Logical Reasoning - Logical Deduction - Discussion
Discussion Forum : Logical Deduction - Section 1 (Q.No. 2)
Directions to Solve
In each question below are given two statements followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.
Give answer:
- (A) If only conclusion I follows
- (B) If only conclusion II follows
- (C) If either I or II follows
- (D) If neither I nor II follows and
- (E) If both I and II follow.
2.
Statements: All bags are cakes. All lamps are cakes.
Conclusions:
- Some lamps are bags.
- No lamp is bag.
Answer: Option
Explanation:
Since the middle term 'cakes' is not distributed even once in the premises, no definite conclusion follows. However, I and II involve only the extreme terms and form a complementary pair. So, either I or II follows.
Discussion:
57 comments Page 2 of 6.
Lucky Verma said:
7 years ago
Yes, agree D should be the correct answer.
AYUSH SINGH RATHOUR said:
7 years ago
I too agree, According to the Verner diagram, the answer D should be the correct one.
Imran said:
7 years ago
Since the middle term is distributed twice, so answer must be particular.
Pratik said:
7 years ago
@All.
Think of this question as a Venn-diagram -A big circle for cakes. Inside cakes, there are two circles - one for bags and one for lamps.
Now there are only two possibilities for how the circles inside are drawn, either the two smaller circles intersect(touch at 1 point or intersect at 2 points) or they don't touch at all.
If they intersect, some lamps are bags (and vice versa). If they don't touch, no lamp is bag (and vice versa). These are the only two possibilities, one of these must occur. Hence, they are complementary.
Think of this question as a Venn-diagram -A big circle for cakes. Inside cakes, there are two circles - one for bags and one for lamps.
Now there are only two possibilities for how the circles inside are drawn, either the two smaller circles intersect(touch at 1 point or intersect at 2 points) or they don't touch at all.
If they intersect, some lamps are bags (and vice versa). If they don't touch, no lamp is bag (and vice versa). These are the only two possibilities, one of these must occur. Hence, they are complementary.
(1)
Williams said:
8 years ago
The law of syllogism takes two conditional statements and forms a conclusion by combining the hypothesis of one statement with the conclusion of another. Here is the general form:
P U Q.
Q U R.
Therefore, P U R.
Therefore the answer to the above question is D.
P U Q.
Q U R.
Therefore, P U R.
Therefore the answer to the above question is D.
Chitransh Sinha said:
8 years ago
The answer is C as there are only two possibilities i.e. some lamps are bags or no lamp is a bag. Only one of them has to be correct. One can deduce this using Venn diagram. Option D could have been the correct answer given that the conclusions had one different statement than stated above.
Siddhant said:
9 years ago
Why we are not taking a possibility when the lamp circle is surrounded by bag circle and bag circle by cake circle since also fulfils the condition all lamps are cakes and all bags are cakes?
Hence the answer to the solution should be C.
Hence the answer to the solution should be C.
Akanksha said:
9 years ago
Can anyone tell me why option B is not correct?
Abhi said:
9 years ago
According to me, It is inconclusive because all lamps are bags.
Ardhe said:
9 years ago
Statements: All bags are cakes. All lamps are cakes.
Means Some lamps may be bags or may not be bags.
If "may be bag" then conclusion "II. No lamp is bag" will not be valid. Conclusion 1 will only valid.
If "may not be bags" then conclusion "I. Some lamps are bags" will not valid. Only conclusion 2 will valid.
So the answer is C] Either I or II follows.
Means Some lamps may be bags or may not be bags.
If "may be bag" then conclusion "II. No lamp is bag" will not be valid. Conclusion 1 will only valid.
If "may not be bags" then conclusion "I. Some lamps are bags" will not valid. Only conclusion 2 will valid.
So the answer is C] Either I or II follows.
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