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Statement 1: y lies between x and z. y may be greater or smaller than x hence NOT SUFFICIENT

Statement 2: z < x < 0 No mention of y hence NOT SUFFICIENT

Combining the two statements z < x < 0 and y is between x and z

i.e. z < y < x < 0 SUFFICIENT

Answer: Option C
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Target question:Is y – z < x – z? This is a good candidate for rephrasing the target question. Take y – z < x – z and add z to both sides to get: y < x. So,...... REPHRASED target question:Is y < x?

Statement 1: y lies between x and z. BE CAREFUL, we cannot conclude that x < y < z, because it could also be the case that z < y < x In both cases, y lies between x and z on the number line. These two possible scenarios yield different answers to the REPHRASED target question. Case a: if x < y < z, then we can see that x < y. Case b: if z < y < x, then we can see that y < x. Since we cannot answer the REPHRASED target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: z < x < 0 There's no information about y. So, there's no way to determine whether or not y < x Since we cannot answer the REPHRASED target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined Statement 1 tells us that EITHER x < y < z OR z < y < x Statement 2 tells us that z < x, which RULES OUT the possibility that x < y < z So, it MUST be the case that z < y < x, which means y < x So, the answer to the REPHRASED target question is "YES. It IS the case that y < x" Since we can answer the REPHRASED target question with certainty, the combined statements are SUFFICIENT

Answer: C

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Brent Hanneson – GMATPrepNow.com

Originally posted by GMATPrepNow on 27 Feb 2017, 08:06.
Last edited by GMATPrepNow on 22 Mar 2017, 06:24, edited 1 time in total.

Statements 1 and 2 combined Statement 1 tells us that EITHER x < y < z OR z < y < x Statement 2 tells us that z < x, which RULES OUT the possibility that x < y < z So, it MUST be the case that x < y < z, which means x < y So, the answer to the REPHRASED target question is "NO. It is definitely NOT the case that y < x" Since we can answer the REPHRASED target question with certainty, the combined statements are SUFFICIENT

Answer: C

Dear Brent, While you RULES OUT the possibility that x < y < z, you then used the same ruled out possibility to reach the conclusion. You should have taken the other possibility that x < y < z and hence y<x . So, the answer you the target question should be YES.

Dear Brent, While you RULES OUT the possibility that x < y < z, you then used the same ruled out possibility to reach the conclusion. You should have taken the other possibility that x < y < z and hence y<x . So, the answer you the target question should be YES.

If we add z to both sides of the equation, we can simplify the given question to read:

Is y < x ?

Statement One Alone:

y lies between x and z.

Although we know that y is between x and z, we still do not have enough information to solve the question. For instance, if z = -4, y = -2, and x = -1, then y < x; however if x = -4, y = -2, and z = -1, then y > x. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

z < x < 0

Since we do not have any information regarding y, statement two alone is not sufficient to answer the question.

Statements One and Two Together:

Using the information from statements one and two, we can determine that z < y < x < 0, and thus, y is less than x.

Answer: C
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