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 2 of 6.
Srujana said:
10 years ago
The name drink mixes indicates that it is drinkable. So, all red drink mixes are drinkable. All drink mixes are beverages. Some beverages (drink mixers) are red. Both I and III are correct.
(1)
Mauleka Jain said:
9 years ago
You are correct, I agree @Virendra.
(1)
Navya said:
4 years ago
I agree you, thanks, @Ashwin Naik.
Anmol said:
3 years ago
Thanks everyone for explaining.
Naveen Raj Goud said:
1 decade ago
Dear I will tell you the reason.
They said "all drink mixes" are "beverages"., it doesn't mean all "beverages" are "drink mixes".
That is the reason statement 2 is wrong.
Ex: "all probability questions" comes under "maths subject".
Does it mean "maths subject" has only "probability questions" not right. It is just a part in maths.
They said "all drink mixes" are "beverages"., it doesn't mean all "beverages" are "drink mixes".
That is the reason statement 2 is wrong.
Ex: "all probability questions" comes under "maths subject".
Does it mean "maths subject" has only "probability questions" not right. It is just a part in maths.
Alex said:
10 years ago
Let me clear the confusion for some:
"Choose your answer based solely on the information given in the FIRST THREE facts".
So just because the 3rd statement/question says "All red drink mixes are drinkable".
Doesn't make it a FACT from which you can base your decision.
"Choose your answer based solely on the information given in the FIRST THREE facts".
So just because the 3rd statement/question says "All red drink mixes are drinkable".
Doesn't make it a FACT from which you can base your decision.
Syed Arbish Ali Shah said:
2 years 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.
ENOCK said:
10 years ago
(I) All drink mixes are beverages.
Thus, some beverages may or may not be drink mixes.
(II) all beverages are drinkable.
Thus some drinkable may not be beverages. It again means all drink mixes are drinkable since all beverages are drinkable.
(III) some beverages are red.
Thus, some may not be read. It again means that the beverages that are red may either be drink or non-drink mixes thus all may be drink mixes or all may be non-drink mixes or mixture of drink and non-drink mixes.
Conclusion:
From the facts and analysis, we can say that all that part of beverages that are red can be drink mixes and if it is drink mixes then it is drinkable since all beverages are drinkable and all drink mixes are beverages. Therefore "All red drink mixes are drinkable" is a fact.
Moreover, since all red drink mixes is a fact, then "Some drink mixes is red" because if some were not red then how did they became drinkable in the fact we have already proven? Thus if some were not, then we wouldn't have all red drink mixes been drinkable.
Therefore option C is the answer.
Thus, some beverages may or may not be drink mixes.
(II) all beverages are drinkable.
Thus some drinkable may not be beverages. It again means all drink mixes are drinkable since all beverages are drinkable.
(III) some beverages are red.
Thus, some may not be read. It again means that the beverages that are red may either be drink or non-drink mixes thus all may be drink mixes or all may be non-drink mixes or mixture of drink and non-drink mixes.
Conclusion:
From the facts and analysis, we can say that all that part of beverages that are red can be drink mixes and if it is drink mixes then it is drinkable since all beverages are drinkable and all drink mixes are beverages. Therefore "All red drink mixes are drinkable" is a fact.
Moreover, since all red drink mixes is a fact, then "Some drink mixes is red" because if some were not red then how did they became drinkable in the fact we have already proven? Thus if some were not, then we wouldn't have all red drink mixes been drinkable.
Therefore option C is the answer.
Deepshikha said:
10 years ago
Consider this example.
Drink mixes : Orange.
Beverages : Orange and Pomegranate.
Point 1:
All DM are B (so all orange are B).
Point 2:
All B are drinkable (so both orange and pomegranate are drinkable).
Point 3:
Some B are Red (so pomegranate are red).
Now Answer:
1. Some DM are Red = No in my example (can't say in general).
2. All B are DM = No, It say all DM are B nor B are DM.
3. All red DM are drinkable = Yes.
Drink mixes : Orange.
Beverages : Orange and Pomegranate.
Point 1:
All DM are B (so all orange are B).
Point 2:
All B are drinkable (so both orange and pomegranate are drinkable).
Point 3:
Some B are Red (so pomegranate are red).
Now Answer:
1. Some DM are Red = No in my example (can't say in general).
2. All B are DM = No, It say all DM are B nor B are DM.
3. All red DM are drinkable = Yes.
Guddu said:
10 years ago
Use Venn diagrams.
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