Target Test Prep's 2024 GMAT Focus Edition prep is discounted for the BTG community!

Redeem
Target Test Prep
5-Day Free Trial
5-day free, full-access trial TTP

Available with Beat the GMAT members only code

MORE DETAILS
Target Test Prep
Magoosh
Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

MORE DETAILS
Magoosh

If 75 and 48 are divided by an integer d

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Junior | Next Rank: 30 Posts
Posts: 29
Joined: Thu Sep 25, 2008 5:11 pm

If 75 and 48 are divided by an integer d

by netcaesar » Mon Sep 07, 2009 1:47 pm
If 75 and 48 are divided by an integer d they leave a remainder of 15 and 8 respectively. d could be between which of the following values?
a) 10 and 15
b) 16 and 22
c) 24 and 28
d) 28 and 32
e) 34 and 41

OA is 20, that is B
Top
Master | Next Rank: 500 Posts
Posts: 175
Joined: Mon Feb 09, 2009 3:57 pm
Thanked: 4 times

by tom4lax » Mon Sep 07, 2009 1:56 pm
Is there any easy way to calculate what d is?
Top
Senior | Next Rank: 100 Posts
Posts: 45
Joined: Wed Jun 11, 2008 4:25 pm
Thanked: 4 times
GMAT Score:730

by praky_rules » Mon Sep 07, 2009 4:24 pm
lets say 75=md+15 and 48=nd+8
From the above two eqn d>15.

Now md=60=3x2x5x2
nd=40=2x2x5x2

m cannot be 1 as d will be 60 and n will be a fraction. common part between nd and md is d and d can only be(2x5x2) as this combo is greater than 15. d=20
Top
Master | Next Rank: 500 Posts
Posts: 175
Joined: Mon Feb 09, 2009 3:57 pm
Thanked: 4 times

by tom4lax » Mon Sep 07, 2009 5:23 pm
Awesome, thanks for the explanation.
Top
Master | Next Rank: 500 Posts
Posts: 128
Joined: Thu Jul 30, 2009 1:46 pm
Thanked: 1 times

by fruti_yum » Tue Sep 08, 2009 6:15 am
praky_rules wrote:lets say 75=md+15 and 48=nd+8
From the above two eqn d>15.

Now md=60=3x2x5x2
nd=40=2x2x5x2

m cannot be 1 as d will be 60 and n will be a fraction. common part between nd and md is d and d can only be(2x5x2) as this combo is greater than 15. d=20
praky from these two equations how to do you get that d>15?
Top
Senior | Next Rank: 100 Posts
Posts: 77
Joined: Sun Jun 21, 2009 10:25 am
Location: Germany
Thanked: 7 times

by Nermal » Tue Sep 08, 2009 7:32 am
They make it clear in one of the latest GMAT articles "All about Remainders", I found it very helpful:

https://www.beatthegmat.com/a/2009/09/06 ... remainders

To be honest that article enabled me to actually get an answer to this question.
Top
Post new topic Post Reply
• Page 1 of 1