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# -21/2*m/2

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Moderator
Joined: 18 Apr 2015
Posts: 4895
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Kudos [?]: 976 [0], given: 4494

-21/2*m/2 [#permalink]  15 Oct 2017, 00:19
Expert's post
00:00

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

_________________
Director
Joined: 03 Sep 2017
Posts: 521
Followers: 1

Kudos [?]: 327 [1] , given: 66

Re: -21/2*m/2 [#permalink]  15 Oct 2017, 00:43
1
KUDOS
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 .

Manager
Joined: 22 Feb 2018
Posts: 90
Followers: 2

Kudos [?]: 64 [1] , given: 9

Re: -21/2*m/2 [#permalink]  02 Apr 2018, 12:08
1
KUDOS
-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.
Re: -21/2*m/2   [#permalink] 02 Apr 2018, 12:08
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