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Is r < 1?

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Joined: 02 Sep 2009
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Is r < 1? [#permalink]

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New post 30 Jul 2016, 03:05
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Re: Is r < 1? [#permalink]

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New post 30 Jul 2016, 05:06
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Bunuel wrote:
Is r < 1?

(1) r > 0

(2) r^2 < 1



(1) r>0,so r could be \(\frac{1}{2}\) or 2,Not Sufficient

(2) \(r^2\)<1 ,here,to hold the inequality true, \(r^2\) must be a fraction less than 1 thus r<1.Sufficient

Correct Answer B
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Re: Is r < 1? [#permalink]

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New post 09 Feb 2018, 10:53
Bunuel wrote:
Is r < 1?

(1) r > 0

(2) r^2 < 1



Statement 1
r > 0 doesnt tell us whether r is between 0 and 1, or equal to 1, or greater than 1. So not sufficient.

Statement 2

r^2 < 1 means that r has to lie between -1 and 1. (then only its square will be less than 1, else not)
All the values between -1 and 1 are definitely less than 1. So this gives us YES as an answer to the question asked. Sufficient.

Hence B answer
Re: Is r < 1?   [#permalink] 09 Feb 2018, 10:53
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