Question

Statements:
1. All whales are fish.
2. Some fish are not amphibians.
3. All whales are amphibians.
4. Some amphibians are not fish.
Conclusions:
(a) Some fish are amphibians
(b) Some amphibians are fish
(c) Only whales are both fish and amphibians
(d) All amphibians are fish

• A. Only (a) and (b)
• B. Only (c)
• C. Only (d)
• D. None of the above

Hint:

When dealing with universal sets (All, Some), always compare exclusivity — use Venn diagrams if needed.

Answer 1

The Correct Option is B

Step 1: Combine statements logically

All whales are fish and all whales are amphibians → So, whales are both.
But not all fish are amphibians and not all amphibians are fish.
Therefore, only whales are guaranteed to be both.

Step 2: Evaluate conclusions

(a) “Some fish are amphibians” — Cannot be concluded, since some are not amphibians.
(b) “Some amphibians are fish” — Also not guaranteed.
(c) “Only whales are both” — Supported by statements 1 and 3.
(d) “All amphibians are fish” — Contradicted by Statement 4.

% Final Answer \[ \boxed{\text{Only (c)}} \]