Logical Reasoning - Logical Problems - Discussion
Discussion Forum : Logical Problems - Type 1 (Q.No. 3)
Directions to Solve
Each problem consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain.
3.
All the trees in the park are flowering trees.
Some of the trees in the park are dogwoods.
All dogwoods in the park are flowering trees.
If the first two statements are true, the third statement is
Some of the trees in the park are dogwoods.
All dogwoods in the park are flowering trees.
If the first two statements are true, the third statement is
Answer: Option
Explanation:
All of the trees in the park are flowering trees, So all dogwoods in the park are flowering trees.
Discussion:
43 comments Page 4 of 5.
Kyla said:
1 decade ago
If you use the venn diagram, the result is invalid. Also, when you follow the three rules of syllogism you will see that the conclusion is invalid. If we look at the conclusion, the subject (Dogwoods) is not distributed in any of the premises which violates rule #3 of the rules of syllogism.
Moses xhao sondash said:
1 decade ago
The 3rd premise doesn't logically follow from the first two premises, in syllogism, if one of the premises is universal (with a quantifier All) and the other is particular (Some) the conclusion should be particular hence wrongly deducted.
Aurobindo said:
1 decade ago
If we use the venn diagram the result is invalid. And also according to rules of syllogism the conclusion is invalid because in syllogism, if one of the premises of a statement is particular the conclusion should be particular.
Asha said:
1 decade ago
Why is it happens? I don't understand the solution yet.
Asif Amin said:
1 decade ago
This question is totally based on 1st Sentence that.
All the trees in the park are flowering trees.
And the 2nd sentence is Dogwoods which also in the park I mean it is also counted in the All trees in the park I think you got my point.
All the trees in the park are flowering trees.
And the 2nd sentence is Dogwoods which also in the park I mean it is also counted in the All trees in the park I think you got my point.
Rohit said:
1 decade ago
2nd sentence is not used in generating a conclusion.
As per rules of syllogism, if one statement is particular, answer has to be particular only.
As per rules of syllogism, if one statement is particular, answer has to be particular only.
Somak said:
1 decade ago
Dogwood is not distributed in the premises. How come it is distributed in the conclusion?
Prudhvi said:
1 decade ago
Answer is based on first sentence because it says that all the trees are flowering trees.
Amrutha said:
1 decade ago
Can anyone explain through Venn diagrams please?
Neha said:
1 decade ago
I agree with @Victoria as it can be possible that some dogwood are flowering trees and not all.
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