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data suffciency

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data suffciency

by vaivish » Fri Aug 01, 2008 1:42 am
If a>b>c>0, is c<3?
(1) 1/a>1/3
(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.


OA is D
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by pepeprepa » Fri Aug 01, 2008 1:51 am
You should post it in data sufficiency, it would be more logical.
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by Vignesh.4384 » Fri Aug 01, 2008 4:03 am
IMO D.

Statement 1 is straigtforward.

Statement 2 :
Question says a>b>c>0.

if c = 3 and b>c and a>b
then the sum of their reciproicals will never be equal to 1.

Regards,
Vignesh
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by raunekk » Fri Aug 01, 2008 4:22 am
can anyone pls explain me the 2nd statement...
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by Vignesh.4384 » Fri Aug 01, 2008 4:28 am
Hi raunekk,

Even i was wondering for some time about the second statement.
It is actually very easy .. I wil try 2 explain using a eg.

just assume c = 3.
question says a>b>c
so lets take b = 4 and a = 5.

Try adding
(1/a) + (1/b) + (1/c) -----> sum wil always lesser than 1

take c = 4 then b = 5 and a = 6.. try adding them again .. --> sum wil be less than 1

Thats cos a , b , c are in the denominator.

Hopue u understood
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by raunekk » Fri Aug 01, 2008 4:45 am
@Vignesh.4384

thanks for the immediate response.. i really appreciate it!!

But my problem is.. i took various values for C<3..

But then too i am not getting 1..
:(

can u pls let me know ,wat vales for C<3 did u get 2nd statement equal to 1..

thx
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by Vignesh.4384 » Fri Aug 01, 2008 4:58 am
hi raunekk,


see these set of values.

c = 2; b= 3; a = 6.

the sum wil be 1. :wink:

Reagrds,
Vignesh
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by raunekk » Fri Aug 01, 2008 5:07 am
ohh...

i was considering C<3 .. and a<b<C
,,,

my mistake..

its c<b<a...


thank a lot... i got it:)
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