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xy<0
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19 Mar 2020, 11:26
19 Mar 2020, 11:26
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\(xy<0\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
\(x-y\) |
\(\frac{x}{y}\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Re: xy<0
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20 Mar 2020, 05:05
20 Mar 2020, 05:05
1
Congratulation Carcass on 10000+ posts.
We don't know the value of x and y.
Case 1) Lets say x = +2 and y=-2, then xy=-4 which is less than 0.
Then x-y = 2-(-2) = 2+2 = 4
and x/y = 2/-2 = -1
Thus A is greater
Case 2) Let x=-2 and y= +2, then xy = -4
And x-y = -2-2= -4
x/y = -2/2 = -1
Here B is greater.
Thus option D.
We don't know the value of x and y.
Case 1) Lets say x = +2 and y=-2, then xy=-4 which is less than 0.
Then x-y = 2-(-2) = 2+2 = 4
and x/y = 2/-2 = -1
Thus A is greater
Case 2) Let x=-2 and y= +2, then xy = -4
And x-y = -2-2= -4
x/y = -2/2 = -1
Here B is greater.
Thus option D.
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Re: xy<0
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13 Jul 2021, 07:18
13 Jul 2021, 07:18
1
Theory: xy<0 means that both x and y have different signs. Either x>0 and y<0 or x<0 and y>0
Case 1: x>0 and y<0
Example: x = 2, y =-1
Quantity A: x-y = 2 - (-1) = 3
Quantity B: \(\frac{x}{y}\) = \(\frac{2}{-1}\) = -2
So, Quantity A > Quantity B
Case 2: x<0 and y>0
Example: x = -1, y =2
Quantity A: x-y = -1 - 2 = -3
Quantity B: \(\frac{x}{y}\) = \(\frac{-1}{2}\) = -0.5
So, Quantity B > Quantity A
=> We cannot answer unless we know the exact values of x and y
So, answer will be D
Hope it helps!
To learn about the basics of Inequalities watch the following video
Case 1: x>0 and y<0
Example: x = 2, y =-1
Quantity A: x-y = 2 - (-1) = 3
Quantity B: \(\frac{x}{y}\) = \(\frac{2}{-1}\) = -2
So, Quantity A > Quantity B
Case 2: x<0 and y>0
Example: x = -1, y =2
Quantity A: x-y = -1 - 2 = -3
Quantity B: \(\frac{x}{y}\) = \(\frac{-1}{2}\) = -0.5
So, Quantity B > Quantity A
=> We cannot answer unless we know the exact values of x and y
So, answer will be D
Hope it helps!
To learn about the basics of Inequalities watch the following video
