Question

Fact 1: All drink mixes are beverages.
Fact 2: All beverages are drinkable.
Fact 3: Some beverages are red.
If the first three statements are facts, which of the following statements must also be a fact?
I: Some drink mixes are red.
II: All beverages are drink mixes.
III: All red drink mixes are drinkable.

Answer 1

hello!

fact 1: All drink mixes are beverages
fact 2:All beverages are drinkable
fact 3:Some beverages are red

Fact I:Some drink mixes are red.
some drink mixes,i.e,beverages are red------fact 3

Fact II:All beverages are drink mixes.
it cannot be true. because all drink mixes are beverages but not all beverages are drink mixes

Fact III:All red drink mixes are drinkable.
all red drink mixes,i. e,beverages are drinkable.
it is true. because all beverages are drinkable------fact 2

So both Fact I and Fact II are correct.