5√2 percent of 1/√200 =

Question

5√2  percent of  \frac{1}{√200} =

A. 0.005
B. 0.02
C. 0.05
D. 0.2
E. 0.5

nkin · Answer

(5\sqrt{2})/100) * 1/(10*\sqrt{2}) = 0.005

Option A

BrentGMATPrepNow · Answer

p percent = p/100
For example, 19% = 19/100
So, 5√2 percent =  (5√2)/100

√200 = (√100)(√2) =  10√2

So, 5√2 percent of 1/√200 =  (5√2)/100 ] 10√2 ] 
=  5/100 ] 10 ]    
= 5/1000
= 0.005

Answer: A

Cheers,
Brent

generis · Answer

I. Arithmetic 
Change the denominator either initially* or while solving, as here

Setup : 10 percent of  \frac{1}{2}= 
 LHS :  (\frac{10}{100}*\frac{1}{2})

5√2  percent of  \frac{1}{√200} :

(\frac{5\sqrt{2}}{100}*\frac{1}{\sqrt{200}})=\frac{5\sqrt{2}}{100*\sqrt{200}}=

\frac{5\sqrt{2}}{100*\sqrt{100*2}}=

\frac{5\sqrt{2}}{100*10\sqrt{2}}=

\frac{5}{100*10}=\frac{1}{100*2}=\frac{1}{200}=

0.005

Answer A

II. Approximate in pieces

5√2  percent of  \frac{1}{√200} ?

(1)   5\sqrt{2}\approx{(5*1.4)}\approx{7}

7  percent = 0.07

(2)   \frac{1}{\sqrt{200}} : 
the denominator is between 14 and 15.  14^2=196 , and  15^2=225

\sqrt{196}<\sqrt{200}<\sqrt{225}

\sqrt{200}  is closer to 14:
 \frac{1}{\sqrt{200}}\approx{\frac{1}{14}}\approx{0.07}

(3)  Together: 7 percent of 0.07 =

(0.07*0.07)=0.0049

\approx{0.005}

Answer A

*  \frac{1}{\sqrt{200}} 
Change the denominator
 \sqrt{200}=\sqrt{100*2}=10\sqrt{2}=>  
 \frac{1}{\sqrt{200}}=
\frac{1}{10\sqrt{2}}

ScottTargetTestPrep · Answer

We can express 5√2 percent as 5√2/100. Thus, we have:

(5√2)/100 x (1/√200) = (5√2)/(100√200) =1/(20 x 10) = 1/200 = 0.005

Answer: A

mimajit · Answer

This is how i solved

5 √ 2/ 100 * 1 /√ 200

5 √ 2/ 5*20 * 1 /√ 100*2

Cancel 5's from top and bottom of LHS

= √2 / 20 * 1 / √100*√2

= √2 /20* 1 / 10*√2

cANCEL ROOT 2 FROM TOP AND BOTTOM

= 1 / 200

= 0r 0.005 ans choice A

bv8562 · Answer

5√2/100 * 1/√200

√200 = 10√2

5√2/100 * 1/√200 = 1/200 = 0.005 (A)

bumpbot · Answer

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5√2 percent of 1/√200 =

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