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Which of the following is the best approximation of (98.763*0.49^2/0.)

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Which of the following is the best approximation of (98.763*0.49^2/0.)  [#permalink]

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New post 29 Jun 2018, 02:29
00:00
A
B
C
D
E

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  35% (medium)

Question Stats:

73% (00:59) correct 27% (02:12) wrong based on 48 sessions

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Which of the following is the best approximation of \(\sqrt{\frac{98.763*0.49^2}{0.252}}\)?


A. \(\frac{1}{4}\)

B. \(\frac{1}{2}\)

C. \(5\)

D. \(10\)

E. \(25\)

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Re: Which of the following is the best approximation of (98.763*0.49^2/0.)  [#permalink]

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New post 29 Jun 2018, 02:57
Bunuel wrote:
Which of the following is the best approximation of \(\sqrt{\frac{98.763*0.49^2}{0.252}}\)?


A. \(\frac{1}{4}\)

B. \(\frac{1}{2}\)

C. \(5\)

D. \(10\)

E. \(25\)


Instead of calculating, we'll just estimate (especially as that's what we're asked to do)
This is an Alternative approach.


Rounding our numbers gives \(\sqrt{\frac{100*0.5^2}{0.25}}\)
Since (0.5)^2 = 0.25, this reduces to sqrt(100) = 10.

(D) is our answer.
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Which of the following is the best approximation of (98.763*0.49^2/0.)  [#permalink]

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New post 29 Jun 2018, 07:22
quote="Bunuel"]Which of the following is the best approximation of \(\sqrt{\frac{98.763*0.49^2}{0.252}}\)?


A. \(\frac{1}{4}\)

B. \(\frac{1}{2}\)

C. \(5\)

D. \(10\)

E. \(25\)[/quote]


98.763~100
\(0.49^2\) ~\(0.5^2\) = 0.25
0.252~0.25

***** we have to apply square root******

\(\frac{(100 * 0.25)}{0.25}\)
=100
=\(\sqrt{100}\)
=10

Thus the best answer is D.
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Which of the following is the best approximation of (98.763*0.49^2/0.) &nbs [#permalink] 29 Jun 2018, 07:22
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