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

It is currently 14 Sep 2014, 18:11

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

What is the value of the two-digit positive integer n?

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Intern
Intern
avatar
Joined: 18 Mar 2012
Posts: 48
GMAT 1: 690 Q V
GPA: 3.7
Followers: 0

Kudos [?]: 31 [1] , given: 117

GMAT Tests User
What is the value of the two-digit positive integer n? [#permalink] New post 16 Mar 2013, 13:04
1
This post received
KUDOS
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

56% (02:50) correct 44% (01:30) wrong based on 179 sessions
What is the value of the two-digit positive integer n?

(1) When n is divided by 5, the remainder is equal to the tens digit of n.
(2) When n is divided by 9, the remainder is equal to the tens digit of n.
[Reveal] Spoiler: OA
1 KUDOS received
Manager
Manager
avatar
Joined: 14 Aug 2005
Posts: 87
Followers: 0

Kudos [?]: 6 [1] , given: 2

GMAT ToolKit User
Re: What is the value of the two-digit positive integer n? [#permalink] New post 16 Mar 2013, 13:13
1
This post received
KUDOS
alexpavlos wrote:
What is the value of the two-digit positive integer n?

(1) When n is divided by 5, the remainder is equal to the tens digit of n.

(2) When n is divided by 9, the remainder is equal to the tens digit of n.



Any help on this one would be much appreciated! Thanks


Take the LCM of 9 and 5 which is 45. Since remainder is tens digit, add 4 to 45 = 49

Now, 49/5 = 9 + remainder ->4
49/9 = 5 + remainder ->4
_________________

One Last Shot

Expert Post
8 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4751
Location: Pune, India
Followers: 1110

Kudos [?]: 5014 [8] , given: 164

Re: What is the value of the two-digit positive integer n? [#permalink] New post 18 Mar 2013, 02:05
8
This post received
KUDOS
Expert's post
alex1233 wrote:
What is the value of the two-digit positive integer n?

(1) When n is divided by 5, the remainder is equal to the tens digit of n.

(2) When n is divided by 9, the remainder is equal to the tens digit of n.



Any help on this one would be much appreciated! Thanks


Let's take each statement at a time.

(1) When n is divided by 5, the remainder is equal to the tens digit of n.
Think of a two digit number which is divisible by 5 - say 15. The remainder should be 1 so say n = 16.
Think of another number which is divisible by 5 - say 25. The remainder should be 2 so say n = 27
There will be more such numbers so we can see that this is certainly not sufficient.

(2) When n is divided by 9, the remainder is equal to the tens digit of n.
Think of a two digit number which is divisible by 9 - say 18. The remainder should be 1 so say n = 19.
Think of another number which is divisible by 9 - say 27. The remainder should be 2 so say n = 29
There will be more such numbers so we can see that this is certainly not sufficient.

What do we do when we consider both statements together?
We need to think of a number divisible by both 5 and 9, say 45 (their LCM). The remainder should be 4 so add 4 to 45 to get n = 49
Think of another number divisible by both which will be the next multiple of 45 i.e. 90. The remainder should be 9 but when we divide a number by 5, the remainder cannot be greater than 4. So n cannot be 99.
Hence, there is only one such two digit number i.e. n = 49.

Answer (C)
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews

Manager
Manager
avatar
Joined: 19 Aug 2012
Posts: 64
Followers: 1

Kudos [?]: 11 [0], given: 9

Re: What is the value of the two-digit positive integer n? [#permalink] New post 18 Mar 2013, 11:21
clearly statement 1 leads to many options and same to statement 2

now taking both the statements together.

it should be a no. which is common multiple of both 5 and 9 and also is 2 digit no. which has 10th place digit as reminder...
we have 9x5=45 so for reminder to be 4 the no. should be 49, which gives us reminder as 4. no other no. satisfies all the criteria mentioned in question.

clearly option C is answer
_________________

giving kudos is the best thing you can do for me..

2 KUDOS received
Manager
Manager
avatar
Joined: 20 Jun 2012
Posts: 96
Location: United States
Concentration: Finance, Operations
GMAT 1: 650 Q50 V28
GMAT 2: 700 Q50 V35
Followers: 1

Kudos [?]: 22 [2] , given: 42

GMAT ToolKit User
Re: What is the value of the two-digit positive integer n? [#permalink] New post 27 Jun 2013, 05:38
2
This post received
KUDOS
alex1233 wrote:
What is the value of the two-digit positive integer n?

(1) When n is divided by 5, the remainder is equal to the tens digit of n.

(2) When n is divided by 9, the remainder is equal to the tens digit of n.



Any help on this one would be much appreciated! Thanks


we really dont need any calculation in this question. This is quite conceptual. we know remainder of any number when divided by 5 can only be 1,2,3 or 4.

Its given remainder equals to tens digit. we'll take the four remainders one by one.

