Last visit was: 22 Jun 2025, 20:30 It is currently 22 Jun 2025, 20:30
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
rishabhmishra
Joined: 23 Sep 2016
Last visit: 16 Aug 2019
Posts: 181
Own Kudos:
412
 [9]
Given Kudos: 29
Products:
Posts: 181
Kudos: 412
 [9]
1
Kudos
Add Kudos
8
Bookmarks
Bookmark this Post
User avatar
Hatakekakashi
Joined: 07 Jan 2016
Last visit: 22 Feb 2025
Posts: 1,245
Own Kudos:
Given Kudos: 126
Location: United States (MO)
GMAT 1: 710 Q49 V36
Products:
GMAT 1: 710 Q49 V36
Posts: 1,245
Kudos: 477
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
AdityaHongunti
Joined: 20 Sep 2016
Last visit: 31 Mar 2021
Posts: 552
Own Kudos:
1,024
 [2]
Given Kudos: 632
Location: India
Concentration: Strategy, Operations
GPA: 3.6
WE:Operations (Consumer Packaged Goods)
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Hatakekakashi
Joined: 07 Jan 2016
Last visit: 22 Feb 2025
Posts: 1,245
Own Kudos:
477
 [1]
Given Kudos: 126
Location: United States (MO)
GMAT 1: 710 Q49 V36
Products:
GMAT 1: 710 Q49 V36
Posts: 1,245
Kudos: 477
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
AdityaHongunti
rishabhmishra
If p is a positive integer, is p prime?
1. The highest common factor of P and 110 is 11.
2. The least common factor of P and 110 is 110
IMO C

St. 1 not sufficient - HCF is 11 which means that there has to be a 11 in P so P could be 11 and the answer would be yes. But if P is 143 ( 11*13) the HCF is still 11 but here P is not a prime no.

St. 2 Not sufficient. LCM is 110. And the other number is 110 therefore we can conclude that either P is 110 or less than 110. Now LCM = 110= ( 11*5*2) . another number 110= 11*5*2. Now P could be either 11 or 2 or 5 or 55 or 22 or 110. As for LCM we only choose the highest power of prime no.s P cannot have more than 1 ( 11 5 2). There P could be just 11 or 5 or 2 ( prime no.s) or it could be 22 55 10 110 ( non primes)

St. 1 and St. 2 -- HCF * LCM= P* 110 ( standard formula)
Therefore- 11*110= P* 110
Therefore P is 11 ( prime no.) . C is the right answer

Sent from my XT1562 using GMAT Club Forum mobile app
exactly what i had in mind

but LCM is least common multiple and not least common factor

i think there is a typing error in the question
User avatar
AdityaHongunti
Joined: 20 Sep 2016
Last visit: 31 Mar 2021
Posts: 552
Own Kudos:
1,024
 [1]
Given Kudos: 632
Location: India
Concentration: Strategy, Operations
GPA: 3.6
WE:Operations (Consumer Packaged Goods)
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hatakekakashi
AdityaHongunti
rishabhmishra
If p is a positive integer, is p prime?
1. The highest common factor of P and 110 is 11.
2. The least common factor of P and 110 is 110
IMO C

St. 1 not sufficient - HCF is 11 which means that there has to be a 11 in P so P could be 11 and the answer would be yes. But if P is 143 ( 11*13) the HCF is still 11 but here P is not a prime no.

St. 2 Not sufficient. LCM is 110. And the other number is 110 therefore we can conclude that either P is 110 or less than 110. Now LCM = 110= ( 11*5*2) . another number 110= 11*5*2. Now P could be either 11 or 2 or 5 or 55 or 22 or 110. As for LCM we only choose the highest power of prime no.s P cannot have more than 1 ( 11 5 2). There P could be just 11 or 5 or 2 ( prime no.s) or it could be 22 55 10 110 ( non primes)

St. 1 and St. 2 -- HCF * LCM= P* 110 ( standard formula)
Therefore- 11*110= P* 110
Therefore P is 11 ( prime no.) . C is the right answer

Sent from my XT1562 using GMAT Club Forum mobile app
exactly what i had in mind

but LCM is least common multiple and not least common factor

i think there is a typing error in the question
The question says least common multiple!

Sent from my XT1562 using GMAT Club Forum mobile app

I'm a moderator I've edited the question
User avatar
rishabhmishra
Joined: 23 Sep 2016
Last visit: 16 Aug 2019
Posts: 181
Own Kudos:
Given Kudos: 29
Products:
Posts: 181
Kudos: 412
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hatakekakashi
rishabhmishra
If p is a positive integer, is p prime?
1. The highest common factor of P and 110 is 11.
2. The least common factor of P and 110 is 110

is the question correct?

acc to B

if 110 is the least common factor

p and 110 are multiples of 110
so p can never b prime
I think you lost in question its least common factor question is absolutely correct....
User avatar
Hatakekakashi
Joined: 07 Jan 2016
Last visit: 22 Feb 2025
Posts: 1,245
Own Kudos:
477
 [1]
Given Kudos: 126
Location: United States (MO)
GMAT 1: 710 Q49 V36
Products:
GMAT 1: 710 Q49 V36
Posts: 1,245
Kudos: 477
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
rishabhmishra
Hatakekakashi
rishabhmishra
If p is a positive integer, is p prime?
1. The highest common factor of P and 110 is 11.
2. The least common factor of P and 110 is 110

is the question correct?

acc to B

if 110 is the least common factor

p and 110 are multiples of 110
so p can never b prime
I think you lost in question its least common factor question is absolutely correct....

I've edited the question

Posted from my mobile device
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 37,249
Own Kudos:
Posts: 37,249
Kudos: 1,002
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.
Moderators:
Math Expert
102229 posts
425 posts