Find the smallest positive integer n such that 11n - 1 is divisible by 105.
Choose the correct choice from the following answers.
A) 3  B) 4  C) 5  D) 6  E) 7
The last digit of 11n − 1 is 0, so 5 always divides 11n − 1. Also, checking the   remainders when the powers of 11 are divided by 3 and 7 we get that 3 divides 11n −1   exactly when n is even, and 7 divides 11n − 1 exactly when 3 divides n.   correct answer 6
<result>D</result>
Find the smallest positive integer n such that 11n - 1 is divisible by 105.