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If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the

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If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the  [#permalink]

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New post 04 Jul 2018, 20:43
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If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the maximum values of \(\frac{x}{y}\) and xy?
(A) 36
(B) 28
(C) 24
(D) 12
(E) None of the above


New question

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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the  [#permalink]

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New post 04 Jul 2018, 22:09
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chetan2u wrote:
If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the maximum values of \(\frac{x}{y}\) and xy?
(A) 36
(B) 28
(C) 24
(D) 12
(E) None of the above


New question


Given \(-8\leq{x\leq{2}\) & \(-2\leq{y\leq{2}\) with x and y are integers.

Max|x|=8, Max|y|=2, Min|y|=1

So, Max( \(\frac{x}{y}\)+xy)=Max(\(\frac{x}{y}\))+Max(xy)
=\(\frac{-8}{-1}\) + (-8)*(-2)
=8+16=24
Ans. (C)
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Re: If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the  [#permalink]

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New post 05 Jul 2018, 05:47
chetan2u wrote:
If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the maximum values of \(\frac{x}{y}\) and xy?
(A) 36
(B) 28
(C) 24
(D) 12
(E) None of the above


New question



max(\(\frac{x}{y}\)) = \(\frac{-8}{-1}\) = 8

max(xy) = -8 * -2 = 16

therefore max(\(\frac{x}{y}\)) + max(xy) = 24
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Re: If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the  [#permalink]

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New post 30 Aug 2018, 12:32
my approach
to make x/y max take x/y = -8/-1= 8
and to make xy max take xy = -8/-2= 16
8+16 = 24
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Re: If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the  [#permalink]

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New post 30 Aug 2018, 19:27
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How can we take two different values for y?

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Re: If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the  [#permalink]

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New post 12 Sep 2018, 08:49
Shekhar44 wrote:
How can we take two different values for y?

Posted from my mobile device


"what is the sum of the maximum values of \(\frac{x}{y}\) and xy?"

It is one time maximum value for \(\frac{x}{y}\), and one time maximum value for xy! These two have their maximum values at different values for y. The question stem does not specify that you need to use the same values for x and y in booth \(\frac{x}{y}\) and xy...

Is it clear now?
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Re: If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the &nbs [#permalink] 12 Sep 2018, 08:49
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