Question

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

• A. Some free apps are high-rated
• B. All high-rated apps have ads
• C. No free app is high-rated
• D. All ad-supported apps are free

Hint:

For syllogism and categorical reasoning, carefully analyze subset and intersection relationships to determine which conclusions logically follow.

Answer 1

The Correct Option is B

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.