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If |x|=|y|=3, what is x/y?

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If |x|=|y|=3, what is x/y?  [#permalink]

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New post 14 Jul 2018, 01:15
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If |x|=|y|=3, what is \(\frac{x}{y}\)?

(1) \(\frac{|x|}{y}\neq{\frac{x}{|y|}}\)
(2) \(x=3\)

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: If |x|=|y|=3, what is x/y?  [#permalink]

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New post 14 Jul 2018, 01:35
To find the value of \(\frac{x}{y}\)

|x| = |y| = 3

Statement 1

\(\frac{|x|}{y} \neq \frac{x}{|y|}\)

=> \(|x||y| \neq xy\)

=> LHS is positive, so xy is negative

=> x and y have different sign

=> since |x| = |y| = 3 and x and y have different sign, \(\frac{x}{y} = -1\)

Statement 1 is sufficient

Statement 2

x = 3

=> y can be either 3 or -3 implying \(\frac{x}{y}\) can be either +1 or -1

Statement 2 is not sufficient

Hence option A
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Re: If |x|=|y|=3, what is x/y?  [#permalink]

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New post 15 Jul 2018, 02:38
chetan2u wrote:
If |x|=|y|=3, what is \(\frac{x}{y}\)?

(1) \(\frac{|x|}{y}\neq{\frac{x}{|y|}}\)
(2) \(x=3\)

New question


Statement 1 implies, X & Y both have opposite signs. Hence answer will be -3 i.e. sufficient

Statement 2 gives value of X but Y can be positive or negative. Hence not sufficient.

Answer - A
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Re: If |x|=|y|=3, what is x/y? &nbs [#permalink] 15 Jul 2018, 02:38
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