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Please explain!
This question is testing your knowledge of the following rule: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
w, x, y and z are all integers.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
Only two constraints are given for z:prachi18oct wrote:Hi GMATGuruNY,
It is mentioned that w is the sum of z consecutive integers, so can we assume that z may be 1 also?
GMATGuruNY wrote:Only two constraints are given for z:prachi18oct wrote:Hi GMATGuruNY,
It is mentioned that w is the sum of z consecutive integers, so can we assume that z may be 1 also?
1. y=2z.
2. y and z are positive integers.
Thus, it is possible that z=1 and y=2.
Perfectly valid. This is essentially an algebraic explanation for the rule that the sum of 'n' consecutive integers won't be a multiple of 'n' when 'n' is even.Similarly, if y = 4; n-2,n-1,n,n+1 => sum = 4n-2 ; not divisibly by 4
y = 6; n-3,n-2,n-1,n,n+1,n+2 => sum = 6n-3; not divisible by 6.