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The negation of the statement "All students passed the examination" is

2348Medium DSSSB TGT Computer Science 0 replies 1 views
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The negation of the statement "All students passed the examination" is

  • Asome students passed the examination
  • Bno student passed the examination
  • Call students failed the examination
  • Dat least one student did not pass the examination
Correct answer: D

Explanation

The negation of "for all x, P(x)" is "there exists an x such that not P(x)", i.e. at least one student did not pass.

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