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Math Expert V
Joined: 02 Sep 2009
Posts: 55609
Of the following, the closest approximation to  [#permalink]

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Question Stats: 88% (01:05) correct 12% (01:25) wrong based on 704 sessions

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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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Math Expert V
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Posts: 55609
Re: Of the following, the closest approximation to  [#permalink]

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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

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

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

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

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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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Intern  Joined: 27 Oct 2011
Posts: 22
Re: Of the following, the closest approximation to  [#permalink]

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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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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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GMAT 1: 590 Q45 V27 Re: Of the following, the closest approximation to  [#permalink]

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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;

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Posts: 57
GMAT 1: 410 Q33 V13 WE: Management Consulting (Computer Software)
Re: Of the following, the closest approximation to  [#permalink]

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Using BALLPARKING

5.98 = 6
601.5 = 600
15.79 = 16

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

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

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$$\sqrt{6 * 600 / 16} = \sqrt{3600/16} = \sqrt{225}$$
= 15
Manager  B
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Of the following, the closest approximation to  [#permalink]

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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

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

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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

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