Logical Reasoning - Logical Problems - Discussion

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

[A]. true
[B]. false
[C]. uncertain

Answer: Option A

Explanation:

All of the trees in the park are flowering trees, So all dogwoods in the park are flowering trees.

Asha said: (Jan 24, 2011)  
Why is it happens? I don't understand the solution yet.

Ravi said: (Apr 7, 2011)  
How to solve this problem?

Abhishek said: (May 31, 2011)  
How to solve this problem?

Tanmay said: (Jun 4, 2011)  
So easy dear. Its right answer. 1st two problem read carefully. 1st read 2nd line, you can get answer.

Sundar said: (Sep 13, 2011)  
All the trees in the park are flowering trees.

So, a flowering tree should satisfy two conditions.

1. It should be a Tree (Some of the trees in the park are dogwoods).
2. It should be in the Park (Some of the trees in the park are dogwoods).

Since, dogwoods satisfy the above conditions, "All dogwoods in the park are flowering trees" - True.

Note: If the dogwoods outside the park, it may or may-not be flowering trees.

Shradha said: (Oct 14, 2011)  
1. all the trees in park is flowering tree
so dogwoods is one kind of tree which is planted in the park
you can say like a classification of tree
so, any kind of tree planted in park is flowering tree

Victoria said: (Mar 20, 2012)  
If you use the venn diagram, the result is invalid. How come it is true?

Nivedita Devraj said: (Jun 21, 2012)  
Still its absurd cause of the statement - "Some of the trees in the park are dogwoods".

Kyla said: (Nov 21, 2012)  
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: (Mar 9, 2013)  
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: (Apr 12, 2013)  
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.

Sujay Bain said: (Jun 25, 2013)  
But it is not mentioned anywhere that "all dogwoods are trees". So, those dogwood which are not tree can may not be flowering trees.

Asif Amin said: (Jul 15, 2013)  
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.

Rohit said: (Aug 2, 2013)  
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.

Somak said: (Aug 31, 2013)  
Dogwood is not distributed in the premises. How come it is distributed in the conclusion?

Amrutha said: (Sep 7, 2013)  
Can anyone explain through Venn diagrams please?

Prudhvi said: (Sep 9, 2013)  
Answer is based on first sentence because it says that all the trees are flowering trees.

Neha said: (Feb 1, 2014)  
I agree with @Victoria as it can be possible that some dogwood are flowering trees and not all.

Pavi said: (Apr 25, 2014)  
What you mean dogwood tree?

Navatha said: (Oct 22, 2014)  
@Sundar.

Its very logical question which really sharps our mind and thinking levels will increase high. Thank you for clarifying the problems.

Rajesham said: (Mar 15, 2015)  
These are very nice questions which enhance our understanding and thinking levels. Thank you for providing this site.

Mounika said: (Jul 8, 2015)  
They did not mentioned that all trees in the park are dog wood trees.

Trishul said: (Jul 17, 2015)  
What about those dogwoods that are in the park but are not trees so can't be flowering trees? Why are you ignoring them? Why do they get no love?

Abhinay said: (Jul 23, 2015)  
Can anyone explain me by using tick and cross mark method?

Herman said: (Dec 17, 2015)  
Suppose some of the dogwoods are shrubs. Then the third statement would be false. But since we don't have this information, the correct answer is "uncertain".

Vinod said: (Jan 22, 2016)  
The correct answer is false. Because some of the trees in park are dogwood not all. So when we do it using venn diagram it will be wrong. So the correct answer is FALSE.

Mayur said: (Mar 18, 2016)  
Listen friend all you people told its very, simple. I agree with all but nobody is explained with tricks. How to solve such type of complex problem. If you have any ideas, tricks. Then please tell me.

Sneha said: (May 3, 2016)  
How can it be true? Still I didn't get it.

Bay West said: (Sep 14, 2016)  
Since most of the trees in the park are dogwood (flowering), there might be other trees which are flowering too, for me, the answer is "uncertain".

Rohit said: (Oct 3, 2016)  
How do we know that "all dogwoods are trees"?

Moha Somalia said: (Oct 4, 2016)  
It is said some followers are dogwood but it didn't say all, so I think its "False".

Himanshi said: (Dec 3, 2016)  
False.

Since first it must contain some in conclusion.

And ALL statement is not possible I in in in conclusion because in order to be all it should be distributed.

Urvi said: (Jan 1, 2017)  
I think the answer should be FALSE. It's very clearly mentioned "some" trees are dogwoods.

Vicky Yadav said: (Mar 30, 2017)  
Someone explain the method to solve this problem.

Rakesh Rankawat said: (Apr 28, 2018)  
Well, All dogwoods trees are actually flowering trees! So definitely, All Three sentences are true.

Prasanta said: (Sep 30, 2018)  
It is uncertain. Use Venn diagram to get the answer.

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