
  • Some free apps are high-rated
  • All high-rated apps have ads
  • No free app is high-rated
  • All ad-supported apps are free
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The Correct Option is B

Solution and Explanation

Step 1: Analyze statements
Some Apps ⊆ Free
All Free Apps ⊆ Ads → Free Apps are always Ad-supported
Some Ad-supported Apps ⊆ High-rated
Step 2: Evaluate conclusions
(a) Not necessarily true; no direct link between Free Apps and High-rated Apps.
(b) True, because all High-rated Apps that are Ad-supported are included, and all Free Apps (which are Ads) are part of the Ad-supported category.
(c) Not necessarily true.
(d) Not necessarily true; some Ad-supported Apps may not be Free.
Step 3: Conclusion — Option (b) is correct.
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