MBA Spotlight – The Biggest MBA Fair is June 13-14
close
It is currently 28 May 2023, 16:10
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel

If a and b are positive integers such that [m][fraction]a/b[/fraction]

4 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5859
Location: India
GMAT: QUANT EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Reviews Badge
If a and b are positive integers such that [m][fraction]a/b[/fraction] [#permalink] New post  28 Aug 2021, 22:25
2
Bookmarks
Expert Reply
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

75% (01:24) correct 25% (01:34) wrong based on 72 sessions

Hide Show timer Statistics

If a and b are positive integers such that \(\frac{a}{b} = 1.96\) then find the minimum value of a+b?

A) 64
B) 74
C) 84
D) 148
E) 296

ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
GMATinsight
Great Results (Q≥50 and V≥40) l Honest and Effective Admission Support l 100% Satisfaction !!!
One-on-One GMAT Skype classes l On-demand Quant Courses and Pricing l Admissions Consulting
Call/mail: +91-9999687183 l info@gmatinsight.com (for FREE Demo class/consultation)
SUCCESS STORIES: From 620 to 760 l Q-42 to Q-49 in 40 days l 590 to 710 + Wharton l GMAT730+ESCP
FREE Resources: 22 FULL LENGTH TESTS l OG QUANT 50 Qn+VIDEO Sol. l NEW:QUANT REVISION Topicwise Quiz
Signature Read More
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
User avatar
G
DashingNightmare2
Current Student
Joined: 30 May 2021
Posts: 104
Location: India
Concentration: Marketing, Technology
Schools: ISB '23 (A)
GMAT 1: 750 Q50 V41
GPA: 2.96
Re: If a and b are positive integers such that [m][fraction]a/b[/fraction] [#permalink] New post  28 Aug 2021, 22:47
1
Kudos
\( \frac{ a}{b}\)=1.96 = \(\frac{196}{100}\) = \(\frac{49}{25}\)

If we will try to reduce a and b further they will become decimal, but we are told in question that a and b are positive integers

So a =49 b=25
a+b = 49 + 25 =74

Hence IMO B
avatar
D
rvgmat12
Senior Manager
Senior Manager
Joined: 19 Oct 2014
Posts: 408
Location: United Arab Emirates
Schools: Wharton '23 Booth '23 INSEAD Jan'21 Intake
GMAT ToolKit User Reviews Badge
Re: If a and b are positive integers such that [m][fraction]a/b[/fraction] [#permalink] New post  29 Aug 2021, 04:08
1+96/100 = 1+24/25

25+ 49 = 74

B
avatar
S
sahiba96
Yale Moderator
Joined: 21 Jan 2020
Posts: 51
Location: India
Concentration: Technology, Sustainability
Schools: Kenan-Flagler '25 (A$$$) ISB '24 (A) Darden '25 (A) Foster '25 (A$$) McCombs '25 (A$$)
GMAT 1: 660 Q50 V29 (Online)
GMAT 2: 720 Q50 V38
GMAT 3: 720 Q50 V38
GPA: 3.2
WE:Engineering (Computer Software)
Re: If a and b are positive integers such that [m][fraction]a/b[/fraction] [#permalink] New post  29 Aug 2021, 07:07
1
Kudos
a=1.96b
a+b = 2.96b
2.96 * b is an integer while b itself is an integer
now go and substitute answers quickly and check whether b is an integer or not for a given answer choice
go from highest to lowest as answer choices are clearly multiples of each other and stop at the lowest possible integer leading to an integer reminder


E) 296 b= 296/2.96 easy 100, integer

D) 148 b= 148/2.96 E/2 = 50, integer

B) 74 b= 74/2.96 D/2 =25, integer

C) 84 b= 84/2.96 this will clearly not be an integer (you can just check quickly 84*25/74 which is clearly not an integer )

A) 64 b= 64/2.96 same as C


as we are looking for minimum value, so B
GMAT Club Bot
gmatclubot
Re: If a and b are positive integers such that [m][fraction]a/b[/fraction] [#permalink]
29 Aug 2021, 07:07
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
Bunuel
Math Expert
88704 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3151 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions