MBA Spotlight – The Biggest MBA Fair is June 13-14
close
It is currently 04 Jun 2023, 00:36
Register
GMAT Club Tests
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

If k is a common multiple of 75, 98, and 140, which of the

12 posts Go to First Unread Post
Print view
LOCKED TOPIC
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
avatar
bulletpoint
Intern
Intern
Joined: 02 Jul 2013
Posts: 16
Schools: LBS MIF '15
If k is a common multiple of 75, 98, and 140, which of the [#permalink] New post  15 Oct 2013, 06:14
8
Kudos
92
Bookmarks
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

67% (02:04) correct 33% (01:59) wrong based on 1229 sessions

Hide Show timer Statistics

If k is a common multiple of 75, 98, and 140, which of the following statements are true?

I. k is divisible by 9
II. k is divisible by 49
III. k is greater than 14,000

A. II only
B. III only
C. I and II only
D. II and III only
E. I, II, and III
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
Most Helpful Reply
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 88617
CAT Tests Forum Quiz Mode Top Member of the Month
Re: If k is a common multiple of 75, 98, and 140, which of the [#permalink] New post  27 Jul 2015, 05:11
11
Kudos
3
Bookmarks
Expert Reply
honchos wrote:
If k is a common multiple of 75, 98, and 140, which of the following statements are true?

I. k is divisible by 9
II. k is divisible by 49
III. k is greater than 14,000

A. II only
B. III only
C. I and II only
D. II and III only
E. I, II, and III

Bunuel whats your take?


III to be true it should be mentioned that k is a positive integer. For example, 0 is a common multiple of 75, 98, and 140 and is NOT greater than 14,000.

Rare example of flawed question from GMAT.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
User avatar
G
Temurkhon
Senior Manager
Senior Manager
Joined: 23 Jan 2013
Posts: 437
Schools: Cambridge'16
If k is a common multiple of 75, 98, and 140, which of the [#permalink] New post  08 Nov 2014, 08:39
6
Kudos
4
Bookmarks
Prime factorization:

75=5*5*3
98=2*7*7
140=5*2*2*7

1) k is divisible by 9: NO, there is no prime factors of 9, i.e 3*3
2) k is divisible by 49: YES, there is 7*7=49
3) k>14,000: LCM=49*25*4*3=49*300=50*300>14,000, so YES

D
General Discussion
User avatar
kusena
Intern
Intern
Joined: 14 Aug 2013
Posts: 23
Location: United States
Concentration: Finance, Strategy
GMAT Date: 10-31-2013
GPA: 3.2
WE:Consulting (Consumer Electronics)
GMAT ToolKit User
Re: If k is a common multiple of 75, 98, and 140, which of the [#permalink] New post  15 Oct 2013, 06:55
5
Kudos
2
Bookmarks
bulletpoint wrote:
If k is a common multiple of 75, 98, and 140, which of the following statements are true?

I. k is divisible by 9
II. k is divisible by 49
III. k is greater than 14,000

a) II only
b) III only
c) I and II only
d) II and III only
e) I, II, and III


Given K is a common multiple of 75,98,140, Least Common Multiple of these numbers will be 14700
K will be of the form 14700*n...where n=1,2,3,.....

I)14700*n is not divisible by 9 for all values of 'n' (eg: at n=1,k=14700 not divisible by 9). Hence I cant be always true
II) 14700*n is divisible by 49 for all values of 'n'. Hence II is true
III)14,700*n is greater than 14,000.Hence III is true

Ans d) II and III only
Hope its clear
User avatar
honchos
Senior Manager
Senior Manager
Joined: 17 Apr 2013
Status:Verbal Forum Moderator
Posts: 380
Location: India
GMAT 1: 710 Q50 V36
GMAT 2: 750 Q51 V41
GMAT 3: 790 Q51 V49
GPA: 3.3
Re: If k is a common multiple of 75, 98, and 140, which of the [#permalink] New post  27 Jul 2015, 05:01
Bunuel whats your take?
User avatar
honchos
Senior Manager
Senior Manager
Joined: 17 Apr 2013
Status:Verbal Forum Moderator
Posts: 380
Location: India
GMAT 1: 710 Q50 V36
GMAT 2: 750 Q51 V41
GMAT 3: 790 Q51 V49
GPA: 3.3
Re: If k is a common multiple of 75, 98, and 140, which of the [#permalink] New post  27 Jul 2015, 05:20
Bunuel wrote:
honchos wrote:
If k is a common multiple of 75, 98, and 140, which of the following statements are true?

I. k is divisible by 9
II. k is divisible by 49
III. k is greater than 14,000

A. II only
B. III only
C. I and II only
D. II and III only
E. I, II, and III

Bunuel whats your take?


III to be true it should be mentioned that k is a positive integer. For example, 0 is a common multiple of 75, 98, and 140 and is NOT greater than 14,000.

Rare example of flawed question from GMAT.



I was also astonished it was an exam pack questions.
avatar
Swaroopdev
Intern
Intern
Joined: 01 Apr 2015
Posts: 37
If k is a common multiple of 75, 98, and 140, which of the [#permalink] New post  Updated on: 29 Jul 2015, 07:11
Bunuel, since its asking which of the following are true and NOT 'must be true'. This question seems legit, don't you think ?

Because i have seen official questions always mention 'must be true' if they are asking for only must be true answers, for example: Refer OG 13- PS- 221, but you are the Gmat Guru :) so please correct me if I'm wrong.

Thanks.

Originally posted by Swaroopdev on 29 Jul 2015, 07:06.
Last edited by Swaroopdev on 29 Jul 2015, 07:11, edited 1 time in total.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 88617
CAT Tests Forum Quiz Mode Top Member of the Month
Re: If k is a common multiple of 75, 98, and 140, which of the [#permalink] New post  29 Jul 2015, 07:08
Expert Reply
Swaroopdev wrote:
Bunuel, since its asking which of the following are true and NOT 'must be true'. This question seems legit, don't you think ?

Because i have seen official questions always mention 'must be true' if they are asking for only must be true answers, but you are the Gmat Guru :) so please correct me if I'm wrong.


The question asks "which of the following statements are true?", which is equivalent to "which of the following statements must be true?". If it were otherwise it would be "which of the following statements could be true?"
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
avatar
Swaroopdev
Intern
Intern
Joined: 01 Apr 2015
Posts: 37
Re: If k is a common multiple of 75, 98, and 140, which of the [#permalink] New post  29 Jul 2015, 07:20
Bunuel, so it is either 'could be true' or 'must be true' and not as this question states. Got it.

Thanks.
avatar
mejia401
Senior Manager
Senior Manager
Joined: 15 Sep 2011
Posts: 271
Location: United States
WE:Corporate Finance (Manufacturing)
GMAT ToolKit User
Re: If k is a common multiple of 75, 98, and 140, which of the [#permalink] New post  29 Jul 2015, 17:55
Swaroopdev wrote:
Bunuel, so it is either 'could be true' or 'must be true' and not as this question states. Got it.

Thanks.


Swaroopdev I'm sorry, but I don't understand what the difference of meaning is when "must" is left out. I suppose without "must" there is less emphasis, but other than that, the meaning is the same.
avatar
B
onlynk1
Intern
Intern
Joined: 15 Jun 2015
Posts: 2
Schools: HEC Jan'16
Re: If k is a common multiple of 75, 98, and 140, which of the [#permalink] New post  30 Jul 2015, 05:24
honchos wrote:
Bunuel wrote:
honchos wrote:
If k is a common multiple of 75, 98, and 140, which of the following statements are true?

I. k is divisible by 9
II. k is divisible by 49
III. k is greater than 14,000

A. II only
B. III only
C. I and II only
D. II and III only
E. I, II, and III

Bunuel whats your take?


III to be true it should be mentioned that k is a positive integer. For example, 0 is a common multiple of 75, 98, and 140 and is NOT greater than 14,000.

Rare example of flawed question from GMAT.



I was also astonished it was an exam pack questions.


Bunuel, Calculating LCM of 75,98 and 140 is 14700 which is least,so how can you say zero is a common multiple? Please correct me if I am wrong.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 88617
CAT Tests Forum Quiz Mode Top Member of the Month
Re: If k is a common multiple of 75, 98, and 140, which of the [#permalink] New post  30 Jul 2015, 05:37
2
Kudos
3
Bookmarks
Expert Reply
onlynk1 wrote:
honchos wrote:
Bunuel wrote:
If k is a common multiple of 75, 98, and 140, which of the following statements are true?

I. k is divisible by 9
II. k is divisible by 49
III. k is greater than 14,000

A. II only
B. III only
C. I and II only
D. II and III only
E. I, II, and III

III to be true it should be mentioned that k is a positive integer. For example, 0 is a common multiple of 75, 98, and 140 and is NOT greater than 14,000.

Rare example of flawed question from GMAT.



I was also astonished it was an exam pack questions.


Bunuel, Calculating LCM of 75,98 and 140 is 14700 which is least,so how can you say zero is a common multiple? Please correct me if I am wrong.


Notice that we are told that k is a common multiple of 75, 98, and 140 NOT the least common multiple of 75, 98, and 140. By default, the least common multiple is considered to be the least common positive multiple, because otherwise it does not make any sense.

For example, the LCM of 2 and 3 is 6, which means that 6 is the least common positive multiple of 2 and 3. If we were allowed to consider negative multiples too, then there won't be an answer.

Back to the question:
1. 0 is a multiple of every integer, so 0 is a common multiple of every non-zero sets of integers.
2. 0 is not the only common multiple of 75, 98, and 140, less than 14,000, so is -14,700, -2*14,700, -3*14,700, -4*14,700, ...

Hope it's clear.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
GMAT Club Bot
gmatclubot
Re: If k is a common multiple of 75, 98, and 140, which of the [#permalink]
30 Jul 2015, 05:37
LOCKED TOPIC
Downloads
My Bookmarks
Reviews
Moderators:
Bunuel
Math Expert
88617 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3152 posts

cron

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