奇数番号は記憶型かどうか調べるもので、丸が4つ以上ある人は「ぼんやり」、6つ以上あったら「かなりぼんやり」である


The following sentence is taken from Line 11-13 in
[this](https://www.docdroid.net/oraqSdS/img-20170830-0001-new.pdf):

> 奇数番号は記憶型かどうか調べるもので、丸が4つ以上ある人は「ぼんやり」、6つ以上あったら「かなりぼんやり」である。

First, I’m a bit puzzled on this もので. Is it particle も + ので, or もの + (の中)で?
Second, I don’t know whatsoever with this まる and the numbers. I’ve no idea
what they are talking about. Third, I can’t integrate 「ぼんやり」 and 「かなりぼんやり」 ,
which is also because I’m lacking context (See First and Second).

However, here’s my attempt at full translation.

> Concerning a series of odd digits, out of the search results about which
> type of memory, the people where the circle is 4 and upwards (it is)
> ‘absentminded’, and when it is 6 ‘fairly absentminded’.




That "もので" is a a construction that indicates a reason/cause. You could
roughly translate it as "because of - for that reason".

The construction is Verb (dict) + もので, and you can think of it as a
conjunctive particle that indicates a reason or a cause. You can find more
explanations and examples [at this
link](http://japanesetest4you.com/flashcard/learn-
jlpt-n1-grammar-%E3%82%82%E3%81%AE%E3%81%A7-mono-de/).

This being said, you can translate your sentence as:

> The odd numbers are what determines whether (the person) is a "memory type"
> or not, and (because of that) people with 4 or more circles are "absent-
> minded" while people with more than 6 are "quite absent-minded".

Now some things to be noticed:

  1. I'm not sure what a good translation of 記憶型 could be here. Looking at your link it seems that it is one between two types of personalities (記憶、注意) described in some research. Here I decided just to leave it as "memory type". 
  2. Without more context, it is indeed difficult to judge what those 丸 refer to. However, it seems logical that since we are talking of some personality test and "odd numbers", this probably refers to circling or anyway selecting certain answers. How many will determine the type of personality, absent-minded or quite absent-minded. Notice also that 丸 is what Japanese people commonly use to select "correct" answers in test or in general making selections depending on the context (but I suppose you know about the まる/ばつ convention already).
  3. The above is not a literal translation of course but I think it's not what you are asking here. It seems to me the main thing was the もので and the general idea of what's going on.

**Personal interpretation**

Since I'm not sure if what follows is actually true, do not consider it as
part of the answer but rather as an intellectual speculation. The answer ended
two lines above.

Since you try to break down that もので，I wonder if that もの comes simply from 物
and で isn't just です that, since it's connecting two sentences, simply becomes
で. I mean, I wonder if this construction isn't somehow equivalent or anyway
related to something like: 何々。。。Vd物であり、何々。。。 which is literally saying that a
certain thing is "something that does V", and I guess you would expect the
next sentence to explain some consequence of that. Then over time this became
the standard construction もので discussed above.




That "もので" is a a construction that indicates a reason/cause. You could
roughly translate it as "because of - for that reason".

The construction is Verb (dict) + もので, and you can think of it as a
conjunctive particle that indicates a reason or a cause. You can find more
explanations and examples [at this
link](http://japanesetest4you.com/flashcard/learn-
jlpt-n1-grammar-%E3%82%82%E3%81%AE%E3%81%A7-mono-de/).

This being said, you can translate your sentence as:

> The odd numbers are what determines whether (the person) is a "memory type"
> or not, and (because of that) people with 4 or more circles are "absent-
> minded" while people with more than 6 are "quite absent-minded".

Now some things to be noticed:

  1. I'm not sure what a good translation of 記憶型 could be here. Looking at your link it seems that it is one between two types of personalities (記憶、注意) described in some research. Here I decided just to leave it as "memory type". 
  2. Without more context, it is indeed difficult to judge what those 丸 refer to. However, it seems logical that since we are talking of some personality test and "odd numbers", this probably refers to circling or anyway selecting certain answers. How many will determine the type of personality, absent-minded or quite absent-minded. Notice also that 丸 is what Japanese people commonly use to select "correct" answers in test or in general making selections depending on the context (but I suppose you know about the まる/ばつ convention already).
  3. The above is not a literal translation of course but I think it's not what you are asking here. It seems to me the main thing was the もので and the general idea of what's going on.

**Personal interpretation**

Since I'm not sure if what follows is actually true, do not consider it as
part of the answer but rather as an intellectual speculation. The answer ended
two lines above.

Since you try to break down that もので，I wonder if that もの comes simply from 物
and で isn't just です that, since it's connecting two sentences, simply becomes
で. I mean, I wonder if this construction isn't somehow equivalent or anyway
related to something like: 何々。。。Vd物であり、何々。。。 which is literally saying that a
certain thing is "something that does V", and I guess you would expect the
next sentence to explain some consequence of that. Then over time this became
the standard construction もので discussed above.

