If k is a non-negative integer and 15^k is a divisor of 759,325 then 3^k - k^3 =	Choose the correct choice from the following choices:  A) 0  B) 1  C) 37  D) 118  E) 513

Rationale: "at first we should understand whether 759325 divisible by 15 . 15 is equal to 3 * 5 so 759325 should be divisible on these integers 759325 is divisible by 5 because of last digit 5 but not divisible by 3 because sum of its digits does n ' t divisible by 3 : 7 + 5 + 9 + 3 + 2 + 5 = 31 and 31 does n ' t divisible by 3 so 759325 can be divisible by 15 ^ k only if k = 0 and 15 ^ k = 1 so 3 ^ k - k ^ 3 = 1 - 0 = 1 answer is b"
Answer: B