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Of the following, the closest approximation to

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Of the following, the closest approximation to [#permalink]

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New post 17 Feb 2014, 03:40
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

Of the following, the closest approximation to \(\sqrt{\frac{5.98(601.5)}{15.79}}\) is

(A) 5
(B) 15
(C) 20
(D) 25
(E) 225

Problem Solving
Question: 97
Category: Arithmetic Estimation
Page: 74
Difficulty: 600


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Re: Of the following, the closest approximation to [#permalink]

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New post 17 Feb 2014, 03:40
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SOLUTION

Of the following, the closest approximation to \(\sqrt{\frac{5.98(601.5)}{15.79}}\) is

(A) 5
(B) 15
(C) 20
(D) 25
(E) 225

\(\sqrt{\frac{5.98(601.5)}{15.79}}\approx{\sqrt{\frac{6(600)}{16}}}=\sqrt{\frac{3600}{16}}=\frac{60}{4}=15\).

Answer: B.
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Re: Of the following, the closest approximation to [#permalink]

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New post 17 Feb 2014, 03:48
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Bunuel wrote:
Of the following, the closest approximation to \(\sqrt{\frac{5.98(601.5)}{15.79}}\) is

(A) 5
(B) 15
(C) 20
(D) 25
(E) 225


Sol: We can approximate the following values as below

5.98~6
601.5~600
and 15.79~ 16 so we get \(\sqrt{6*600/16}\)

or\(\sqrt{3600/16}\) or

60/4 = 15
Ans is B.
600 level is okay
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Re: Of the following, the closest approximation to [#permalink]

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New post 17 Feb 2014, 09:23
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Option B.
5.98~6 & 15.79~16
=>(sqrt){6 * (601+0.5)}/16
=>(sqrt)3600/16 = 60/4=15

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Re: Of the following, the closest approximation to [#permalink]

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New post 17 Feb 2014, 12:06
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Lets approximate 5.98 to 6, 601.5 to 600 & 15.79 to 16

so, \(\sqrt{\frac{6 * 600}{16}}\)

\(\sqrt{\frac{3600}{16}}\)

\(\frac{6*10}{4}\)

15. Option B
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Re: Of the following, the closest approximation to [#permalink]

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New post 17 Feb 2014, 22:05
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Pretty Easy
Convert those decimals into integers as below:-
5.98 - 6
601.5 - 600
15.79 - 16

Then just plug in and solve you get 15 as the answer. Option (B)
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Re: Of the following, the closest approximation to [#permalink]

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New post 18 Feb 2014, 07:34
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Approximate the following numbers:
5.98 ~ 6
601.5 ~ 600
15.79 ~ 16

\sqrt{6 * 600} = \sqrt{36 * 100} = 6 * 10
We know that \sqrt{16} = 4;

So, (6 * 10)/4 = 15;

Ans is (B)
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Re: Of the following, the closest approximation to [#permalink]

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New post 19 Dec 2015, 11:09
Using BALLPARKING

5.98 = 6
601.5 = 600
15.79 = 16

6 * 600/16 = 3600/16 sq root = 60/4 = 15

Answer B is correct.
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Re: Of the following, the closest approximation to [#permalink]

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New post 09 Aug 2017, 14:24
\(\sqrt{6 * 600 / 16}
= \sqrt{3600/16}
= \sqrt{225}\)
= 15
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Of the following, the closest approximation to [#permalink]

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New post 22 Aug 2017, 13:50
Key word in this problem is "approximation"

1. 5.98(601.5) --> approximates --> 6(602) = 3612
2. 3612/16.00 = 225, which is a perfect root
3. √225 = 15

Answer is (B) 15
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Re: Of the following, the closest approximation to [#permalink]

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New post 24 Aug 2017, 16:34
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

Of the following, the closest approximation to \(\sqrt{\frac{5.98(601.5)}{15.79}}\) is

(A) 5
(B) 15
(C) 20
(D) 25
(E) 225



We can approximate 5.98 to be 6, 601.5 to be 600, and 15.79 to be 16; thus, we have:

√[(6)(600)/(16)] = √(3600/16) = 60/4 = 15

Answer: B
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Re: Of the following, the closest approximation to   [#permalink] 24 Aug 2017, 16:34
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