How many numbers between 200 and 400 begin or end with 3? : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 22 Jan 2017, 22:41

### 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

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

# How many numbers between 200 and 400 begin or end with 3?

Author Message
TAGS:

### Hide Tags

Manager
Joined: 04 Jan 2013
Posts: 80
Followers: 0

Kudos [?]: 8 [1] , given: 1

How many numbers between 200 and 400 begin or end with 3? [#permalink]

### Show Tags

20 Mar 2013, 17:21
1
KUDOS
1
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

50% (01:53) correct 50% (00:48) wrong based on 265 sessions

### HideShow timer Statistics

How many numbers between 200 and 400 begin or end with 3?

A. 20
B. 60
C. 100
D. 110
E. 120
[Reveal] Spoiler: OA

Last edited by Bunuel on 21 Mar 2013, 02:23, edited 1 time in total.
Renamed the topic and edited the question.
Manager
Joined: 12 Mar 2012
Posts: 94
Location: India
Concentration: Technology, Strategy
GMAT 1: 710 Q49 V36
GPA: 3.2
WE: Information Technology (Computer Software)
Followers: 9

Kudos [?]: 317 [9] , given: 22

Re: how many numbers between 200 and 400 [#permalink]

### Show Tags

20 Mar 2013, 17:35
9
KUDOS
There will be 10 numbers from 200 to 299 that will end with 3 ( 203, 213, 223........ 293 ).
There will be 100 numbers from 300 to 400 that will begin with 3, we will not count the numbers that will end with because they will be repeated.
Total numbers = 10 + 100 = 110

Kindly give a kudo if you like my explanation.
Manager
Joined: 24 Jan 2013
Posts: 79
Followers: 5

Kudos [?]: 131 [3] , given: 6

Re: How many numbers between 200 and 400 begin or end with 3? [#permalink]

### Show Tags

23 Mar 2013, 06:41
3
KUDOS
"How many numbers between 200 and 400 begin or end with 3?"

Just think that those numbers are:

i) The ones ending in 3: 203, 213, 223, ... , 393 --> 20 numbers

ii) The ones beginning in 3: 300, 301, 302, 303, ... , 393, ... , 399 --> 100 numbers

BUT 10 out of the first 20 numbers are repeated in the second set.

THEREFORE, the solution is 110 numbers.

Manager
Joined: 22 Apr 2013
Posts: 88
Followers: 1

Kudos [?]: 28 [0], given: 95

Re: how many numbers between 200 and 400 [#permalink]

### Show Tags

17 May 2013, 21:12
Abhii46 wrote:
There will be 10 numbers from 200 to 299 that will end with 3 ( 203, 213, 223........ 293 ).
There will be 100 numbers from 300 to 400 that will begin with 3, we will not count the numbers that will end with because they will be repeated.
Total numbers = 10 + 100 = 110

Kindly give a kudo if you like my explanation.

I would have fallen into a trap on that one...I was thinking units and tens positions.
_________________

I do not beg for kudos.

Veritas Prep GMAT Instructor
Joined: 11 Dec 2012
Posts: 313
Followers: 109

Kudos [?]: 270 [0], given: 66

Re: how many numbers between 200 and 400 [#permalink]

### Show Tags

17 May 2013, 21:22
MzJavert wrote:
Abhii46 wrote:
There will be 10 numbers from 200 to 299 that will end with 3 ( 203, 213, 223........ 293 ).
There will be 100 numbers from 300 to 400 that will begin with 3, we will not count the numbers that will end with because they will be repeated.
Total numbers = 10 + 100 = 110

I would have fallen into a trap on that one...I was thinking units and tens positions.

I agree, it's pretty easy to see that all the 300s will count, so the answer needs to be 100 or more, but then a lot of people will fall into the trap of picking 120 instead of 110. The 230s don't count (except for 233), but there could have easily been a question asking how many of these numbers contain at least one 3. Always important to reread the question before answering in order to avoid falling into some of the traps the exam has laid out for you.

Hope this helps!
-Ron
_________________
Manager
Joined: 07 Apr 2012
Posts: 126
Location: United States
Concentration: Entrepreneurship, Operations
Schools: ISB '15
GMAT 1: 590 Q48 V23
GPA: 3.9
WE: Operations (Manufacturing)
Followers: 0

Kudos [?]: 10 [0], given: 45

Re: How many numbers between 200 and 400 begin or end with 3? [#permalink]

### Show Tags

04 Sep 2013, 06:47
The first number is 203, thereafter only possible case is numbers ending with 3. 3 repeats itself after every 10 digits
so between 200 and 299, periodicity of numbers ending with 3 is 10, so there are 10 such numbers 303,313......393

All numbers between 300-399, are starting with 3, so a total of 99-0+1 = 100 numbers.
So total numbers is 110.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13508
Followers: 577

Kudos [?]: 163 [0], given: 0

Re: How many numbers between 200 and 400 begin or end with 3? [#permalink]

### Show Tags

30 Aug 2015, 14:16
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.
_________________
Re: How many numbers between 200 and 400 begin or end with 3?   [#permalink] 30 Aug 2015, 14:16
Similar topics Replies Last post
Similar
Topics:
2 Between 100 and 200, how many numbers are there in which one digit is 2 08 Jun 2016, 10:55
11 How many prime numbers exist between 200 and 220? 13 03 Oct 2014, 23:51
how many of the integers between 1 and 400 1 26 Nov 2011, 06:16
2 271. How many 3-digit numbers begin with a prime digit and e 6 11 Mar 2011, 11:53
31 How many 3-digit integers between 100 and 200 have a digit 17 19 Dec 2007, 05:53
Display posts from previous: Sort by