Different answer for a "closed to further answers" questionWhich one is the odd one out:  16  36  64  27 81? This question is posted, with the obvious answer of 27 being the number that is...

Different answer for a "closed to further answers" question

Which one is the odd one out:  16  36  64  27 81?

This question is posted, with the obvious answer of 27 being the number that is different, because it is not a square. The question was then closed to further answers, but I have a different one. 36 is the "odd one out" because it does not factor out to only one number. 16=2x2x2x2; 64=2x2x2x2x2x2; 27=3x3x3; 81=3x3x3x3; but 36 is 2x2x3x3.

I like my answer better--what do you think?   :)

Asked on by lynn30k

9 Answers | Add Yours

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

There is the simplest solution here that 27 is odd and all the others are even. How about 64 being odd as the digits of all of the numbers except 64 add to give a single digit number.

If this were put in as a puzzle and students told to come up with their own solutions and proofs, we would run out of space.

amy-lepore's profile pic

amy-lepore | High School Teacher | (Level 1) Educator Emeritus

Posted on

Well, I didn't mean multiple answers as much as I meant multiple ways to get the answer.

lynn30k's profile pic

lynn30k | High School Teacher | (Level 1) Educator

Posted on

Usually I think of math as a subject with defined, discreet answers--it is what makes it easier for the kids I teach who are literal. There's an answer, and they can get to it, unlike those pesky interpretive questions like in literature! But this one kind of jumped out at me as soon as I looked at it, and it was odd because it had already been closed. Hastily, I guess..

amy-lepore's profile pic

amy-lepore | High School Teacher | (Level 1) Educator Emeritus

Posted on

I am not a math whiz, but it makes sense to me!  There are always multiple answers available...especially where math is concerned.

vedhajothi's profile pic

vedhajothi | Student, Undergraduate | eNotes Newbie

Posted on

27 is the odd one. becoz...

16=>4*4, a perfect square number

similarly 36,64 and 81 are also perfect squares.. but 27 is not.. i think this could be the answer

epollock's profile pic

epollock | (Level 3) Valedictorian

Posted on

I share the feelings of all. I may not be very good in answering but have a feeling that  there may be some (particularly students) who may need a different solution which may help them understand better and benifit better.

Tackling a problem need not be the same. There may be both aternative procedures and solutions. But yet there can be differences and agreements.

I agree whole heartily with Poster #7. I see soo many problems with converting Celsius to Fahrenheit or vice versa, and many people respond with a formula. I always respond without a formula and show them how to remember that in one easy line.

neela's profile pic

neela | High School Teacher | (Level 3) Valedictorian

Posted on

I share the feelings of all. I may not be very good in answering but have a feeling that  there may be some (particularly students) who may need a different solution which may help them understand better and benifit better.

Tackling a problem need not be the same. There may be both aternative procedures and solutions. But yet there can be differences and agreements.

epollock's profile pic

epollock | (Level 3) Valedictorian

Posted on

poster #5 is correct that it is the question that is faulty. The question leaves open the possibility for more than one answer.

I don't think that is necessarily a problem with closing the question after one answer. Although I do find that same problem with history questions where someone will write something that is not supported by the evidence of historical documents. The evidence sometimes proves the opposite.

krishna-agrawala's profile pic

krishna-agrawala | College Teacher | (Level 3) Valedictorian

Posted on

I have also come across cases when questions have been "closed for further answers" answer when the answers posted are incomplete or even incorrect. I do not know if Enotes has some easy solutions for a problem like this.

However in this case the question itself appears to be faulty. Question of this type are generally presents as a ordered series, where the value of a number also depends on the position it occupies in the series. In the series presented in Post #1 I am not able to detect any such pattern.

I am sure if consider these numbers just as a group, without sequence, many other criteria can be found for spotting the odd on out. For example if we add the digits of the numbers we get the following results:

1 = 6 = 7

3 + 6 = 9

6 + 4 = 10

2 + 7 = 9

8 + 1 = 9

Here only 64 gives a sum of digits that is even, all others give a sum of digits that is odd. Therefor, 64 is the odd one out.

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