What is the smallest integer X such that 2X+2 is divisible by 33, 44, 55, and 666?	Choices
A) x = 53186760	B) x = 26593379	C) x = 73260	D) x = 36629	E) x = 6666

Rationale: 33 = 3 * 11 44 = 2 * 2 * 11 55 = 5 * 11 666 = 2 * 3 * 3 * 37 so 2 x + 2 = 2 * 2 * 3 * 3 * 5 * 11 * 37 = 73260 , and x = ( 73260 - 2 ) / 2 = 36629 , which is option d .
Answer: D