Logical Reasoning - Logical Deduction - Discussion

Discussion Forum : Logical Deduction - Section 1 (Q.No. 5)
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.


5.

Statements: Some doctors are fools. Some fools are rich.

Conclusions:

  1. Some doctors are rich
  2. Some rich are doctors.
Only conclusion I follows
Only conclusion II follows
Either I or II follows
Neither I nor II follows
Both I and II follow
Answer: Option
Explanation:
Since both the premises are particular, no definite conclusion follows.
Discussion:
29 comments Page 1 of 3.

Prashanth said:   1 decade ago
What to do if we are not given which is conclusion among given three sentence. ? how to conclude that particular sentence as conclusion. ?.

Piyanka roy said:   1 decade ago
What if the conclusion is particular neg and the both options given is also perticular neg ? for example :

Statement:
No crystal is stone
Some stones are diamonds

Conclusion:
1) Some diamonds are not crystal
2) All crystals are not diamonds

Krish said:   1 decade ago
Going by the Venn diagram, I think answer to this question should be (E) - Both I and II follow.

Shubhangi said:   1 decade ago
The answer should be (b) that is only answer follows because going by to venn diagram.

Let doctor be the super set then all the fools come in the set of doctor but some doctors are left (because there is said some doctors are fool) and after that some fools are rich so the set of rich will come inside the set of doctor and fool (leaving some fools as not a rich person thats according to conclusion 2) so its prove that conclusion 1 is wrong and other is right.

Arun said:   1 decade ago
@Shubangi.

You are considering one of the possible venn diagrams. However, there will be three possible venn diagrams for the problem.

And according to them, the answer will be (C).

Presha said:   1 decade ago
I did not understand the whole concept. Can someone please explain it to me?

Sanchita said:   1 decade ago
If both foundational premises are particular affirmative, we cannot arrive to any conclusions according to the rules.

Piyush Baghla said:   1 decade ago
By going through rules>complementary pair>case-7

Some doctors are rich is complementary to no doctor is rich--it means that the statement"some doctors are rich" may or may not follow.

That is why neither of them is correct.

Lunminlal said:   1 decade ago
I can't understand.

Wil said:   1 decade ago
At first, I thought it might be C. But we cannot actually determine if either one is true and since we cannot determine that, we must choose that they are both wrong.


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