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

It is currently 20 Feb 2019, 09:38
Register
GMAT Club Tests
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

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
Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar

  • Free GMAT Prep Hour

     February 20, 2019

     February 20, 2019

     08:00 PM EST

     09:00 PM EST

    Strategies and techniques for approaching featured GMAT topics. Wednesday, February 20th at 8 PM EST
    GMAT: Verbal | GMAT: Quantitative | Free

  • Online GMAT boot camp for FREE

     February 21, 2019

     February 21, 2019

     10:00 PM PST

     11:00 PM PST

    Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.
    GMAT: Verbal | GMAT: Quantitative | Free
CLICK HERE TO HIDE/SHOW EVENTS

What is the greatest integer, k, such that 5^k is a factor of the prod

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
  Sort by Date Sort by Kudos  
Search for:
 
Print view
First unread post
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 53020
Premium Member
Top Member of the Month
What is the greatest integer, k, such that 5^k is a factor of the prod  [#permalink]

Show Tags

New post 24 Jan 2019, 02:29
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

81% (00:52) correct 19% (01:03) wrong based on 26 sessions

HideShow timer Statistics

What is the greatest integer, k, such that 5^k is a factor of the product of the integers from 1 through 24, inclusive?

A 1
B 2
C 3
D 4
E 5
Spoiler: OA

_________________

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

VP
VP
User avatar
P
Joined: 31 Oct 2013
Posts: 1138
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: What is the greatest integer, k, such that 5^k is a factor of the prod  [#permalink]

Show Tags

New post 24 Jan 2019, 02:45
Bunuel wrote:
What is the greatest integer, k, such that 5^k is a factor of the product of the integers from 1 through 24, inclusive?

A 1
B 2
C 3
D 4
E 5



product of the integers from 1 to 24 = 24!

5^k is a factor of 24!.

greatest value of k.

24/5 = 4.

D is the correct answer.

For clear view, read club's mega thread.
SVP
SVP
User avatar
G
Joined: 18 Aug 2017
Posts: 1880
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: What is the greatest integer, k, such that 5^k is a factor of the prod  [#permalink]

Show Tags

New post 24 Jan 2019, 03:44
Bunuel wrote:
What is the greatest integer, k, such that 5^k is a factor of the product of the integers from 1 through 24, inclusive?

A 1
B 2
C 3
D 4
E 5



to determine the 5^k factor ; value of k
24!/5 = 4

IMO D
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

e-GMAT Representative
User avatar
D
Joined: 04 Jan 2015
Posts: 2581

Top Member of the Month
Re: What is the greatest integer, k, such that 5^k is a factor of the prod  [#permalink]

Show Tags

New post 24 Jan 2019, 03:58
1

Solution


Given:
    • \(5^k\) is a factor of the product of the integers from 1 through 24, inclusive

To find:
    • The greatest integer value of k

Approach and Working:
    • k = the number of 5’s in 24!
    • Implies, k = \([\frac{24}{5}] + [\frac{24}{25}] = 4 + 0 = 4\)

Therefore, the maximum possible value of k = 4

Hence, the correct answer is Option D

Answer: D

Image

_________________








Register for free sessions
Number Properties:- Get 5 free video lessons, 50 practice questions | Algebra:-Get 4 free video lessons, 40 practice questions
Quant Workshop:- Get 100 practice questions | Free Strategy Weession:- Key strategy to score 760

Success Stories
Q38 to Q50 | Q35 to Q50 | More Success Stories

Ace GMAT
Articles and Question to reach Q51 | Question of the week | Tips From V40+ Scoreres | V27 to V42:- GMAT 770 | Guide to Get into ISB-MBA

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com
GMAT Club Bot
Re: What is the greatest integer, k, such that 5^k is a factor of the prod   [#permalink] 24 Jan 2019, 03:58
Print view
First unread post
Display posts from previous: Sort by

What is the greatest integer, k, such that 5^k is a factor of the prod

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

Moderators: chetan2u, VeritasKarishma, Gladiator59, Bunuel, generis

Search for:


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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions