Last visit was: 10 Jul 2025, 01:00 It is currently 10 Jul 2025, 01:00
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
User avatar
shasadou
Joined: 12 Aug 2015
Last visit: 24 Nov 2022
Posts: 220
Own Kudos:
3,015
 [22]
Given Kudos: 1,477
Concentration: General Management, Operations
GMAT 1: 640 Q40 V37
GMAT 2: 650 Q43 V36
GMAT 3: 600 Q47 V27
GPA: 3.3
WE:Management Consulting (Consulting)
GMAT 3: 600 Q47 V27
Posts: 220
Kudos: 3,015
 [22]
Kudos
Add Kudos
21
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
TheKingInTheNorth
Joined: 13 Mar 2013
Last visit: 03 May 2019
Posts: 132
Own Kudos:
314
 [6]
Given Kudos: 25
Location: United States
Concentration: Leadership, Technology
GPA: 3.5
WE:Engineering (Telecommunications)
Posts: 132
Kudos: 314
 [6]
4
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
General Discussion
User avatar
Aves
Joined: 08 Jan 2015
Last visit: 02 Dec 2023
Posts: 70
Own Kudos:
86
 [3]
Given Kudos: 654
Location: Thailand
GMAT 1: 540 Q41 V23
GMAT 2: 570 Q44 V24
GMAT 3: 550 Q44 V21
GMAT 4: 660 Q48 V33
GPA: 3.31
WE:Science (Other)
GMAT 4: 660 Q48 V33
Posts: 70
Kudos: 86
 [3]
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
User avatar
Nikkb
User avatar
Current Student
Joined: 02 Jul 2017
Last visit: 08 Jan 2024
Posts: 230
Own Kudos:
Given Kudos: 70
Concentration: Entrepreneurship, Technology
GMAT 1: 730 Q50 V38
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Is positive integer z greater than 275?

(1) z is a multiple of 21
z is multiple of 21 => z can be = 21,42.....
Clearly Insufficient

(2) z is a multiple of 39
z is multiple of 39 => z can be = 39,78.....
Clearly Insufficient

1+2
Z is multiple of 21 and 39 => minimum value of z = LCM of 21 and 39 = 3*7*13 = 273
So here we have atleast 1 value of z less than 275
Insufficient

Answer:E
User avatar
arvind910619
Joined: 20 Dec 2015
Last visit: 18 Oct 2024
Posts: 850
Own Kudos:
Given Kudos: 755
Status:Learning
Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36
GRE 1: Q157 V157
GPA: 3.4
WE:Engineering (Manufacturing)
Products:
GMAT 1: 670 Q48 V36
GRE 1: Q157 V157
Posts: 850
Kudos: 601
Kudos
Add Kudos
Bookmarks
Bookmark this Post
shasadou
Is positive integer z greater than 275?

(1) z is a multiple of 21

(2) z is a multiple of 39

The answer is E
Statement 1
The value of the multiple can be greater than 275 of lesser than 275 hence insufficient
Statement 2
Again the value can greater or lesser than 275 not sufficient
Taking both the statements together
We have LCM of 21 and 39 =273
Thus it can also be greater than or lesser than 275
So insufficient
User avatar
BrentGMATPrepNow
User avatar
Major Poster
Joined: 12 Sep 2015
Last visit: 13 May 2024
Posts: 6,756
Own Kudos:
34,044
 [3]
Given Kudos: 799
Location: Canada
Expert
Expert reply
Posts: 6,756
Kudos: 34,044
 [3]
2
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
shasadou
Is positive integer z greater than 275?

(1) z is a multiple of 21
(2) z is a multiple of 39

Target question: Is positive integer z greater than 275?

Statement 1: z is a multiple of 21
Let's TEST some values.
There are several values of z that satisfy statement 1. Here are two:
Case a: z = 21, in which case, the answer to the target question is NO, z is NOT greater than 275
Case b: z = 2100, in which case, the answer to the target question is YES, z IS greater than 275
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: z is a multiple of 39
Let's TEST values again.
Case a: z = 39, in which case, the answer to the target question is NO, z is NOT greater than 275
Case b: z = 3900, in which case, the answer to the target question is YES, z IS greater than 275
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Statement 1 tells us that z is a multiple of 21, which means we can write z = 21k for some integer k
Statement 2 tells us that z is a multiple of 39, which means we can write z = 39j for some integer j
Saying that z = 21k is the same as saying that z = (3)(7)(k)
Saying that z = 39j is the same as saying that z = (3)(13)(j)
When we write z is these two ways, we can see that (3)(7)(13) will be a multiple of 21 AND a multiple of 39
(3)(7)(13) = 273, so z COULD equal 273, in which case, the answer to the target question is NO, z is NOT greater than 275
Or it could be the case that z = (3)(7)(13)(2) = 546, in which case, the answer to the target question is YES, z IS greater than 275
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

Cheers,
Brent
avatar
rahul1121
Joined: 26 Mar 2019
Last visit: 12 Mar 2022
Posts: 12
Own Kudos:
4
 [1]
Given Kudos: 273
Location: India
Posts: 12
Kudos: 4
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
GMATPrepNow Or it could be the case that z = (3)(7)(13)(2) = 546, in which case, the answer to the target question is YES, z IS greater than 275

I didn't get this part, how 2 came ?
User avatar
BrentGMATPrepNow
User avatar
Major Poster
Joined: 12 Sep 2015
Last visit: 13 May 2024
Posts: 6,756
Own Kudos:
Given Kudos: 799
Location: Canada
Expert
Expert reply
Posts: 6,756
Kudos: 34,044
Kudos
Add Kudos
Bookmarks
Bookmark this Post
rahul1121
GMATPrepNow Or it could be the case that z = (3)(7)(13)(2) = 546, in which case, the answer to the target question is YES, z IS greater than 275

I didn't get this part, how 2 came ?

When we combine the statements, we know that z must be divisible by 3, 7 and 13
In other words, z must be divisible by 273
In other words, z is a multiple of 273

So, it COULD be the case that z = 273
Or it could be the case that z = (2)(273)
Or it could be the case that z = (3)(273)
Or it could be the case that z = (4)(273)
...or any other multiple of 273.

Does that help?

Cheers,
Brent
avatar
rahul1121
Joined: 26 Mar 2019
Last visit: 12 Mar 2022
Posts: 12
Own Kudos:
Given Kudos: 273
Location: India
Posts: 12
Kudos: 4
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Yes it does, thank you

Posted from my mobile device
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 37,365
Own Kudos:
Posts: 37,365
Kudos: 1,010
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderator:
Math Expert
102612 posts