JEE Mathematics · Medium

Mathematical Reasoning: Negation MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
NegationMediumQuestion 420004

Question

The negation of 'Some students are intelligent' is:
  1. A
    No student is intelligent
    Correct
  2. B
    All students are intelligent
  3. C
    Some students are not intelligent
  4. D
    There is exactly one intelligent student

Correct answer

No student is intelligent

Explanation

Negation of 'Some A are B' = 'No A is B' (¬∃x: B(x) = ∀x: ¬B(x)). Negation of 'All A are B' = 'Some A are not B'.