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

It is currently 13 Oct 2019, 13:21

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 factorial (!) of a positive integer n denotes the product of all

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
User avatar
G
Joined: 13 May 2017
Posts: 114
Location: Finland
Concentration: Accounting, Entrepreneurship
GMAT 1: 530 Q42 V22
GMAT 2: 570 Q36 V31
GMAT 3: 600 Q42 V28
GPA: 3.14
WE: Account Management (Entertainment and Sports)
Reviews Badge
The factorial (!) of a positive integer n denotes the product of all  [#permalink]

Show Tags

New post 29 Oct 2018, 06:37
3
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

51% (01:03) correct 49% (01:27) wrong based on 90 sessions

HideShow timer Statistics

The factorial (!) of a positive integer n denotes the product of all integers from 1 to n, inclusive. If k = 1! + 2! + 3! + . . . + p! , where p is a prime number greater than 10, what is the remainder when k is divided by 4?

A. 0
B. 1
C. 2
D. 3
E. 9
Manager
Manager
avatar
G
Joined: 14 Jun 2018
Posts: 219
Re: The factorial (!) of a positive integer n denotes the product of all  [#permalink]

Show Tags

New post 29 Oct 2018, 07:20
Apart from 1! , 2! and 3! , everything else will be divisible by 4.
1+2+6=9
Remainder = 1
Manager
Manager
avatar
B
Joined: 29 May 2017
Posts: 125
Location: Pakistan
Concentration: Social Entrepreneurship, Sustainability
Re: The factorial (!) of a positive integer n denotes the product of all  [#permalink]

Show Tags

New post 08 Nov 2018, 19:23
pandeyashwin wrote:
Apart from 1! , 2! and 3! , everything else will be divisible by 4.
1+2+6=9
Remainder = 1



3!=6
r(6/4)=2
r(2!/4)=2
r(1!/4)=1

1+2+2=5

r(5/4)=1

is my method correct?
Manager
Manager
avatar
G
Joined: 14 Jun 2018
Posts: 219
Re: The factorial (!) of a positive integer n denotes the product of all  [#permalink]

Show Tags

New post 08 Nov 2018, 19:40
Mansoor50 wrote:
pandeyashwin wrote:
Apart from 1! , 2! and 3! , everything else will be divisible by 4.
1+2+6=9
Remainder = 1



3!=6
r(6/4)=2
r(2!/4)=2
r(1!/4)=1

1+2+2=5

r(5/4)=1

is my method correct?

yes it's the same approach. (Adding remainders instead of the numbers)
Manager
Manager
avatar
B
Joined: 29 May 2017
Posts: 125
Location: Pakistan
Concentration: Social Entrepreneurship, Sustainability
Re: The factorial (!) of a positive integer n denotes the product of all  [#permalink]

Show Tags

New post 08 Nov 2018, 19:46
pandeyashwin wrote:
Mansoor50 wrote:
pandeyashwin wrote:
Apart from 1! , 2! and 3! , everything else will be divisible by 4.
1+2+6=9
Remainder = 1



3!=6
r(6/4)=2
r(2!/4)=2
r(1!/4)=1

1+2+2=5

r(5/4)=1

is my method correct?

yes it's the same approach. (Adding remainders instead of the numbers)


thanks
Intern
Intern
avatar
B
Joined: 13 Mar 2018
Posts: 14
Premium Member
Re: The factorial (!) of a positive integer n denotes the product of all  [#permalink]

Show Tags

New post 10 Nov 2018, 00:48
Can someone kindly explain why everything apart from 1!, 2! and 3! is divisble by 4. May someone please share formula if any
Manager
Manager
avatar
G
Joined: 14 Jun 2018
Posts: 219
Re: The factorial (!) of a positive integer n denotes the product of all  [#permalink]

Show Tags

New post 10 Nov 2018, 00:52
2
SWAPNILP wrote:
Can someone kindly explain why everything apart from 1!, 2! and 3! is divisble by 4. May someone please share formula if any


2! = 2x1
3! = 3x2x1

4! = 4x3x2x1
5! = 5x4x3x2x1
6! = 6x5x4x3x2x1
and so on
GMAT Club Bot
Re: The factorial (!) of a positive integer n denotes the product of all   [#permalink] 10 Nov 2018, 00:52
Display posts from previous: Sort by

The factorial (!) of a positive integer n denotes the product of all

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





cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne