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If m and n are positive integers is m/n an integer?

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sunita123
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If m and n are positive integers is m/n an integer? [#permalink] New post   13 Dec 2014, 13:55
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If m and n are positive integers is m/n an integer?

(1) m is a multiple of 14
(2) n is a divisor of 14

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how c is the answer ?

say m =14, n=28.
m/n=1/2, am i missing anything?


M01-06

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jayanth7290
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Re: If m and n are positive integers is m/n an integer? [#permalink] New post   13 Dec 2014, 15:46
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sunita123 wrote:
If m and n are positive integers is m/n an integer?
(1) m is a multiple of 14
(2) n is a divisor of 14

how c is the answer ?

say m =14, n=28.
m/n=1/2, am i missing anything?


The statement 2 was n is divisor of 14 it means 14,7,2,1 u considered it a multiple of 14 so u got fraction ..

ex m = 14 * a and n= 14/ a where a is a positive number m/n gives you a^2 ..SO u get an integer I hope u got it ! :-D
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Re: If m and n are positive integers is m/n an integer? [#permalink] New post   13 Dec 2014, 15:53
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ah yes :-D my bad... Thank you!!



jayanth7290 wrote:
sunita123 wrote:
If m and n are positive integers is m/n an integer?
(1) m is a multiple of 14
(2) n is a divisor of 14

how c is the answer ?

say m =14, n=28.
m/n=1/2, am i missing anything?


The statement 2 was n is divisor of 14 it means 14,7,2,1 u considered it a multiple of 14 so u got fraction ..

ex m = 14 * a and n= 14/ a where a is a positive number m/n gives you a^2 ..SO u get an integer I hope u got it ! :-D
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Re: If m and n are positive integers is m/n an integer? [#permalink] New post   15 Dec 2014, 07:51
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If \(m\) and \(n\) are positive integers is \(\frac{m}{n}\) an integer?

(1) \(m\) is a multiple of 14. Not sufficient as no info about \(n\).

(2) \(n\) is a divisor of 14. Not sufficient as no info about \(m\).

(1)+(2) As from (2) \(n\) is a divisor of 14 then it must be a divisor of every multiple of 14, therefore it's a divisor of \(m\) too. Sufficient.

Answer: C.

M01-06
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Re: If m and n are positive integers is m/n an integer? [#permalink] New post   17 Jul 2017, 20:14
Bunuel wrote:
If \(m\) and \(n\) are positive integers is \(\frac{m}{n}\) an integer?

(1) \(m\) is a multiple of 14. Not sufficient as no info about \(n\).

(2) \(n\) is a divisor of 14. Not sufficient as no info about \(m\).

(1)+(2) As from (2) \(n\) is a divisor of 14 then it must be a divisor of every multiple of 14, therefore it's a divisor of \(m\) too. Sufficient.

Answer: C.

M01-06


This question asks is m a multiple of "n"?

St 1

M is a multiple of 14- obviously insufficient no info about n - we just know

M/ 7 x 2 = some integer X therefore M= 7 x 2 x K (some integer)

St 2

N is a divisor of 14 just means N is a factor of 14- obiously insuff no info about M

St 1 and St 2

7 x 2 x k/ any factor of 14 = integer

7 x 2 x k / 14 = integer for example as Bunuel explained

C
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Re: If m and n are positive integers is m/n an integer? [#permalink] New post   16 May 2023, 13:57
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Re: If m and n are positive integers is m/n an integer? [#permalink]
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