Which of the following statements can neither be both true nor be together both false?

1.All bread is nutritious

2.Some bread is nutritious

3.Some bread is not nutritious

4.No bread is nutritious

A1 & 2 only

B1 & 3 only ✓ Correct

C1 & 4 only

D3 & 4 only

Correct answer: (B) 1 & 3 only

Explanation

Statement 1 and Statement 3 always take opposite truth values, being contradictories.

Statement 1 is the universal affirmative A: All bread is nutritious.

Statement 3 is the particular negative O: Some bread is not nutritious.

An A and its corresponding O can neither be true together nor false together.

This exact all-or-nothing opposition is the contradictory relation on the square of opposition.

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