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. |
| I: | Some drink mixes are red. |
| II: | All beverages are drink mixes. |
| III: | All red drink mixes are drinkable. |
Discussion:
55 comments Page 1 of 6.
Awais said:
6 months ago
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.
- 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.
(3)
Shaili Parikh said:
1 year ago
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.
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.
(2)
Khushi said:
1 year ago
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.
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.
(1)
Yati said:
1 year ago
I think the statement I and III are correct!
(4)
Syed Arbish Ali Shah said:
1 year ago
The first statement is not a known fact.
All beverages are not drink mixes. So, all the red beverages might not be drink mixes.
Hence, we are not certain that some drink mixes are red. No drink mixes might be red if all the red beverages are not drink mixes.
All beverages are not drink mixes. So, all the red beverages might not be drink mixes.
Hence, we are not certain that some drink mixes are red. No drink mixes might be red if all the red beverages are not drink mixes.
Othieno Francis said:
2 years ago
Statements I and II are correct answers.
(3)
Anmol said:
2 years ago
Thanks everyone for explaining.
Navya said:
3 years ago
I agree you, thanks, @Ashwin Naik.
Ashwin Naik said:
4 years ago
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!!
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!!
(13)
Peruth Nakimenya said:
6 years ago
Statement I and II is the correct answer.
(1)
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