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|x| y > x |y|
[#permalink]
01 Jan 2020, 03:27
01 Jan 2020, 03:27
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Question Stats:
74% (01:00) correct
25% (01:36) wrong based on 182 sessions
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\(|x|y > x|y|\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
\((x+y)^2\) |
\((x-y)^2\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: |x| y > x |y|
[#permalink]
02 Jan 2020, 07:01
02 Jan 2020, 07:01
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|x| y > x |y|
Now if both x and y were positive or negative then both the quantities will be equal.
So this is possible only when both x and y have different signs and that too y has to be positive as |x| y is greater than x |y|
So, y is positive and x is negative.
Quantity A will be smaller than Quantity B as in Quantity B x-y will get added up and in Quantity A x+y will get subtracted
Example
x=-4 and y=3
Quantity A = (x+y)^2 = (-4+3)^2 = (-1)^2 = 1
Quantity B = (x-y)^2 = (-4-3)^2 = (-7)^2 = 49
So, Answer will be option B
Hope it helps!
Now if both x and y were positive or negative then both the quantities will be equal.
So this is possible only when both x and y have different signs and that too y has to be positive as |x| y is greater than x |y|
So, y is positive and x is negative.
Quantity A will be smaller than Quantity B as in Quantity B x-y will get added up and in Quantity A x+y will get subtracted
Example
x=-4 and y=3
Quantity A = (x+y)^2 = (-4+3)^2 = (-1)^2 = 1
Quantity B = (x-y)^2 = (-4-3)^2 = (-7)^2 = 49
So, Answer will be option B
Hope it helps!
Re: |x| y > x |y|
[#permalink]
18 Sep 2020, 03:23
18 Sep 2020, 03:23
3
x|y| < y|x|
Can be written as,
x/|x| < y/|y|
as these values can be +1 or -1 only,
y > 0 and x < 0,
Therefore B has to be greater
Can be written as,
x/|x| < y/|y|
as these values can be +1 or -1 only,
y > 0 and x < 0,
Therefore B has to be greater
