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If x, y, and z are three integers, are they consecutive inte

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If x, y, and z are three integers, are they consecutive inte  [#permalink]

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New post 03 Jan 2014, 06:21
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

If x, y, and z are three integers, are they consecutive integers?

(1) z - x= 2
(2) x < y < z

Data Sufficiency
Question: 20
Category: Arithmetic Properties of numbers
Page: 154
Difficulty: 600


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Re: If x, y, and z are three integers, are they consecutive inte  [#permalink]

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New post 03 Jan 2014, 06:22
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SOLUTION

If x, y, and z are three integers, are they consecutive integers?

(1) z - x= 2 --> z = x + 2. If y = x+1, then the answer is YES, otherwise the answer is NO. Not sufficient.

(2) x < y < z. Clearly insufficient.

(1)+(2) We have that x < y < x + 2, thus y = x+1 (there is only one integer between x and x + 2). Sufficient.

Answer: C.
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Re: If x, y, and z are three integers, are they consecutive inte  [#permalink]

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New post 03 Jan 2014, 12:15
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C

statement 1. x=9 y=20 z=11 it can be anything.===insufficient.


statement2. x<y<y. again insufficient..

both statement togather...8<9<10 or it cud be any sequence.. Sufficient. Ans is c.
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Re: If x, y, and z are three integers, are they consecutive inte  [#permalink]

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New post 04 Jan 2014, 10:14
Statement (1) does not give any information about y. So, insufficient.
Statement (2) tells that x<y<z; it could be 8<9<10 or 5<10<15; So, insufficient.

Both combined gives us the clue that x and z differ by 2 and that y is between x and z.

Hence, (C) is sufficient.
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Re: If x, y, and z are three integers, are they consecutive inte  [#permalink]

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New post 05 Jan 2014, 11:25
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

If x, y, and z are three integers, are they consecutive integers?

(1) z - x= 2
(2) x < y < z


Statement 1) z is greater than x by 2 , we don't know about y. Not sufficient.
Statement 2) the integers need not be consecutive. Not sufficient.

Combining the two statements, z-x = 2 so y can to be between x and z as all are integers. Hence option C)
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Re: If x, y, and z are three integers, are they consecutive inte  [#permalink]

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New post 05 Jan 2014, 12:25
SOLUTION

If x, y, and z are three integers, are they consecutive integers?

(1) z - x= 2 --> z = x + 2. If y = x+1, then the answer is YES, otherwise the answer is NO. Not sufficient.

(2) x < y < z. Clearly insufficient.

(1)+(2) We have that x < y < x + 2, thus y = x+1 (there is only one integer between x and x + 2). Sufficient.

Answer: C.
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New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: If x, y, and z are three integers, are they consecutive inte  [#permalink]

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