SAT Math Practice Question #25117 - SATify | SATify

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SAT Math Practice Question #25117 - SATify | SATify

#25117

number theory

probability

Totient Function

medium

120 sec

An integer $N$ is selected at random in the range $1 \leq N \leq 2200$ . What is the probability that the remainder when $N^{20}$ is divided by 11 is 1?

A.

$\frac{1}{11}$

B.

$\frac{5}{11}$

C.

$\frac{9}{11}$

D.

$\frac{10}{11}$

E.

$1$