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

It is currently 13 Dec 2018, 07:39

R1 Admission Decisions:

Stanford Chat (Calls Started)  |  Wharton Chat  (Calls Expected Soon)  |  Fuqua Chat (Calls Expected Soon)


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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • The winning strategy for 700+ on the GMAT

     December 13, 2018

     December 13, 2018

     08:00 AM PST

     09:00 AM PST

    What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
  • GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

     December 14, 2018

     December 14, 2018

     09:00 AM PST

     10:00 AM PST

    10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.

How many integers between 1 and 1000 (inclusive) are divisible by 7

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

Hide Tags

Senior Manager
Senior Manager
avatar
G
Status: Countdown Begins...
Joined: 03 Jul 2016
Posts: 292
Location: India
Concentration: Technology, Strategy
Schools: IIMB
GMAT 1: 580 Q48 V22
GPA: 3.7
WE: Information Technology (Consulting)
GMAT ToolKit User Reviews Badge
How many integers between 1 and 1000 (inclusive) are divisible by 7  [#permalink]

Show Tags

New post Updated on: 21 Oct 2017, 09:54
2
4
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

42% (03:29) correct 58% (02:47) wrong based on 53 sessions

HideShow timer Statistics

How many integers between 1 and 1000 (inclusive) are divisible by 7 or 3 but not by 5?

A. 391

B. 343

C. 438

D. 466

E. 475


Source: Self - made

Originally posted by RMD007 on 21 Oct 2017, 02:05.
Last edited by RMD007 on 21 Oct 2017, 09:54, edited 2 times in total.
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7106
How many integers between 1 and 1000 (inclusive) are divisible by 7  [#permalink]

Show Tags

New post 21 Oct 2017, 02:30
1
2
RMD007 wrote:
How many integers between 1 and 1000 (inclusive) are divisible by 7 or 3 but not by 5?

A. 391

B. 419

C. 438

D. 466

E. 475


Source: Self - made



# div by 7 = 1000/7 = 142.8 = 142
# div by 3 = 1000/3 = 333.3 = 333
# div by both 7 and 3 = 1000/21 = 47
# div by both 7 and 5 = 1000/35 = 28
# div by 5 and 3 = 1000/15 = 66
# div by 3,5,7 = 1000/105 = 9

so for our answer
we add div by 7 and div by 3, thereafter subtract those div by both 7 and 3 as they have been added twice in the process..
Now they cannot contain div by 5, so we subtract div by both 7 and 5 and thereafter div by both 3 and 5..
But in the process some numbers are eliminated twice so we add multiple of all three -3,5, and 7.
ans 142+333-47-28-66+9=343..

pl relook into your answers
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Manager
Manager
avatar
B
Joined: 21 Jun 2014
Posts: 62
Re: How many integers between 1 and 1000 (inclusive) are divisible by 7  [#permalink]

Show Tags

New post 21 Oct 2017, 03:29
I am getting 390 as the answer.
333+142- (9+57+19) =390
333 = multiples of 3
142 = multiples of 7
9= multiples of 3,7,5
57 = multiples of 3,5 but not 7
19 = multiples of 5,7 but not 3

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app
Senior Manager
Senior Manager
avatar
G
Status: Countdown Begins...
Joined: 03 Jul 2016
Posts: 292
Location: India
Concentration: Technology, Strategy
Schools: IIMB
GMAT 1: 580 Q48 V22
GPA: 3.7
WE: Information Technology (Consulting)
GMAT ToolKit User Reviews Badge
Re: How many integers between 1 and 1000 (inclusive) are divisible by 7  [#permalink]

Show Tags

New post 21 Oct 2017, 22:09
Added correct answer choice! :)

Thanks !!
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7106
Re: How many integers between 1 and 1000 (inclusive) are divisible by 7  [#permalink]

Show Tags

New post 21 Oct 2017, 22:17
saicharan1191 wrote:
I am getting 390 as the answer.
333+142- (9+57+19) =390
333 = multiples of 3
142 = multiples of 7
9= multiples of 3,7,5
57 = multiples of 3,5 but not 7
19 = multiples of 5,7 but not 3

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app


hi..

when you ADD div by 3 and div by 7, it duplicates few numbers - COMMON multiple of 3 and 7 and these require to be SUBTRACTED from total, which you have missed out..
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

GMAT Club Bot
Re: How many integers between 1 and 1000 (inclusive) are divisible by 7 &nbs [#permalink] 21 Oct 2017, 22:17
Display posts from previous: Sort by

How many integers between 1 and 1000 (inclusive) are divisible by 7

  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®.