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Math Expert
Joined: 02 Sep 2009
Posts: 50619

If x, y and z are integers, is x – y greater than y – z?
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27 Jan 2017, 08:37
Question Stats:
76% (01:34) correct 24% (02:35) wrong based on 99 sessions
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Intern
Joined: 12 Dec 2016
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Re: If x, y and z are integers, is x – y greater than y – z?
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27 Jan 2017, 21:41
Compare x  y & y  z 1. x > z, we don't know about y eg. x = 2, y = 3, z = 1 > 1 < 2 but if x = 2, y = 3, z = 1 > 5 > 4. Hence insuf 2. z > y > y  z < 0. We're not sure x  y < 0 or > 0 Combine: x > z > y > x  y > y  z



Intern
Joined: 13 Jan 2017
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Re: If x, y and z are integers, is x – y greater than y – z?
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28 Jan 2017, 03:22
xy > y  z is equivalent to x+z > y + y hence, claim 1 x > z is not sufficient as we don't know about how z relates to y, claim 2 z > y is not sufficient as we don't know about how x relates to y. but claims 1 & 2 are jointly sufficient.



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Joined: 09 Jun 2015
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Concentration: Entrepreneurship, Finance

Re: If x, y and z are integers, is x – y greater than y – z?
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28 Jan 2017, 10:52
Imagine this question as distance on the number line. So we need all 3 points. So combining both statements,we get X>Z>Y. We found Z is lying between X and Y on number line. So now we get X is far away from Y than Y is from Z. Hence Ans is C.



Intern
Joined: 08 Jan 2017
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If x, y and z are integers, is x – y greater than y – z?
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28 Jan 2017, 22:46
Hi,
it asks whether xy>yz > or x+z>2y ?
st1. states that x>z we can infer x+z>z+z with this we can rewrite question whether 2z>2y or simply z>y? as we don't know. insuff.
st2. it states z>y and we can rewrite the question whether x>y? no info therefore insuff.
st1+2. from 1 we arrive to whether z>y ? and 2 states that z>y therefore it is sufficient. C



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Joined: 15 Jan 2017
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Re: If x, y and z are integers, is x – y greater than y – z?
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26 Oct 2017, 13:29
rkvkvhariharan wrote: Imagine this question as distance on the number line. So we need all 3 points. So combining both statements,we get X>Z>Y. We found Z is lying between X and Y on number line. So now we get X is far away from Y than Y is from Z. Hence Ans is C. Loved your explanation. Even with ve numbers the distance element remains the same But just for my knowledge, if the stems said x> zand then z > y; would C still hold true? Thank you!



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Joined: 07 Jul 2012
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Re: If x, y and z are integers, is x – y greater than y – z?
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26 Oct 2017, 18:28
(1) x>z (no inf about y) [Clearly Insuff] (2) z>y (no inf about x) [Clearly Insuff] (1)&(2) x............>z..................>y Form the above number line, it is clear that xy>yz Answer: C.
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Re: If x, y and z are integers, is x – y greater than y – z? &nbs
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26 Oct 2017, 18:28






