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: 1051
GPA: 3.39
If x is an integer, then x(x – 1)(x – k) must be evenly divisible by
[#permalink]
04 May 2021, 22:00
04 May 2021, 22:00
Expert Reply
3
Bookmarks
00:00
Question Stats:
66% (02:36) correct
33% (02:54) wrong based on 9 sessions
Hide Show timer Statistics
If x is an integer, then x(x – 1)(x – k) must be evenly divisible by three when k is any of the following values EXCEPT
A. -4
B. -2
C. -1
D. 2
E. 5
A. -4
B. -2
C. -1
D. 2
E. 5
Re: If x is an integer, then x(x – 1)(x – k) must be evenly divisible by
[#permalink]
05 May 2021, 21:43
05 May 2021, 21:43
1
You can just plug the answer choices into question after picking a sample integer value for x:
Let's say x = 5;
Therefore, x(x - 1) = 5(4) = 20;
The equation now becomes : 20(x - k);
Now plug in the answer choices for the value of k:
A (-4) : 20(9) = 180; divisible by 3
B (-2) : 20(7) = 140; NOT divisible by 3
You may continue with other option choices to confirm or just stop here.
Hence the answer is choice B(-2).
Hit Kudos if this reply helped you!:)
Let's say x = 5;
Therefore, x(x - 1) = 5(4) = 20;
The equation now becomes : 20(x - k);
Now plug in the answer choices for the value of k:
A (-4) : 20(9) = 180; divisible by 3
B (-2) : 20(7) = 140; NOT divisible by 3
You may continue with other option choices to confirm or just stop here.
Hence the answer is choice B(-2).
Hit Kudos if this reply helped you!:)
If x is an integer, then x(x – 1)(x – k) must be evenly divisible by
[#permalink]
05 May 2021, 23:51
05 May 2021, 23:51
GeniusRex wrote:
You can just plug the answer choices into question after picking a sample integer value for x:
Let's say x = 5;
Therefore, x(x - 1) = 5(4) = 20;
The equation now becomes : 20(x - k);
Now plug in the answer choices for the value of k:
A (-4) : 20(9) = 180; divisible by 3
B (-2) : 20(7) = 140; NOT divisible by 3
You may continue with other option choices to confirm or just stop here.
Hence the answer is choice B(-2).
Hit Kudos if this reply helped you!:)
Let's say x = 5;
Therefore, x(x - 1) = 5(4) = 20;
The equation now becomes : 20(x - k);
Now plug in the answer choices for the value of k:
A (-4) : 20(9) = 180; divisible by 3
B (-2) : 20(7) = 140; NOT divisible by 3
You may continue with other option choices to confirm or just stop here.
Hence the answer is choice B(-2).
Hit Kudos if this reply helped you!:)
lets say x=2
then answer changes
