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 D
Explanation:
All of the trees in the park are flowering trees, So all dogwoods in the park are flowering trees.
Why is it happens? I don't understand the solution yet.
Ravi said:
(Thu, Apr 7, 2011 08:26:54 PM)
How to solve this problem?
Abhishek said:
(Tue, May 31, 2011 09:22:15 AM)
How to solve this problem?
Tanmay said:
(Sat, Jun 4, 2011 07:52:35 AM)
So easy dear. Its right answer. 1st two problem read carefully. 1st read 2nd line, you can get answer.
Sundar said:
(Tue, Sep 13, 2011 11:51:17 AM)
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:
(Fri, Oct 14, 2011 12:23:47 PM)
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:
(Tue, Mar 20, 2012 02:32:05 PM)
If you use the venn diagram, the result is invalid. How come it is true?
Nivedita Devraj said:
(Thu, Jun 21, 2012 09:28:55 PM)
Still its absurd cause of the statement - "Some of the trees in the park are dogwoods".
Kyla said:
(Wed, Nov 21, 2012 02:18:41 PM)
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:
(Sat, Mar 9, 2013 11:41:17 PM)
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:
(Fri, Apr 12, 2013 10:51:02 PM)
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.
