Which of the following statements are so related that they cannot both be true but could both be false?
1.All biologists are outstanding teachers
2.Some biologists are outstanding teachers
3.No biologists are outstanding teachers
4.Some biologists are not outstanding teachers
A2 & 4 only
B1 & 4 only
C1 & 3 only ✓ Correct
D3 & 4 only
Correct answer: (C) 1 & 3 only
Explanation
Statements 1 and 3 are contrary to each other.
Statement 1 "All biologists are outstanding teachers" is an A proposition.
Statement 3 "No biologists are outstanding teachers" is an E proposition.
A and E are contraries on the square of opposition.
They cannot both be true, but both can be false together.
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