positive integers

[grandh01]

The product of the first twelve
positive integers is divisible by all of
the following EXCEPT
(A) 210
(B) 88
(C) 75
(D) 60
(E) 34

OA is E

[theCEO]

The product of the first twelve
positive integers is divisible by all of
the following EXCEPT
(A) 210
(B) 88
(C) 75
(D) 60
(E) 34

OA is E

Break down the answer choices into factors less than 12: if there is a prime factor over then then this is the answer

a) 210 = 10 * 3 * 7 -- not sufficient
b) 88 = 11 * 8 -- not sufficient
c) 75 = 5 * 5 * 3 -- not sufficient
d) 60 = 6 x 10 --- not sufficient
e) 34 = 2 x 17 ----sufficient

answer = e