It is currently 22 Oct 2017, 00:03

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If n is an integer and 100 < n <200, what is the value of n?

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

### Hide Tags

Intern
Joined: 19 Nov 2011
Posts: 9

Kudos [?]: 238 [0], given: 0

If n is an integer and 100 < n <200, what is the value of n? [#permalink]

### Show Tags

28 Jan 2012, 04:12
3
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

64% (00:59) correct 36% (01:14) wrong based on 430 sessions

### HideShow timer Statistics

If n is an integer and 100 < n <200, what is the value of n?

(1) n/36 is an odd integer.
(2) n/45 is an even integer.
[Reveal] Spoiler: OA

Last edited by Bunuel on 28 Jan 2012, 04:38, edited 1 time in total.
Added the OA and moved to DS subforum.

Kudos [?]: 238 [0], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 41889

Kudos [?]: 129207 [2], given: 12196

Re: Numbers [#permalink]

### Show Tags

28 Jan 2012, 04:37
2
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
RadhaKrishnan wrote:
If n is an integer and 100 < n <200, what is the value of n?

(1) n/36 is an odd integer.
(2) n/45 is an even integer.

If n is an integer and 100 < n <200, what is the value of n?

(1) n/36 is an odd integer --> $$\frac{n}{36}=odd$$ --> $$n=36*odd$$ --> $$n$$ is even multiple of 36 in the range 100-200 --> there are two such numbers possible: $$n=36*odd=36*3=108$$ and $$n=36*odd=36*5=180$$. Two different answers, hence not sufficient.

(2) n/45 is an even integer --> $$\frac{n}{45}=even$$ --> $$n=45*even$$ --> $$n$$ is even multiple of 45 (basically a multiple of 90) in the range 100-200 --> there is only one such number possible: $$n=45*even=45*4=180$$ (as 45*2<100 and 45*6>200). Sufficient.

Answer: B.
_________________

Kudos [?]: 129207 [2], given: 12196

Intern
Joined: 10 Jan 2013
Posts: 7

Kudos [?]: 7 [0], given: 19

DS [#permalink]

### Show Tags

11 Feb 2013, 10:12
If n is an integer and 100 < n <200, what is the value of n?
(1) 36n is an odd integer.
(2) 45n is an even integer.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

The answer is OA C, however i think the only even multiple of 45 between 100 and 200 is 180 so shuoldn't it be B?plzz explain

Kudos [?]: 7 [0], given: 19

Math Expert
Joined: 02 Sep 2009
Posts: 41889

Kudos [?]: 129207 [0], given: 12196

Re: DS [#permalink]

### Show Tags

11 Feb 2013, 10:21
4112019 wrote:
If n is an integer and 100 < n <200, what is the value of n?
(1) 36n is an odd integer.
(2) 45n is an even integer.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

The answer is OA C, however i think the only even multiple of 45 between 100 and 200 is 180 so shuoldn't it be B?plzz explain

Merging similar topics. Original question is in the first post. OA is B, not C.

Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to the rule #3: the name of a topic MUST be the first 40 characters (~the first two sentences) of the question.
_________________

Kudos [?]: 129207 [0], given: 12196

Manager
Joined: 23 May 2013
Posts: 122

Kudos [?]: 67 [0], given: 110

Re: If n is an integer and 100 < n <200, what is the value of n? [#permalink]

### Show Tags

10 Oct 2013, 17:37
n/36 is odd. there are only below numbers which are divisible by 36 and between 100 and 200
36*3 = 108
36*5 = 180
so n can be 108 or 180. Hence not sufficient

n/45 is even. There is only 1 choice for n which is between 100 and 200
45*4 = 180
for other mulitples of 45 between 100 and 200, n/45 will be odd (3 or 5). Hence B is sufficient.
_________________

“Confidence comes not from always being right but from not fearing to be wrong.”

Kudos [?]: 67 [0], given: 110

Current Student
Joined: 06 Sep 2013
Posts: 1978

Kudos [?]: 719 [0], given: 355

Concentration: Finance
Re: Numbers [#permalink]

### Show Tags

05 Jan 2014, 13:56
Bunuel wrote:
RadhaKrishnan wrote:
If n is an integer and 100 < n <200, what is the value of n?

(1) n/36 is an odd integer.
(2) n/45 is an even integer.

If n is an integer and 100 < n <200, what is the value of n?

