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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
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If m and n are positive integers, is m/n = 3/7 ?  [#permalink]

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20 Aug 2018, 00:19
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Difficulty:

65% (hard)

Question Stats:

60% (02:08) correct 40% (02:07) wrong based on 157 sessions

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GMAT CLUBT TESTS' FRESH QUESTION:

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

(1) $$n = 7$$

(2) $$\frac{2}{5} < \frac{m}{n} < \frac{6}{11}$$

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Re: If m and n are positive integers, is m/n = 3/7 ?  [#permalink]

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20 Aug 2018, 01:31
1
1
Clearly statement 1 is insufficient.
from 2, 0.4< m/n <0.54.
Possible values are 5/11 and 4/9 and even 3/7.
Hence insufficient.
Combining both gives N=7.
from this the only possible value is 3/7.
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Re: If m and n are positive integers, is m/n = 3/7 ?  [#permalink]

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20 Aug 2018, 07:21
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I think answer is E, we may or may not get 3/7 from combining d statements, hence E,

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Re: If m and n are positive integers, is m/n = 3/7 ?  [#permalink]

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20 Aug 2018, 10:29
3
Bunuel wrote:

GMAT CLUBT TESTS' FRESH QUESTION:

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

(1) $$n = 7$$

(2) $$\frac{2}{5} < \frac{m}{n} < \frac{6}{11}$$

Here is my approach.
3/7=0.42 (approx.) --> Is $$m=0.42*n$$ ?

(1) $$n = 7$$ --> no info about m --> Not sufficient

(2) $$\frac{2}{5} < \frac{m}{n} < \frac{6}{11}$$ --> 0.4 < $$\frac{m}{n}$$ < 0.5 (approx.) --> $$0.4*n < m < 0.5*n$$--> Not sufficient

(1)+(2) Plugging $$n=7$$ into inequation: $$0.4*7<m<0.5*7$$ --> $$2.8<m<3.5$$ --> $$m=3$$ --> $$\frac{m}{n} = \frac{3}{7}$$ --> Sufficient

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Re: If m and n are positive integers, is m/n = 3/7 ?  [#permalink]

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24 Dec 2018, 01:49
Bunuel wrote:

GMAT CLUBT TESTS' FRESH QUESTION:

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

(1) $$n = 7$$

(2) $$\frac{2}{5} < \frac{m}{n} < \frac{6}{11}$$

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Re: If m and n are positive integers, is m/n = 3/7 ?  [#permalink]

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24 Dec 2018, 02:04
Bunuel wrote:

GMAT CLUBT TESTS' FRESH QUESTION:

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

(1) $$n = 7$$

(2) $$\frac{2}{5} < \frac{m}{n} < \frac{6}{11}$$

#1: clearly in sufficient as no info of m given
#2: range of m/n not clear so in sufficeint

from 1&2: 2/5<m/7<6/11

or say 14/5<m<42/11
2.8<m<3.8

since m has to be an integer so only value in that range would be 3 so m=3 and n = 7 sufficient IMO C
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Re: If m and n are positive integers, is m/n = 3/7 ?   [#permalink] 24 Dec 2018, 02:04
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