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# Given that r = 98.3, which of the following best approximates the valu

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Given that r = 98.3, which of the following best approximates the valu  [#permalink]

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16 Oct 2016, 06:46
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Given that r = 98.3, which of the following best approximates the value of r/(2r + 2) ?

A. 1/4
B. 1/3
C. 1/2
D. 4/7
E. 2/3

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Re: Given that r = 98.3, which of the following best approximates the valu  [#permalink]

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16 Oct 2016, 07:17
Bunuel wrote:
Given that r = 98.3, which of the following best approximates the value of r/(2r + 2) ?

A. 1/4
B. 1/3
C. 1/2
D. 4/7
E. 2/3

r/(2r + 2) = 1/[2+(2/r)] = 1/[2+(2/98.3)]

but 2/98.3 is too small (negligible) in comparison

Hence, 1/[2+(2/98.3)] = 1/2 (approx)

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Re: Given that r = 98.3, which of the following best approximates the valu  [#permalink]

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16 Oct 2016, 12:02
Bunuel wrote:
Given that r = 98.3, which of the following best approximates the value of r/(2r + 2) ?

A. 1/4
B. 1/3
C. 1/2
D. 4/7
E. 2/3

r = 98 ( Rounded off to lower whole number )

Now, $$\frac{r}{(2r + 2)} = \frac{98}{(2*98 + 2)}$$

Or, $$\frac{r}{(2r + 2)} = \frac{98}{198}$$

Or, $$\frac{r}{(2r + 2)} = \frac{49}{99}$$

$$\frac{49}{99}$$ ~ $$\frac{50}{100}$$ $$= \frac{1}{2}$$

Hence answer will be (C) $$\frac{1}{2}$$

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Re: Given that r = 98.3, which of the following best approximates the valu  [#permalink]

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28 Jan 2017, 01:54
Alternate Solution:
Since r= 98.3, approximate value of r=100.

Hence, r/(2r+2)
= r/2(1+r)
=100/ [2(101)]
=1/2

Hence, C
Re: Given that r = 98.3, which of the following best approximates the valu   [#permalink] 28 Jan 2017, 01:54
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