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n is a positive even integer.

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n is a positive even integer. [#permalink] New post   10 Jul 2023, 02:20
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n is a positive even integer.

Quantity A
Quantity B
The remainder when \([n+1][2n–1]\) is dividedb by 10
zero



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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Shuvr0
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Re: n is a positive even integer. [#permalink] New post   10 Jul 2023, 10:01
A is greater

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Re: n is a positive even integer. [#permalink] New post   10 Jul 2023, 10:35
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Would be best an explanation and so you will receive kudos.

Just saying A > B does not help that much the community

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n is a positive even integer. [#permalink] New post   11 Jul 2023, 18:53
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n + 1 and 2n - 1 both are odd expressions so its remainder can never be zero.
So A is greater
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Re: n is a positive even integer. [#permalink] New post   08 Sep 2023, 10:45
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Fairly straightforward.
We can try out some numbers starting with 0 (Lowest possible even number)
we have (0+1)(2*0-1)=(1)(1)
Which gives a remainder of 1.
Recall that the unit digit is the remainder when divided by 10 hence lowest possible reminder = 1 > 0

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Re: n is a positive even integer. [#permalink] New post   15 Apr 2024, 15:33
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simplify the equation = 2n^2+3n+1
as n = even positive integer, taking n = 2 and 4(take 2 cases just to make sure the answer is correct)
n = 2
15/10 = rem is 5
n = 4
45/10 = rem is 5

hence, QA>QB
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