NEW HERE? LEARN MORE
closeclose
Last visit was: 23 Apr 2024, 13:20 It is currently 23 Apr 2024, 13:20
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

What is the least value of the positive integer n?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
kiran120680
Moderator - Masters Forum
Joined: 18 Feb 2019
Posts: 718
Own Kudos [?]: 2146 [19]
Given Kudos: 276
Location: India
Schools: AGSM '20 EDHEC Sept 2019 Intake Great Lakes '21 IE
GMAT 1: 460 Q42 V13
GPA: 3.6
Send PM
What is the least value of the positive integer n? [#permalink] New post   16 May 2019, 00:48
4
Kudos
14
Bookmarks
00:00
A
B
C
D
E

Difficulty:

95% (hard)

Question Stats:

43% (02:06) correct 57% (02:10) wrong based on 318 sessions
Hide Show timer Statistics
What is the least value of the positive integer n?

I. The units digit of n is equal to the units digit of sum of n and (n + 1).
II. n is the square of a single digit odd prime number.
ShowHide Answer
Official Answer
D
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8018
Own Kudos [?]: 4095 [1]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: What is the least value of the positive integer n? [#permalink] New post   17 May 2019, 02:55
1
Bookmarks
kiran120680 wrote:
What is the least value of the positive integer n?

I. The units digit of n is equal to the units digit of sum of n and (n + 1).
II. n is the square of a single digit odd prime number.


#1
The units digit of n is equal to the units digit of sum of n and (n + 1).
2n+1
for n= 9 only we get this relation satisfied
18+1 ; 19 unit digit is same as 9 single digit
sufficient
#2
n is the square of a single digit odd prime number
again true for value = 3,7 square ; 9,,25,49
least value is 9
sufficeint
IMO D
User avatar
G
m1033512
Senior Manager
Senior Manager
Joined: 25 Feb 2019
Posts: 280
Own Kudos [?]: 217 [0]
Given Kudos: 32
Send PM
Reviews Badge
Re: What is the least value of the positive integer n? [#permalink] New post   17 May 2019, 09:28
IMO D


from Statement 1 , we have n = 9,19,29 and n+1 = 10,20,30 among them the least is 9 sufficient

From Statement 2 ,

the square of single digit prime number which means n = 3 only , sufficient
avatar
B
Render
Intern
Intern
Joined: 10 Apr 2019
Posts: 15
Own Kudos [?]: 11 [0]
Given Kudos: 60
Send PM
Re: What is the least value of the positive integer n? [#permalink] New post   20 May 2019, 14:37
Archit3110 wrote:
kiran120680 wrote:
What is the least value of the positive integer n?

I. The units digit of n is equal to the units digit of sum of n and (n + 1).
II. n is the square of a single digit odd prime number.


#1
The units digit of n is equal to the units digit of sum of n and (n + 1).
2n+1
for n= 9 only we get this relation satisfied
18+1 ; 19 unit digit is same as 9 single digit
sufficient
#2
n is the square of a single digit odd prime number
again true for value = 3,7 square ; 9,,25,49
least value is 9
sufficeint
IMO D



Hi, could you clarify how exactly you arrived at the number \(n=9\)? Did you have to check every number from 0 to 9?

Thank you.
User avatar
L
nick1816
Retired Moderator
Joined: 19 Oct 2018
Posts: 1878
Own Kudos [?]: 6294 [0]
Given Kudos: 704
Location: India
Send PM
Re: What is the least value of the positive integer n? [#permalink] New post   21 May 2019, 04:09
Statement 1- If n has the same unit digit as that of the sum of n and n+1, then unit digit of n must be 9. (9+0=9)
The least positive integer whose unit digit is 9=9
Sufficient

Statement 2- n is square of single digit prime numbers. Possible values are 9, 25 and 49
Least value of n is 9
(sufficient)
User avatar
S
Karmesh
Manager
Manager
Joined: 18 Apr 2019
Posts: 68
Own Kudos [?]: 96 [2]
Given Kudos: 86
Location: India
Schools: IESE '22 CEIBS '22 (II)
GMAT 1: 720 Q48 V40
GPA: 4
Send PM
Re: What is the least value of the positive integer n? [#permalink] New post   21 Jun 2019, 09:41
1
Kudos
1
Bookmarks
Render wrote:
Archit3110 wrote:
kiran120680 wrote:
What is the least value of the positive integer n?

I. The units digit of n is equal to the units digit of sum of n and (n + 1).
II. n is the square of a single digit odd prime number.


#1
The units digit of n is equal to the units digit of sum of n and (n + 1).
2n+1
for n= 9 only we get this relation satisfied
18+1 ; 19 unit digit is same as 9 single digit
sufficient
#2
n is the square of a single digit odd prime number
again true for value = 3,7 square ; 9,,25,49
least value is 9
sufficeint
IMO D



Hi, could you clarify how exactly you arrived at the number \(n=9\)? Did you have to check every number from 0 to 9?

Thank you.


Since we know the number is 2n+1, we can conclude it is ODD. So, we have to check only the odd number i.e 1,3,5,7,9 [even number can't have the same units digit as an odd number]. It will hardly take 10-15 sec.
User avatar
L
CareerGeek
VP
VP
Joined: 20 Jul 2017
Posts: 1300
Own Kudos [?]: 3450 [0]
Given Kudos: 162
Location: India
Concentration: Entrepreneurship, Marketing
GMAT 1: 690 Q51 V30
WE:Education (Education)
Send PM
Re: What is the least value of the positive integer n? [#permalink] New post   21 Jun 2019, 12:00
kiran120680 wrote:
What is the least value of the positive integer n?

I. The units digit of n is equal to the units digit of sum of n and (n + 1).
II. n is the square of a single digit odd prime number.



I. The units digit of n is equal to the units digit of sum of n and (n + 1)

Units digit of n+1 should be 0
Different possibilities of n = 9, 19, 29, . . . .
Least value of n = 9

Sufficient

II. n is the square of a single digit odd prime number.
--> n = 3^2 = 9
Only 1 possibility, n = 3

Sufficient

IMO Option D

Pls Hit Kudos if you like the solution
avatar
B
mweber
Intern
Intern
Joined: 03 Jul 2018
Posts: 6
Own Kudos [?]: 2 [0]
Given Kudos: 6
Send PM
What is the least value of the positive integer n? [#permalink] New post   22 Jun 2019, 07:44
Hello, my original thinking when I read this problem was that you don't even need to solve anything because no matter what the conditions are, it asks for the least possible value therefore there is only going to be one value that satisfies the statements and thus each will be sufficient.. could someone confirm or deny this methodology? It almost seems too simple... Thanks!
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32626
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: What is the least value of the positive integer n? [#permalink] New post   12 Feb 2023, 12:43
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.
GMAT Club Bot
gmatclubot
Re: What is the least value of the positive integer n? [#permalink]
12 Feb 2023, 12:43
Moderator:
Bunuel
Math Expert
92882 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions