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If x and y are nonzero integers such that -12≤ x ≤ 1 and -4≤ y ≤10,

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S
Joined: 15 Dec 2015
Posts: 112

Kudos [?]: 124 [0], given: 72

GMAT 1: 660 Q46 V35
GPA: 4
WE: Information Technology (Computer Software)
If x and y are nonzero integers such that -12≤ x ≤ 1 and -4≤ y ≤10, [#permalink]

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If x and y are nonzero integers such that -12≤ x ≤ 1 and -4≤ y ≤10, what is the sum of the minimum and the maximum possible values of x/y?

A. -8
B. -4
C. 0
D. 4
E. 8
[Reveal] Spoiler: OA

Last edited by DHAR on 30 Jul 2017, 20:39, edited 1 time in total.

Kudos [?]: 124 [0], given: 72

Manager
Manager
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S
Joined: 15 Dec 2015
Posts: 112

Kudos [?]: 124 [0], given: 72

GMAT 1: 660 Q46 V35
GPA: 4
WE: Information Technology (Computer Software)
Re: If x and y are nonzero integers such that -12≤ x ≤ 1 and -4≤ y ≤10, [#permalink]

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New post 30 Jul 2017, 19:46
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(x/y)min=-12/1 = -12
(x/y)max=-12/-1 = 12
Sum= 0

Kudos [?]: 124 [0], given: 72

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Joined: 08 Jul 2010
Posts: 1857

Kudos [?]: 2400 [0], given: 51

Location: India
GMAT: INSIGHT
WE: Education (Education)
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Re: If x and y are nonzero integers such that -12≤ x ≤ 1 and -4≤ y ≤10, [#permalink]

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New post 30 Jul 2017, 20:36
DH99 wrote:
If x and y are integers such that -12≤ x ≤ 1 and -4≤ y ≤10, what is the sum of the minimum and the maximum possible values of x/y?

A. -8
B. -4
C. 0
D. 4
E. 8


Mistake in Question The question must mention that y is NOT equal to zero for the x/y to be defined
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Kudos [?]: 2400 [0], given: 51

Manager
Manager
User avatar
S
Joined: 15 Dec 2015
Posts: 112

Kudos [?]: 124 [0], given: 72

GMAT 1: 660 Q46 V35
GPA: 4
WE: Information Technology (Computer Software)
Re: If x and y are nonzero integers such that -12≤ x ≤ 1 and -4≤ y ≤10, [#permalink]

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New post 30 Jul 2017, 20:40
GMATinsight wrote:
DH99 wrote:
If x and y are integers such that -12≤ x ≤ 1 and -4≤ y ≤10, what is the sum of the minimum and the maximum possible values of x/y?

A. -8
B. -4
C. 0
D. 4
E. 8


Mistake in Question The question must mention that y is NOT equal to zero for the x/y to be defined


Corrected the Questions.Thank you.

Kudos [?]: 124 [0], given: 72

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Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1802

Kudos [?]: 981 [1], given: 5

Re: If x and y are nonzero integers such that -12≤ x ≤ 1 and -4≤ y ≤10, [#permalink]

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New post 01 Aug 2017, 16:20
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DH99 wrote:
If x and y are nonzero integers such that -12≤ x ≤ 1 and -4≤ y ≤10, what is the sum of the minimum and the maximum possible values of x/y?

A. -8
B. -4
C. 0
D. 4
E. 8


Since both x and y can be positive or negative, we see that the maximum possible value of x/y is one such that x and y have the same sign (so that x/y is positive) and the minimum possible value of x/y is one such that x and y have opposite signs (so that x/y is negative). With that in mind, let’s determine the maximum possible value of x/y.

If we want x/y to be maximum, and both x and y are positive, we want both x and y to be equal to 1, so that x/y = 1. If both x and y are negative, we want x to be -12 and y to be -1, so that x/y = 12. Thus, the maximum value of x/y is 12.

Now let’s determine the minimum possible value of x/y.

If we want x/y to be a minimum, and x is positive and y is negative, we want x to be 1 and y to be -1, so that x/y = -1. If x is negative and y is positive, we want x to be -12 and y to be 1, so that x/y = -12. Thus, the minimum value of x/y is -12.

We see that the sum of the minimum and the maximum possible values of x/y is -12 + 12 = 0.

Answer: C
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Kudos [?]: 981 [1], given: 5

Re: If x and y are nonzero integers such that -12≤ x ≤ 1 and -4≤ y ≤10,   [#permalink] 01 Aug 2017, 16:20
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If x and y are nonzero integers such that -12≤ x ≤ 1 and -4≤ y ≤10,

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