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

It is currently 22 Jan 2019, 09:00

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
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winners of the GMAT game show

     January 22, 2019

     January 22, 2019

     10:00 PM PST

     11:00 PM PST

    In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.
  • Key Strategies to Master GMAT SC

     January 26, 2019

     January 26, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

Quantitative :: Data sufficiency:: 04074 (MBA.com practice question)

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Intern
Intern
avatar
B
Joined: 27 Apr 2016
Posts: 12
Quantitative :: Data sufficiency:: 04074 (MBA.com practice question)  [#permalink]

Show Tags

New post 25 Jul 2018, 07:46
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

67% (00:07) correct 33% (01:31) wrong based on 3 sessions

HideShow timer Statistics

I really don't understand this question. Can anyone please help with solution?

Q: Does the integer k have a factor p such that 1 < p < k ?

(1) k > 4!
(2) 13! + 2 ≤ k ≤ 13! + 13

TIA
Archi
MBA Section Director
User avatar
V
Affiliations: GMATClub
Joined: 22 May 2017
Posts: 1952
Concentration: Nonprofit
GPA: 4
WE: Engineering (Computer Software)
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Quantitative :: Data sufficiency:: 04074 (MBA.com practice question)  [#permalink]

Show Tags

New post 25 Jul 2018, 08:08
1
Does the integer k have a factor p such that 1 < p < k ?

The question is indirectly asking whether k is a prime number or not. Think about the definition of prime number. A prime number is not divisible by any integer other than 1 and itself. So, there wont exist a factor p such that 1 < p < k

Statement 1

k > 4!

There are inifinite prime numbers > 4! So we cannot find a unique value for k

Statement 1 is not sufficient

Statement 2

13! + 2 ≤ k ≤ 13! + 13

Now k can have following values

13!+3, 13!+4, 13!+5, 13!+6, .... 13!+12

For each case

if k = 13! + 3 = (1 * 2 * 3 * .... * 12 * 13) + 3 = 3 * (1 * 2 * 4 * ..... * 12 * 13 + 1 )

=> 3 is a factor of k

=> k is not prime

if k = 13! + 4 = (1 * 2 * 3 * 4 * .... * 12 * 13) + 4 = 4 * (1 * 2 * 3 * 5 * ..... * 12 * 13 + 1 )

=> 4 is a factor of k

=> k is not prime

Similarly 5 is a factor of k = 13! + 5, 6 is a factor of k = 13! + 6 and so on

Hence K is not prime

Statement 2 is sufficient

Hence option B
_________________

New project wSTAT(which Schools To Apply To?)

GMATClub School Ambassador

Live Decision Tracker | Interview Debriefs

New - RC Butler - 2 RC's everyday

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52386
Re: Quantitative :: Data sufficiency:: 04074 (MBA.com practice question)  [#permalink]

Show Tags

New post 25 Jul 2018, 09:34
archimaitreya25 wrote:
I really don't understand this question. Can anyone please help with solution?

Q: Does the integer k have a factor p such that 1 < p < k ?

(1) k > 4!
(2) 13! + 2 ≤ k ≤ 13! + 13

TIA
Archi


This question is discussed here: https://gmatclub.com/forum/quantitative ... 71512.html

Please search before posting and name topics properly.

TOPIC IS LOCKED AND ARCHIVED.
_________________

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

GMAT Club Bot
Re: Quantitative :: Data sufficiency:: 04074 (MBA.com practice question) &nbs [#permalink] 25 Jul 2018, 09:34
Display posts from previous: Sort by

Quantitative :: Data sufficiency:: 04074 (MBA.com practice question)

  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®.