Does nm = 40? : GMAT Data Sufficiency (DS)
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# Does nm = 40?

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01 May 2012, 00:29
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93% (01:22) correct 7% (00:25) wrong based on 135 sessions

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Does nm =40?

(1) 10/n = m/4
(2) 5n = 20 and 8m = 80

[Reveal] Spoiler:
a) 10/n = m/4
if we consider different signs of n & m
nm=40 or nm=-40
NS

b) 5n=20 => n=4
8m = 80 =>m=10
=> nm=40 ---Sufficient

Guys do we need to consider that a) is providing ratio so we don't need to consider -ve signs.
[Reveal] Spoiler: OA

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Last edited by Bunuel on 12 Jun 2013, 03:53, edited 3 times in total.
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Re: Why we dont need to consider negative values here [#permalink]

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01 May 2012, 00:44
Does nm =40?

(1) $$\frac{10}{n} = \frac{m}{4}$$--> cross multiply $$40=mn$$. Sufficient. So, as you can see we have only one value for $$mn$$

(2) 5n = 20 and 8m = 80 --> $$n=4$$ and $$m=10$$ --> $$mn=40$$. Sufficient.

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Re: Why we dont need to consider negative values here [#permalink]

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01 May 2012, 04:25
Bunuel wrote:
Does nm =40?

(1) $$\frac{10}{n} = \frac{m}{4}$$--> cross multiply $$40=mn$$. Sufficient. So, as you can see we have only one value for $$mn$$

(2) 5n = 20 and 8m = 80 --> $$n=4$$ and $$m=10$$ --> $$mn=40$$. Sufficient.

Thanks.............
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Re: Does nm =40? (1) 10/n = m/4 (2) 5n = 20 and 8m = 80 [#permalink]

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17 Jun 2012, 15:48

At first glance, I thought 10/n = m/4 was not sufficient. Using cross multiplication, I was able to get mn=40. Rephrasing the question, I thought the question needed values for m and n. Not the case for this DS.
Re: Does nm =40? (1) 10/n = m/4 (2) 5n = 20 and 8m = 80   [#permalink] 17 Jun 2012, 15:48
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