(1) n/36 is an odd integer --> $$\frac{n}{36}=odd$$ --> $$n=36*odd$$ --> $$n$$ is even multiple of 36 in the range 100-200 --> there are two such numbers possible: $$n=36*odd=36*3=108$$ and $$n=36*odd=36*5=180$$. Two different answers, hence not sufficient.

(2) n/45 is an even integer --> $$\frac{n}{45}=even$$ --> $$n=45*even$$ --> $$n$$ is even multiple of 45 (basically a multiple of 90) in the range 100-200 --> there is only one such number possible: $$n=45*even=45*4=180$$ (as 45*2<100 and 45*6>200). Sufficient.

Answer: B.

Why not 90 in statement 2?

Cheers!
J

Kudos [?]: 719 [0], given: 355

Math Expert
Joined: 02 Sep 2009
Posts: 41889

Kudos [?]: 129207 [0], given: 12196

Re: Numbers [#permalink]

### Show Tags

05 Jan 2014, 16:06
jlgdr wrote:
Bunuel wrote:
RadhaKrishnan wrote:
If n is an integer and 100 < n <200, what is the value of n?

(1) n/36 is an odd integer.
(2) n/45 is an even integer.

If n is an integer and 100 < n <200, what is the value of n?

(1) n/36 is an odd integer --> $$\frac{n}{36}=odd$$ --> $$n=36*odd$$ --> $$n$$ is even multiple of 36 in the range 100-200 --> there are two such numbers possible: $$n=36*odd=36*3=108$$ and $$n=36*odd=36*5=180$$. Two different answers, hence not sufficient.

(2) n/45 is an even integer --> $$\frac{n}{45}=even$$ --> $$n=45*even$$ --> $$n$$ is even multiple of 45 (basically a multiple of 90) in the range 100-200 --> there is only one such number possible: $$n=45*even=45*4=180$$ (as 45*2<100 and 45*6>200). Sufficient.

Answer: B.

Why not 90 in statement 2?

Cheers!
J

Because we are told that 100 < n <200, 90 is not in the range.
_________________

Kudos [?]: 129207 [0], given: 12196

Current Student
Joined: 06 Sep 2013
Posts: 1978

Kudos [?]: 719 [1], given: 355

Concentration: Finance
Re: If n is an integer and 100 < n <200, what is the value of n? [#permalink]

### Show Tags

05 Jan 2014, 16:25
1
This post received
KUDOS
That was nasty. Thanks

Posted from my mobile device

Kudos [?]: 719 [1], given: 355

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16576

Kudos [?]: 273 [0], given: 0

Re: If n is an integer and 100 < n <200, what is the value of n? [#permalink]

### Show Tags

27 Jul 2015, 08:27
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 273 [0], given: 0

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16576

Kudos [?]: 273 [0], given: 0

Re: If n is an integer and 100 < n <200, what is the value of n? [#permalink]

### Show Tags

05 Oct 2016, 23:03
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 273 [0], given: 0

Director
Joined: 23 Jan 2013
Posts: 601

Kudos [?]: 22 [0], given: 41

Schools: Cambridge'16
Re: If n is an integer and 100 < n <200, what is the value of n? [#permalink]

### Show Tags

04 Jul 2017, 20:59
St.1: 36=2*2*3*3, so all multiples of 36 will be even. INSUFF

St.2: 45=5*3*3, multiple is even, only chance if the multiple ends 0 (divisible by 5). It can be 90,180 etc. SUFF

B

Kudos [?]: 22 [0], given: 41

Director
Joined: 13 Mar 2017
Posts: 524

Kudos [?]: 122 [0], given: 62

Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: If n is an integer and 100 < n <200, what is the value of n? [#permalink]

### Show Tags

07 Sep 2017, 02:26
RadhaKrishnan wrote:
If n is an integer and 100 < n <200, what is the value of n?

(1) n/36 is an odd integer.
(2) n/45 is an even integer.

It's a very simple question.
Given : 100<n<200
DS : value of n

Statement 1 : Let take odd multiple of 36. They are 36, 108, 180 .... So , 108, 180 lies between 100 and 200
NOT SUFFICIENT

Statement 2 : Let take even multiples of 45. They are 90, 180, ....... So only 180 lies between 100 and 200
SUFFICIENT

Answer B
_________________

MBA Social Network : WebMaggu

Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)

Kudos [?]: 122 [0], given: 62

Re: If n is an integer and 100 < n <200, what is the value of n?   [#permalink] 07 Sep 2017, 02:26
Display posts from previous: Sort by

# If n is an integer and 100 < n <200, what is the value of n?

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

 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®.