May 24 10:00 PM PDT  11:00 PM PDT Join a FREE 1day workshop and learn how to ace the GMAT while keeping your fulltime job. Limited for the first 99 registrants. May 25 07:00 AM PDT  09:00 AM PDT Attend this webinar and master GMAT SC in 10 days by learning how meaning and logic can help you tackle 700+ level SC questions with ease. May 27 01:00 AM PDT  11:59 PM PDT All GMAT Club Tests are free and open on May 27th for Memorial Day! May 27 10:00 PM PDT  11:00 PM PDT Special savings are here for Magoosh GMAT Prep! Even better  save 20% on the plan of your choice, now through midnight on Tuesday, 5/27
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 55228

If 42.42 = k(14 + m/50), where k and m are positive integers and m < 5
[#permalink]
Show Tags
22 May 2016, 14:48
Question Stats:
66% (02:12) correct 34% (02:39) wrong based on 195 sessions
HideShow timer Statistics
If 42.42 = k(14 + m/50), where k and 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
Official Answer and Stats are available only to registered users. Register/ Login.
_________________




SVP
Joined: 26 Mar 2013
Posts: 2176

Re: If 42.42 = k(14 + m/50), where k and m are positive integers and m < 5
[#permalink]
Show Tags
22 May 2016, 16:57
Bunuel wrote: If 42.42 = k(14 + m/50), where k and 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 = 14K + Km/50...we can rewrite the number as follows: 42+ 0.42= 14K + Km/50........Since K is integer, then 42=14K..........K=3 0.42=Km/50......42/100=3m/50......m=7 k+m=3+7=10 Answer: E




Intern
Joined: 25 Apr 2016
Posts: 25
Concentration: Entrepreneurship, Marketing

Re: If 42.42 = k(14 + m/50), where k and m are positive integers and m < 5
[#permalink]
Show Tags
31 May 2017, 19:54
Mo2men wrote: Bunuel wrote: If 42.42 = k(14 + m/50), where k and 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 = 14K + Km/50...we can rewrite the number as follows: 42+ 0.42= 14K + Km/50........Since K is integer, then 42=14K..........K=3 0.42=Km/50......42/100=3m/50......m=7 k+m=3+7=10 Answer: E Please explain the highlighted part. As in , how is 42.42 = 42 + 0.42?



Retired Moderator
Joined: 22 Aug 2013
Posts: 1443
Location: India

Re: If 42.42 = k(14 + m/50), where k and m are positive integers and m < 5
[#permalink]
Show Tags
31 May 2017, 23:06
42.42 = 42 + 0.42 = 42 + 42/100 = 42 + 21/50
Now this slightly resembles the right hand side, but still we need to change it to the form: k (14+m/50) where k and m are positive integers. And we can see that 42 = 14*3
So, 42 + 21/50 = 3 (14 + 7/50) ... (taking out 3 common) Hence k=3, m=7. Required sum = 3+7 = 10.
Hence E answer



SVP
Joined: 26 Mar 2013
Posts: 2176

Re: If 42.42 = k(14 + m/50), where k and m are positive integers and m < 5
[#permalink]
Show Tags
01 Jun 2017, 03:10
ishitam wrote: Mo2men wrote: Bunuel wrote: If 42.42 = k(14 + m/50), where k and 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 = 14K + Km/50...we can rewrite the number as follows: 42+ 0.42= 14K + Km/50........Since K is integer, then 42=14K..........K=3 0.42=Km/50......42/100=3m/50......m=7 k+m=3+7=10 Answer: E Please explain the highlighted part. As in , how is 42.42 = 42 + 0.42? It is the same when you say 3.5. It is sum of 3 plus 0.5 . Part of the number is integer number (42) and part is decimal number (0.42) Hope it helps.



Current Student
Joined: 04 Jan 2016
Posts: 166
Location: United States (NY)
GMAT 1: 620 Q44 V32 GMAT 2: 600 Q48 V25 GMAT 3: 660 Q42 V39
GPA: 3.48

Re: If 42.42 = k(14 + m/50), where k and m are positive integers and m < 5
[#permalink]
Show Tags
04 Jun 2017, 09:06
We have
\(\frac{4242}{100}= 14k+\frac{km}{50} => 4242 = 1400k + \frac{100km}{50} => 4200+42 = 1400*(3) + 2km => 4200 + 42 = 4200 + 2(3)m => 42=6m => m=\frac{42}{6}=7\)
Therefore,\(m+k=3+7=10\)
Option E
In the beginning, it might seems rough but practice brings all to life.
Please Kudos should you like the detailed solution.



Manager
Joined: 22 May 2015
Posts: 108

Re: If 42.42 = k(14 + m/50), where k and m are positive integers and m < 5
[#permalink]
Show Tags
28 Jul 2017, 20:24
42.42 = 4242/100 = 2121/50 = 14K + KM/50 = (14K*50+KM)/50 => 2121 = 14K*50 + KM = K(700+M) 3*7*101 = K(700+M) Since M < 50 3*707=K(700+M) K =3 M=7 => K+M = 10
_________________



Director
Affiliations: IIT Dhanbad
Joined: 13 Mar 2017
Posts: 724
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)

Re: If 42.42 = k(14 + m/50), where k and m are positive integers and m < 5
[#permalink]
Show Tags
28 Jul 2017, 22:54
Bunuel wrote: If 42.42 = k(14 + m/50), where k and 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 ) 42 = 14k and 0.42 = km/50 > k = 3 also 0.42 = 3*m/50 m = 7 k+m = 10 Answer E
_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler UPSC Aspirants : Get my app UPSC Important News Reader from Play store. MBA Social Network : WebMaggu
Appreciate by Clicking +1 Kudos ( Lets be more generous friends.) What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 14188
Location: United States (CA)

Re: If 42.42 = k(14 + m/50), where k and m are positive integers and m < 5
[#permalink]
Show Tags
18 Mar 2018, 18:44
Hi All, This question has a number of builtin '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 would be larger than 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: GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/




Re: If 42.42 = k(14 + m/50), where k and m are positive integers and m < 5
[#permalink]
18 Mar 2018, 18:44






