Logical Reasoning - Logical Problems - Discussion

Statement 1 is wrong because all drink mixes are beverages but all beverages are not drink mixes.

Beverages constitutes of drink mixes and non drink mixes. So coming to the statement 'some drink mixes are red' and we know SOME beverages are red.

These SOME may constitute of:

1. Complete drink mixes.
2. Complete non drink mixes.
3. Both drink mixes and non drink mixes.

So any of the combination is possible. So it may be true or may not be. That's why it is considered FALSE.

Hope you get it. Thank you.

It is specified that all drink mixes are beverages but it is not confirm that all the beverages are drink mixes. Hence only the 3rd statement is a fact.

Let's say drink mixes are cola. Since, all colas are beverages and all beverages are drinkable. But some beverages are red. Apple juice is also beverage. All colas and apple juices are beverages, and all beverages are drinkable.

But no cola is an apple juice so 1 is wrong. Not all beverage are cola, since apple juice is also a beverage, so 2 is wrong. All red drink mixes (a red cola or mirinda) are drinkable, hence 3 is right. So D is right. Best way to do it by drawing venn diagram, you would get a better understanding.

I can't understand.

Every one here agrees that 3 is the right one. So lets not talk about it. The controversy here is about choice - one.

According to me,

If All Drink mixes are Beverages.

And Some beverages are red.

Possibility is - Yes some drink mixes can be red or may be not.

So since we are not sure if some drink mixes can be red, first choice can not be a fact (Actual Truth).

Even I got it wrong at the beginning then I understood.

Thank you.

1) All Drink mixes are --->Beverages.

2) Other drinks can also be --->Beverages.

3) All Beverages (1 and 2) are ---->Drinkable.

4) Some beverages are Red.

Coming to the Statements:

I: Some drink mixes are red. ------- Need not be, other drinks can be red.

II: All beverages are drink mixes. ---- Need not be, Beverages can include other drinks as well.

III: All red drink mixes are drinkable. ---- YES since all beverages (which include drink mixes) are drinkable.

I can't understand need to more explanation.

Just an interesting question.

"All red drink mixes are drinkable".

Here, you are accepting that red drink mixes are possible.

Doesn't that make "Some drink mixes are red" true?

Answer should be option (E) - None of the statements is a known fact.

Explanation :

First you draw 3 concyclic circles, innermost for drink mix, middle one for beverages and outer for drinkable. Then one more circle intersecting outer two circles(Drinkable and Beverages) but not innermost circle(Drink mix) as the statement 3 says only some beverages(need not drink mix) are red. So some beverages surely including some drinkable may not include drink mix.

Its not necessary that some drink mixes are red. It might be the case that some drink mixes are red, but not necessarily. So, 1st statement is not true.

I will explain more: There are some beverages which are not drink mixes. So, it might be the case that all those beverages which are not drink mixes, are red. So, none of the drink mixes are red.