BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

Need an elegant solution

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Newbie | Next Rank: 10 Posts
Posts: 1
Joined: Sun Mar 16, 2014 12:33 am
by nuranes » Sun Mar 16, 2014 12:34 am
Help...
Have the foll. question:

6. If 42.42 = k(14 + m/50), where kand m are positive integers and m < 50, then what is the value of
k+ m?
(A) 6
(B) 7
(C) 8
(D) 9
(E) 10

Need a solution which does not use the substitution method...

Thanks...
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members
Location: New York, NY
Thanked: 13060 times
GMAT Score:790

by GMATGuruNY » Sun Mar 16, 2014 3:49 am
nuranes wrote:If 42.42 = k(14 + m/50), where kand m are positive integers and m < 50, then what is the value of
k+ m?
(A) 6
(B) 7
(C) 8
(D) 9
(E) 10
42.42 = k(14 + m/50)

4242/100 = k * (700+m)/50

2121/50 = [k * (700+m)]/ 50

2121 = k * (700 + m)

3 * 707 = k * (700+m).

Thus:
k=3, m=7, and k+m = 10.

The correct answer is E.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 1556
Joined: Tue Aug 14, 2012 11:18 pmFollowed by: 34 members
Thanked: 448 times
GMAT Score:650

by theCodeToGMAT » Sun Mar 16, 2014 9:35 am
42.42 = k(14 + m/50)

4242 = 1400k + 2mk

Since, k & M are integers.. then the possible combination is:

4242 ==> 1400*3 + 2*7*3

k = 3, m = 7

k + m = 10

[spoiler]{E}[/spoiler]
R A H U L
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pmFollowed by: 511 members
Location: Palo Alto, CA
Thanked: 2867 times
GMAT Score:800

by [email protected] » Sun Mar 16, 2014 9:20 pm
Hi nuranes,

This question has a number of built-in limitations that you can take advantage of that will allow you to really minimize the amount of math that is required.

We're told that K and M are POSITIVE INTEGERS and M < 50.

We're also told that 42.42 = K(14+m/50), which we can rewrite as...

42.42 = 14K + KM/50

Since both variables are positive integers, K MUST be 1, 2, or 3 (otherwise the total we go over 42.42...

Since M < 50, then M/50 is < 1, so it's likely that K = 3. This tells us that...

.42 = 3M/50

Now the math will only take a few steps...

21 = 3M

7 = M

The value of K + M = 10

Final Answer: E

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1