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-21/2*m/2

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-21/2*m/2 [#permalink] New post 15 Oct 2017, 00:19
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Question Stats:

50% (01:22) correct 50% (00:53) wrong based on 26 sessions


\(\frac{\frac{-21}{2}*m}{2} = {\frac{7}{2}} *n\) and \(mn\neq{0}\)

Quantity A
Quantity B
\(3m\)
\(-n\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: -21/2*m/2 [#permalink] New post 15 Oct 2017, 00:43
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Carcass wrote:


\(\frac{\frac{-21}{2}*m}{2} = {\frac{7}{2}} *n\) and \(mn\neq{0}\)

Quantity A
Quantity B
\(3m\)
\(-n\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


Using the information above, \(\frac{-3}{2}*m = n\). Thus, quantity B becomes \(\frac{3}{2}*m\).

We have to compare \(3m\) and \(\frac{3}{2}*m\) but since there are no constraints on m excluded the fact that it can't be 0, we cannot say if m is positive or negative, thus we can't say which quantity is .

Answer D
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Re: -21/2*m/2 [#permalink] New post 02 Apr 2018, 12:08
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Answer: D (NOT SURE)
-21/2 * m / 2 = 7/2 *n
-21m/4 = 7/2 * n (after simplification)
-3m = 2n (after multiplying to 4/7)
3m = -2n (after multyplying to -1)
3m equals -2n and as they can’t be zero, they won’t be equal.
If m is positive, then n is negative. And -n is also positive. As 3m = -2n, -n is less than 3m as it is a less positive number.
If n is positive, then m is negative. Then -n is negative and 3m is also negative. As 3m = -2n, -n is bigger than 3m as it is a less negative value.
answer is D
Re: -21/2*m/2   [#permalink] 02 Apr 2018, 12:08
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