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Discussion

Statements :

1. All engineers are graduates.
2. Some graduates are teachers.
3. No teacher is an engineer.

Conclusions :

I. Some graduates are not engineers.
II. No engineer is a teacher.

  • A.Only I follows
  • B.Only II follows
  • C.Both I and II follow
  • D.Neither I nor II follows

Answer: C

Both I and II follow.

Conclusion II is the converse of statement 3. A universal negative can be converted directly: if no teacher is an engineer, then no engineer is a teacher.

For conclusion I, statement 2 says some graduates are teachers, and statement 3 says no teacher is an engineer. Those graduates who are teachers are therefore not engineers, so some graduates are not engineers.

Since each conclusion follows on its own, 'Only I', 'Only II' and 'Neither' are all wrong.

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