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Is |r|*s = |s|*r?

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Is |r|*s = |s|*r?  [#permalink]

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New post 28 Jun 2018, 21:17
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Question Stats:

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Is |r|*s = |s|*r?

(1) rs > 0
(2) \(r^2=s^2\)

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Re: Is |r|*s = |s|*r?  [#permalink]

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New post 28 Jun 2018, 21:36
chetan2u wrote:
Is |r|*s = |s|*r?

(1) rs > 0
(2) \(r^2=s^2\)

New question

Using A: Yes. rs>0 means both are same sign.
Using B: No. \(r^2=s^2\) means |r| = |s|. But r and s may have opposite signs, so No.
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Re: Is |r|*s = |s|*r?  [#permalink]

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New post 28 Jun 2018, 21:39
I think its A

1 implies both r and s have the same sign so |r|.s and |s|.r will yield the same result.

2 implies that they can have different signs.It may be yes or no.

+1 if this helps!

chetan2u wrote:
Is |r|*s = |s|*r?

(1) rs > 0
(2) \(r^2=s^2\)

New question

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Is |r|*s = |s|*r?  [#permalink]

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New post 28 Jun 2018, 22:02
chetan2u wrote:
Is |r|*s = |s|*r?

(1) rs > 0
(2) \(r^2=s^2\)

New question



Statement 1: \(rs > 0\)

\(r > 0, s > 0\) or \(r < 0, s < 0\)

\(r\) & \(s\) have the same sign

\(r = 1, s = 2\), we get YES as answer

\(r = -1, s = -2\), we get YES as answer.

Statement 1 is Sufficient.

Statement 2: \(r^2=s^2\)

r & s can take any sign or both are equal to 0

\(r = 0, s = 0\). we get YES as answer

\(r = 1, s = -1\), we get NO as answer


Statement 2 is Not Sufficient.


Answer A.


Thanks,
GyM
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Is |r|*s = |s|*r? &nbs [#permalink] 28 Jun 2018, 22:02
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