GATE ME 2026 Set 1 — Question 4
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General Aptitude → Analytical Aptitude → Deduction & Induction
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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?
Correct answer
(D) There exists at least one mango in the basket that is not good.
Solution
The statement "All mangoes in the basket are good" is a universal affirmative statement (). If this statement is false, its negation must be true. The negation of "All are " is "Some are not " or "There exists at least one that is not " (). Therefore, option (D) is necessarily true.
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