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

It is currently 22 Sep 2018, 00:35

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
avatar
Joined: 13 Oct 2009
Posts: 50
Location: New York, NY
Schools: Columbia, Johnson, Tuck, Stern
If s and t are positive integers such that s/t = 64.12 which  [#permalink]

Show Tags

New post 26 Nov 2010, 08:17
2
10
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

75% (00:54) correct 25% (01:21) wrong based on 283 sessions

HideShow timer Statistics

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

a. 2
b. 4
c. 8
d. 20
e. 45
Most Helpful Expert Reply
Veritas Prep GMAT Instructor
User avatar
P
Joined: 16 Oct 2010
Posts: 8284
Location: Pune, India
Re: Remainders  [#permalink]

Show Tags

New post 26 Nov 2010, 20:45
6
3
Wayxi wrote:
Hi, I was was not satisfied with the explanation given from the Official Guide for this question. Please let me know if there are alternative techniques to solve this:

If s and t are positive intergers sug that s/t = 64.12, which of the following could be the remainder when s is dividted by t ?

a. 2
b. 4
c. 8
d. 20
e. 45


When we say \(\frac{s}{t} = 64.12 = 64 \frac{12}{100} = 64 \frac{3}{25}\)
We get \(\frac{s}{t} = 64 \frac{3}{25}\)
What does the mixed fraction of the right hand side signify? It signifies that s > t and when s is divided by t, we get 64 as quotient and 3 as remainder if t is 25.

e.g. \(\frac{13}{5} = 2 \frac{3}{5}\). Here, remainder is 3
\(\frac{130}{50} = 2 \frac{30}{50}\). Here remainder is 30.
\(\frac{26}{10} = 2 \frac{6}{10}\). Here remainder is 6.
So in our question, the remainder will be 3 or any multiple of 3. 45 is the only multiple of 3.
_________________

Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >

GMAT self-study has never been more personalized or more fun. Try ORION Free!

General Discussion
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49300
Re: Remainders  [#permalink]

Show Tags

New post 26 Nov 2010, 08:34
Wayxi wrote:
Hi, I was was not satisfied with the explanation given from the Official Guide for this question. Please let me know if there are alternative techniques to solve this:

If s and t are positive intergers sug that s/t = 64.12, which of the following could be the remainder when s is dividted by t ?

a. 2
b. 4
c. 8
d. 20
e. 45


Note: Positive integer \(a\) divided by positive integer \(d\) yields a reminder of \(r\) can always be expressed as \(a=qd+r\), where \(q\) is called a quotient and \(r\) is called a remainder, note here that \(0\leq{r}<d\) (remainder is non-negative integer and always less than divisor).

So, "s divided by t gives remainder r" can be expressed by the following formula: \(s=qt+r\), in or case as \(\frac{s}{t}=64.12\) then \(q=64\), --> \(s=64t+r\), divide both parts by \(t\) --> \(\frac{s}{t}=64+\frac{r}{t}\) --> \(64.12=64+\frac{r}{t}\) --> \(0.12=\frac{r}{t}\)--> \(\frac{3}{25}=\frac{r}{t}\) so \(r\) must be the multiple of 3. Only answer multiple of 3 is 45.

Or: \(\frac{s}{t}=64\frac{12}{100}=64\frac{3}{25}\), so if the divisor=t=25 then the remainder=r=3. Basically we get that divisor is a multiple of 25 and the remainder is a multiple of 3. Only answer multiple of 3 is 45.

Answer: E.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
avatar
Joined: 13 Oct 2009
Posts: 50
Location: New York, NY
Schools: Columbia, Johnson, Tuck, Stern
Re: Remainders  [#permalink]

Show Tags

New post 26 Nov 2010, 23:35
Thanks, i understand this now. I solved it down to 64 3/25 and i didn't see a 3 in any of the choices so i didn't know where to go from there.

Can we also say that t = some multiple of 25 ? ie.
And therefore s = 64 * some multiple of 25 + some multiple of 3 ?
Veritas Prep GMAT Instructor
User avatar
P
Joined: 16 Oct 2010
Posts: 8284
Location: Pune, India
Re: Remainders  [#permalink]

Show Tags

New post 27 Nov 2010, 07:05
1
Wayxi wrote:
Thanks, i understand this now. I solved it down to 64 3/25 and i didn't see a 3 in any of the choices so i didn't know where to go from there.

Can we also say that t = some multiple of 25 ? ie.
And therefore s = 64 * some multiple of 25 + some multiple of 3 ?


You are right. If remainder is 45 (3*15), then t must be 25*15 and s must be 64*(25*15) + 45.
_________________

Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >

GMAT self-study has never been more personalized or more fun. Try ORION Free!

Manager
Manager
avatar
Joined: 13 Oct 2009
Posts: 50
Location: New York, NY
Schools: Columbia, Johnson, Tuck, Stern
Re: Remainders  [#permalink]

Show Tags

New post 27 Nov 2010, 08:14
Cool, thanks a lot Karishma.
Manager
Manager
avatar
Joined: 30 Aug 2010
Posts: 88
Location: Bangalore, India
new  [#permalink]

Show Tags

New post 20 Dec 2010, 05:11
1
anshumishra wrote:
ajit257 wrote:
thanks guys....

anshumishra....thanks for the hint. i feel better now.


Great ! I am happy that it helped.

