Question:

If all Bloops are Razzies and some Razzies are Lazzies, which of the following is definitely true?

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For logical reasoning problems involving sets, draw a Venn diagram to represent the relationships between categories. Focus on what must be true based on the given statements, and test each option by considering whether it is always true or only sometimes true. Avoid assuming additional relationships not explicitly stated.
Updated On: May 30, 2025
  • All Bloops are Lazzies
  • Some Bloops are Lazzies
  • Some Razzies are Bloops
  • No Bloops are Lazzies
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The Correct Option is C

Solution and Explanation

To solve the problem, we need to analyze the given statements and determine which option is definitely true.

1. Understanding the Concepts:

- All Bloops are Razzies: Every Bloop is inside the Razzies group.
- Some Razzies are Lazzies: There is partial overlap between Razzies and Lazzies.
- We want to find a conclusion that must be true given these conditions.

2. Evaluate the Options:

- (A) All Bloops are Lazzies: Not necessarily true since only some Razzies are Lazzies.
- (B) Some Bloops are Lazzies: Cannot be concluded as we don't know if Bloops overlap with Lazzies.
- (C) Some Razzies are Bloops: This is true because all Bloops are Razzies, so Bloops form a subset of Razzies, meaning some Razzies are indeed Bloops.
- (D) No Bloops are Lazzies: Cannot be concluded; no information confirms this.

Final Answer:

The correct option is C: Some Razzies are Bloops.

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