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.
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
For how many positive integer values of p other than ‘1’, is
[#permalink]
28 Oct 2020, 01:16
28 Oct 2020, 01:16
Expert Reply
1
Bookmarks
00:00
Question Stats:
41% (02:44) correct
58% (02:33) wrong based on 12 sessions
Hide Show timer Statistics
For how many positive integer values of p other than ‘1’, is (p + 4) (p + 6) divisible by p?
(A) Four
(B) Seven
(C) Eight
(D) Twelve
(E) Twenty four
(A) Four
(B) Seven
(C) Eight
(D) Twelve
(E) Twenty four
Re: For how many positive integer values of p other than ‘1’, is
[#permalink]
13 Nov 2020, 23:53
13 Nov 2020, 23:53
4
(p+4)*(p+6)=p^2+10*p+24
Now p^2 is divisible by p
10 p is divisible by p
so for the expression to be divisible by p 24 should be divisible by p
So the answer equals the factors of 24 minus 1 because one is excluded
The factors of 24 is 8 minus 1 equals 7
The answer is 7
Now p^2 is divisible by p
10 p is divisible by p
so for the expression to be divisible by p 24 should be divisible by p
So the answer equals the factors of 24 minus 1 because one is excluded
The factors of 24 is 8 minus 1 equals 7
The answer is 7
gmatclubot
Re: For how many positive integer values of p other than ‘1’, is [#permalink]
13 Nov 2020, 23:53
Moderators:
