Paper 1 · Logical Reasoning
UGC NET December 2022 (02.03.2023) Shift-II
Which of the following statements can neither be both true nor be together both false?
- All bread is nutritious
- Some bread is nutritious
- Some bread is not nutritious
- No bread is nutritious
A1 & 2 only
B1 & 3 only ✓ Correct
C1 & 4 only
D3 & 4 only
Correct answer: (B) 1 & 3 only — The contradictory pair is All bread is nutritious and Some bread is not nutritious, so the answer is 1 and 3.
Explanation
★The contradictory pair is All bread is nutritious and Some bread is not nutritious, so the answer is 1 and 3.
★Two contradictory statements always have opposite truth values.
★Statement 1 is the universal affirmative, All bread is nutritious.
★Statement 3 is the particular negative, Some bread is not nutritious.
★The universal affirmative and the particular negative are exact contradictories.
★So they cannot both be true and cannot both be false.
★So the answer is items 1 and 3.
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