GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 21 Oct 2018, 21:00

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.

Close

Request Expert Reply

Confirm Cancel

There is a sequence where each term is a positive integer and at least

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Senior SC Moderator
User avatar
V
Joined: 14 Nov 2016
Posts: 1314
Location: Malaysia
GMAT ToolKit User Premium Member CAT Tests
There is a sequence where each term is a positive integer and at least  [#permalink]

Show Tags

New post 23 Feb 2017, 22:58
3
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

53% (02:19) correct 47% (01:53) wrong based on 51 sessions

HideShow timer Statistics

There is a sequence where each term is a positive integer and at least one of each digit of the term has 3 in an ascending order. What is the value of \(150^{th}\) term?

A. 326
B. 329
C. 342
D. 382
E. 392

_________________

"Be challenged at EVERY MOMENT."

“Strength doesn’t come from what you can do. It comes from overcoming the things you once thought you couldn’t.”

"Each stage of the journey is crucial to attaining new heights of knowledge."

Rules for posting in verbal forum | Please DO NOT post short answer in your post!

Advanced Search : https://gmatclub.com/forum/advanced-search/

Most Helpful Community Reply
Senior Manager
Senior Manager
User avatar
G
Joined: 19 Apr 2016
Posts: 274
Location: India
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE: Web Development (Computer Software)
There is a sequence where each term is a positive integer and at least  [#permalink]

Show Tags

New post 23 Feb 2017, 23:56
3
4
AustinKL wrote:
There is a sequence where each term is a positive integer and at least one of each digit of the term has 3 in an ascending order. What is the value of \(150^{th}\) term?

A. 326
B. 329
C. 342
D. 382
E. 392


19 terms have digit 3 from 1 to 99
19 terms have digit 3 from 100 to 199
19 terms have digit 3 from 200 to 299
90 terms have digit 3 from 300 to 389
last 3 terms - 390, 391 and 392

so \(150^{th}\) is 392

Hence option E is correct
Hit Kudos if you liked it 8-)
General Discussion
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12694
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: There is a sequence where each term is a positive integer and at least  [#permalink]

Show Tags

New post 12 Jan 2018, 14:28
Hi All,

This is a really poorly-worded question, but I think the 'intent' of this question is to describe an increasing sequence of positive integers in which every integer that includes at least one 3 among its digits is in the sequence (so the numbers 3, 33, 153, 337, etc. would all be in the sequence). Assuming that the first term in the sequence is "3", we're asked to find the 150th term in the sequence.

From 1 to 99, there are 19 terms that contain at least one '3' (you can list them out - it's not hard to find them)
From 100 to 199, there are 19 terms that contain at least one '3' (you can list them out if needed)
From 200 to 299, there are 19 terms that contain at least one '3' (you can list them out if needed)

So far, there are 3(19) = 57 terms accounted for. Once we hit 300, EVERY term in the next 100 terms will contain at least one '3', so we need to go 93 terms 'in' to this set of 100 terms to find that 150th term... Starting at 300, 93 terms in would be 392.

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Manager
Manager
User avatar
B
Joined: 09 Aug 2017
Posts: 213
Re: There is a sequence where each term is a positive integer and at least  [#permalink]

Show Tags

New post 24 Jan 2018, 05:11
1
"at least one of each digit of the term has 3 in an ascending order" is perplexing phrase, isn't it?
I understood sequence 3,13,23, 113,....
GMAT Club Bot
Re: There is a sequence where each term is a positive integer and at least &nbs [#permalink] 24 Jan 2018, 05:11
Display posts from previous: Sort by

There is a sequence where each term is a positive integer and at least

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.