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

It is currently 15 Oct 2018, 14:54

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

The manager of a certain company gives its employees one rostered day

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

Hide Tags

Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6361
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
The manager of a certain company gives its employees one rostered day  [#permalink]

Show Tags

New post 26 Dec 2017, 01:53
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

44% (01:58) correct 56% (01:18) wrong based on 49 sessions

HideShow timer Statistics

[GMAT math practice question]

The manager of a certain company gives its employees one rostered day off between Monday and Friday each week. In how many ways can four employees take their leave, if they cannot all be rostered off together?

A. \(120\)
B. \(125\)
C. \(620\)
D. \(625\)
E. \(3125\)

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

PS Forum Moderator
avatar
D
Joined: 25 Feb 2013
Posts: 1218
Location: India
GPA: 3.82
GMAT ToolKit User Premium Member Reviews Badge
The manager of a certain company gives its employees one rostered day  [#permalink]

Show Tags

New post 26 Dec 2017, 08:46
MathRevolution wrote:
[GMAT math practice question]

The manager of a certain company gives its employees one rostered day off between Monday and Friday each week. In how many ways can four employees take their leave, if they cannot all be rostered off together?

A. \(120\)
B. \(125\)
C. \(620\)
D. \(625\)
E. \(3125\)


If there were no restriction on leave, then total number of ways 4 employees can take their leaves will be

\(5*5*5*5=625\) (each of the 4 employees has 5 options to choose from)

Number of ways in which all the employees are on leave on the same day\(=5\) ( everybody is on leave on Monday, Tuesday, Wednesday, Thursday or Friday)

Hence number of ways in which leaves can be taken such that not all are restored off together\(=625-5=620\)

Option C
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6361
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
Re: The manager of a certain company gives its employees one rostered day  [#permalink]

Show Tags

New post 28 Dec 2017, 00:32
=>

Each employee may be rostered off on \(5\) different days. This gives \(5^4 = 625\) ways in which they can take their rostered days off. We need to exclude the cases where are all employees take their leave together on Monday, Tuesday, Wednesday, Thursday or Friday. There are 5 such cases.

So, the number of ways in which the four employees can take their leave is \(625 – 5 = 620\).

Therefore, the answer is C.

Answer: C
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

GMAT Club Bot
Re: The manager of a certain company gives its employees one rostered day &nbs [#permalink] 28 Dec 2017, 00:32
Display posts from previous: Sort by

The manager of a certain company gives its employees one rostered day

  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®.