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# Which of the following is closest in value to 0.5729?

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Math Expert
Joined: 02 Sep 2009
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Which of the following is closest in value to 0.5729?  [#permalink]

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12 Jan 2018, 00:35
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55% (hard)

Question Stats:

58% (01:48) correct 42% (01:47) wrong based on 120 sessions

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Which of the following is closest in value to 0.5729?

A. $$\frac{11.43}{2*10^2}$$

B. $$\frac{1144}{2*10^3}$$

C. $$\frac{1145}{20*10^2}$$

D. $$\frac{11.45}{2*10^2}$$

E. $$\frac{1144}{2*10^4}$$

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Re: Which of the following is closest in value to 0.5729?  [#permalink]

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12 Jan 2018, 01:00
1
C as on solving C we get 0.5725 which is the closest of all
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Re: Which of the following is closest in value to 0.5729?  [#permalink]

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12 Jan 2018, 01:06
1
first, use the power of observation, now ones can pick 1144 and divide the number by 2, the rest is easy. => C
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Re: Which of the following is closest in value to 0.5729?  [#permalink]

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12 Jan 2018, 05:41
2
Bunuel wrote:
Which of the following is closest in value to 0.5729?

A. $$\frac{11.43}{2*10^2}$$

B. $$\frac{1144}{2*10^3}$$

C. $$\frac{1145}{20*10^2}$$

D. $$\frac{11.45}{2*10^2}$$

E. $$\frac{1144}{2*10^4}$$

You see that each option has 2 in the denominator. So multiply .5729 with 2 to get 1.1458.
Options (C) and (D) seem to be closest.

Option (C) has 1000 in the denominator so we get decimal at the right place. Answer (C)
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Re: Which of the following is closest in value to 0.5729?  [#permalink]

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09 Dec 2019, 18:38
1
Bunuel wrote:
Which of the following is closest in value to 0.5729?

A. $$\frac{11.43}{2*10^2}$$

B. $$\frac{1144}{2*10^3}$$

C. $$\frac{1145}{20*10^2}$$

D. $$\frac{11.45}{2*10^2}$$

E. $$\frac{1144}{2*10^4}$$

We should see that 5,729 x 2 = 11,458. So 0.5729 = 5,729/10,000 = 11,458/20,000 = (1.1458 x 10^4)/(2 x 10^4) = (1.1458 x 10^3)/(2 x 10^3) = 1145.8/(2 x 10^3) ≈ 1146/(2 x 10^3), which is closest to Choice C.

Alternate Solution:

Since 0.5729 is a just a bit greater than 1/2, we are looking for the answer choice to reduce to about 1/2. Choice A is roughly 11/200, Choice D is about 11/200, and Choice E is about 1000/20,000, so we can eliminate them quickly.

Choice B is 1144/2,000, and Choice C is 1145/2,000, so we must do the quick division of each, obtaining 0.572 and 0.5725, respectively. We see that Choice C is closest to 0.5729.

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Re: Which of the following is closest in value to 0.5729?   [#permalink] 09 Dec 2019, 18:38
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