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# If r and s are variables such that

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MBA Section Director
Affiliations: GMATClub
Joined: 22 May 2017
Posts: 2594
GPA: 4
WE: Engineering (Computer Software)
If r and s are variables such that  [#permalink]

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02 Oct 2018, 19:24
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Difficulty:

95% (hard)

Question Stats:

19% (02:42) correct 81% (02:13) wrong based on 31 sessions

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If r and s are variables such that $$\frac{1}{r^2} − \frac{1}{s^2} > −9$$ and $$\frac{2}{r^2} − \frac{2}{s^2} < 7$$, which of the segments best represents the overlap zone for values of r and s?

A. $$(-∞, \frac{−1}{4}), (\frac{1}{4}, ∞)$$

B. $$(\frac{−1}{4}, \frac{1}{4})$$

C. $$(-∞, \frac{−1}{5}), (\frac{1}{5}, ∞)$$

D. $$(\frac{−1}{5}, \frac{1}{5})$$

E. $$(-∞, \frac{−1}{5}), (\frac{1}{4}, ∞)$$

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Joined: 15 Apr 2015
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Re: If r and s are variables such that  [#permalink]

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07 Oct 2018, 07:09
Is this question correct? If so, may you please provide the solution
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Status: In last prep stage
Joined: 11 Jun 2017
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GMAT 1: 630 Q44 V33
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Re: If r and s are variables such that  [#permalink]

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10 Oct 2018, 19:37
workout wrote:
If r and s are variables such that $$\frac{1}{r^2} − \frac{1}{s^2} > −9$$ and $$\frac{2}{r^2} − \frac{2}{s^2} < 7$$, which of the segments best represents the overlap zone for values of r and s?

A. $$(-∞, \frac{−1}{4}), (\frac{1}{4}, ∞)$$

B. $$(\frac{−1}{4}, \frac{1}{4})$$

C. $$(-∞, \frac{−1}{5}), (\frac{1}{5}, ∞)$$

D. $$(\frac{−1}{5}, \frac{1}{5})$$

E. $$(-∞, \frac{−1}{5}), (\frac{1}{4}, ∞)$$

What is meant by overlap zone here and how do we calculate it.Did not understand this question a bit.What should be done for such questions on test day.
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Ankit
Target Score:730+

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Re: If r and s are variables such that   [#permalink] 10 Oct 2018, 19:37
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