GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
If p is divisible by 7 and q is divisible by 6, pq must have
[#permalink]
12 Aug 2018, 15:40
12 Aug 2018, 15:40
Expert Reply
4
Bookmarks
00:00
Question Stats:
43% (00:51) correct
56% (00:51) wrong based on 57 sessions
Hide Show timer Statistics
If p is divisible by 7 and q is divisible by 6, pq must have at least how many factors greater than 1?
(A) One
(B) Three
(C) Six
(D) Seven
(E) Eight
(A) One
(B) Three
(C) Six
(D) Seven
(E) Eight
Re: If p is divisible by 7 and q is divisible by 6, pq must have
[#permalink]
15 Aug 2018, 08:18
15 Aug 2018, 08:18
Expert Reply
Explanation
This problem is most easily solved with an example. If p = 7 and q = 6, then pg = 42, which has the factors 1 & 42, 2 & 21, 3 & 14, and 6 & 7. That’s 8 factors, but read carefully!
The question asks how many factors greater than 1, so the answer is 7. Note that choosing the smallest possible examples (p = 7 and q = 6) was the right move here, since the question asks “at least how many factors … ?” If testing p = 70 and q = 36, many, many more factors would have resulted.
The question asks for the minimum.
This problem is most easily solved with an example. If p = 7 and q = 6, then pg = 42, which has the factors 1 & 42, 2 & 21, 3 & 14, and 6 & 7. That’s 8 factors, but read carefully!
The question asks how many factors greater than 1, so the answer is 7. Note that choosing the smallest possible examples (p = 7 and q = 6) was the right move here, since the question asks “at least how many factors … ?” If testing p = 70 and q = 36, many, many more factors would have resulted.
The question asks for the minimum.
Re: If p is divisible by 7 and q is divisible by 6, pq must have
[#permalink]
03 Apr 2024, 07:35
03 Apr 2024, 07:35
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep 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.
Thanks to another GRE Prep 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.
