Syllogisms · Question 15 · Hard

Syllogisms question 15

Statements:
Some boxes are tins.
All tins are jars.
No jar is a cup.
Some cups are plates.
Conclusions:
I. Some boxes are not cups.
II. Some plates are not jars.
Assuming the statements to be true, which conclusion(s) logically follow(s)?

  1. Only conclusion I follows
  2. Only conclusion II follows
  3. Both I and II follow
  4. Neither I nor II follows
Answer and explanation

Answer: C. Both I and II follow

Explanation: The boxes that are tins are jars, and jars are never cups, so some boxes are not cups (I). The plates that are cups cannot be jars, so some plates are not jars (II). Both follow.

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