Which of the following statements are so related that they cannot both be true, although both may be false?

1.All sportspersons are athletes

2.No sportspersons are athletes

3.Some sportspersons are athletes

4.Some sportspersons are not athletes

A1 & 2 only ✓ Correct

B3 & 4 only

C1 & 4 only

D2 & 3 only

Correct answer: (A) 1 & 2 only

Explanation

Statement 1 and Statement 2 cannot both be true yet may both be false.

That description is the definition of contrariety.

Statement 1 is the universal affirmative A, All sportspersons are athletes.

Statement 2 is the universal negative E, No sportspersons are athletes.

Two opposed universals are contraries on the square of opposition.

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