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[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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