Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.

Problem: 12. what is the dividend. divisor 17, the quotient is 9 and the remainder is 10.
Options: a. 150, b. 152, c. 154, d. 163, e. 144
d

Problem: find the greatest number which leaves the same remainder when it divides 16, 46 and 82.
Options: a. 18, b. 8, c. 12, d. 16, e. none of these
e

Problem: ( 4 ! ) ^ n is a factor of 12 !, but ( 4 ! ) ^ ( n + 1 ) is not factor of 12 !. what is the value of n ?
Options: a. 1, b. 2, c. 3, d. 4, e. 5

c