Last visit was: 30 Apr 2026, 09:39 It is currently 30 Apr 2026, 09:39
Home
Messages
Tests
Schools
Events
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
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 30 Apr 2026
Posts: 110,009
Own Kudos:
812,117
 [11]
Given Kudos: 105,961
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 110,009
Kudos: 812,117
 [11]
If n is a positive integer, what is the value of the hundreds digit of 19 Nov 2017, 23:40
2
Kudos
Add Kudos
9
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

68% (01:25) correct 32% (01:29) wrong based on 289 sessions

History

Date
Time
Result
Not Attempted Yet
If n is a positive integer, what is the value of the hundreds digit of 30^n ?

(1) 30^n > 1000
(2) n is a multiple of 3
ShowHide Answer
Official Answer
D
User avatar
Alexey1989x
User avatar
Joined: 05 Dec 2016
Last visit: 20 May 2023
Posts: 187
Own Kudos:
98
 [1]
Given Kudos: 49
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
GMAT 1: 620 Q46 V29
Posts: 187
Kudos: 98
 [1]
If n is a positive integer, what is the value of the hundreds digit of 20 Nov 2017, 00:21
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
(1) we can deduce that n>2
30^3=27000
Hundreds digit is Zero
(2) Lowest multiple is 3, so again we can find that hundreds digit is Zero
Answer D
avatar
kimiah39
avatar
Joined: 25 Nov 2017
Last visit: 09 Aug 2018
Posts: 3
Given Kudos: 1
Posts: 3
Kudos: 0
If n is a positive integer, what is the value of the hundreds digit of 27 Nov 2017, 18:16
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Isn't 0 a multiple of 3 though?
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 30 Apr 2026
Posts: 11,236
Own Kudos:
45,053
 [1]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,236
Kudos: 45,053
 [1]
If n is a positive integer, what is the value of the hundreds digit of 27 Nov 2017, 18:18
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
kimiah39
Isn't 0 a multiple of 3 though?
Show more


Yes, 0 is a multiple of 3, but 0 is not a positive integer and it is given that n is a positive integer..
so n cannot be 0
avatar
kimiah39
avatar
Joined: 25 Nov 2017
Last visit: 09 Aug 2018
Posts: 3
Given Kudos: 1
Posts: 3
Kudos: 0
If n is a positive integer, what is the value of the hundreds digit of 27 Nov 2017, 18:21
Kudos
Add Kudos
Bookmarks
Bookmark this Post
chetan2u
kimiah39
Isn't 0 a multiple of 3 though?


Yes, 0 is a multiple of 3, but 0 is not a positive integer and it is given that n is a positive integer..
so n cannot be 0
Show more

oh okay great thank you!
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 30 Apr 2026
Posts: 110,009
Own Kudos:
812,117
 [2]
Given Kudos: 105,961
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 110,009
Kudos: 812,117
 [2]
If n is a positive integer, what is the value of the hundreds digit of 27 Nov 2017, 21:11
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
kimiah39
Isn't 0 a multiple of 3 though?
Show more

1. 0 is an integer.

2. 0 is an even integer. An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even.

3. 0 is neither positive nor negative integer (the only one of this kind).

4. 0 is divisible by EVERY integer except 0 itself.

For more check below:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread

Hope it helps.
User avatar
merajul
User avatar
Joined: 05 Oct 2014
Last visit: 10 Feb 2024
Posts: 128
Own Kudos:
40
 [2]
Given Kudos: 229
Location: India
Concentration: General Management, Strategy
GMAT Date: 07-23-2015
GMAT 1: 580 Q41 V28
GPA: 3.8
WE:Project Management (Energy)
GMAT 1: 580 Q41 V28
Posts: 128
Kudos: 40
 [2]
If n is a positive integer, what is the value of the hundreds digit of 02 Nov 2019, 04:55
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
If n is a positive integer, what is the value of the hundreds digit of 30^n ?

(1) 30^n > 1000
(2) n is a multiple of 3


30^1 =30 <1000
30^2=900 <1000
30^3=27000 >1000
30^4=540000 >1000
30^5=24300000 >1000
30^6=729000000 >1000

In any case hundreds digit is "0". So the correct option D
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,003
Own Kudos:
1,122
Posts: 39,003
Kudos: 1,122
If n is a positive integer, what is the value of the hundreds digit of 24 Apr 2022, 07:39
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
110009 posts
kingbucky
498 posts
Gmat860sanskar
212 posts