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If p is divided by q, then the maximum possible difference between the

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Intern
Joined: 18 Jul 2017
Posts: 45
If p is divided by q, then the maximum possible difference between the  [#permalink]

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20 May 2018, 17:05
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00:00

Difficulty:

35% (medium)

Question Stats:

69% (01:35) correct 31% (01:44) wrong based on 83 sessions

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If p is divided by q, then the maximum possible difference between the minimum possible and maximum possible remainder can be?

A. p-q
B. p-q
C. q-1
D. p-q-1
E. p+q-1
RC Moderator
Joined: 24 Aug 2016
Posts: 576
Concentration: Entrepreneurship, Operations
GMAT 1: 630 Q48 V28
GMAT 2: 540 Q49 V16
Re: If p is divided by q, then the maximum possible difference between the  [#permalink]

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20 May 2018, 17:17
1
wishalsp333 wrote:
If p is divided by q, then the maximum possible difference between the minimum possible and maximum possible remainder can be?

A. p-q
B. p-q
C.q-1
D. p-q-1
E. p+q-1

Lets assume , when p is divided by q, the reminder is R
Thus , $$p=qx+r$$
R is min when$$r=0$$ & R is max when $$r=q-1$$
thus $$Rmax-Rmin=q-1-0=q-1$$.............. Hence option C.
_________________

Please let me know if I am going in wrong direction.
Thanks in appreciation.

Intern
Joined: 24 Oct 2017
Posts: 46
Re: If p is divided by q, then the maximum possible difference between the  [#permalink]

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22 May 2018, 07:20
There are 2 cases
case1:p>q....max remainder= q-1..min=0...ans=q-1
case2:p<q....max r= min r=p...ans=0
so the max possible difference=q-1
Re: If p is divided by q, then the maximum possible difference between the &nbs [#permalink] 22 May 2018, 07:20
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