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If a < x < b and c < y < d, is x < y ?

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If a < x < b and c < y < d, is x < y ? [#permalink] New post 24 Sep 2012, 04:19
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

80% (01:48) correct 20% (01:06) wrong based on 200 sessions
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

If a < x < b and c < y < d, is x < y ?

(1) a < c
(2) b < c

Practice Questions
Question: 48
Page: 279
Difficulty: 600


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Re: If a < x < b and c < y < d, is x < y ? [#permalink] New post 24 Sep 2012, 07:51
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Statement 1: A <c... insufficient...


Statement. 2 ...sufficient..because B<c.. X must be less than Y..
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Re: If a < x < b and c < y < d, is x < y ? [#permalink] New post 24 Sep 2012, 04:19
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SOLUTION

If a < x < b and c < y < d, is x < y ?

(1) a < c. From this statement we cannot determine whether x < y. For example, consider that a and c are some negative numbers and x and y are some positive numbers, we can have that x<y as well as y<x. Not sufficient.

(2) b < c. Since, b<c, then a < x < b<c < y < d --> x<y. Sufficient.

Answer: B.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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 a < x < b and c < y < d, is x < y ? [#permalink] New post 24 Sep 2012, 04:34
1) Insufficient
2) Sufficient

Answer B
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Re: If a < x < b and c < y < d, is x < y ? [#permalink] New post 24 Sep 2012, 08:21
Bunuel wrote:
If a < x < b and c < y < d, is x < y ?

(1) a < c
(2) b < c



x < y?

(1)
a < x < b
c < y < d
and a < c
these 2 eqns can be combined in multiple ways

a...x...b...c...y...d
or
a...c..y...d...x..b
etc.
Thus, x can be greater or lesser than y
So, this is not sufficient

(2)
a < x < b
c < y < d
and b < c

these 3 eqns can be fit only in one way
a...x...b...c...y...d
=> x < y

Thus this is sufficient.

Hence B
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Re: If a < x < b and c < y < d, is x < y ? [#permalink] New post 28 Sep 2012, 04:38
Expert's post
SOLUTION

If a < x < b and c < y < d, is x < y ?

(1) a < c. From this statement we cannot determine whether x < y. For example, consider that a and c are some negative numbers and x and y are some positive numbers, we can have that x<y as well as y<x. Not sufficient.

(2) b < c. Since, b<c, then a < x < b<c < y < d --> x<y. Sufficient.

Answer: B.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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.


What are GMAT Club Tests?
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Re: If a < x < b and c < y < d, is x < y ? [#permalink] New post 28 Sep 2012, 06:19
Expert's post
This one is tricky because we could assume right away that we need both stats ar at least 3 elements to have an answer

1) a < c we do not know nothing about B (in this case we can see B as a pivotal element)

2) b < c thi is suff because in the chain a < b AND b < c the c < d........

B is the answer
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Re: If a < x < b and c < y < d, is x < y ?   [#permalink] 28 Sep 2012, 06:19
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