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If r>0 and s>0, is r/s < s/r? (1) r/3s = 1/4 (2) s= [#permalink ]
14 Oct 2005, 10:53

If r>0 and s>0, is r/s < s/r?
(1) r/3s = 1/4
(2) s= r+4

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(D)
statement 1: r/3s=1/4 or r/s = 3/4. s/r=4/3. r/s<s/r. sufficient
statement 2: s=r+4. is r/r+4 < r+4/r? yes it is, since r is positive. sufficient.

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I would think D.
Is r/s < s/r, r,s > 0
we can simplify inequality to:
Is r^2 < s^2
(1) r = 3/4s or r < s or r^2 < s^2
(2) s = r+4 or r < s or r^2 < s^2

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B it is....
as long as r and s are postive
R/S=3/4 (I) well if r and s are integers OK, but if they are fractions..then No...Insuff
EDIT: I thought an example would go a long way
r=3, s=4
r/s=3/4 OK then s/r =4/3 (clearly r/s<s/r)
now
r=1/2 s=2/3
r/s=3/4 but s/r = 1/3 (clearly r/s>s/r) Insuff...
(ii) S is bigger than R...

Last edited by

FN on 14 Oct 2005, 11:26, edited 1 time in total.

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fresinha12 wrote:

B it is.... as long as r and s are postive R/S=3/4 (I) well if r and s are integers OK, but if they are fractions..then No...Insuff (ii) S is bigger than R...

Can you give examples pls.

My understanding is:

if r,s > 0 and

R/S = 3/4 then

1 / (R/S) = 1/(3/4) OR

S/R = 4/3

therefore, R/S < S/R

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fresinha12 wrote:

B it is.... now r=1/2 s=2/3 r/s=3/4 but s/r = 1/3 (clearly r/s>s/r) Insuff...

r/s=3/4,

s/r = (2/3)/(1/2) = 2/3*2/1 = 4/3.

Please correct me if I am wrong.

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fresinha12 wrote:

B it is.... as long as r and s are postive R/S=3/4 (I) well if r and s are integers OK, but if they are fractions..then No...Insuff EDIT: I thought an example would go a long way r=3, s=4 r/s=3/4 OK then s/r =4/3 (clearly r/s<s/r) now r=1/2 s=2/3 r/s=3/4 but s/r = 1/3 (clearly r/s>s/r) Insuff... (ii) S is bigger than R...

r=1/2 s=2/3

then s/r = 4/3 not 1/3. Hence it is sufficient.

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OMG...how could I have messed that one up....

MY BAD>>>D IT IS>>>

now if I can just avoid this kind of stuff...I mean...jesus of nazarath..come on...

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Both r and s are positive, r/s < s/r if s > r
From (1), r/3s = 1/4 -> r/s = 3/4 -> 4r = 3s. This suggest s is larger and so r/s wilb less tha s/r
From (2), s = r+4. Again, we know s is larger so r/s < s/r.
D is the answer.

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