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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
If x is an integer, then x(x – 1)(x – k) must be evenly divisible by
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04 May 2021, 22:00
04 May 2021, 22:00
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66% (02:36) correct
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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
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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
