Logical Reasoning - Logical Deduction - Discussion
Discussion Forum : Logical Deduction - Section 1 (Q.No. 13)
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.
13.
Statements: No gentleman is poor. All gentlemen are rich.
Conclusions:
- No poor man is rich.
- No rich man is poor.
Answer: Option
Explanation:
The first premise is an E-type proposition, So, the middle term 'gentleman' forming the subject is distributed. The second premise is an A-type proposition. So, the middle term 'gentlemen' forming the subject is distributed. Since the middle term is distributed twice, the conclusion cannot be universal. Since one premise is negative, the conclusion must be negative. Thus, it follows that 'Some rich men are not poor'. Thus, neither I nor II follows.
Discussion:
22 comments Page 2 of 3.
Sejal said:
8 years ago
Both are true.
As gentle mean the middle term is distributed in a second case. But the gentleman is not distributed in the first case. As in E type, predicate is distributed and not the subject.
No poor man is rich holds. As the middle term is not there and also as in premises one E type of statement is there so in conclusion also E type of statement should come.
No rich man is poor also holds as it is the converse of 1st.
As gentle mean the middle term is distributed in a second case. But the gentleman is not distributed in the first case. As in E type, predicate is distributed and not the subject.
No poor man is rich holds. As the middle term is not there and also as in premises one E type of statement is there so in conclusion also E type of statement should come.
No rich man is poor also holds as it is the converse of 1st.
Harshita Naik said:
9 years ago
No gentleman is poor-->no poor is gentleman.
All gentleman are rich--> gentleman=rich.
==>no poor is rich.
Is conclusion 1 is true?
All gentleman are rich--> gentleman=rich.
==>no poor is rich.
Is conclusion 1 is true?
Divya goyal said:
10 years ago
I am confused. Can somebody help me to solve this type of questions?
Sup said:
10 years ago
Please explain with a venn diagram as well. This particular one is quite confusing.
Mee said:
10 years ago
I don't understand. How can gentleman be distributed in both cases?
Prashant said:
1 decade ago
Correct conclusion should be "Some rich are not Poor" or "Some poor are not rich".
Shubhasri said:
1 decade ago
Can some one explain with venn diagram?
Anurag said:
1 decade ago
@Brandon.
In this type take a example:
All kids are not present in class. Don't go by word::"all".
All kids are not present==>some are not present this I can say.
Definitely (that's why I am saying all are not present)/about rest I can't tell.
All and not combination is always====>some are not.
All mangoes are not good===>some are not good. About rest mangoes I can't tell.
In this type take a example:
All kids are not present in class. Don't go by word::"all".
All kids are not present==>some are not present this I can say.
Definitely (that's why I am saying all are not present)/about rest I can't tell.
All and not combination is always====>some are not.
All mangoes are not good===>some are not good. About rest mangoes I can't tell.
(1)
Anirban Das said:
1 decade ago
Answer should be [E] because both follows. There has to be a conclusion as the first premise is Universal Negative starting with "No" and the second premise is Universal Affirmative starting with "All".
Hence, UA + UN = UN or PN (No, Some not). [PN = Particular Negative]. Please advise.
Hence, UA + UN = UN or PN (No, Some not). [PN = Particular Negative]. Please advise.
Brandon said:
1 decade ago
Shouldn't it be "All rich gentlemen are not poor"? Why is it "some"?
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