Statements: Some teachers are singers. No singer is a dancer. Which conclusion follows?

  • A. Some teachers are not dancers
  • B. No teacher is a dancer
  • C. All teachers are singers
  • D. Some dancers are teachers

Explanation

The teachers who are singers cannot be dancers, which establishes that some teachers are not dancers. The other teachers might well be dancers, so the universal negative is too strong. Combining a particular affirmative with a universal negative always gives a particular negative.

Related questions