number system

[finsisher]

x is the sum of y consecutive integers. w is the sum of z consecutive integers. If y = 2z, and y and z are both positive integers, then each of the following could be true EXCEPT

x = w

x>w

x/y is an integer

w/z is an integer

x/z is an integer

[Attack]

answer is C.

here Y is even. Now a sum of even N consecutive integers is not divisible by even number N. (Check for N=2,4,6,..)
Hence x/y is not an integer.
--

if you still want to eliminate other options.
consider X= sum of values of {1,2,3,4,5,6}
this gives X= 21, y=6.
W= sum of values of {1,2,3} or {6,7,8}
this gives W= 6or 21 and z=3.
the values satisfy all conditions other than C.

[finsisher]

yest u attacked it perfectly