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.
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)
Soumya said:
1 decade ago
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.
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.
Dinesh said:
1 decade ago
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.
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.
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)
Ravi said:
1 decade ago
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.
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.
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.
Virendra singh said:
1 decade ago
1 draw circle as drink mixes come under beverage and beverage come under drinkable.As some beverages are red so this new circle come under drinkable touching beverages circle.now see
2according to first fact drink mixes may be red but not confirm.
3all beverage can't be drinkable it is reverse so it is wrong
4 all red drink mixes come under drinkable so it is true.
2according to first fact drink mixes may be red but not confirm.
3all beverage can't be drinkable it is reverse so it is wrong
4 all red drink mixes come under drinkable so it is true.
Pranav Mittal said:
1 decade ago
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.
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.
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.
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