If Q is a positive integer less than 17

[Milanproda1]

If q is a positive integer less than 17 and r is the remainder when 17 is divided by q, what is the value of r?

1- Q>10

2- Q= 2^k, where k is a positive integer











OA is C.


Statement 2- Q can be:

k 2^k Q 17/Q R<--Target
1 2^1 2 17/2 1
2 2^2 4 17/4 1
3 2^3 8 17/8 1
4 2^4 16 17/16 1


So why do we need Statement 1?

[RonPurewal]

If q is a positive integer less than 17 and r is the remainder when 17 is divided by q, what is the value of r?

1- Q>10

2- Q= 2^k, where k is a positive integer











OA is C.


Statement 2- Q can be:

k 2^k Q 17/Q R<--Target
1 2^1 2 17/2 1
2 2^2 4 17/4 1
3 2^3 8 17/8 1
4 2^4 16 17/16 1


So why do we need Statement 1?

you are right; the answer should be (b), not (c).

[aimhier]

Hi Ron,

in statement 2, why can't "Q= 2^k' go higher than 17, say when K=5, Q=32, so when 17/32, we get 0 and remainder of 17, making the statement 2 alone not sufficient, thus making the C correct answer.

[rihanna.hayat]

Hi Ron,

in statement 2, why can't "Q= 2^k' go higher than 17, say when K=5, Q=32, so when 17/32, we get 0 and remainder of 17, making the statement 2 alone not sufficient, thus making the C correct answer.

Hi,

The answer will be B.
'Q=2^k' cannot be higher than 17 because it is already mentioned in the question "If Q is a positive integer less than 17". So the maximum value of Q will be 16.
And since remainder in all cases (Q = 2, 4, 8, 16) is 1, hence the answer is B.
Hope that helps.

[jyothi h]

If q is a positive integer less than 17 and r is the remainder when 17 is divided by q, what is the value of r?

1- Q>10

2- Q= 2^k, where k is a positive integer











OA is C.


Statement 2- Q can be:

k 2^k Q 17/Q R<--Target
1 2^1 2 17/2 1
2 2^2 4 17/4 1
3 2^3 8 17/8 1
4 2^4 16 17/16 1


So why do we need Statement 1?

you are right; the answer should be (b), not (c).

What about the case when k=0 , the remander 17/2^0 is 0 right ?
I thought we need statement A to rule out k=0 where q becomes 1.
kindly, correct me if am missing something.

Thanks,
Jyothi

[rihanna.hayat]

HI Jyothi,

K cannot be zero, as it is mentioned in condition 2 " k is positive integer".

so minimum value of k can be 1.

Also in GMAT, as far as i know, Zero is always considered as an even integer and neither +ve or -ve.
Correct me guys if I am wrong.

Thanks

[RonPurewal]

yeah. 0 is not a positive integer.

[jyothi h]

HI Jyothi,

K cannot be zero, as it is mentioned in condition 2 " k is positive integer".

so minimum value of k can be 1.

Also in GMAT, as far as i know, Zero is always considered as an even integer and neither +ve or -ve.
Correct me guys if I am wrong.

Thanks

Oh I get it. I do not know why I had this in my head that zero is positive and that remember reading it somewhere. Now that I read your post , it might have said "even integer" and when I was working out the problem , I confused even to positive.Such a silly mistake.
Thank you for clarifying.

-Jyothi

[josesav7]

I see why B would be the right answer, but was the OA marked as C? If so, then won't B be considered wrong according to them?

[jlucero]

I see why B would be the right answer, but was the OA marked as C? If so, then won't B be considered wrong according to them?

Either the original post was mistyped or it's not from GMAT Prep. The answer here is definitely (B).

Google search shows: http://www.beatthegmat.com/gmat-prep-test-2-t1867.html