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Is the range of integers 6, 3, y, 4, 5, and x greater than

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Is the range of integers 6, 3, y, 4, 5, and x greater than [#permalink] New post 20 Apr 2008, 11:12
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A
B
C
D
E

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77% (01:25) correct 23% (00:00) wrong based on 22 sessions
Is the range of integers 6, 3, y, 4, 5, and x greater than 9?

1) y > 3x
2) y > x > 3

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Re: OG DS Range [#permalink] New post 20 Apr 2008, 11:19
Statement 1: insuff
make x = -1 so y > -3 (range is or is not greater than 9 depending on what we pick)

Statement 2: insuff
make x = 4 so y > 4 (range is or is not greater than 9 depending on what we pick)

Combined Statements: sufficient
make x = 4 (most mitigating possibility) so y > 12
make y = 13 (most mitigating possibility)

--still, under greatest mitigation, range is from 3 to 13, which is greater than 9
--less mitigating choices for x and y would create even greater ranges

[C]
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Re: OG DS Range [#permalink] New post 20 Apr 2008, 11:21
jimmyjamesdonkey wrote:
Is the range of integers 6, 3, y, 4, 5, and x greater than 9?

1) y > 3x
2) y > x > 3


Answer C (I think)

1) Insuf. consider x=1 --> y>3. could be 4 or 10
2) Insuf. y>x>3 can be 5>4>3 or 100>5>3

Combined, we know x>3, which means y>12. take the next integer, y= 13 --> 13-3=10 which is greater than 9
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Re: OG DS Range [#permalink] New post 20 Apr 2008, 11:46
i get C as well.

from stat 1, we can have x=1 and therefore y=4, and range is not more than 9. Or, we can have x=1 and y=13, so range is more than 9. insuff.

from stat 2, we can have x=4 and y=5, and range is not more than 9. Or, we can have x=4 and y=13, so range is more than 9/ insuff.

Together. the minimum that x can be is 4, and so the minimum that y has to be is 13. this guarantees that range will always be greater than 9. suff.
Re: OG DS Range   [#permalink] 20 Apr 2008, 11:46
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Is the range of integers 6, 3, y, 4, 5, and x greater than

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