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When n is divided by 3, the remainder is 2. What is the rema

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by Max@Math Revolution » Fri Jul 26, 2019 12:17 am

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[GMAT math practice question]

When n is divided by 3, the remainder is 2. What is the remainder when n^2 +2n is divided by 3.

A. 0
B. 1
C. 2
D. 3
E. 4
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by GMATGuruNY » Fri Jul 26, 2019 2:44 am
Max@Math Revolution wrote:[GMAT math practice question]

When n is divided by 3, the remainder is 2. What is the remainder when n^2 +2n is divided by 3.

A. 0
B. 1
C. 2
D. 3
E. 4
When n is divided by 3, the remainder is 2.
Let n=2, since 2/3 = 0 R2

What is the remainder when n^2 +2n is divided by 3?
Testing n=2, we get:
(n² + 2n)/3 = (2² + 2*2)/3 = 8/3 = 2 R2

The correct answer is C.
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by Max@Math Revolution » Sun Jul 28, 2019 4:57 pm
=>

We can plug in 2 for the variable n.
n^2+2n = 2^2 + 2*2 = 8 and 8 has reminder 2 when it is divided by 3.

Therefore, the answer is C.
Answer: C
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by Scott@TargetTestPrep » Tue Aug 06, 2019 4:47 pm
Max@Math Revolution wrote:[GMAT math practice question]

When n is divided by 3, the remainder is 2. What is the remainder when n^2 +2n is divided by 3.

A. 0
B. 1
C. 2
D. 3
E. 4
We can let n = 2 since 2 divided by 3 is 0 with remainder 2:

(2^2 + 2*2)/3 = 8/3 = 2 remainder 2

Answer: C

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