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mgmat ps-14 700-800

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mgmat ps-14 700-800

by pradeepkaushal9518 » Sat Sep 11, 2010 4:15 am
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
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by raman19831 » Sat Sep 11, 2010 10:03 am
C is answer due to reason below:

y= 2z => y is even

x/y cannot be integer.
The sum of n consecutive integers is divisible by n when n is odd. It is not divisible by n when n is even.

For proof and explanation of this property, visit the page below:

https://www.jimloy.com/number/consec0.htm
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by pradeepkaushal9518 » Sat Sep 11, 2010 10:32 am
great source raman
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