mgmat ps-14 700-800

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pradeepkaushal9518: Legendary Member; Posts: 1309; Joined: Wed Mar 17, 2010 11:41 pmFollowed by: 5 members; Thanked: 33 times

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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Source: Beat The GMAT — Problem Solving | Sat Sep 11, 2010 4:15 am

raman19831: Newbie | Next Rank: 10 Posts; Posts: 5; Joined: Tue Nov 25, 2008 11:27 pm; Thanked: 2 times

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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pradeepkaushal9518: Legendary Member; Posts: 1309; Joined: Wed Mar 17, 2010 11:41 pmFollowed by: 5 members; Thanked: 33 times

by pradeepkaushal9518 » Sat Sep 11, 2010 10:32 am

great source raman

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