GMAT TIGER wrote:
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
a) x = w
b) x > w
c) x/y is an integer
d) w/z is an integer
e) x/z is an integer
x= sum of y consecutive integers.
= (k+1)+(k+2)...+(k+y) (here K can be any integer (+ve or -ve or zero)
= yk+ (1+2+3.. y)
= yk+ y(y+1)/2
x/y = k+(y+1)/2 = k+(2z+1)/2 --> can't be integer because (2z+1) odd number divided by 2 is always fraction number.
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