The GATE Grind

GATE 2026 ME – Question 4

General Aptitude · Analytical Aptitude: Logical Reasoning and Deduction · 1 mark · Multiple choice

'All the mangoes in the basket are good.'

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

  1. All the mangoes in the basket are not good.
  2. No mango in the basket is good.
  3. In the basket, some of the mangoes are good and some are not good.
  4. There exists at least one mango in the basket that is not good.

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Show answer and explanation

Correct answer: (D) There exists at least one mango in the basket that is not good.

Explanation

The negation of "all are good" is "at least one is not good". Options A and B claim too much, since they say that none are good, and option C claims that some mangoes are good, which the negation does not tell us.