Ask your own question, for FREE!
Mathematics 19 Online
OpenStudy (anonymous):

I have a question #11

OpenStudy (anonymous):

These numbers are in BANKY GROUP. 16325,34721,12347,52163,90341,50341 These numbers are in NON-BANKY GROUP. 2564,12345,854,12635, 34325,45026 Which of these numbers is in BANKY GROUP a.75401 b.13562 c.72341 d.83051

OpenStudy (anonymous):

help me i've no idea how to do it

OpenStudy (anonymous):

what the monkey is "banky group"? or is that irrelevant?

OpenStudy (anonymous):

its just a group name. could be anything LOL

OpenStudy (anonymous):

ok just looking at "nonbanky group" i am going to make a guess looks like all of these have remainders of 8 when divided by 9 does that help?

OpenStudy (mr.math):

That's the name of his bank.

OpenStudy (anonymous):

oops no that was wrong, sorry

OpenStudy (anonymous):

dang, i thought i had it. of the non-banky group all but 12345 give a remainder of 8, but this one gives 6. sorry.

OpenStudy (anonymous):

wow and of "banky group" all give a remainder of 8! every one. can't just be a coincidence is it? do you have a clue? what kind of class is this for?

OpenStudy (anonymous):

what about 50341?

OpenStudy (anonymous):

ok i give up. clearly i am on the wrong track, but it is kind of odd that all (except those two, 50341 and 12345) have remainders of 8 hmmm

OpenStudy (anonymous):

i agree it's odd

OpenStudy (anonymous):

still would like a clue as to what kind of class this is, and maybe what question 10 was. any hint would help

OpenStudy (mr.math):

I would say c.

OpenStudy (anonymous):

and you wish to leave us in suspense?

OpenStudy (anonymous):

it's correct! so plz explain

OpenStudy (anonymous):

(also remainder 8, btw)

OpenStudy (mr.math):

I don't think my justification is complete, but c. is the closest I got.

OpenStudy (mr.math):

All numbers in the banky group are of the form \(a_1a_2a_3a_4a_5\), with \(a_1\) odd and \(a_2\) even. Add to that 4 out of the six numbers of the group are primes, while none of the numbers in the other group is prime. Only 72341 is in that given form and prime.

OpenStudy (anonymous):

4 out of 6 are prime? i mean i believe you, but that seems like an odd reason to pick c because it is prime

OpenStudy (mr.math):

yeah, that's why I said it's not complete :D

OpenStudy (anonymous):

but what is wrong with just the "even odd" stuff? looks good to me

OpenStudy (mr.math):

Ok, I got. Ignore that. But keep the fact that none of the numbers on the other group is prime.

OpenStudy (mr.math):

So, we can say that 72341 is not in group 2. It's the only number in that form, so it's the only choice.

OpenStudy (anonymous):

c is the only one that has that "even-odd" pattern so maybe that is the complete solution

OpenStudy (mr.math):

But there are number on the other group that has that same form, I think being prime has to be taken under consideration.

OpenStudy (anonymous):

oh yeah you are right.

OpenStudy (mr.math):

:D

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!