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# For all numbers m and n, m◊n = m^2(m - n)/n^2. What is the value of 3◊

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
For all numbers m and n, m◊n = m^2(m - n)/n^2. What is the value of 3◊  [#permalink]

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05 Mar 2019, 02:47
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Difficulty:

5% (low)

Question Stats:

96% (00:23) correct 4% (00:30) wrong based on 26 sessions

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For all numbers m and n, $$m◊n = \frac{m^2(m - n)}{n^2}$$. What is the value of 3◊2 ?

A. 1/2

B. 9/4

C. 3/2

D. 3

E. 9

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Concentration: Accounting, Finance
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Re: For all numbers m and n, m◊n = m^2(m - n)/n^2. What is the value of 3◊  [#permalink]

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05 Mar 2019, 03:05
Bunuel wrote:
For all numbers m and n, $$m◊n = \frac{m^2(m - n)}{n^2}$$. What is the value of 3◊2 ?

A. 1/2

B. 9/4

C. 3/2

D. 3

E. 9

Given,

$$m◊n = \frac{m^2(m - n)}{n^2}$$

$$3◊2 = \frac{3^2(3 - 2)}{2^2}$$

$$3◊2 = \frac{9*1}{4}$$

$$3◊2 = \frac{9}{4}$$

B is the correct answer.
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Re: For all numbers m and n, m◊n = m^2(m - n)/n^2. What is the value of 3◊  [#permalink]

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05 Mar 2019, 09:10
Bunuel wrote:
For all numbers m and n, $$m◊n = \frac{m^2(m - n)}{n^2}$$. What is the value of 3◊2 ?

A. 1/2

B. 9/4

C. 3/2

D. 3

E. 9

substitute m=3 and n=2
$$m◊n = \frac{m^2(m - n)}{n^2}$$
we get
9/4
IMO B
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Re: For all numbers m and n, m◊n = m^2(m - n)/n^2. What is the value of 3◊  [#permalink]

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07 Mar 2019, 07:59
Bunuel wrote:
For all numbers m and n, $$m◊n = \frac{m^2(m - n)}{n^2}$$. What is the value of 3◊2 ?

A. 1/2

B. 9/4

C. 3/2

D. 3

E. 9

Letting m = 3 and n = 2, we have:

3^2(3 - 2)/2^2 = 9/4

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Re: For all numbers m and n, m◊n = m^2(m - n)/n^2. What is the value of 3◊   [#permalink] 07 Mar 2019, 07:59
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# For all numbers m and n, m◊n = m^2(m - n)/n^2. What is the value of 3◊

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