Syllogisms · Question 13 · Hard

Syllogisms question 13

Statements:
All mangoes are fruits.
Some fruits are sweet things.
Conclusions:
I. Some mangoes are sweet things.
II. No mango is a sweet thing.
Assuming the statements to be true, which conclusion(s) logically follow(s)?

  1. Only conclusion I follows
  2. Only conclusion II follows
  3. Neither I nor II follows
  4. Either I or II follows
Answer and explanation

Answer: D. Either I or II follows

Explanation: Neither conclusion is definite, because mangoes may or may not overlap the sweet fruits. But I and II form a complementary pair (one 'some', one 'no' between the same terms), so exactly one of them must be true: either I or II follows.

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