GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Nov 2018, 10:11

### 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

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

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

November 22, 2018

November 22, 2018

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
• ### Key Strategies to Master GMAT SC

November 24, 2018

November 24, 2018

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

# If s and t are positive integers such that s/t = 64.12 which

Author Message
TAGS:

### Hide Tags

CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2702
Location: India
GMAT: INSIGHT
WE: Education (Education)
Re: If s and t are positive integers such that s/t = 64.12 which  [#permalink]

### Show Tags

14 Jul 2015, 07:44
Bunuel 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

Decimal part x Divisor = Remainder

i.e. o.12*t = remainder
i.e. Remainder = (12/100)*t = (3/25)*t

Since the Result has to be multiple of 3 so Option E is the only choice that fits the requirement

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Manager
Joined: 17 Mar 2014
Posts: 128
Location: United States
GPA: 3.97
Re: If s and t are positive integers such that s/t = 64.12 which  [#permalink]

### Show Tags

08 Dec 2015, 10:47
Bunuel 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

r = .12t = 12/100 * t
r = 3/25 * t
t = 25/3 * r

now we know that t is a positive integer. Thus, r should be a value divisible by 3. Only 45 satisfies that. Thus r = 45, so t to be a positive integer.
_________________

KUDOS!!!, I need them too

Current Student
Joined: 12 Aug 2015
Posts: 2632
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Re: If s and t are positive integers such that s/t = 64.12 which  [#permalink]

### Show Tags

03 Dec 2016, 23:17
This is an Amazing official Question.
Here is what i did in this Question =>

S/T=64.12
Using the Basic Remainder theory =>Dividend =Divisor*Quotient +Remainder
Here Quotient =64.12
So S=64.12T
=> S=64T+0.12T

0.12T ≥0 and <T
Hence it must be the remainder.
So the remainder is 0.12T
T=Remainder/0.12=> 25*Remainder/3
As T is an integer => Remainder must be a multiple of 3
Only value that is multiple of 3 is 45 aka option E

Hence E

_________________

MBA Financing:- INDIAN PUBLIC BANKS vs PRODIGY FINANCE!

Getting into HOLLYWOOD with an MBA!

The MOST AFFORDABLE MBA programs!

STONECOLD's BRUTAL Mock Tests for GMAT-Quant(700+)

AVERAGE GRE Scores At The Top Business Schools!

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: If s and t are positive integers such that s/t = 64.12 which  [#permalink]

### Show Tags

11 Dec 2017, 17:31
Bunuel 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.

_________________

Jeffery Miller

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Manager
Joined: 05 Dec 2016
Posts: 115
Re: If s and t are positive integers such that s/t = 64.12 which  [#permalink]

### Show Tags

06 Apr 2018, 09:09
we can use the formula $$s=tQ+R$$ so $$\frac{R}{t}=\frac{12}{100}=\frac{3}{25}$$
this means that R must be of the form $$R=3k$$.
the only multiple of 3 is E.45
_________________

lets all unite to reach our target together

Intern
Joined: 02 Oct 2016
Posts: 25
Re: If s and t are positive integers such that s/t = 64.12 which  [#permalink]

### Show Tags

08 Apr 2018, 05:51
1
The remainder is 0.12t0.12t (it is less than t) and it is an integer, being equal to s−64ts−64t.
Since 0.12t=325t0.12t=325t, it follows that t should be a multiple of 25, so t=25nt=25n, for some positive integer n.
Therefore, the remainder is 3n3n, or a multiple of 3. The only answer that is a multiple of 3 is 45.

Intern
Joined: 23 Jun 2018
Posts: 2
Re: If s and t are positive integers such that s/t = 64.12 which  [#permalink]

### Show Tags

09 Aug 2018, 10:44
The article by Karishma really helped! Thanks a lot for putting in the link!
Re: If s and t are positive integers such that s/t = 64.12 which &nbs [#permalink] 09 Aug 2018, 10:44

Go to page   Previous    1   2   [ 27 posts ]

Display posts from previous: Sort by