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

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Bunuel
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If m and n are positive integers, is m/n = 3/7 ? [#permalink] New post  20 Aug 2018, 00:19
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E

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


M36-85

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Re: If m and n are positive integers, is m/n = 3/7 ? [#permalink] New post  20 Aug 2018, 10:29
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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

Answer C.
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Bunuel
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Re: If m and n are positive integers, is m/n = 3/7 ? [#permalink] New post  11 Nov 2021, 03:34
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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) \(\frac{2}{5} < \frac{m}{n} < \frac{6}{11}\)


M36-85


Official Solution:


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

(1) \(n = 7\). Not sufficient.

(2) \(\frac{2}{5} < \frac{m}{n} < \frac{6}{11}\). . Not sufficient.

(1)+(2) Plug \(n = 7\) into (2):

\(\frac{2}{5} < \frac{m}{7} < \frac{6}{11}\).

Multiply by 7: \(\frac{14}{5} < m < \frac{42}{11}\).

Approximate: \(2.something < m < 3.something \).

Since given that \(m\) is an integer, then \(m=3\). Sufficient.


Answer: C
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Re: If m and n are positive integers, is m/n = 3/7 ? [#permalink] New post  20 Aug 2018, 01:31
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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.
C is the answer.
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Re: If m and n are positive integers, is m/n = 3/7 ? [#permalink] New post  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] New post  24 Dec 2018, 01:49
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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) \(\frac{2}{5} < \frac{m}{n} < \frac{6}{11}\)


Par of GMAT CLUB'S New Year's Quantitative Challenge Set


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Re: If m and n are positive integers, is m/n = 3/7 ? [#permalink] New post  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] New post  08 Oct 2019, 05:39
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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) \(\frac{2}{5} < \frac{m}{n} < \frac{6}{11}\)


Asked: If m and n are positive integers, is \(\frac{m}{n} = \frac{3}{7}\) ?


(1) \(n = 7\)
Since m is unknown
NOT SUFFICIENT

(2) \(\frac{2}{5} < \frac{m}{n} < \frac{6}{11}\)
There are infinite fractions between 2/5 and 6/11
NOT SUFFICIENT

(1) + (2)
(1) \(n = 7\)
(2) \(\frac{2}{5} < \frac{m}{n} < \frac{6}{11}\)
\(\frac{2}{5} < \frac{m}{7} < \frac{6}{11}\)
m> 14/5 = 2.8; m>2
m< 42/11 ; m<4
m = 3 since m is an integer
SUFFICIENT

IMO C
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