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GMatPrep-DS [#permalink] New post 09 Sep 2007, 07:31
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A
B
C
D
E

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Can some please explain this.

From 1) the inequality becomes is r^2 + 2 > r^2, regardless of r being postive or negative or 0, the ineqiality holds good.

From 2) it does not say anything about p.

please explain why the answer is not A.
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 [#permalink] New post 09 Sep 2007, 07:39
Just plug in the numbers once negative than positive, you will see that they are siffices together

Ans: C
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Re: GMatPrep-DS [#permalink] New post 16 Sep 2007, 10:06
zion wrote:
Can some please explain this.

From 1) the inequality becomes is r^2 + 2 > r^2, regardless of r being postive or negative or 0, the ineqiality holds good.

From 2) it does not say anything about p.

please explain why the answer is not A.



Ans can not be A.

Let's take r = 0 then as per ST1 p=r
So (1/p) = (1/0) which is not defined.

If we combine ST1 and ST2,
Then "r" should be greater than 0 and in this case, 1/P will always be greater than r/(r^2+2).
You can verify this by putting any value of r >0.

Hence C.

- Brajesh
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 [#permalink] New post 16 Sep 2007, 11:20
Ferihere wrote:
Just plug in the numbers once negative than positive, you will see that they are siffices together

Ans: C


I am not sure if thats the correct way. Even if you substiute once -ve and one +ve number , you should still get A .
I think brajesh is correct that we need to consider the number 0 here.
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 [#permalink] New post 16 Sep 2007, 12:19
1/p > r/(r^2+2) ---> true ?

statement 1

p = r

1/p > p/(p^2+2)

1 > p^2/(p^2+2) ---> if p>0

p^2+2 > p^2

2 > 0 ---> true

1 < p^2/(p^2+2) ---> if p<0

Note ! if you double by p to get this outcome you have doubled by a negative number ! to get p^2 you need to flip signs !!

p^2+2 < P^2

2 < 0 ---> false

insufficent

statement 2

r > 0

insufficent

both statements

since r = p

1/p > p/(p^2+2)

1 > p^2/(p^2+2) ---> if p>0 ---> given

p^2+2 > p^2

2 > 0 ---> true

sufficient

the answer is (C)

:)
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 [#permalink] New post 16 Sep 2007, 22:15
St1:
If p = r = 2,
1/2 > 2/6 ? --> yes.

If p = r = -2
-1/2 > -2/6 --> No.

Insufficient.

St2:
Nothing about p. insufficient.

St1 & St2:
If p = r = 2,
1/2 > 2/6? --> yes.

If p = r = 1/2
2 > 2/9? --> yes.

Sufficient.

Ans C
  [#permalink] 16 Sep 2007, 22:15
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