Here is another similar problem. Try to solve yourself first.

If s and t are positive integer 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

Ans: E
0.12 = 12/100 = r/t => t = 100*r/12 (where r & t are both integers)
Only E has the integral soln.


Thanks


Let me put it in a better way.

reminder \(R = 12t/100\)
==> \(12t/100\) is an integer
==> \(3t/25\) is an integer
==> \(3t/5^2\) is an integer
note that 3 and 5 are prime #s ==> t has to be a multiple of 5^2 for the reminder to be an integer and the reminder has to be a multiple of 3 as the prime # 3 presents in the numerator.

The only mupltiple of 3 in the answers choices is 45 i.e E.

Regards,
Murali.
Kudos?
Board of Directors
User avatar
P
Joined: 01 Sep 2010
Posts: 3416
Re: Remainders  [#permalink]

Show Tags

New post 21 Dec 2010, 18:59
VeritasPrepKarishma wrote:
Wayxi wrote:
Hi, I was was not satisfied with the explanation given from the Official Guide for this question. Please let me know if there are alternative techniques to solve this:

If s and t are positive intergers sug that s/t = 64.12, which of the following could be the remainder when s is dividted by t ?

a. 2
b. 4
c. 8
d. 20
e. 45


When we say \(\frac{s}{t} = 64.12 = 64 \frac{12}{100} = 64 \frac{3}{25}\)
We get \(\frac{s}{t} = 64 \frac{3}{25}\)
What does the mixed fraction of the right hand side signify? It signifies that s > t and when s is divided by t, we get 64 as quotient and 3 as remainder if t is 25.

e.g. \(\frac{13}{5} = 2 \frac{3}{5}\). Here, remainder is 3
\(\frac{130}{50} = 2 \frac{30}{50}\). Here remainder is 30.
\(\frac{26}{10} = 2 \frac{6}{10}\). Here remainder is 6.
So in our question, the remainder will be 3 or any multiple of 3. 45 is the only multiple of 3.


Thanks :) always cristal clear
_________________

COLLECTION OF QUESTIONS AND RESOURCES
Quant: 1. ALL GMATPrep questions Quant/Verbal 2. Bunuel Signature Collection - The Next Generation 3. Bunuel Signature Collection ALL-IN-ONE WITH SOLUTIONS 4. Veritas Prep Blog PDF Version 5. MGMAT Study Hall Thursdays with Ron Quant Videos
Verbal:1. Verbal question bank and directories by Carcass 2. MGMAT Study Hall Thursdays with Ron Verbal Videos 3. Critical Reasoning_Oldy but goldy question banks 4. Sentence Correction_Oldy but goldy question banks 5. Reading-comprehension_Oldy but goldy question banks

Manager
Manager
avatar
Joined: 30 May 2013
Posts: 164
Location: India
Concentration: Entrepreneurship, General Management
GPA: 3.82
GMAT ToolKit User
Re: Remainders  [#permalink]

Show Tags

New post 16 Aug 2013, 23:02
VeritasPrepKarishma wrote:
Wayxi wrote:
Hi, I was was not satisfied with the explanation given from the Official Guide for this question. Please let me know if there are alternative techniques to solve this:

If s and t are positive intergers sug that s/t = 64.12, which of the following could be the remainder when s is dividted by t ?

a. 2
b. 4
c. 8
d. 20
e. 45


When we say \(\frac{s}{t} = 64.12 = 64 \frac{12}{100} = 64 \frac{3}{25}\)
We get \(\frac{s}{t} = 64 \frac{3}{25}\)
What does the mixed fraction of the right hand side signify? It signifies that s > t and when s is divided by t, we get 64 as quotient and 3 as remainder if t is 25.

e.g. \(\frac{13}{5} = 2 \frac{3}{5}\). Here, remainder is 3
\(\frac{130}{50} = 2 \frac{30}{50}\). Here remainder is 30.
\(\frac{26}{10} = 2 \frac{6}{10}\). Here remainder is 6.
So in our question, the remainder will be 3 or any multiple of 3. 45 is the only multiple of 3.


Hi,

In this if the remainder is 45 then the Divisor will be
25*15 right?

regrds,
Rrsnatha.
Senior Manager
Senior Manager
avatar
Joined: 10 Jul 2013
Posts: 315
Re: If s and t are positive integers such that s/t = 64.12 which  [#permalink]

Show Tags

New post 17 Aug 2013, 12:04
Wayxi wrote:
If s and t are positive intergers such that s/t = 64.12, which of the following could be the remainder when s is dividted by t ?

a. 2
b. 4
c. 8
d. 20
e. 45

12/100 = remainder/quotient = 3/25 = 45/(25*15) so remainder = 45
_________________

Asif vai.....

VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1088
If s and t are positive integers such that s/t = 64.12 which  [#permalink]

Show Tags

New post 07 Jan 2018, 18:02
Wayxi wrote:
If s and t are positive intergers such that s/t = 64.12, which of the following could be the remainder when s is dividted by t ?

a. 2
b. 4
c. 8
d. 20
e. 45


.12=12/100=9/75=6/50=3/25
note all numerators are multiples of 3
45 is only multiple of 3
E
If s and t are positive integers such that s/t = 64.12 which &nbs [#permalink] 07 Jan 2018, 18:02
Display posts from previous: Sort by

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.