Syllogisms · Question 17 · Easy

Syllogisms question 17

Statements:
No fruit is a vegetable.
All carrots are vegetables.
Conclusions:
I. No carrot is a fruit.
II. Some vegetables are not fruits.
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: Carrots lie inside vegetables, which share nothing with fruits, so no carrot is a fruit (I). Since no vegetable is a fruit, some (indeed all) vegetables are not fruits (II). Both follow.

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