It is currently 22 Sep 2017, 08:26

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

f(x) is the remainder of n divided by x. If x is a positive

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
VP
VP
User avatar
Joined: 30 Jun 2008
Posts: 1033

Kudos [?]: 688 [0], given: 1

f(x) is the remainder of n divided by x. If x is a positive [#permalink]

Show Tags

New post 26 Oct 2008, 11:11
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

f(x) is the remainder of n divided by x. If x is a positive integer, is x greater than 20?

1) f(x+10)=42
2) f(bx)=36
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Kudos [?]: 688 [0], given: 1

SVP
SVP
avatar
Joined: 17 Jun 2008
Posts: 1540

Kudos [?]: 278 [0], given: 0

Re: DS : REMAINDER [#permalink]

Show Tags

New post 26 Oct 2008, 22:23
A for me.
stmt1: f(x+10) is the remainder of (x+10)/n and is equal to 42. Thus, n > 42 and (x+10) should at least be equal to 42. That means, x = 32. Hence, sufficient.

stmt2: f(bx) = 36 = remainder of bx/n. Here, n > 36 and smallest value of bx = 36. Here, we do not know what b is, hence x can be > or < 20. Hence, insufficient.

Kudos [?]: 278 [0], given: 0

Director
Director
avatar
Joined: 23 May 2008
Posts: 803

Kudos [?]: 82 [0], given: 0

Re: DS : REMAINDER [#permalink]

Show Tags

New post 26 Oct 2008, 22:41
scthakur wrote:
A for me.
stmt1: f(x+10) is the remainder of (x+10)/n and is equal to 42. Thus, n > 42 and (x+10) should at least be equal to 42. That means, x = 32. Hence, sufficient.

stmt2: f(bx) = 36 = remainder of bx/n. Here, n > 36 and smallest value of bx = 36. Here, we do not know what b is, hence x can be > or < 20. Hence, insufficient.


I was guessing A, but couldnt prove it....good soln!

but shouldnt it be n/(x+10) = 42?
and what if n=840 and x=10?

I think I would have ended up marking E

Kudos [?]: 82 [0], given: 0

1 KUDOS received
SVP
SVP
avatar
Joined: 17 Jun 2008
Posts: 1540

Kudos [?]: 278 [1], given: 0

Re: DS : REMAINDER [#permalink]

Show Tags

New post 26 Oct 2008, 22:56
1
This post received
KUDOS
bigtreezl wrote:
I was guessing A, but couldnt prove it....good soln!

but shouldnt it be n/(x+10) = 42?
and what if n=840 and x=10?

I think I would have ended up marking E


Good point bigtreez!.....my silly mistake. This should be n/(x+10). And, in this case, x+10 > 42 or x > 32. Hence, sufficient. And, if n = 840 and x = 10 then the remainder of n/(x+10) will be 0 and this will not satisfy stmt1.

similarly, from stmt2, n/bx has a remainder of 36 and hence, bx > 36. Here, we do not know b and hence, x. Insufficient.

Answer should still be A.

Kudos [?]: 278 [1], given: 0

SVP
SVP
User avatar
Joined: 29 Aug 2007
Posts: 2473

Kudos [?]: 832 [0], given: 19

Re: DS : REMAINDER [#permalink]

Show Tags

New post 27 Oct 2008, 10:41
scthakur wrote:
bigtreezl wrote:
I was guessing A, but couldnt prove it....good soln!

but shouldnt it be n/(x+10) = 42?
and what if n=840 and x=10?

I think I would have ended up marking E


Good point bigtreez!.....my silly mistake. This should be n/(x+10). And, in this case, x+10 > 42 or x > 32. Hence, sufficient. And, if n = 840 and x = 10 then the remainder of n/(x+10) will be 0 and this will not satisfy stmt1.

similarly, from stmt2, n/bx has a remainder of 36 and hence, bx > 36. Here, we do not know b and hence, x. Insufficient.

Answer should still be A.


but shouldnt it be n/(x+10) = 42? is not correct. In fact:
n = xk + f(x) whre k is an integer

Quote:
f(x) is the remainder of n divided by x. If x is a positive integer, is x greater than 20?

1) f(x+10)=42
2) f(bx)=36


1: f(x+10) = 42
so x = 32, which is > 20.

2) f(bx) = 36
If x = 1, b is 36 and vicw versa. so not suff.

