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

It is currently 23 Oct 2018, 06:59

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

In a list of numbers, each number after the first is exactly 1/3 the n

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50058
In a list of numbers, each number after the first is exactly 1/3 the n  [#permalink]

Show Tags

New post 04 Feb 2018, 21:14
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

77% (01:13) correct 23% (01:32) wrong based on 49 sessions

HideShow timer Statistics

In a list of numbers, each number after the first is exactly 1/3 the number immediately preceding it. If the fifth number in the list is 3, what is the second number in the sequence?

(A) 1/9

(B) 1/3

(C) 1

(D) 27

(E) 81

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Senior Manager
Senior Manager
User avatar
G
Joined: 17 Oct 2016
Posts: 322
Location: India
Concentration: Operations, Strategy
GPA: 3.73
WE: Design (Real Estate)
GMAT ToolKit User Premium Member
Re: In a list of numbers, each number after the first is exactly 1/3 the n  [#permalink]

Show Tags

New post 04 Feb 2018, 21:25
E

Let’s say x is the first number.
We have 5th number =x*3^(-4) =3
Solving for x,
X=243

Hence second number =81


Sent from my iPhone using GMAT Club Forum
_________________

Help with kudos if u found the post useful. Thanks

Intern
Intern
avatar
B
Joined: 21 Jan 2018
Posts: 5
GMAT 1: 740 Q49 V42
GPA: 3.8
Reviews Badge
Re: In a list of numbers, each number after the first is exactly 1/3 the n  [#permalink]

Show Tags

New post 04 Feb 2018, 21:38
E - can work backwards quickly in this case .

1/3X = 3 (where x is the fourth term), then X = 9. Continue to work backwards with this method, you'll find the 3rd term = 27 and the second term is 81.
Senior Manager
Senior Manager
User avatar
S
Status: love the club...
Joined: 24 Mar 2015
Posts: 267
Re: In a list of numbers, each number after the first is exactly 1/3 the n  [#permalink]

Show Tags

New post 19 Mar 2018, 22:02
Bunuel wrote:
In a list of numbers, each number after the first is exactly 1/3 the number immediately preceding it. If the fifth number in the list is 3, what is the second number in the sequence?

(A) 1/9

(B) 1/3

(C) 1

(D) 27

(E) 81



a5 = (a4)/3 = 3

a4 = 9

a4 = (a3) / 3 = 9

a3 = 27

a3 = (a2) /3 = 27

a2 = 81 = E the answer

thanks
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4098
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: In a list of numbers, each number after the first is exactly 1/3 the n  [#permalink]

Show Tags

New post 20 Mar 2018, 11:00
Bunuel wrote:
In a list of numbers, each number after the first is exactly 1/3 the number immediately preceding it. If the fifth number in the list is 3, what is the second number in the sequence?

(A) 1/9

(B) 1/3

(C) 1

(D) 27

(E) 81


\(5^{th}\) Number = 3
\(4^{th}\) Number = 9
\(3^{rd}\) Number = 27
\(2^{nd}\) Number = 81, Answer must be (E)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

GMAT Club Bot
Re: In a list of numbers, each number after the first is exactly 1/3 the n &nbs [#permalink] 20 Mar 2018, 11:00
Display posts from previous: Sort by

In a list of numbers, each number after the first is exactly 1/3 the n

  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®.