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If n, p, q, and r are consecutive integers, what is their sum?

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by BTGmoderatorLU » Tue Feb 02, 2021 4:00 am
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Source: Manhattan Prep

If n, p, q, and r are consecutive integers, what is their sum?

A. Odd
B. Even
C. Cannot be determined

The OA is B
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Re: If n, p, q, and r are consecutive integers, what is their sum?

by Scott@TargetTestPrep » Sat Feb 13, 2021 6:43 am
BTGmoderatorLU wrote: ↑
Tue Feb 02, 2021 4:00 am
 Source: Manhattan Prep

If n, p, q, and r are consecutive integers, what is their sum?

A. Odd
B. Even
C. Cannot be determined

The OA is B
Solution:

Since n, p, q,and r are consecutive integers, p = n + 1, q = n + 2 and r = n + 3. Therefore, their sum, in terms of n, is n + (n + 1) + (n + 2) + (n + 3) = 4n + 6. Since both 4n and 6 are even, then (4n + 6) is always even regardless of what n is.

Answer: B

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