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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  If f(x,y) = 10x/2x+3y+20y/3x+2y, where 0<x<y, which of the following c

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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 8011
GMAT 1: 760 Q51 V42 GPA: 3.82
If f(x,y) = 10x/2x+3y+20y/3x+2y, where 0<x<y, which of the following c  [#permalink]

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Difficulty:   95% (hard)

Question Stats: 34% (02:35) correct 66% (02:52) wrong based on 38 sessions

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[GMAT math practice question]

If $$f(x,y) = \frac{10x}{2x+3y}+\frac{20y}{3x+2y}$$, where $$0<x<y$$, which of the following could be the value of $$f(x,y)$$?

$$A.8$$
$$B. 10$$
$$C. 12$$
$$D. 14$$
$$E. 16$$

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Joined: 18 Aug 2017
Posts: 5009
Location: India
Concentration: Sustainability, Marketing
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Re: If f(x,y) = 10x/2x+3y+20y/3x+2y, where 0<x<y, which of the following c  [#permalink]

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MathRevolution wrote:
[GMAT math practice question]

If $$f(x,y) = \frac{10x}{2x+3y}+\frac{20y}{3x+2y}$$, where $$0<x<y$$, which of the following could be the value of $$f(x,y)$$?

$$A.8$$
$$B. 10$$
$$C. 12$$
$$D. 14$$
$$E. 16$$

I am not getting 1 definite answer value
x=1,y=2
x=4,y=5
x=2,y=5
not getting 1 value of answer...
Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 8011
GMAT 1: 760 Q51 V42 GPA: 3.82
Re: If f(x,y) = 10x/2x+3y+20y/3x+2y, where 0<x<y, which of the following c  [#permalink]

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=>

If $$x = 0$$, then $$f(0,y) = \frac{20y}{2y} = 10.$$

If $$x = y$$, then $$f(y,y) = \frac{10y}{5y} + \frac{20y}{5y} = 2 + 4 = 6.$$

Thus, if $$0 < x < y$$, we have $$6 < f(x,y) < 10$$
.
The only possible value of $$f(x,y)$$ from among the choices is $$8$$.

Therefore, A is the answer.
_________________ Re: If f(x,y) = 10x/2x+3y+20y/3x+2y, where 0<x<y, which of the following c   [#permalink] 10 Apr 2019, 00:45
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If f(x,y) = 10x/2x+3y+20y/3x+2y, where 0<x<y, which of the following c

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