The negation of "Some students like hockey" is:

2022

The negation of "Some students like hockey" is:

Answer: B. Every student dislike hockeyNegation concept: The statement "Some students like hockey" means "There exists at least one student who likes hockey." Formal negation: The negation of…

  1. A.

    Some students dislike hockey

  2. B.

    Every student dislike hockey

  3. C.

    Every student like hockey

  4. D.

    All students like hockey

Attempted by 232 students.

Show answer & explanation

Correct answer: B

Negation concept: The statement "Some students like hockey" means "There exists at least one student who likes hockey."

  • Formal negation: The negation of "there exists at least one student who likes hockey" is "there does not exist a student who likes hockey."

  • Equivalent phrasing: "There does not exist a student who likes hockey" is equivalent to "No students like hockey" or "Every student does not like hockey."

  • Why other choices are wrong: Saying "Some students dislike hockey" does not contradict the original statement because both could be true at once.

  • Why other choices are wrong: Saying "Every student likes hockey" or "All students like hockey" asserts a universal positive (everyone likes hockey), which is not the logical negation of "some like hockey."

Conclusion: The correct negation is that no students like hockey (equivalently, every student does not like hockey).

A video solution is available for this question — log in and enroll to watch it.

Explore the full course: Mppsc Assistant Professor Computer Science Paper 2

Loading lesson…