GATE Mechanical 2026 | GA | Question: 4

Question

'All the mangoes in the basket are good.'

If the above statement is false, then which one of the following statements is necessarily true?

• A. All the mangoes in the basket are not good.
• B. No mango in the basket is good.
• C. In the basket, some of the mangoes are good and some are not good.
• D. There exists at least one mango in the basket that is not good.

Answer 1

This question is based on the  concept of  universal quantifier and  existential quantifier in Discrete Math

contradiction of given statement is  Option D

Answer 2

so option d must be true ans as if d is wrong then upper all 3 option also were itself wrong, taking a contradict angle.