Logical Reasoning - Logical Problems - Discussion

Here, Concl 1 & 3 both are Correct.
1, Since all Drink mixes are Beverages then some red will be Drink mixes.
3. Since all Bev are drinkable then automatically some Red which is said to be Bev are drinkable!!

Drink mixes = beverages.
Beverages = drinkable.
Some beverages = red.

I) some drink mixes are red:

Ok, we know that all drink mixes are beverages but it is not explained that all beverages are drink mixes so this answer is not a known fact.

II) All beverages are drink mixes:

It is the same explanation than upper. We know that all drink mixes are beverages but it is not explained that all beverages are drink mixes so this answer is not a known fact.

III) All red drink mixes are drinkable:

For this one, we need to make the deduction. Indeed, we know that all drink mixes are beverages and that some beverages are red so some drink mixes are red and as all beverages = drink mixes = drinkable Finally all red drink mixes are drinkable which is a known fact.

I think the statement I and III are correct!

1. Statement I : "Some drink mixes are red."
- We know from Fact 3 that some **beverages" are red. However, there's no information in the facts that directly tells us that any **drink mixes** (a subset of beverages) are red. So, this statement "cannot be concluded as a fact".

2. Statement II: "All beverages are drink mixes."
- Fact 1 tells us that all drink mixes are beverages, but it doesn't imply that all beverages are drink mixes. There could be other beverages that are not drink mixes. So, this statement "is not a fact".

3. Statement III: "All red drink mixes are drinkable."
- Fact 2 tells us that all beverages are drinkable, and since all drink mixes are beverages (Fact 1), this would apply to red drink mixes as well. So, this statement "must be a fact".

Conclusion::
The correct answer is III only.

Statements I and II are correct answers.

According to me, it should be C.

Answer should be C.

Answer is 3 only.

Beverages is the main set which is drinkable.
All drink mixes are beverages implying that drink mixes are a subset of beverages.
Some beverages are red so it is not sure that any drink mixes are red.

i) Drink mixes could or could not be red.
ii) Since drink mixes are a subset of beverages, there could be more beverages other than drink mixes.
iii) Since red drink mixes are a part of beverages, they are all drinkable.

Statement I and II is the correct answer.

I) Some drink mixes are red, this isn't a fact as we know some beverages are red, but beverages may include drink mixes, plus something else; thus those something else could be red and not the drink mix.

Ii) All beverages are drink mixes, this isn't a fact too as I explained above. For example, All teddy bears are toys, however, all toys are not teddy bears.

Iii) We know that all drink mixes are drinkable, so red which falls under all is also drinkable.

Then the answer is only iii.