Choose the set in which the statements are most logically related.
A. No lunatics are fit to serve on a jury. B. Everyone who is sane can do logic. C. None of your sons can do logic. D. Some who can do logic are fit to serve on a jury. E. All who can do logic are fit to serve on a jury. F. Everyone who is sane is fit to serve on a jury.
Show Hint
A set is logically related when two of its statements, taken as premises, force the third statement as a conclusion (a valid syllogism). Test each option that way.
Step 1: Understand the task: Find the set in which two statements give the third.
Step 2: Test option (B) BEF: B: Everyone sane can do logic. E: Everyone who can do logic is fit to serve on a jury. So everyone sane is fit to serve on a jury, which is F. So B and E together imply F.
Step 3: Check the others: (A) BDE: D is a particular statement and E is a universal statement; D already follows from E (given that some can do logic), so there is no deduction using B. (C) BDF: B and D (particular) give nothing about F. (D) ADE: A is about lunatics and the others are not connected to it.
Final Answer: The correct option is (1): BEF (B and E together give F).