Roc19: Find N s.t. 1<=N<20 whole numb, N even, N/4 integer, N not div. by 3, sqrt(N)

[Roc19]

Roc19: Find N s.t. 1<=N<20 whole numb, N even, N/4 integer, N not div. by 3, sqrt(N)

Find the only value of N which satisfies all of the following conditions;
N is a whole number
1(less or = to symbol)N <20
N is even
N/4 is an integer
N is not divisible by 3
sq root symbol with N inside

 

[Deleted member 4993]

Find the only value of N which satisfies all of the following conditions;
N is a whole number
1(less or = to symbol)N <20
N is even
N/4 is an integer
N is not divisible by 3
sq root symbol with N inside

What are your thoughts?

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[stapel]

Find the only value of N which satisfies all of the following conditions;
N is a whole number
1(less or = to symbol)N <20

List out the possible numbers from the list suggested above.

N is even

In your list, cross out all the odds.

N/4 is an integer

If N/4 is an integer, then N must be a multiple of... what? Cross out everything left in the list which does not fulfill this requirement.

N is not divisible by 3

For N to be divisible by 3, then N must be a multiple of... what? Cross out everything left in the list which is this kind of multiple.

sq root symbol with N inside

This is not a complete statement. Please reply with the rest of the exercise.

When you reply, please include a clear listing of your efforts so far, starting with what you did in response to the step-by-step instructions above. Thank you!

 

[ksdhart2]

I strongly suspect that the "sq root symbol with N inside" is meant to imply that N must be a perfect square (i.e. the square root of N is also an integer). If that's the case, after following the steps suggested by Stapel, you'll have only one number left in the list that meets this criteria. Which number is it? Why?

 

[HallsofIvy]

I strongly suspect that the "sq root symbol with N inside" is meant to imply that N must be a perfect square (i.e. the square root of N is also an integer). If that's the case, after following the steps suggested by Stapel, you'll have only one number left in the list that meets this criteria. Which number is it? Why?

I get two numbers that satisfy all conditions.

 

[Deleted member 4993]

I get two numbers that satisfy all conditions.

Which two numbers did you get?

 

[ksdhart2]

I get two numbers that satisfy all conditions.

Oh, shoot! You're right. There are two possible solutions, given my interpretation of the whole "square root" bit. Seems I'm on a bit of a losing streak lately. I'll definitely try to be careful and thorough in the future. Sorry. :???:

 

[HallsofIvy]

4 and 16.
"N is a whole number"
Yes, they are both whole numbers

"1(less or = to symbol)N <20"
They both lie between 0 and 20

"N is even"
They are both even

"N/4 is an integer"
4/4= 1 and 16/4= 4
(with the condition that N be divisible by 4, the condition that it be even is unnecessary)

"N is not divisible by 3"
Neither 4 nor 16 is divisible by 3

"sq root symbol with N inside"
Interpreting this to mean that the square root of N is an integer, square root of 4 is 2 and square root of 16 is 4.

 

[Deleted member 4993]

Oh, shoot! You're right. There are two possible solutions, given my interpretation of the whole "square root" bit. Seems I'm on a bit of a losing streak lately. I'll definitely try to be careful and thorough in the future. Sorry. :???:

Don't loose "hart" about that - I had missed the 4 also! But Denis cannot send me to the corner - because I am already in the corner - he that is down fear no fall....