NEW HERE? LEARN MORE
closeclose
Last visit was: 23 Apr 2024, 21:19 It is currently 23 Apr 2024, 21:19
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 three-digit positive integers are divisible by 11 and 35?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618622 [2]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
How many three-digit positive integers are divisible by 11 and 35? [#permalink] New post   12 Jan 2021, 01:51
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

76% (01:16) correct 24% (01:04) wrong based on 107 sessions
Hide Show timer Statistics
How many three-digit positive integers are divisible by 11 and 35?

A. 0
B. 1
C. 2
D. 3
E. 4
ShowHide Answer
Official Answer
C
User avatar
B
Yashvardhan08
Intern
Intern
Joined: 26 Mar 2020
Posts: 7
Own Kudos [?]: 1 [0]
Given Kudos: 147
GMAT 1: 600 Q46 V27
Send PM
Re: How many three-digit positive integers are divisible by 11 and 35? [#permalink] New post   12 Jan 2021, 04:01
Bunuel wrote:
How many three-digit positive integers are divisible by 11 and 35?

A. 0
B. 1
C. 2
D. 3
E. 4


lcm of 11 and 35 = 385
only 385 and 770 is divisible.
answer=c
User avatar
P
ramlala
Senior Manager
Senior Manager
Joined: 22 Aug 2020
Posts: 475
Own Kudos [?]: 352 [0]
Given Kudos: 30
Location: India
Concentration: International Business, Finance
Schools: IIMA PGPX'23 INSEAD Jan'23 intake Sloan (MIT) ISB HEC Oxford Said
GPA: 4
WE:Project Management (Energy and Utilities)
Send PM
How many three-digit positive integers are divisible by 11 and 35? [#permalink] New post   12 Jan 2021, 05:51
Bunuel wrote:
How many three-digit positive integers are divisible by 11 and 35?

A. 0
B. 1
C. 2
D. 3
E. 4


3 digit numbers: from 100 to 999

3 digit numbers divided by 11 & 35
= 5*7*11=385
=385*2= 770
=385*3= more than 3 digits.

Ans = 2

IMO C
User avatar
L
EgmatQuantExpert
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3726
Own Kudos [?]: 16831 [0]
Given Kudos: 165
Send PM
Re: How many three-digit positive integers are divisible by 11 and 35? [#permalink] New post   14 Jan 2021, 11:34
Expert Reply

Solution



To find
We need to determine
    • The number of 3-digit positive integers which are divisible by both 11 and 35

Approach and Working out
If a number is divisible by both 11 and 35, then we can say the number is a common multiple of both 11 and 35
    • As LCM denotes the least among the common multiples, we can say that the number must be a multiple of the LCM of 11 and 35

LCM(11, 35) = 385
Now, the multiples of 385 are 385 (= 385 x 1), 770 (385 x 2), 1155 (= 385 x 3) and so on.
However, 1155 or values beyond that will not be possible as the number must be a 3-digit number
    • Hence, only two values are possible: 385 and 770

Thus, option C is the correct answer.

Correct Answer: Option C
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32633
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: How many three-digit positive integers are divisible by 11 and 35? [#permalink] New post   24 Aug 2022, 10:11
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: How many three-digit positive integers are divisible by 11 and 35? [#permalink]
24 Aug 2022, 10:11
Moderators:
Bunuel
Math Expert
92883 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