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30 Mar 2019, 02:36
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A
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66% (02:09) correct
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e-GMAT Question of the Week #41
If x and y are non-zero integers and |x – 3| ≤ 2 and -1 ≤ y ≤ 8 then the least value of \(\frac{x}{y}\) lies in which of the following range?
If x and y are non-zero integers and |x – 3| ≤ 2 and -1 ≤ y ≤ 8 then the least value of \(\frac{x}{y}\) lies in which of the following range?
- A. Between -5.5 and -4.5
B. Between -4.5 and -3.5
C. Between -3.5 and -2.5
D. Between -2.5 and -1
E. Greater than -1
30 Mar 2019, 02:59
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If x and y are non-zero integers and |x – 3| ≤ 2 and -1 ≤ y ≤ 8 then the least value of \(\frac{x}{y}\) lies in which of the following range?
We know the range of y, and now we will work on range of x by solving |x – 3| ≤ 2..
Two cases for |x – 3| ≤ 2 : (I) x-3≤ 2...x≤ 5, and (II) -(x-3)≤ 2...3-x≤ 2......1≤ x
Range of x = > x-3≤ 2........1≤x≤ 5
Now, for the least value of \(\frac{x}{y}\), we will take y as negative, that is -1. The denominator should have the largest possible value, so 5..
\(\frac{x}{y}\)=>\(\frac{5}{-1}=-5\).
-5 is between -5.5 and -4.5, and so the answer is A
We know the range of y, and now we will work on range of x by solving |x – 3| ≤ 2..
Two cases for |x – 3| ≤ 2 : (I) x-3≤ 2...x≤ 5, and (II) -(x-3)≤ 2...3-x≤ 2......1≤ x
Range of x = > x-3≤ 2........1≤x≤ 5
Now, for the least value of \(\frac{x}{y}\), we will take y as negative, that is -1. The denominator should have the largest possible value, so 5..
\(\frac{x}{y}\)=>\(\frac{5}{-1}=-5\).
-5 is between -5.5 and -4.5, and so the answer is A
Archit3110
Major Poster
30 Mar 2019, 05:38
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solve for
|x – 3| ≤ 2
x<=5
and -x<=1 ; x>=1
so 1>=x<=5
and
-1 ≤ y ≤ 8
so to get least value of x/y ; x = 5 and y = -1
-5
IMO A
|x – 3| ≤ 2
x<=5
and -x<=1 ; x>=1
so 1>=x<=5
and
-1 ≤ y ≤ 8
so to get least value of x/y ; x = 5 and y = -1
-5
IMO A
EgmatQuantExpert
