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# If r and s are both less than 1, is r^2 + s^2 > 1 ?

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Math Expert
Joined: 02 Sep 2009
Posts: 49273
If r and s are both less than 1, is r^2 + s^2 > 1 ?  [#permalink]

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02 Oct 2017, 00:40
00:00

Difficulty:

45% (medium)

Question Stats:

65% (02:15) correct 35% (01:38) wrong based on 48 sessions

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If r and s are both less than 1, is $$r^2 + s^2 > 1$$?

(1) $$r^2 + s > 1$$

(2) $$r^2 + s > \frac{1}{2}$$

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Senior Manager
Joined: 05 Dec 2016
Posts: 252
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
Re: If r and s are both less than 1, is r^2 + s^2 > 1 ?  [#permalink]

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02 Oct 2017, 02:52
(1)
(0,95)^2+0,1>1
(0,95)^2+(0,1)^2 < 1 hence NO
(0,5)^2+0,99 > 1
(0,5)^2+(0,99)^2 > 1 hence YES

Insufficient

(2) Same example as above applies to second condition, so Insufficient

Re: If r and s are both less than 1, is r^2 + s^2 > 1 ? &nbs [#permalink] 02 Oct 2017, 02:52
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