1 >> we know tens digit should be 1 so number could only be 11 OR 16.
2 >> we know tens digit should be 2 so number could only be 22 OR 27
3 >> we know tens digit should be 3 so number could only be 33 OR 38.
4 >> we know tens digit should be 4 so number could only be 44 OR 49.

we cant get an answer from st. 1.

we can do same reasoning for st. 2
1 >> 10,19
2 >> 20,29
3 >> 30,39
4 >> 40,49 .... so on .. also no point going forward. we found a match from st. 1(and in st. 1 we wrote all the possible outcomes, so possibility of another such no. is zero) .. the no. is 49.

hence C.
_________________

Forget Kudos ... be an altruist

SVP
SVP
User avatar
Joined: 06 Sep 2013
Posts: 1658
Location: United States
Concentration: Finance
GMAT 1: 710 Q48 V39
WE: Corporate Finance (Investment Banking)
Followers: 12

Kudos [?]: 164 [0], given: 267

GMAT ToolKit User
Re: What is the value of the two-digit positive integer n? [#permalink] New post 15 Feb 2014, 15:30
VeritasPrepKarishma wrote:
alex1233 wrote:
What is the value of the two-digit positive integer n?

(1) When n is divided by 5, the remainder is equal to the tens digit of n.

(2) When n is divided by 9, the remainder is equal to the tens digit of n.



Any help on this one would be much appreciated! Thanks


Let's take each statement at a time.

(1) When n is divided by 5, the remainder is equal to the tens digit of n.
Think of a two digit number which is divisible by 5 - say 15. The remainder should be 1 so say n = 16.
Think of another number which is divisible by 5 - say 25. The remainder should be 2 so say n = 27
There will be more such numbers so we can see that this is certainly not sufficient.

(2) When n is divided by 9, the remainder is equal to the tens digit of n.
Think of a two digit number which is divisible by 9 - say 18. The remainder should be 1 so say n = 19.
Think of another number which is divisible by 9 - say 27. The remainder should be 2 so say n = 29
There will be more such numbers so we can see that this is certainly not sufficient.

What do we do when we consider both statements together?
We need to think of a number divisible by both 5 and 9, say 45 (their LCM). The remainder should be 4 so add 4 to 45 to get n = 49
Think of another number divisible by both which will be the next multiple of 45 i.e. 90. The remainder should be 9 but when we divide a number by 5, the remainder cannot be greater than 4. So n cannot be 99.
Hence, there is only one such two digit number i.e. n = 49.

Answer (C)


Hi Karishma,

I'm a bit stucked with both statements together. How do you know that the remainder has to be 4 and not 1,2 or 3?

Could you please elaborate on this?

Many thanks!
Cheers
J
Expert Post
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4751
Location: Pune, India
Followers: 1110

Kudos [?]: 5014 [0], given: 164

Re: What is the value of the two-digit positive integer n? [#permalink] New post 16 Feb 2014, 19:55
Expert's post
jlgdr wrote:
VeritasPrepKarishma wrote:
alex1233 wrote:
What is the value of the two-digit positive integer n?

(1) When n is divided by 5, the remainder is equal to the tens digit of n.

(2) When n is divided by 9, the remainder is equal to the tens digit of n.



Any help on this one would be much appreciated! Thanks


Let's take each statement at a time.

(1) When n is divided by 5, the remainder is equal to the tens digit of n.
Think of a two digit number which is divisible by 5 - say 15. The remainder should be 1 so say n = 16.
Think of another number which is divisible by 5 - say 25. The remainder should be 2 so say n = 27
There will be more such numbers so we can see that this is certainly not sufficient.

(2) When n is divided by 9, the remainder is equal to the tens digit of n.
Think of a two digit number which is divisible by 9 - say 18. The remainder should be 1 so say n = 19.
Think of another number which is divisible by 9 - say 27. The remainder should be 2 so say n = 29
There will be more such numbers so we can see that this is certainly not sufficient.

What do we do when we consider both statements together?
We need to think of a number divisible by both 5 and 9, say 45 (their LCM). The remainder should be 4 so add 4 to 45 to get n = 49
Think of another number divisible by both which will be the next multiple of 45 i.e. 90. The remainder should be 9 but when we divide a number by 5, the remainder cannot be greater than 4. So n cannot be 99.
Hence, there is only one such two digit number i.e. n = 49.

Answer (C)


Hi Karishma,

I'm a bit stucked with both statements together. How do you know that the remainder has to be 4 and not 1,2 or 3?

Could you please elaborate on this?

Many thanks!
Cheers
J


The tens digit of 45 is 4.
45 is the first positive two digit number which is divisible by both 5 and 9.
So when n is divided by 5 or 9, the remainder should be 4 so n should be 49. The remainder will be 4 which is the tens digit of 49.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews

Re: What is the value of the two-digit positive integer n?   [#permalink] 16 Feb 2014, 19:55
    Similar topics Author Replies Last post
Similar
Topics:
4 Experts publish their posts in the topic What is the value of a two-digit positive integer n, where i fozzzy 4 17 Jun 2013, 00:38
What is the value of positive integer n? Madelaine88 6 28 Feb 2011, 01:31
If N is a two-digit positive integer, what is the value of tradinggenius 2 17 Jan 2011, 23:02
If n is a two-digit positive integer, what is the kevincan 9 23 Aug 2007, 06:04
Display posts from previous: Sort by

What is the value of the two-digit positive integer n?

  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®.