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# If m and n are positive integers, is m/n < 3/7 ?

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Math Expert
Joined: 02 Sep 2009
Posts: 48051
If m and n are positive integers, is m/n < 3/7 ?  [#permalink]

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21 Mar 2018, 05:39
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Difficulty:

55% (hard)

Question Stats:

48% (01:27) correct 52% (02:02) wrong based on 33 sessions

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If m and n are positive integers, is $$\frac{m}{n} < \frac{3}{7}$$ ?

(1) $$\frac{m}{n} < 0.42$$

(2) $$(\frac{m}{n})^{(-1)} > 2.5$$

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Joined: 07 Jan 2016
Posts: 735
Location: India
GMAT 1: 710 Q49 V36
If m and n are positive integers, is m/n < 3/7 ?  [#permalink]

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21 Mar 2018, 06:28
Bunuel wrote:
If m and n are positive integers, is $$\frac{m}{n} < \frac{3}{7}$$ ?

(1) $$\frac{m}{n} < 0.42$$

(2) $$(\frac{m}{n})^{(-1)} > 2.5$$

1) $$\frac{m}{n} < 0.42$$

$$\frac{m}{n} < \frac{3}{7}$$

3/7 = .428

m/n < .42

is m/n < .428
yes

sufficient

2) $$(\frac{m}{n})^{(-1)} > 2.5$$

n/m >2.5

m/n < 0.4

sufficient

(d) imo
Senior Manager
Joined: 15 Jan 2017
Posts: 367
Re: If m and n are positive integers, is m/n < 3/7 ?  [#permalink]

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27 Mar 2018, 00:51
D)

3/7 = 0.4285.... (recurring)

1) m/n < 0.42. Hence denominator is more than 7. (ex: 3/8). Or we take a value like 0.4 which is 2/5 and check. It is SUFF
2) m/n ^ -1 > 2.5
n/ m > 2.5
so denominator is combination of even and odd which is a non recurring decimal. so m/ n can 10/26, 2/ 5.2 so on which is also sufficient.

Hence D.

What is the OE?
Re: If m and n are positive integers, is m/n < 3/7 ? &nbs [#permalink] 27 Mar 2018, 00:51
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