What is the least positive integer X for which (X^2) + 164 is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11?	Choose the most appropriate option:
A) 27556
B) 800
C) 796
D) 87
E) 166

Rationale: 2 = 2 3 = 3 4 = 2 * 2 5 = 5 6 = 2 * 3 7 = 7 8 = 2 * 2 * 2 9 = 3 * 3 10 = 2 * 5 11 = 11 so ( x ^ 2 ) + 164 = ( 2 * 2 * 2 * 3 * 3 * 5 * 7 * 11 ) = 27720 . then ( x ^ 2 ) = 27556 . then x = 166 , which is option e .
Answer: E