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Does r = 3?

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GMATBusters
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Does r = 3? [#permalink] New post  Updated on: 01 Nov 2018, 21:34
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Does r = 3?


(1) \(\frac{r}{3} = \frac{(27*27)}{(9*9*9)}\)

(2) \(3r = \frac{(27+27)}{(3+3)}\)
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Originally posted by GMATBusters on 01 Nov 2018, 08:33.
Last edited by Bunuel on 01 Nov 2018, 21:34, edited 1 time in total.
EDITED.
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Gladiator59
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Re: Does r = 3? [#permalink] New post  01 Nov 2018, 08:41
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gmatbusters wrote:
Does r = 3?
(1)\(\frac{r}{3} = \frac{(27*27)}{(9*9*9)}\)
(2) \(3r = \frac{(27*27)}{(3+3)}\)


We need to answer if r = 3? in Yes or No. Either one is a definite ans.

(1) We can find the value of r. Hence sufficient. (On solving r = 3 so answer is "Yes" but we need not find it as a deterministic answer is there without solving as well!)

(2) We can solve for r. Hence Sufficient! ( On solving we find that r does not equal 3 and answer is "No" , but again we need to solve to find this.)

Hence Option (D) is the choice.

Best,
Gladi

p.s - This is one example where the two statements both give a deterministic answer to the question and the answer is different for the two statements. But note, either one can be used to come up with the solution and hence D is the answer and not E. ( (1) + (2) together gives two values to r... but since (1) and (2) together are able to give answers we need not check (1) + (2) together. )
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Re: Does r = 3? [#permalink] New post  01 Nov 2018, 08:42
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gmatbusters wrote:
Does r = 3?
(1)\(\frac{r}{3} = \frac{(27*27)}{(9*9*9)}\)
(2) \(3r = \frac{(27*27)}{(3+3)}\)


St:1
r/3 = (27∗27)/(9∗9∗9) = 1
r=3
Sufficient

St:2

3r=(27∗27)/(3+3)
r= (27*27) /(6*3) = 81/2
answer confirmed NO ( sufficient)
D.
gmatbusters How we can get two different value of r from each statement?
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Re: Does r = 3? [#permalink] New post  01 Nov 2018, 08:49
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There was a typo, thanks for pointing out the typo.
the Question has been revised.
vishalkazone wrote:
gmatbusters wrote:
Does r = 3?
(1)\(\frac{r}{3} = \frac{(27*27)}{(9*9*9)}\)
(2) \(3r = \frac{(27*27)}{(3+3)}\)


St:1
r/3 = (27∗27)/(9∗9∗9) = 1
r=3
Sufficient

St:2

3r=(27∗27)/(3+3)
r= (27*27) /(6*3) = 81/2
answer confirmed NO ( sufficient)
D.
gmatbusters How we can get two different value of r from each statement?

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Re: Does r = 3? [#permalink]
01 Nov 2018, 08:49
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