NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 18:57 It is currently 24 Apr 2024, 18:57
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

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

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
chiccufrazer1
Manager
Manager
Joined: 04 Jan 2013
Posts: 65
Own Kudos [?]: 57 [11]
Given Kudos: 1
Send PM
How many numbers between 200 and 400 begin or end with 3? [#permalink] New post   Updated on: 21 Mar 2013, 03:23
2
Kudos
9
Bookmarks
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

58% (01:17) correct 42% (01:15) wrong based on 441 sessions
Hide Show timer Statistics
How many numbers between 200 and 400 begin or end with 3?

A. 20
B. 60
C. 100
D. 110
E. 120
ShowHide Answer
Official Answer
D

Originally posted by chiccufrazer1 on 20 Mar 2013, 18:21.
Last edited by Bunuel on 21 Mar 2013, 03:23, edited 1 time in total.
Renamed the topic and edited the question.
Most Helpful Reply
avatar
Abhii46
Manager
Manager
Joined: 12 Mar 2012
Posts: 66
Own Kudos [?]: 523 [14]
Given Kudos: 22
Location: India
Concentration: Technology, Strategy
Schools: ISB '15 HKUST '16 Kelley '16 NUS '15 Duke '16
GMAT 1: 710 Q49 V36
GPA: 3.2
WE:Information Technology (Computer Software)
Send PM
Re: how many numbers between 200 and 400 [#permalink] New post   20 Mar 2013, 18:35
14
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
Answer is D.

Kindly give a kudo if you like my explanation.
General Discussion
User avatar
johnwesley
Manager
Manager
Joined: 24 Jan 2013
Posts: 62
Own Kudos [?]: 371 [3]
Given Kudos: 6
Send PM
Re: How many numbers between 200 and 400 begin or end with 3? [#permalink] New post   23 Mar 2013, 07:41
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.

Answer: D
avatar
B
venstein
Intern
Intern
Joined: 09 Jun 2017
Posts: 7
Own Kudos [?]: 4 [1]
Given Kudos: 55
Send PM
Re: How many numbers between 200 and 400 begin or end with 3? [#permalink] New post   07 Aug 2017, 09:41
1
Kudos
Dear all, isn't the question asking for all the numbers that either begin OR end with 3? In this case, shouldn't we be subtracting the numbers which do both, begin AND end with 3? 10 (ten numbers between 200 and 299)+100 (numbers between 300 and 399)-10 (ten numbers between 300 and 399, which begin AND end with 3)?
User avatar
MzJavert
Manager
Manager
Joined: 22 Apr 2013
Posts: 71
Own Kudos [?]: 56 [0]
Given Kudos: 95
Send PM
Re: how many numbers between 200 and 400 [#permalink] New post   17 May 2013, 22:12
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
Answer is D.

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.
User avatar
VeritasPrepRon
Veritas Prep GMAT Instructor
Joined: 11 Dec 2012
Posts: 310
Own Kudos [?]: 633 [0]
Given Kudos: 66
Send PM
Re: how many numbers between 200 and 400 [#permalink] New post   17 May 2013, 22:22
Expert Reply
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
Answer is D.


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
User avatar
ygdrasil24
Manager
Manager
Joined: 07 Apr 2012
Posts: 71
Own Kudos [?]: 25 [0]
Given Kudos: 45
Location: United States
Concentration: Entrepreneurship, Operations
Schools: ISB '15
GMAT 1: 590 Q48 V23
GPA: 3.9
WE:Operations (Manufacturing)
Send PM
Re: How many numbers between 200 and 400 begin or end with 3? [#permalink] New post   04 Sep 2013, 07:47
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.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32657
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: How many numbers between 200 and 400 begin or end with 3? [#permalink] New post   27 Apr 2023, 04:10
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: How many numbers between 200 and 400 begin or end with 3? [#permalink]
27 Apr 2023, 04:10
Moderators:
Bunuel
Math Expert
92900 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 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