Logical Reasoning - Logical Problems - Discussion

Discussion Forum : Logical Problems - Type 4 (Q.No. 3)
Directions to Solve
The logic problems in this set present you with three true statements: Fact 1, Fact 2, and Fact 3. Then, you are given three more statements (labeled I, II, and III), and you must determine which of these, if any, is also a fact. One or two of the statements could be true; all of the statements could be true; or none of the statements could be true. Choose your answer based solely on the information given in the first three facts.

3.
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.
I and II only
II only
I and III only
III only
None of the statements is a known fact.
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
55 comments Page 5 of 6.

Varshini said:   1 decade ago
What is the difference between drinkable and drinkmixes ?

Aditya said:   1 decade ago
Statement I and II seem to be correct . Why III is selected?

Dasa dilip said:   1 decade ago
Would you pls give me the demo ?

Debasis said:   1 decade ago
Right, the option E should be the answer, else conclusion 1 and 3 are contradictory and there is no option for neither nor.

Jieling said:   1 decade ago
Statement III is right;.

Fact 1: All drink mixes = beverages;.
Fact 2: All beverages = drinkable.

According to this, all drink mixes = drinkable ===> regardless of the color. Therefore statement III (All red drink mixes are drinkable) is right.

Johnny said:   1 decade ago
The I and III statement should be the answer. Since all red drink mixes are drinkable so it could also fair to say that some drink mixes are red (and drinkable) which all refer all to beverages. I stand to be corrected>.

Jai said:   1 decade ago
Statement I and II seem to be correct . Why III is selected?

Susa said:   1 decade ago
"All drink mixes are beverages" but not all beverages are drink mixes so we can conclude "some beverages are drink mixes" and "Some beverages are red".

I. Some drink mixes are red. - Only in extreme case it is true.

II. All beverages are drink mixes - Is false as per above discussion.

"All drink mixes are beverages" and "All beverages are drinkable". So we can say "All drink mixes are drinkable".

III. All red drink mixes are drinkable - true as cumulative result.

So Option D) III Only is the correct answer.

Robot said:   1 decade ago
The 1st one is wrong because some beverages which are not drink mixes can be red. The second one is obvious.

Hence the third.

Sudha said:   1 decade ago
Here it is given that in fact 1 "all drink mixes are beverages", it does not mean that all the beverages will only be drink mixes, there might be some beverages which are not drink mixes. Hence Statement II is false.

In Fact 3 it is given that "some beverages are red", it does not mean that those beverages would be only drink mixes, it may or may not be. Hence it is uncertain. So Statement I is false.

In Fact 2 it is given that "all beverages are drinkable", it means all drink mixes which were beverages and beverages which wee red and beverages themselves it means everything is drinkable. Hence Statement III is true which means all drink mixes which may be red are drinkable. Hence only Statement III is true. It would be easily understood when we use Venn diagrams.


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