NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 09:40 It is currently 24 Apr 2024, 09:40
Decision Tracker
My Rewards
New posts
New comers' posts

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

How many integers between 1 and 200, inclusive, are divisible by both

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92902
Own Kudos [?]: 618770 [2]
Given Kudos: 81587
Send PM
CAT Tests Forum Quiz Mode
How many integers between 1 and 200, inclusive, are divisible by both [#permalink] New post   11 Jul 2019, 02:51
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

85% (01:19) correct 15% (01:33) wrong based on 187 sessions
Hide Show timer Statistics
How many integers between 1 and 200, inclusive, are divisible by both 3 and 4?

A. 8

B. 12

C. 15

D. 16

E. 24
ShowHide Answer
Official Answer
D
User avatar
G
Mohammadmo
Senior Manager
Senior Manager
Joined: 29 Jun 2019
Posts: 358
Own Kudos [?]: 215 [0]
Given Kudos: 16
Send PM
Re: How many integers between 1 and 200, inclusive, are divisible by both [#permalink] New post   11 Jul 2019, 03:00
In this sequence we need just numbers which are divisible by 12.
Totally we have 200 numbers.
200/12 ~=16
Option (D)

Posted from my mobile device
User avatar
L
Kinshook
GMAT Club Legend
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5343
Own Kudos [?]: 3964 [2]
Given Kudos: 160
Location: India
Schools: HBS '22 CBS '22 Wharton '22
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Send PM
Reviews Badge
Re: How many integers between 1 and 200, inclusive, are divisible by both [#permalink] New post   11 Jul 2019, 03:04
2
Kudos
Bunuel wrote:
How many integers between 1 and 200, inclusive, are divisible by both 3 and 4?

A. 8

B. 12

C. 15

D. 16

E. 24


# of integers divisible by both 3 & 4 are divisible by 12

= [200/12] = 16

IMO D
User avatar
G
jbrandl1
Intern
Intern
Joined: 14 Nov 2018
Posts: 32
Own Kudos [?]: 65 [0]
Given Kudos: 94
Location: Austria
GMAT 1: 750 Q47 V46 (Online)
Send PM
How many integers between 1 and 200, inclusive, are divisible by both [#permalink] New post   11 Jul 2019, 03:11
In order to make this process work for all cases, would the best approach be to

First, find the least common multiple (“LCM”)of the two numbers 3 and 4, then divide by the LCM?

The answer would be the same (explained above).

Posted from my mobile device
avatar
B
ashudhall
Manager
Manager
Joined: 27 Mar 2016
Posts: 74
Own Kudos [?]: 61 [0]
Given Kudos: 4
GMAT 1: 590 Q44 V22
Send PM
GMAT ToolKit User
Re: How many integers between 1 and 200, inclusive, are divisible by both [#permalink] New post   11 Jul 2019, 03:18
It has to be multiple of 12 and there are 16 multiples of 12
Hence 16

Posted from my mobile device
User avatar
S
Woody19
Intern
Intern
Joined: 03 Mar 2016
Posts: 29
Own Kudos [?]: 53 [2]
Given Kudos: 141
Send PM
Re: How many integers between 1 and 200, inclusive, are divisible by both [#permalink] New post   11 Jul 2019, 05:03
2
Kudos
Q. How many integers between 1 and 200, inclusive, are divisible by both 3 and 4?

LCM of 3 and 4 is 12.

We need to look for multiples of 12 up to 200.

First multiple of 12 is 12.
Last multiple of 12 is 192

Total integers = (192 - 12)/12 + 1 => 15+1 = 16.

Ans - D.
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8019
Own Kudos [?]: 4095 [0]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: How many integers between 1 and 200, inclusive, are divisible by both [#permalink] New post   11 Jul 2019, 11:14
Bunuel wrote:
How many integers between 1 and 200, inclusive, are divisible by both 3 and 4?

A. 8

B. 12

C. 15

D. 16

E. 24


LCM of 3,4 = 12 so
integers divisible from 1 to 200 ; 200/12 ; 16
IMO D
User avatar
S
GeorgeKo111
Manager
Manager
Joined: 21 Jun 2019
Posts: 83
Own Kudos [?]: 73 [0]
Given Kudos: 39
Location: Canada
Concentration: Finance, Accounting
GMAT 1: 670 Q48 V34
GPA: 3.78
Send PM
Re: How many integers between 1 and 200, inclusive, are divisible by both [#permalink] New post   11 Jul 2019, 14:32
we have to find the LCM for both 3 and 4.

least common multiple is 3x4=12

first multiple=12
last multiple =12x16=192

total number of integers =(192 - 12)/12 + 1 =16 ==> choice D
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18754
Own Kudos [?]: 22044 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: How many integers between 1 and 200, inclusive, are divisible by both [#permalink] New post   12 Jul 2019, 18:58
Expert Reply
Bunuel wrote:
How many integers between 1 and 200, inclusive, are divisible by both 3 and 4?

A. 8

B. 12

C. 15

D. 16

E. 24


The number of integers divisible by 3 and 4 is equal to the number of integers divisible by 12:

(192 - 12)/12 + 1 = 16

Answer: D
avatar
B
kheraarj
Intern
Intern
Joined: 07 Dec 2018
Posts: 6
Own Kudos [?]: 1 [0]
Given Kudos: 199
Location: India
Schools: Queen's Jan20 Intake Ivey '21 HEC Montreal '21
Send PM
Re: How many integers between 1 and 200, inclusive, are divisible by both [#permalink] New post   13 Jul 2019, 00:21
Instead of calculating with

((192-12)/12) + 1 == 15 + 1 == 16

Why cant we just do 192/12 == 16?

Posted from my mobile device
User avatar
B
ramlk
Intern
Intern
Joined: 08 Jul 2023
Posts: 18
Own Kudos [?]: 6 [0]
Given Kudos: 4
Send PM
How many integers between 1 and 200, inclusive, are divisible by both [#permalink] New post   10 Jul 2023, 22:38
A number that is divisble by both 3 & 4 will also be divisible by 12 (12 is the LCM of 3x4)
So basically you want to find the total cases where a number is divisible by 12.

Lets consider few such numbers - 12,24,36,48.........
As obvious each of them has a difference of 12 from the previous one (36-24=12, 48-36 =12)

So dividing 200 by 12 will give you the required answer i.e. 16
If not satisfied, u can cross-check by writing down the complete series.

manali_02 wrote:
How many integers between 1 and 200 inclusive are divided by both 3&4?

A- 8
B- 12
C- 15
D- 16
E- 24

Can someone please explain the approach to solving these kind of questions.

Posted from my mobile device
User avatar
P
walterwhite756
Senior Manager
Senior Manager
Joined: 09 Jun 2020
Posts: 299
Own Kudos [?]: 177 [0]
Given Kudos: 171
Location: India
GMAT 1: 720 Q50 V36
GPA: 4
Send PM
Re: How many integers between 1 and 200 inclusive are divided .. [#permalink] New post   10 Jul 2023, 23:06
For dividing by both 3 and 4, means it should be divided with 12.

From 1 to 200, 16 multiples of 12 exist hence Option D is answer.
manali_02 wrote:
How many integers between 1 and 200 inclusive are divided by both 3&4?

A- 8
B- 12
C- 15
D- 16
E- 24

Can someone please explain the approach to solving these kind of questions.

Posted from my mobile device
GMAT Club Bot
gmatclubot
Re: How many integers between 1 and 200 inclusive are divided .. [#permalink]
10 Jul 2023, 23:06
Moderators:
Bunuel
Math Expert
92902 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions