Author 
Message 
TAGS:

Hide Tags

Senior Manager
Joined: 23 Mar 2011
Posts: 441
Location: India
GPA: 2.5
WE: Operations (Hospitality and Tourism)

If a,b are positive integers and a/b = 87.75 which of the following [#permalink]
Show Tags
Updated on: 28 Jun 2017, 09:28
1
This post received KUDOS
4
This post was BOOKMARKED
Question Stats:
70% (00:52) correct 30% (00:52) wrong based on 82 sessions
HideShow timer Statistics
If a,b are positive integers and a/b = 87.75 which of the following could be the value of b? A. 25 B. 26 C. 27 D. 28 E. 30
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
"When the going gets tough, the tough gets going!"
Bring ON SOME KUDOS MATES+++  Quant Notes consolidated: http://gmatclub.com/forum/consoloditedquantguidesofforummosthelpfulinpreps151067.html#p1217652 My GMAT journey begins: http://gmatclub.com/forum/mygmatjourneybegins122251.html All about Richard Ivey: http://gmatclub.com/forum/allaboutrichardivey148594.html#p1190518
Originally posted by sdas on 05 Dec 2011, 08:07.
Last edited by Bunuel on 28 Jun 2017, 09:28, edited 1 time in total.
Renamed the topic, edited the question and added the OA.



Intern
Joined: 15 Sep 2009
Posts: 3

Re: If a,b are positive integers and a/b = 87.75 which of the following [#permalink]
Show Tags
05 Dec 2011, 08:37
1
This post received KUDOS
The answer is D. 28 I solve this way, don´t know if its the best one: 87.75 has a remainder of 0.75 or 3/4. b MUST be a multiple of the denominator of the remainder, in this case it must be a multiple of 4. The only number that is a multiple of 4 in the possible answers is the number 28. So D. 28 is the answer sdas wrote: Hi, please help me solve this.
If a,b are positive integers and a/b=87.75 which of the following could be the value of b?
1. 25 2. 26 3. 27 4. 28 5. 30
sorry posted in wrong forum



Manager
Joined: 16 Sep 2010
Posts: 207
Location: United States
Concentration: Finance, Real Estate

Re: If a,b are positive integers and a/b=87.75 which of the following [#permalink]
Show Tags
05 Dec 2011, 09:29
Here is the quick and dirty way to solve this.
The prompt tells us that a/b = 87.75 so we know that B must be a number that could result in .75. This immediately rules out B (26), C (27), and E (30). Since they are nonterminating decimals. That leaves us with A and D. Quick way to solve is just choose one and multiple by 87.75 if the answer is an integer than its correct.
Taking A we find that it is not an integer so it must be D. Alternatively taking D we find that 28 x 87.75 = 2457 since that is an integer it must be D.
Hope that helps.



Manager
Joined: 09 Nov 2011
Posts: 120

Re: If a,b are positive integers and a/b=87.75 which of the following [#permalink]
Show Tags
05 Dec 2011, 09:53
1
This post received KUDOS
Given a/b = 87.75. this is 87 and 3/4 = 351/4 Since a and b are integers we know that whatever is the value of b, it must be divisible by 4 completely(to make a an integer) from the options only D=28 is a multiple of 4 which is your answer. IMO Option D
_________________
Time to play the game...



Senior Manager
Joined: 13 May 2011
Posts: 276
WE 1: IT 1 Yr
WE 2: Supply Chain 5 Yrs

Re: If a,b are positive integers and a/b=87.75 which of the following [#permalink]
Show Tags
05 Dec 2011, 10:15
for the Value of b, a has to a positive integer. a= b*87.75 =b*8775/100 Plugging in b=28 gives an integer value for a. D



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8024
Location: Pune, India

Re: If a,b are positive integers and a/b=87.75 which of the following [#permalink]
Show Tags
05 Dec 2011, 23:31
1
This post received KUDOS
Expert's post
1
This post was BOOKMARKED
sdas wrote: Hi, please help me solve this.
If a,b are positive integers and a/b=87.75 which of the following could be the value of b?
1. 25 2. 26 3. 27 4. 28 5. 30 Here is a post I wrote some time back on such questions: http://www.veritasprep.com/blog/2011/05 ... emainders/Hope it will clear your doubts and you will be able to solve this question on your own.
_________________
Karishma Veritas Prep  GMAT Instructor My Blog
Get started with Veritas Prep GMAT On Demand for $199
Veritas Prep Reviews



Manager
Joined: 24 Oct 2011
Posts: 88
Location: India
Concentration: General Management, International Business
GMAT Date: 11292011
GPA: 3.5
WE: Web Development (Computer Software)

Re: If a,b are positive integers and a/b = 87.75 which of the following [#permalink]
Show Tags
06 Dec 2011, 02:55
Answer is 28/ Bcoz only 24 is the multiple of 4 and only 4 can give u 0.75



Founder
Joined: 04 Dec 2002
Posts: 16829
Location: United States (WA)

Re: If a,b are positive integers and a/b = 87.75 which of the following [#permalink]
Show Tags
06 Dec 2011, 03:17
This should really be in the PS forum (moved). Whats the source of this? Thanks.
_________________
Founder of GMAT Club
Just starting out with GMAT? Start here... or use our Daily Study Plan
Coauthor of the GMAT Club tests



Senior Manager
Joined: 23 Mar 2011
Posts: 441
Location: India
GPA: 2.5
WE: Operations (Hospitality and Tourism)

Re: If a,b are positive integers and a/b = 87.75 which of the following [#permalink]
Show Tags
06 Dec 2011, 09:47
BB its moved already. MGMAT
_________________
"When the going gets tough, the tough gets going!"
Bring ON SOME KUDOS MATES+++  Quant Notes consolidated: http://gmatclub.com/forum/consoloditedquantguidesofforummosthelpfulinpreps151067.html#p1217652 My GMAT journey begins: http://gmatclub.com/forum/mygmatjourneybegins122251.html All about Richard Ivey: http://gmatclub.com/forum/allaboutrichardivey148594.html#p1190518



Manager
Joined: 26 Apr 2011
Posts: 219

Re: If a,b are positive integers and a/b = 87.75 which of the following [#permalink]
Show Tags
07 Dec 2011, 00:04
If a,b are positive integers and a/b=87.75
here 87.75 = 87 + (3/4) so a= b*87+ b*3/4 since a and be are integer. b*87 is also integer. to evaluate this exp to integer b*3/4 must be integer. so b must be divisible by 4.
here 28 is only divisible by 4
ans is 28



NonHuman User
Joined: 09 Sep 2013
Posts: 6644

Re: If a,b are positive integers and a/b = 87.75 which of the following [#permalink]
Show Tags
09 Dec 2017, 00:45
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: If a,b are positive integers and a/b = 87.75 which of the following
[#permalink]
09 Dec 2017, 00:45






