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# If a>b>c>0, is c<3? (1) 1/a>1/3 (2)

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Current Student
Joined: 11 May 2008
Posts: 551
If a>b>c>0, is c<3? (1) 1/a>1/3 (2) [#permalink]

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28 Jul 2008, 02:45
. If a>b>c>0, is c1/3
(2) 1/a+1/b+1/c=1
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

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Joined: 18 Aug 2006
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28 Jul 2008, 03:18
My ans is A.
(1): 1/a > 1/3 => c < a < 3 : suff
(2): insuff, we can't conclude anything about a,b,c
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haveaniceday

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Joined: 28 Dec 2005
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28 Jul 2008, 05:25
i had the same response, A.

from stat 1, for that inequality to hold, a must be less than 3, which in turn means c is less than 3.
Senior Manager
Joined: 19 Mar 2008
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28 Jul 2008, 08:47
arjtryarjtry wrote:
. If a>b>c>0, is c1/3
(2) 1/a+1/b+1/c=1
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

(1)
1/a > 1/3
3 > a > c
Suff

(2) 1/a+1/b+1/c = 1
think about 1/3+1/3+1/3 = 1
and a>b>c
if c = or > 3, a and b will be > 3, then the sum of 1/a+1/b+1/c will be less than 1, so c will not be = or > 3
Suff

Ans is D

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Re: a>b>c>0   [#permalink] 28 Jul 2008, 08:47
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# If a>b>c>0, is c<3? (1) 1/a>1/3 (2)

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