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What is the numerical value of the expression (3m - n)/(n - m)?

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What is the numerical value of the expression (3m - n)/(n - m)?  [#permalink]

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New post 14 Jan 2018, 06:01
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A
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C
D
E

Difficulty:

  55% (hard)

Question Stats:

46% (01:06) correct 54% (01:35) wrong based on 44 sessions

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Re: What is the numerical value of the expression (3m - n)/(n - m)?  [#permalink]

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New post 14 Jan 2018, 06:07
As we have 2 variable and 2 equations..it's c

study mode
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Re: What is the numerical value of the expression (3m - n)/(n - m)?  [#permalink]

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New post 14 Jan 2018, 06:13
Binggm14 wrote:
As we have 2 variable and 2 equations..it's c

study mode



Don't go with assumption always..
work on the equation..

Quote:
What is the numerical value of the expression \(\frac{(3m - n)}{(n - m)}\)?

\(\frac{(3m - n)}{(n - m)}=\frac{2m+m-n}{n-m}=\frac{2m}{n-m}+\frac{m-n}{n-m}=\frac{2m}{n-m}-1\)

(1) \(\frac{2m}{(n - m)} = \frac{7}{3}\)..
exactly what we are looking for..
\(\frac{2m}{n-m}-1=\frac{7}{3}-1=\frac{4}{3}\)
suff

(2) n – m = 6
nothing much
insuff

A
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: What is the numerical value of the expression (3m - n)/(n - m)?  [#permalink]

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New post 14 Jan 2018, 13:21
chetan2u I am not sure you can assume:
(m-n)/(n-m) =-1
If both m & n are negative then the division would lead to +1.

If such scenario is possible, then, there is more than one result possible and A can't be right.
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Re: What is the numerical value of the expression (3m - n)/(n - m)?  [#permalink]

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New post 14 Jan 2018, 19:17
bbg wrote:
chetan2u I am not sure you can assume:
(m-n)/(n-m) =-1
If both m & n are negative then the division would lead to +1.

If such scenario is possible, then, there is more than one result possible and A can't be right.



\(\frac{(m-n)}{(n-m)}=\frac{-(n-m)}{(n-m)}=-1\)

so what ever be the values of m and n, ans will be -1.... ofcourse the denominator cannot be 0 that is \(n-m\neq{0}..n\neq{m}\)

take for example n=-3 and m=-2...
\(\frac{(-2-(-3))}{(-3-(-2))}=\frac{-2+3}{-3+2}=\frac{1}{-1}=-1\)
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: What is the numerical value of the expression (3m - n)/(n - m)?  [#permalink]

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New post 16 Jan 2018, 17:38
Binggm14 wrote:
As we have 2 variable and 2 equations..it's c

study mode


chetan2u wrote:
Binggm14 wrote:
As we have 2 variable and 2 equations..it's c

study mode



Don't go with assumption always..
work on the equation..

Quote:
What is the numerical value of the expression \(\frac{(3m - n)}{(n - m)}\)?

\(\frac{(3m - n)}{(n - m)}=\frac{2m+m-n}{n-m}=\frac{2m}{n-m}+\frac{m-n}{n-m}=\frac{2m}{n-m}-1\)

(1) \(\frac{2m}{(n - m)} = \frac{7}{3}\)..
exactly what we are looking for..
\(\frac{2m}{n-m}-1=\frac{7}{3}-1=\frac{4}{3}\)
suff

(2) n – m = 6
nothing much
insuff

A

Okay thanks ..yeah ..it's A

study mode
Re: What is the numerical value of the expression (3m - n)/(n - m)? &nbs [#permalink] 16 Jan 2018, 17:38
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