Question

Consider the following information:

Set A: Animals that can fly
Set B: Birds
Set C: Animals that live in water
Using Venn diagrams, represent the relationships between these sets and answer the question. Which region(s) in the Venn diagram represents animals that can fly and also live in water? 
 

• A. Region A
• B. Region B
• C. Regions A and B
• D. Regions A ∩ C

Hint:

In Venn questions, “and” \(\) intersection, “or” \(\) union, and “only” often means subtract other overlapping parts. Always translate the words into set notation first.

Answer 1

The Correct Option is D

Step 1 (Translate the requirement).
“Animals that can fly and also live in water” \(\) elements that belong to both Set A (fly) and Set C (live in water). In set notation, this is \(A \cap C\).
Step 2 (Check each option against \(A \cap C\)).
(a) Region A — includes all flyers, even those that do not} live in water \(\) too broad.
(b) Region B — “birds” only; many birds do not live in water and some flying water animals may not be birds (e.g., flying fish cannot truly fly, while waterfowl are birds in \(A \cap B \cap C\)) \(\) not equivalent to \(A \cap C\).
(c) Regions A and B — union \(A \cup B\), which is even broader and includes non-water animals \(\) incorrect.
(d) Regions B and C — intersection \(B \cap C\); that’s “birds that live in water,” but the question requires “fly and} live in water” regardless of whether they’re birds \(\) should be \(A \cap C\), not \(B \cap C\).
Step 3 (Conclusion).
The correct Venn region is the overlap of A and C, i.e., \(A \cap C\). None of the listed options names this region.
\[ {\text{Intersection }A \cap C\ \text{(not among the given options)}} \]