If x , y , and z are consecutive integers, and x < y < : GMAT Data Sufficiency (DS)
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# If x , y , and z are consecutive integers, and x < y <

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Manager
Joined: 21 May 2011
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If x , y , and z are consecutive integers, and x < y < [#permalink]

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27 Jul 2011, 03:45
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If x , y , and z are consecutive integers, and x < y < z , is x even?

(1) x + y is odd.

(2) x + z is even.
Manager
Joined: 14 Mar 2011
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Kudos [?]: 118 [0], given: 21

Re: DS - 700 level - consecutive integers [#permalink]

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27 Jul 2011, 04:18
bschool83 wrote:
If x , y , and z are consecutive integers, and x < y < z , is x even?

(1) x + y is odd.

(2) x + z is even.

(1) Insufficient - x, and y are given as consecutive integers, so one number in x and y has to be even and one has to be odd, like x=1 and y =2 or x=2 and y=3....but the sum will always be odd. so this statement doesnt gives any information at all.

2) Insufficient. - It's given that x y and z are consecutive integers in order x ,y, z....so sum of x and z will always be even. you can see for example if x=1 and z=3 sum =4 (even) , similarly if x=2 and z=4, sum = 6 even . so this too doesnt adds any info. even +even = always even and odd + odd = always even.

together too they are insufficient because neither of the statements add any info to what is already given in question. Answer E.
Re: DS - 700 level - consecutive integers   [#permalink] 27 Jul 2011, 04:18
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