Logical Reasoning - Logical Deduction - Discussion

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.

21. 

Statements: All poles are guns. Some boats are not poles.

Conclusions:

  1. All guns are boats.
  2. Some boats are not guns.

[A]. Only conclusion I follows
[B]. Only conclusion II follows
[C]. Either I or II follows
[D]. Neither I nor II follows
[E]. Both I and II follow

Answer: Option D

Explanation:

Clearly, the term 'guns' is distributed in both the conclusions without being distributed in any of the premises. So, neither conclusion follows.

Krishna said: (Mar 30, 2012)  
Since all poles are guns and some boats are not poles, means some boats are not guns.

Rupam said: (Aug 21, 2012)  
It's not necessary that if some boat's are not poles than it will not be gun. Conclusion can't be got.

Pranjal said: (Aug 23, 2012)  
As it clearly says. All poles are guns. Means poles = guns.

Some boats are not poles. Means -.

Some boats are not guns. So option D is wrong.

Chaitu said: (Aug 24, 2012)  
The Correct Answer is "Either I or II follows".

Think Once again.

Karan said: (May 22, 2013)  
Poles = Guns.
Some Boats are Not Poles.

Hence,

Some boats are Not guns. (Using equation 1).
Where is the fault then. Only conclusion II follows.

According to me.

Millie said: (Jun 15, 2013)  
I agree with supporters of Option B. The implication from statement II is that some boats are poles. Therefore some boats are guns.

Khal Drogo said: (Mar 17, 2014)  
1. Guns is the super set of poles.

2. Set{boats}! = set{poles} and neither boats can be the super set of poles, nor poles can be superset of boats.

From 1 & 2 its clear that boats cannot be the superset of guns, so conclusion I will not follow.

It is possible that some boats are not guns but it is also possible that all the boats are guns, as its not clear conclusion II will not follow.

Fitz said: (Jun 3, 2014)  
@KhalDrogo.

As it is already mentioned that some boats are not poles and all the poles are guns, so on creating a venn-diagram of it, the portion acquired by the poles in the guns cannot be fully occupied by the boats.

Tommy said: (Sep 18, 2014)  
Correct answer should be B! No doubt.

If "All guns are boats. " changes to "Some boats are guns" (they are not equal logically!) , then D is correct!

Malfoy said: (Apr 9, 2015)  
It is stated that "All poles are guns. Some boats are not poles".

It can be also deduced that, some boats are poles and every poles is a gun. This implies that some boats are guns, thus also some boats are not guns. So the second conclusion follows. So I'll go with B.

Kambiz said: (Apr 19, 2015)  
Syllogism, rule no 2:

No term can be distributed in the conclusion unless it is distributed in the premises.

Fawkes said: (Aug 25, 2015)  
Conclusion II follows.

Some boats are not guns. So the answer should be B.

Asta La Vista said: (Mar 13, 2016)  
Some boats are not poles but they can be guns. All poles are gun.

Teeksh said: (Jan 19, 2017)  
Yes, I agree with rest of the people only Option B is correct. As it mentioned clearly some boats are not poles and All poles are Guns. So this so sure that Some boats are not guns.

Jaspreet Singh said: (Apr 3, 2017)  
According to me, the correct answer is B.

Dipanka Hazarika said: (May 19, 2017)  
The correct answer is 'C'. Because When both the conclusions are wrong and both subjects and predicates of the two conclusions are same along with that which is followed by 'ALL' in first conclusion and 'SOME. NOT' in second conclusion then conclusion comes to either case.

Ridhdhi said: (Dec 19, 2017)  
Answer should be B.

Pratik said: (Jul 24, 2018)  
Here, poles=guns (for all).

Now, some boats are not poles hence some boats should not be guns too.

Ishan said: (Jul 24, 2018)  
The suggested answer D is CORRECT.

Let circles represent sets.

All poles are guns - Imagine two concentric (one inside another) circles. So, bigger one is set of guns and smaller one is poles. This clearly rules out implication I.

Some boats are not guns - Now imagine another circle for boats and try to place it such that it DOES NOT follows the condition II. Imagine a circle outside the poles circle but inside guns circle.

And yes, such a placement is possible! Therefore, neither implication follows.

Raj Shailendra said: (Feb 14, 2019)  
Let me clarify.

All poles are gun.

Some boats are not pole.

It means that boat has a larger area and it is possible that it is covering the complete gun area (consisting complete pole area).

By this, some area the boat is left out which is not a part of anything. This is satisfying every case.

So, the best answer is Both I and II follows.

Madhuri said: (May 12, 2019)  
It's a rule when all and some not comes with same subject and predicate then it becomes either or case.

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