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

Redeem

Quotient-Remainder Problem

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |
Legendary Member
Posts: 966
Joined: Sat Jan 02, 2010 8:06 am
Thanked: 230 times
Followed by:21 members

by shankar.ashwin » Tue Jan 03, 2012 12:23 pm
m/n = 24.2

2/10 = 12/n

n = 60

Refer this post for a detailed explanation https://www.beatthegmat.com/number-prope ... tml#415002
Top
Legendary Member
Posts: 1084
Joined: Fri Apr 15, 2011 2:33 pm
Thanked: 158 times
Followed by:21 members

by pemdas » Tue Jan 03, 2012 12:42 pm
m/n=k+12/n where k is integer
m/n=24.2, find n?

24.2=k+12/n, k=24.2-12/n=(24.2n-12)/n
24n+n/5-12=nk, 121n/5 -nk=12
n(121/5-k)=12, n(121-5k)=60

n and k must be positive integers

>>> 5k can have either 5 or 0 at the end (short-cut for playing with numbers)
>>> n cannot be less than 1

among all answer choices A is out
possible if n=60, k=24 ans.B +
if n=30, 121-5k=2 and 119=5k, k isn't integer ans. C is out
if n=24, we get ratio ans.D is out
if n=12, 121-5k=5 and 116=5k, k isn't integer

b


ranvijay87 wrote:When positive integer m is divided by positive integer n , the remainder is 12.if m/n = 24.2
,what is the value of n?
a.120
b.60
c.30
d.24
e.12
Success doesn't come overnight!
Top
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Tue Jan 03, 2012 5:34 pm
ranvijay87 wrote:When positive integer m is divided by positive integer n , the remainder is 12.if m/n = 24.2
,what is the value of n?
a.120
b.60
c.30
d.24
e.12
When one positive integer is divided by another, we typically represent what's left over either as a REMAINDER or as a DECIMAL.
There is a relationship between the two representations:

Remainder/Divisor = Decimal.

When 5 is divided by 2:
Remainder representation: 5/2 = 2 R1.
Decimal representations: 5/2 = 2.5.
Remainder/Divisor = 1/2.
Decimal = .5.
Since the two values are equal:
Remainder/divisor = decimal.

It can be helpful to write the decimal representation AS A FRACTION IN ITS MOST REDUCED FORM.

In the problem above:
Remainder = 12.
Divisor = n.
Decimal = .2 = 2/10 = 1/5.
Plugging these values into remainder/divisor = decimal, we get:
12/n = 1/5
n = 60.

The correct answer is B.
Last edited by GMATGuruNY on Wed Jan 04, 2012 5:37 am, edited 1 time in total.
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
User avatar
Legendary Member
Posts: 1665
Joined: Thu Nov 03, 2011 7:04 pm
Thanked: 165 times
Followed by:70 members

by karthikpandian19 » Tue Jan 03, 2012 10:30 pm
Answer is 60

In case of any remainder problem, i think this is the easiest approach

m/n=24.2

Where 24 = quotient
0.2 = remainder decimal value
12 = remainder value

So, Remainder value/divisor = remainder in decimal value....
12/n = 0.2

So, n=60

If you dont understand, see this example below:

7/2 = 3.5

and remainder of 7/2 is 1

So, 1/2 = 0.5 (remainder decimal value)
Top
Senior | Next Rank: 100 Posts
Posts: 32
Joined: Mon Oct 31, 2011 4:41 am
Thanked: 2 times

by LeoBen » Wed Jan 04, 2012 6:13 am
m = nx+12 -- x should be a positive integer

m/n = x + 12/n

x + 12/n = 24.2

10x + 120/n = 242

x = (242 - 120/n) /10

-- amongst the options only 60 will make x positive integer.

another method could be
24 + 0.2 = m/n
24 + 1/5 = x + 12/n

1/5 = 12/n (as these are remainders)

n = 60
Top
Post new topic Post Reply
• Page 1 of 1