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 →

Can you help with this problem? Thanks!

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Senior | Next Rank: 100 Posts
Posts: 64
Joined: Mon Jul 23, 2012 1:59 pm
Thanked: 1 times
by yumi2012 » Tue Sep 03, 2013 7:07 pm

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

If s and t are positive integers such that s/t = 64.12, which of the following could be the remainder when s is divided by t ?

(A) 2
(B) 4
(C) 8
(D) 20
(E) 45

Diagnostic Test
Question: 13
Page: 22
Difficulty: 650
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
Master | Next Rank: 500 Posts
Posts: 283
Joined: Sun Jun 23, 2013 11:56 pmFollowed by: 26 members
Location: Bangalore, India
Thanked: 97 times
GMAT Score:750

by ganeshrkamath » Tue Sep 03, 2013 8:03 pm
yumi2012 wrote:If s and t are positive integers such that s/t = 64.12, which of the following could be the remainder when s is divided by t ?

(A) 2
(B) 4
(C) 8
(D) 20
(E) 45

Diagnostic Test
Question: 13
Page: 22
Difficulty: 650
s/t = 64.12
s = 64t + 0.12t
0.12t = 3*4/100 * t
= 3/25 * t

For 0.12t to be an integer, t should be 25,50,75,100,...
So 0.12t = 3,6,9,12,....
So the remainder 0.12t is always a multiple of 3.

Choose E

Cheers
Every job is a self-portrait of the person who did it. Autograph your work with excellence.

Kelley School of Business (Class of 2016)
GMAT Score: 750 V40 Q51 AWA 5 IR 8
https://www.beatthegmat.com/first-attemp ... tml#688494
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
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 » Tue Sep 03, 2013 8:42 pm
If s and t are positive integers such that s/t= 64.12, which of the following could be the remainder when s is divided by t?
a.2
b.4
c.8
d.20
e.45
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.

We should write the decimal representation AS A FRACTION IN ITS MOST REDUCED FORM.

In the problem above:
Remainder = R
Divisor = t
Decimal = .12 = 12/100 = 3/25.
Plugging these values into remainder/divisor = decimal, we get:
R/t = 3/25.

Since R/t is in its most reduced form, we know that t must be a multiple of 25 and that R must be a multiple of 3.
Only answer choice E is a multiple of 3.

The correct answer is E.

Similar problems:
https://www.beatthegmat.com/quotient-rem ... 01371.html
https://www.beatthegmat.com/remainder-t176105.html
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
Master | Next Rank: 500 Posts
Posts: 234
Joined: Tue Jul 16, 2013 9:00 am
Location: West Virginia
Thanked: 9 times

by Java_85 » Tue Sep 03, 2013 8:50 pm
Nice question!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8151
Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members
Location: Los Angeles, CA
Thanked: 43 times

by Scott@TargetTestPrep » Mon Mar 19, 2018 3:39 pm
yumi2012 wrote:If s and t are positive integers such that s/t = 64.12, which of the following could be the remainder when s is divided by t ?

(A) 2
(B) 4
(C) 8
(D) 20
(E) 45
This problem will be best solved using the remainder formula. Let's first state the remainder formula:

When positive integer x is divided by positive integer y, if integer Q is the quotient and r is the remainder, then x/y = Q + r/y.

In this problem we are given the following:

s/t = 64.12

We can simplify this to read as the remainder formula:

s/t = 64 + 0.12

s/t = 64 + 0.12

s/t = 64 + 12/100

s/t = 64 + 3/25

Because Q is always an integer, we see that Q must be 64, and thus the remainder r/y must be 3/25. We can now equate r/y to 3/25 and determine a possible value for r.

r/y = 3/25

Note that some equivalent values for r/y could be 6/50 or 9/75 or 12/100, and so forth. Note that in all cases, the value of r is a multiple of 3.

Of the answer choices, the only multiple of 3 is 45, so that is a possible value of r.

Answer: E

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
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

Re: Can you help with this problem? Thanks!

by [email protected] » Sun Apr 18, 2021 3:24 pm
Hi All,

We’re told that S and T are both POSITIVE INTEGERS and that S/T = 64.12; we’re asked which of the 5 answers COULD be the remainder when S is divided by T. The wording of the question implies that there is more than one possible answer, so the first example that we come up with might not be listed among the 5 choices – and we’ll likely need to do a little extra work to get to the final answer.

This question can be solved with some standard Arithmetic rules and TESTing VALUES (to define the pattern behind this question).

Since S and T are POSITIVE INTEGERS, there is clearly a relationship between those two values: S is equal to 64.12 times T. The ‘quirky’ part of that equation is the .12, so we can start with the simplest example that we know would give us those two decimal points:

S = 6412 and T = 100…. S/T = 6412/100 = 64.12

In this example, the remainder would be 12. This is clearly not among the choices (but that’s not a surprise; remember the question asked what COULD be the remainder, NOT “what IS the remainder”…).

We can ‘reduce’ this fraction and still keep the 64.12 ‘relationship’; since both the numerator and denominator are EVEN numbers, we can divide both by 2…

S = 3206 and T = 50

Here, the remainder would be 6. This too is not among the answer choices. Both S and T are still even though, so we can divide both by 2 again…

S = 1603 and T = 25

This would give us a remainder of 3 – and while we still don’t have a result that’s among the 5 choices, we do have enough information to define the pattern involved in all three answers: they are ALL multiples of 3…. And there’s only one answer among the 5 that fits THAT pattern.

Final Answer: E

While it’s not necessary to do the extra math… if you wanted to, then you could prove that that Answer is correct by using the ‘reducing’ rule in reverse: you can multiply both the numerator and the denominator by the same number and the 64.12 relationship would stay the same.

If you multiply both 1603 and 25 by 15, you will end up with some larger numbers (S = 24045 and T = 375) and the remainder would match the correct answer.

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