MHB Find the only value of N which satisfies all of the following

[lmae]

With full working, find the only value of N which satisfies ALL of the following conditions.

N is a natural number
10<N less than or equal to 20
N is even
N/4 is an integer
Square root of N is an irrational number
N is a multiple of 5

Does anyone understand this question and could work it out for me please?

 

[Evgeny.Makarov]

With full working, find the only value of N which satisfies ALL of the following conditions.

N is a natural number
10<N less than or equal to 20
N is even
N/4 is an integer
Square root of N is an irrational number
N is a multiple of 5

Does anyone understand this question and could work it out for me please?

Hi, lmae!

There are not many natural numbers between 10 and 20. They are 11, 12, 13, 14, 15, 16, 17, 18, 19 and 20. For each of those numbers, verify the other conditions. For example, is 11 even? Is 12/4 an integer?

Also please read the forum http://mathhelpboards.com/rules/, especially rule #11. (Click on the "Expand" button on top.) Please describe what exactly help you need. Saying "I don't understand this question" is not informative. Saying "I don't know what irrational numbers are" is much better.

 

[Greg]

Hi lmae. The following was posted in the duplicate thread you posted in calculus (which I have since deleted):

If you need to ask the moderators to move a post, click on the black triangle with an exclamation mark on the left under the post and describe what needs to be done. I have done it for you in this instance.

Please try to avoid posting duplicates. If you have problems follow the above advice and we'll take care of it. Thanks guys. :)

 

[HallsofIvy]

With full working, find the only value of N which satisfies ALL of the following conditions.

Do you understand what the words used here mean?

N is a natural number

so 1, 2, 3, 4, 5, 6, ...

10<N less than or equal to 20

So, 11, 12, 13, 14, 15, 16, 17, 18, 19, or 20

N is even

So 12, 14, 16, 18, or 20

N/4 is an integer

12/4= 3, 14/4= 3 and 1/2, 16/4= 4, 18/4= 4 and 1/2, 20/4= 5
so 12, 16, or 20

Square root of N is an irrational number

square root of 12= 2 times square root of 3 so irrational. square root of 16= 4. square root of 20= 2 times square root of 5 so irrational.
So 12 or 20.

N is a multiple of 5

12= 2*2*3, 20= 2*2*5.

Does anyone understand this question and could work it out for me please?

 

[lmae]

Hi.

I understood each of the different parts but didn't understand what the question was asking of me as a whole, hence the way I worded the question. And I apologise for double posting my question, I did edit it to say I posted in wrong thread and wasn't sure how to delete. Thanks for the help.

 

[Evgeny.Makarov]

I understood each of the different parts but didn't understand what the question was asking of me as a whole, hence the way I worded the question.

I think it is pretty clear: "Find the only value of N which satisfies ALL of the following conditions". I hope you understand the question now.