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If m/n = 3/8 then which of the following cannot be the value of n - m

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Bunuel
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If m/n = 3/8 then which of the following cannot be the value of n - m [#permalink] New post   06 May 2021, 01:19
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If m/n = 3/8 then which of the following cannot be the value of n - m ?

I. -25
II. 0
III. 12

A. I only
B. II only
C. III only
D. II and III only
E. I, II and III


M37-43

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B
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Bunuel
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Re: If m/n = 3/8 then which of the following cannot be the value of n - m [#permalink] New post   24 Nov 2021, 07:51
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Official Solution:


If \(\frac{m}{n} = \frac{3}{8}\) then which of the following cannot be the value of \(n - m\) ?

I. \(-25\)

II. \(0\)

III. \(12\)


A. I only
B. II only
C. III only
D. II and III only
E. I, II and III


First of all, notice that we are NOT told that \(m\) and \(n\) are integers.

\(\frac{m}{n} = \frac{3}{8}\), and \(n - m=-25\) has a solution: \(m = -15\), and \(n = -40\).

\(\frac{m}{n} = \frac{3}{8}\), and \(n - m=12\) has a solution: \(m =\frac{36}{5}\), and \(n =\frac{96}{5}\)

\(\frac{m}{n} = \frac{3}{8}\), and \(n - m=0\) does NOT have a solution because \(n - m=0\) means that \(n = m\) but \(\frac{m}{n} = \frac{3}{8}\) means that \(n \neq m\) .


Answer: B
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Re: If m/n = 3/8 then which of the following cannot be the value of n - m [#permalink] New post   Updated on: 08 May 2021, 06:15
Bunuel wrote:
If m/n = 3/8 then which of the following cannot be the value of n - m ?

I. -25
II. 0
III. 12

A. I only
B. II only
C. III only
D. II and III only
E. I, II and III

FRESH GMAT CLUB QUESTION


Given: \(\frac{m}{n}\) = \(\frac{3}{8} \)
\(m = \frac{3}{8}n\)
Asked: n - m?
\(n - m = n - \frac{3}{8}n\) = \(\frac{5n}{8}\)

1) Possible. \(\frac{5n}{8} = -25\)
\(n = -40, m = \frac{3}{8} * -40 = -15\), n - m = -25
2) \(\frac{5n}{8} = 0, n = 0, m = 0, but \frac{n}{m} = undefined\).
3) Possible. \(n =\frac{ 96}{5}, m = \frac{36}{5}\) = 12

B. IMO
Updated point 2.

Originally posted by Showmeyaa on 06 May 2021, 01:35.
Last edited by Showmeyaa on 08 May 2021, 06:15, edited 1 time in total.
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Bunuel
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Re: If m/n = 3/8 then which of the following cannot be the value of n - m [#permalink] New post   08 May 2021, 02:55
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Bunuel wrote:
If m/n = 3/8 then which of the following cannot be the value of n - m ?

I. -25
II. 0
III. 12

A. I only
B. II only
C. III only
D. II and III only
E. I, II and III

FRESH GMAT CLUB QUESTION


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Re: If m/n = 3/8 then which of the following cannot be the value of n - m [#permalink] New post   08 May 2021, 04:14
I think answer should be B as n-m=0 gives you n=m but in that case given statement m/n= 3/8 doesn't sustain.
Therefore, answer is B.
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Re: If m/n = 3/8 then which of the following cannot be the value of n - m [#permalink] New post   08 May 2021, 06:16
Bunuel wrote:
Bunuel wrote:
If m/n = 3/8 then which of the following cannot be the value of n - m ?

I. -25
II. 0
III. 12

A. I only
B. II only
C. III only
D. II and III only
E. I, II and III

FRESH GMAT CLUB QUESTION


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Hi Bunuel, I think the answer should be B indeed. I skipped the putting values back into the equation part.
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Re: If m/n = 3/8 then which of the following cannot be the value of n - m [#permalink] New post   11 May 2021, 22:29
Bunuel wrote:
Bunuel wrote:
If m/n = 3/8 then which of the following cannot be the value of n - m ?

I. -25
II. 0
III. 12

A. I only
B. II only
C. III only
D. II and III only
E. I, II and III

FRESH GMAT CLUB QUESTION


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answer is D.
m=3x, n= 8x, using x= -5, n-m gives -25. But 12 and 0 is not achievable.
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Re: If m/n = 3/8 then which of the following cannot be the value of n - m [#permalink] New post   11 May 2021, 23:54
The answer should be D.

If we take m/n=3x/8x than m-n=5x.

We can take any integer in place of x, which can not give 12.

Between 0 and -25, we can not get 0 as If we take X=0 than m/n=0/0 that is undefine.
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Re: If m/n = 3/8 then which of the following cannot be the value of n - m [#permalink] New post   13 May 2021, 05:08
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Lanline wrote:
The answer should be D.

If we take m/n=3x/8x than m-n=5x.

We can take any integer in place of x, which can not give 12.

Between 0 and -25, we can not get 0 as If we take X=0 than m/n=0/0 that is undefine.


Lanline and Niha01, the question does not mention integers anywhere.

n=96/5 and m=36/5, satisfies the condition for n-m=12. The answer should be B. We inherently jump to integers as soon as we see a well simplified ratio. Hope this helps! :)
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Re: If m/n = 3/8 then which of the following cannot be the value of n - m [#permalink] New post   13 Jul 2021, 05:29
I think the difference can be anything except 0 because we dont have any integer constraints.

3n = 8m

n - m = 596,74

works as well as

n - m = -10000

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Re: If m/n = 3/8 then which of the following cannot be the value of n - m [#permalink] New post   13 Jul 2021, 07:57
m/n = 3/8

m = 3x
n = 8x

n - m = 5x

x cannot be 0

All other values can be met as it is not mentioned that m and n need to be integers

Answer B

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Re: If m/n = 3/8 then which of the following cannot be the value of n - m [#permalink]
13 Jul 2021, 07:57
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