pejmanjohn wrote:

If w, x and y are different positive integers, and wxy = 24, is xy divisible by 6?

(1) wy is not divisible by 6.

(2) x is even.

Source:

Magoosh.com

St.1:

Case 1: wy = 2 or, w,y = 1,2 or 2,1

Case 2: wy = 4 or, w,y = 1,4 or 4,1

Case 3: wy = 8 or, w,y = 1,8 or 8,1 or 4,2 or 2,4

Case 4: wy = 3 or, w,y = 1,3 or 3,1

x = 12, 6, 3, 8 for case 1,2,3,4 respectively.

Insufficient.

St. 2:

x = 2,4,6,8,12

Insufficient.

Combined: For all values of x, xy will be divisible by 6 except when x= 8 & y=1.

Insufficient.

Hence,

E.

Edited: Missed case 4!