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-21/2*m/2
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Carcass
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Joined: 18 Apr 2015
Posts: 18323
GRE 1: Q160 V160
-21/2*m/2 [#permalink] New post  15 Oct 2017, 00:19
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\(\frac{\frac{-21}{2}*m}{2} = {\frac{7}{2}} *n\) 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.
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IlCreatore
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Joined: 03 Sep 2017
Posts: 518
Re: -21/2*m/2 [#permalink] New post  15 Oct 2017, 00:43
2
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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Fatemeh
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Joined: 22 Feb 2018
Posts: 163
Re: -21/2*m/2 [#permalink] New post  02 Apr 2018, 12:08
2
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
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aishumurali
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Joined: 23 May 2021
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Re: -21/2*m/2 [#permalink] New post  29 Aug 2021, 21:30
1
Here value depends on n.

once you solve the eqn you get : m / n = -2 / 3.
Therefore m = -2/3 * n

QA becomes 3m which is -2n
QB is n .

Therefore you dont know value of n Hence ans is D
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