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

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Math Expert
Joined: 02 Sep 2009
Posts: 64144
Which of the following is the best approximation of (98.763*0.49^2/0.)  [#permalink]

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29 Jun 2018, 01:29
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Difficulty:

35% (medium)

Question Stats:

70% (01:19) correct 30% (02:06) wrong based on 64 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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29 Jun 2018, 01:57
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.

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

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29 Jun 2018, 06:22
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.
Which of the following is the best approximation of (98.763*0.49^2/0.)   [#permalink] 29 Jun 2018, 06:22