SAT Math Practice Question #25116 - SATify | SATify

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SAT Math Practice Question #25116 - SATify | SATify

#25116

number theory

probability

Totient Function

medium

120 sec

An integer $N$ is selected at random in the range $1 \leq N \leq 1050$ . What is the probability that the remainder when $N^{18}$ is divided by 7 is 1?

A.

$\frac{1}{7}$

B.

$\frac{2}{7}$

C.

$\frac{3}{7}$

D.

$\frac{6}{7}$

E.

$1$