Find all School-related info fast with the new School-Specific MBA Forum

It is currently 28 Jul 2014, 02:48

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

r, t, and s are all integers, is t/ (s^2) an integer? 1)

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
User avatar
Joined: 23 Aug 2003
Posts: 462
Location: In the middle of nowhere
Followers: 1

Kudos [?]: 9 [0], given: 0

GMAT Tests User
r, t, and s are all integers, is t/ (s^2) an integer? 1) [#permalink] New post 10 Feb 2004, 15:24
r, t, and s are all integers, is t/ (s^2) an integer?

1) t/rs is an integer

2) r/s is an integer

Vivek.
_________________

"Start By Doing What Is Necessary ,Then What Is Possible & Suddenly You Will Realise That You Are Doing The Impossible"

Director
Director
avatar
Joined: 13 Nov 2003
Posts: 801
Location: BULGARIA
Followers: 1

Kudos [?]: 18 [0], given: 0

GMAT Tests User
 [#permalink] New post 10 Feb 2004, 15:39
1) and 2) by themselves are insufficient. From t/rs multiplied with r/s equals t/s^2 since both are integers the resulting should be an integer or C)
GMAT Club Legend
GMAT Club Legend
avatar
Joined: 15 Dec 2003
Posts: 4318
Followers: 18

Kudos [?]: 147 [0], given: 0

GMAT Tests User
 [#permalink] New post 10 Feb 2004, 15:54
C)

From 1:
Let T = 12
R = 1
S = 3
Then T/RS = 12 / 1*3 = 4 and T/S^2 = 12 / 3^2 = 12/9 = 4/3 which is not an integer
Let T = 12
R = 3
S = 1
Then T/RS = 12 / 3*1 = 4 and T/S^2 = 12 / 1^2 = 12 which IS an integer
Thus 1 is not sufficient

From 2:
Let T = 12
R = 3
S = 1
Then R/S = 3/1 = 3 and T/S^2 = 12 / 3^2 = 4/3 which is not an integer
Let T = 12
R = 2
S = 1
Then R/S = 2/1 = 2 and T/S^2 = 12 / 1^2 = 12 which IS an integer
Thus 2 is not sufficient

Combining both statements we we will always be able to get an integer by ensuring that S (R/S being an integer) is the least of the 2 divisors (T/RS being an integer). I'm not sure how to explain this but I tried a few numbers and always get T/S^2 being an integer
_________________

Best Regards,

Paul

Manager
Manager
avatar
Joined: 28 Jan 2004
Posts: 205
Location: India
Followers: 2

Kudos [?]: 10 [0], given: 4

GMAT Tests User
 [#permalink] New post 10 Feb 2004, 23:40
Anadnk and Kpadma please explain ur proceedings!!!!!!!
Senior Manager
Senior Manager
User avatar
Joined: 23 Aug 2003
Posts: 462
Location: In the middle of nowhere
Followers: 1

Kudos [?]: 9 [0], given: 0

GMAT Tests User
 [#permalink] New post 11 Feb 2004, 09:03
The answer is C...but I dont have the official explanation..

Vivek.
_________________

"Start By Doing What Is Necessary ,Then What Is Possible & Suddenly You Will Realise That You Are Doing The Impossible"

Director
Director
avatar
Joined: 03 Jul 2003
Posts: 656
Followers: 2

Kudos [?]: 10 [0], given: 0

GMAT Tests User
 [#permalink] New post 11 Feb 2004, 09:23
mdfrahim wrote:
Anadnk and Kpadma please explain ur proceedings!!!!!!!


r, t, and s are all integers, is t/ (s^2) an integer?

1) t/rs is an integer

2) r/s is an integer


From Qustion stem: asked Is t/(s^2) an INT ?
or t = a * s^2; is "a" an INT ? --- (0)


From 1:
t/rs = b ; b= INT
t = b * rs ---- (1)

Where "b" or "r" could be either multiple of "s" or not.
If "b" or "r" is multiple of "s" ,then "a" is an INT.
If not, "a" is not an INT

INSUFF

From 2:
r/s = c; c = INT
r = c * s ---(2)

The does not give any relation between t and r&s.
INSUFF

From (1)+(2)
t= b * rs ; b = INT
r = c * s ; b = INT
togather,
t = b * c * s * s = bc * s^2
If b & c are INT, then bc = a is also INT.

SUFF

INT: Integer

Good Luck!
Senior Manager
Senior Manager
User avatar
Joined: 23 Aug 2003
Posts: 462
Location: In the middle of nowhere
Followers: 1

Kudos [?]: 9 [0], given: 0

GMAT Tests User
 [#permalink] New post 11 Feb 2004, 11:14
Very well explained KPadma...

Vivek.
_________________

"Start By Doing What Is Necessary ,Then What Is Possible & Suddenly You Will Realise That You Are Doing The Impossible"

  [#permalink] 11 Feb 2004, 11:14
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic The integers r and s are distinct, r#0, and s#0. If r^2s^2 = ezhilkumarank 4 16 Sep 2010, 17:22
Experts publish their posts in the topic If r and s are positive integers, is r/s an integer? (1) lumone 3 13 Jan 2008, 07:26
if S and W are integers, is w/5 an integer? (1) 4s + 2 is bmwhype2 6 18 May 2007, 14:07
1 If r and s are positive integers, is r/s an integer? (1) kookoo4tofu 3 12 May 2007, 14:52
If r and s are positive integers, is r/s an integer? 1) jinino 10 10 Aug 2005, 15:26
Display posts from previous: Sort by

r, t, and s are all integers, is t/ (s^2) an integer? 1)

  Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.