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# M24 Q 7 explanation

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Re: M24 Q 7 explanation [#permalink]  14 Jan 2013, 08:54
icandy wrote:
Which of the following is closest to \frac{4}{2.001} ?

(A) 1.997
(B) 1.998
(C) 1.999
(D) 2.000
(E) 2.001

[Reveal] Spoiler: OA
C

Source: GMAT Club Tests - hardest GMAT questions

If a is small, \frac{4}{2 + a} is close to 2 - a . This is because (2 - a)(2 + a) = 4 - a^2 , which is close to 4 if a is small. So, \frac{4}{2.001} = \frac{4}{2 + 0.001} is approximately 2 - 0.001 = 1.999 .

I am posting the OE because I did not understand the OE. I arrived at the solution though. I need to understand the above logic of

4/2+a is close to 2-a

Just go by the gut. 4/2 would be 2 so D and E are gone. And since the denominator is slightly bigger, the result would be minutely less than 2. Thus, 1.999.
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Re: M24 Q 7 explanation   [#permalink] 14 Jan 2013, 08:54
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# M24 Q 7 explanation

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