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

It is currently 22 Jul 2018, 04:02

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 are 120 ways to arrange the digits {1, 3, 5, 6, 7} to create a

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47168
There are 120 ways to arrange the digits {1, 3, 5, 6, 7} to create a  [#permalink]

Show Tags

New post 13 Apr 2018, 02:31
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

52% (02:59) correct 48% (01:01) wrong based on 62 sessions

HideShow timer Statistics

There are 120 ways to arrange the digits {1, 3, 5, 6, 7} to create a five-digit number such that each number is picked at random and can only be used once. If those five-digit numbers are listed in order from smallest to largest, what is the 26th term in the set?

A. 17,651
B. 31,567
C. 31,576
D. 31,657
E. 31,675

_________________

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

1 KUDOS received
Manager
Manager
User avatar
G
Joined: 16 Sep 2016
Posts: 225
WE: Analyst (Health Care)
Premium Member CAT Tests
Re: There are 120 ways to arrange the digits {1, 3, 5, 6, 7} to create a  [#permalink]

Show Tags

New post 13 Apr 2018, 02:42
1
1
Bunuel wrote:
There are 120 ways to arrange the digits {1, 3, 5, 6, 7} to create a five-digit number such that each number is picked at random and can only be used once. If those five-digit numbers are listed in order from smallest to largest, what is the 26th term in the set?

A. 17,651
B. 31,567
C. 31,576
D. 31,657
E. 31,675


There are 5! = 120 ways to arrange the digits to form 5-digit numbers.

While arranging from smallest to largest, the smallest numbers will begin with 1. 1(followed by 4! = 24) will be the first 24 5-digit numbers.

The 25th number will be the smallest number starting with 3. which will be 3 followed by rest digits in ascending order. { 31,567 is 25th term in set}

Hence the 26th term will be 31,576.

Hence Option (C) is our answer.

Best,
Gladi
Director
Director
avatar
G
Joined: 02 Oct 2017
Posts: 604
Re: There are 120 ways to arrange the digits {1, 3, 5, 6, 7} to create a  [#permalink]

Show Tags

New post 28 Apr 2018, 09:54
Take 13 _ _ _ 3!
15 _ _ _ 3!
16 _ _ _ 3!
17 _ _ _ 3!
This constitute 24 terms next term would start with 31
31567
Next would be 31576 this is 26 the term

Posted from my mobile device
Re: There are 120 ways to arrange the digits {1, 3, 5, 6, 7} to create a &nbs [#permalink] 28 Apr 2018, 09:54
Display posts from previous: Sort by

There are 120 ways to arrange the digits {1, 3, 5, 6, 7} to create a

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

Events & Promotions

PREV
NEXT


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®.