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x is a positive integer. k is the remainder when [m]x^3-x[/m] is divid
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18 Sep 2023, 01:20
18 Sep 2023, 01:20
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x is a positive integer. k is the remainder when \(x^3-x\) is divided by 3.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
k |
1 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Re: x is a positive integer. k is the remainder when [m]x^3-x[/m] is divid
[#permalink]
18 Sep 2023, 08:15
18 Sep 2023, 08:15
1
x³-x=x(x²-1)= x(x-1)(x+1)=
(x-1)(x)(x+1) which is the product of 3 consecutive integer thus it is a multiple of 3.Hence K must be zero!
Thus Qty B>QtyA B
Posted from my mobile device
(x-1)(x)(x+1) which is the product of 3 consecutive integer thus it is a multiple of 3.Hence K must be zero!
Thus Qty B>QtyA B
Posted from my mobile device
Re: x is a positive integer. k is the remainder when [m]x^3-x[/m] is divid
[#permalink]
24 May 2025, 09:40
24 May 2025, 09:40
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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).
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