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61.24 x (0.998) 2 403 The expression above is approximately equal to

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Bunuel
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61.24 x (0.998) 2 403 The expression above is approximately equal to [#permalink] New post   19 Jan 2014, 23:47
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\(\frac{61.24*0.998^2}{\sqrt{403}}\)
The expression above is approximately equal to

(A) 1
(B) 3
(C) 4
(D) 5
(E) 6
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B
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Bunuel
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Re: 61.24 x (0.998) 2 403 The expression above is approximately equal to [#permalink] New post   19 Jan 2014, 23:47
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SOLUTION

\(\frac{61.24*0.998^2}{\sqrt{403}}\)
The expression above is approximately equal to

(A) 1
(B) 3
(C) 4
(D) 5
(E) 6

\(\frac{61.24*0.998^2}{\sqrt{403}}\approx{\frac{60*1}{\sqrt{400}}}=\frac{60}{20}=3\).

Answer: B.
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Re: 61.24 x (0.998) 2 403 The expression above is approximately equal to [#permalink] New post   20 Jan 2014, 02:19
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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

\(\frac{61.24*0.998^2}{\sqrt{403}}\)
The expression above is approximately equal to

(A) 1
(B) 3
(C) 4
(D) 5
(E) 6

Problem Solving
Question: 47
Category: Arithmetic Operations on radical expressions
Page: 67
Difficulty: 650


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it is all about approximations

the numerator 61.24*.998^2=60(approximately)
the denominator sqrt(403)= 20(approximately)

hence the value of given expression is 3.

since the accurate value is not asked, it is ok to roughly approximate the values to quickly arrive at the correct answer
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Re: 61.24 x (0.998) 2 403 The expression above is approximately equal to [#permalink] New post   20 Jan 2014, 20:35
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Here the key is APPROXIMATION .

0.998~1 ----> 1^2 = 1
403^1/2=20.07.... ~20

So after approximation our expression becomes - (61.24*1)/20 =3.06... ~ 3

So correct answer is (B)
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Re: 61.24 x (0.998) 2 403 The expression above is approximately equal to [#permalink] New post   20 Jan 2014, 21:14
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Here, it would be advisable to look at the answer choices first. Since we have small integers, it will be easier if you can approx. the values to the closest integer.

0.998 ~ 1
\sqrt{403} ~ 20
Now, since we have 20 in the denominator and the answer choices are plain integers, 61.24 can be approximated to 60, thereby giving us a value of 3.

Ans is (B)
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Re: 61.24 x (0.998) 2 403 The expression above is approximately equal to [#permalink] New post   23 Jan 2014, 05:59
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Bunuel wrote:
\(\frac{61.24*0.998^2}{\sqrt{403}}\)
The expression above is approximately equal to

(A) 1
(B) 3
(C) 4
(D) 5
(E) 6



Since the question is asking for an approximate value hence the question can we written as

\(\frac{61.24*1^2}{\sqrt{400}}\)

\(= \frac{61.24*1^2}{20}= \frac{6124}{2000}=3\)



Answer B
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Re: 61.24 x (0.998) 2 403 The expression above is approximately equal to [#permalink] New post   25 Jan 2014, 11:38
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SOLUTION

\(\frac{61.24*0.998^2}{\sqrt{403}}\)
The expression above is approximately equal to

(A) 1
(B) 3
(C) 4
(D) 5
(E) 6

\(\frac{61.24*0.998^2}{\sqrt{403}}\approx{\frac{60*1}{\sqrt{400}}}=\frac{60}{20}=3\).

Answer: B.
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Re: 61.24 x (0.998) 2 403 The expression above is approximately equal to [#permalink] New post   29 Nov 2016, 13:45
Nice Official Question.
Here is what i did =>
Rounding up both the numerators to the nearest integer and the denominator to the nearest tenths.
We get =>\(\frac{60*1^2}{√400}\)
=> 6/2 => 3

Hence B
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Re: 61.24 x (0.998) 2 403 The expression above is approximately equal to [#permalink] New post   26 Jan 2023, 19:18
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