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SSAT Middle Level
Quantitative (Math)

Different Remainders of f(n) Modulo 7

Hard Number And Operations Integers

Consider the integers from 1 to 50. Define the function $f(n)$ as follows:

$$f(n) = n^2 - n + 1$$

What is the remainder when $f(n)$ is divided by 7 for the values of $n = 1$, $n = 2$, ..., $n = 50$? Select the option that correctly states the number of different remainders produced by $f(n)$.

Hint

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