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Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]
 25 Jun 2012, 03:03
Question Stats:
56% (01:51) correct
43% (01:19) wrong based on 1 sessions
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectIs the range of the integers 6, 3, y, 4, 5, and x greater than 9? (1) y > 3x (2) y > x > 3 Diagnostic Test
Question: 32
Page: 25
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Re: Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]
25 Jun 2012, 03:04
SOLUTIONIs the range of the integers 6, 3, y, 4, 5, and x greater than 9?Given integers are: {3, 4, 5, 6, x, y} (1) y > 3x. If x=1 and y=4 then the range=6-1=5<9 but if x=100 then the range>9. Not sufficient. (2) y > x > 3. If x=4 and y=5 then the range=6-3=3<9 but if x=100 then the range>9. Not sufficient. (1)+(2) From x > 3 we have that the least value of x is 4, and from y > 3x=12 we have that the least value of y is 13, hence the least value of the range is 13-3=10>9. Sufficient. Answer: C.
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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. NEW!!!
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Joined: 29 Mar 2012
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Re: Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]
25 Jun 2012, 08:41
Hi, Range = Largest value - smallest value. 6, 3, y, 4, 5, and x, where x & y are integers Using (1), y>3x, if x=1, then y = 4, 5,..100.... in each case range can be 5, 6,....So, range is greater than 5. Insufficient. Using (2), y>x>3. Minimum value of x = 4, y=5,6,7... We can't say whether range is greater than 9. Combining both statements; x_{min} = 4& since, y > 3x, y_{min}=13,thus, 3, 4, 4, 5, 6, & 13 has range (13-3)=10, which is greater than 9 and on increasing x, range will also increase. Thus, answer is (C), Regards,
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Re: Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]
29 Jun 2012, 04:36
SOLUTIONIs the range of the integers 6, 3, y, 4, 5, and x greater than 9?Given integers are: {3, 4, 5, 6, x, y} (1) y > 3x. If x=1 and y=4 then the range=6-1=5<9 but if x=100 then the range>9. Not sufficient. (2) y > x > 3. If x=4 and y=5 then the range=6-3=3<9 but if x=100 then the range>9. Not sufficient. (1)+(2) From x > 3 we have that the least value of x is 4, and from y > 3x=12 we have that the least value of y is 13, hence the least value of the range is 13-3=10>9. Sufficient. Answer: C.
_________________
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
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. NEW!!!
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. NEW!!!
What are GMAT Club Tests?
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Find out what's new at GMAT Club - latest features and updates
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Re: Is the range of the integers 6, 3, y, 4, 5, and x greater
[#permalink]
29 Jun 2012, 04:36
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