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What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1

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What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

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New post 22 Nov 2018, 01:45
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A
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D
E

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  25% (medium)

Question Stats:

72% (01:21) correct 28% (01:13) wrong based on 171 sessions

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What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

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New post Updated on: 05 Jan 2019, 04:27
Bunuel wrote:
What is the value of \(|x| - |y|\) ?


(1) \(|x - y| = 0\)

(2) \(|\frac{x}{y}| = 1\)



Statement 1;

\(|x - y| = 0\)

x=y

or

x = y

substituting the value of x we get 0.

Statement 2:

\(|\frac{x}{y}| = 1\)

either ,

x/y = 1

x = y

or

-x/-y = 1

x = y

The same as 1.

Sufficient .

The best answer is D.

Originally posted by KSBGC on 22 Nov 2018, 01:52.
Last edited by KSBGC on 05 Jan 2019, 04:27, edited 2 times in total.
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Re: What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

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New post 22 Nov 2018, 01:53
Statement 1) when the difference of two numbers is 0 then both the numbers must be equal. so x = y.

|x| - |y| = 0. SUFFICIENT.

Statement 2) \(|\frac{x}{y}|\) = 1.

Here |x| = |y|. So |x| - |y| = 0. SUFFICIENT.

OPTION : D
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Re: What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

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New post 22 Nov 2018, 01:55
Bunuel wrote:
What is the value of \(|x| - |y|\) ?


(1) \(|x - y| = 0\)

(2) \(|\frac{x}{y}| = 1\)



Stmnt 1 would be valid only when both x& y are same value and same sign
sufficient

Stmnt 2: would be valid for same reason as for 1

IMO D
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Re: What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

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New post 24 Dec 2018, 00:39
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Re: What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

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New post 07 May 2019, 10:08
KSBGC wrote:
Bunuel wrote:
What is the value of \(|x| - |y|\) ?


(1) \(|x - y| = 0\)

(2) \(|\frac{x}{y}| = 1\)



Statement 1;

\(|x - y| = 0\)

x=y

or

x = y

substituting the value of x we get 0.

Statement 2:

\(|\frac{x}{y}| = 1\)

either ,

x/y = 1

x = y

or

-x/-y = 1

x = y

The same as 1.

Sufficient .

The best answer is D.



Statement 2 : If x=-2 and y=2
then |x|/|y| => |-2|/|2| =>1 but in this case both x and y are having different signs, so how this is marked as sufficient. It is not necessary that both should be having same signs. Please explain what's wrong in my approach.
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Re: What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1   [#permalink] 07 May 2019, 10:08

What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1

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