Also go with A.
_________________

Verbal: http://gmatclub.com/forum/new-to-the-verbal-forum-please-read-this-first-77546.html
Math: http://gmatclub.com/forum/new-to-the-math-forum-please-read-this-first-77764.html
Gmat: http://gmatclub.com/forum/everything-you-need-to-prepare-for-the-gmat-revised-77983.html


GT

Kudos [?]: 832 [0], given: 19

VP
VP
User avatar
Joined: 30 Jun 2008
Posts: 1033

Kudos [?]: 688 [0], given: 1

Re: DS : REMAINDER [#permalink]

Show Tags

New post 27 Oct 2008, 16:46
:) OA is A
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Kudos [?]: 688 [0], given: 1

VP
VP
User avatar
Joined: 05 Jul 2008
Posts: 1403

Kudos [?]: 423 [0], given: 1

Re: DS : REMAINDER [#permalink]

Show Tags

New post 27 Oct 2008, 17:24
GMAT TIGER wrote:

but shouldnt it be n/(x+10) = 42? is not correct. In fact:
n = xk + f(x) whre k is an integer

Quote:
f(x) is the remainder of n divided by x. If x is a positive integer, is x greater than 20?

1) f(x+10)=42
2) f(bx)=36


1: f(x+10) = 42
so x = 32, which is > 20.

2) f(bx) = 36
If x = 1, b is 36 and vicw versa. so not suff.

Also go with A.


I agree with the red colored part and the n = xk + f(x)

f(x) = n-kx

f(x+10) = n - k(x+10) = 42

So now how did you deduce that x=32??

Kudos [?]: 423 [0], given: 1

VP
VP
User avatar
Joined: 30 Jun 2008
Posts: 1033

Kudos [?]: 688 [0], given: 1

Re: DS : REMAINDER [#permalink]

Show Tags

New post 28 Oct 2008, 12:35
icandy wrote:
icandy wrote:
I agree with the red colored part and the n = xk + f(x)

f(x) = n-kx

f(x+10) = n - k(x+10) = 42

So now how did you deduce that x=32??


Any takers fellas??


I got this question on my mail, from Princeton .... no idea why they sent me this ... maybe by mistake (I know this is weird ....)

they even had explanation along with this question. The Princeton OE is

1) Only, the remainder is 42, so x+10 must be greater than 42. x+10>42, x>32, x must be greater than 20, sufficient.

2) Only, the same reason as 1), bx>36, we don't know the value of b, so we cannot know if x would be greater than 20 or not, insufficient.
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Kudos [?]: 688 [0], given: 1

VP
VP
User avatar
Joined: 05 Jul 2008
Posts: 1403

Kudos [?]: 423 [0], given: 1

Re: DS : REMAINDER [#permalink]

Show Tags

New post 28 Oct 2008, 12:46
amitdgr wrote:
icandy wrote:
icandy wrote:
I agree with the red colored part and the n = xk + f(x)

f(x) = n-kx

f(x+10) = n - k(x+10) = 42

So now how did you deduce that x=32??


Any takers fellas??


I got this question on my mail, from Princeton .... no idea why they sent me this ... maybe by mistake (I know this is weird ....)

they even had explanation along with this question. The Princeton OE is

1) Only, the remainder is 42, so x+10 must be greater than 42. x+10>42, x>32, x must be greater than 20, sufficient.

2) Only, the same reason as 1), bx>36, we don't know the value of b, so we cannot know if x would be greater than 20 or not, insufficient.



I don't get it. What's wrong with me? :shock:

Kudos [?]: 423 [0], given: 1

VP
VP
User avatar
Joined: 30 Jun 2008
Posts: 1033

Kudos [?]: 688 [0], given: 1

Re: DS : REMAINDER [#permalink]

Show Tags

New post 28 Oct 2008, 12:55
icandy wrote:
I don't get it. What's wrong with me? :shock:


Precisely why I post this question ... I am not able to understand it .... And now I am confused with all the above posts :(

Bad question ??
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Kudos [?]: 688 [0], given: 1

SVP
SVP
avatar
Joined: 17 Jun 2008
Posts: 1540

Kudos [?]: 278 [0], given: 0

Re: DS : REMAINDER [#permalink]

Show Tags

New post 29 Oct 2008, 00:10
amitdgr wrote:
icandy wrote:
I don't get it. What's wrong with me? :shock:


Precisely why I post this question ... I am not able to understand it .... And now I am confused with all the above posts :(

Bad question ??


This is a remainder question and simple rule for the remainder question is that the remainder will always be smaller than the divisor. For example, if remainder of x/y is z then z will always be smaller than y.

With this logic, if 42 is the remainder when n is divided by (x+10), then (x+10) > 42 and hence x > 32.

I hope, this is of help.

Kudos [?]: 278 [0], given: 0

Re: DS : REMAINDER   [#permalink] 29 Oct 2008, 00:10
Display posts from previous: Sort by

f(x) is the remainder of n divided by x. If x is a positive

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.