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# What is the reminder when n^2 is divided by 4?

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Re: What is the reminder when n^2 is divided by 4? [#permalink]
niks18 wrote:
MathRevolution wrote:
[GMAT math practice question]3.15

What is the reminder when $$n^2$$ is divided by $$4$$?

1) When $$n$$ is divided by $$2$$, the reminder is $$1$$.
2) When $$n$$ is divided by $$3$$, the reminder is $$1$$.

1) When $$n$$ is divided by $$2$$, the reminder is $$1$$.
2) When $$n$$ is divided by $$3$$, the reminder is $$1$$.

St 1: n = 1, 3, 5, 7 (Remainder = 1 when divided by 2)

n^2 = 1, 9, 25, 49 (Remainder = 1 when divided by 4) Sufficient

St 2: n = 1, 4, 7, 10 (Remainder = 1 when divided by 3)

n^2 = 1, 16, 49, 100 Remainder = 1, 0, 1, 0 when divided by 4) Insufficient

(A)
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Re: What is the reminder when n^2 is divided by 4? [#permalink]
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Re: What is the reminder when n^2 is divided by 4? [#permalink]
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