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

It is currently 20 Feb 2019, 09:40

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 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
  • 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.

How many positive integers between 200 and 300 (both inclusive) are no

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 53020
How many positive integers between 200 and 300 (both inclusive) are no  [#permalink]

Show Tags

New post 03 Feb 2019, 21:35
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

53% (02:02) correct 47% (02:52) wrong based on 24 sessions

HideShow timer Statistics

Manager
Manager
User avatar
G
Joined: 11 Dec 2013
Posts: 114
Location: India
GMAT Date: 03-15-2015
WE: Education (Education)
GMAT ToolKit User
How many positive integers between 200 and 300 (both inclusive) are no  [#permalink]

Show Tags

New post 03 Feb 2019, 21:52
1
1
Divisible by 2 = \(\frac{300-200}{2} +1 = 51\)
Divisible by 3 = \(\frac{300-201}{2} +1 = 34\)
Divisible by 5 = \(\frac{300-200}{5} +1 = 21\)
Divisible by 2 and 3 =\(\frac{300-204}{6} +1 = 17\)
Divisible by 3 and 5 = \(\frac{300-210}{15} +1 = 7\)
Divisible by 5 and 2 = \(\frac{300-200}{10} +1 = 11\)
Divisible by 2,3 and 5 = \(\frac{300-210}{30} +1 = 4\)
positive integers that are not divisible by 2, 3 or 5 = \(101 - (51+34+21) + (17+7+11) - 4 = 26\)
IMO D
_________________

KUDOS will increase your score

VP
VP
avatar
G
Joined: 09 Mar 2018
Posts: 1001
Location: India
Re: How many positive integers between 200 and 300 (both inclusive) are no  [#permalink]

Show Tags

New post 03 Feb 2019, 22:16
Bunuel wrote:
How many positive integers between 200 and 300 (both inclusive) are not divisible by 2, 3 or 5?

A. 3
B. 16
C. 24
D. 26
E. 75


IMO D

Total numbers will be 101 (300-200+1)

Not divisible will be, if we can find the numbers divisible by 2, 3 or 5, we can subtract it from Total number

Since the terms will be in an AP, we can use \(a_n\)= a + (n-1)d

Divisible by 2 = 300-200/2 +1 =51

Divisible by 3 = 300-201/3 + 1 = 34

Divisible by 5 = 300-200/5 + 1 = 21

Divisible by 2 or 3 = 300-204/6 + 1 = 17

Divisible by 2 or 5 = 300-200/10 + 1 = 11

Divisible by 3 or 5 = 300-210/15 + 1 = 7

Divisible by 2 ,3 or 5 = 300-210/30 + 1 = 4

101 - (Divisible by all 3) + (common terms of 2) - ( Common terms of all three)
101 -( 51 + 34+21) + (17+11+7) - 4
136- 110
26
_________________

If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.

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
How many positive integers between 200 and 300 (both inclusive) are no  [#permalink]

Show Tags

New post 04 Feb 2019, 00:56
Bunuel wrote:
How many positive integers between 200 and 300 (both inclusive) are not divisible by 2, 3 or 5?

A. 3
B. 16
C. 24
D. 26
E. 75


total integers = 300-200+1 ; 101
+ve integers divisible by 2 = 51
integers divisible by 3 = 34
integers divisible by 5 = 21

integers divisible by both 2& 3 = half of integers divisible by 3 ' ie even integers divisible by 3' ; 17
integers divisible by both 2& 5 = half of integers divisible by 5 ' ie even integers divisible by 5'; 11
integers divisible by 3 & 5 both = 225,255,285 ; 3

so total integers divisible by 2,3 & 5 = (51-17-11)+ ( 34-3) + 21 = 75
integers not divisible by 2,3,5 would be 101- 75 = 26
IMO D
_________________

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

GMAT Club Bot
How many positive integers between 200 and 300 (both inclusive) are no   [#permalink] 04 Feb 2019, 00:56
Display posts from previous: Sort by

How many positive integers between 200 and 300 (both inclusive) are no

  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®.