February 18 , 2019
February 18 , 2019
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February 18 , 2019
February 18 , 2019
10:00 PM PST
11:00 PM PST
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Joined: 02 Sep 2009
Posts: 52917
If 10^x equals 0.1 percent of 10^y, where x and y are integers, which
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D
E
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63% (01:26) correct
37% (01:25) wrong
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If 10^x equals 0.1 percent of 10^y, where x and y are integers, which
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Bunuel wrote:
If 10^x equals 0.1 percent of 10^y, where x and y are integers, which of the following must be true?
\(10^x=0.1\)%\(*10^y\)
\(=>10^x=\frac{0.1}{100}*10^y=>10^x*100=10^{-1}*10^y\)
\(=>10^{x+2}=10^{y-1}\)
\(=>x+2=y-1 => y=x+3\)
Option
B
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If 10^x equals 0.1 percent of 10^y, where x and y are integers, which
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Bunuel wrote:
If 10^x equals 0.1 percent of 10^y, where x and y are integers, which of the following must be true?
Given
10^x equals 0.1 percent of 10^y.
So, we can translate into equation.
\(10^x\) = 0.1% * \(10^y\)
\(10^x\) = (0.1 /100)* \(10^y\)
\(10^x\) = 0.001 *\(10^y\)
\(10^x\) = 1*\(10^{y-3}\)
\(10^x\) = \(10^{y-3}\)
x = y-3
y = x+3
Thus the best answer is B.
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Re: If 10^x equals 0.1 percent of 10^y, where x and y are integers, which
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Bunuel wrote:
If 10^x equals 0.1 percent of 10^y, where x and y are integers, which of the following must be true?
\(10^x\) \(=\) \(\frac{0.1}{100}\) \(*\) \(10^y\)
\(10^x = \frac{1}{1000} * 10^y\)
\(10^x = 10^{-3} * 10^y\)
\(x = -3 + y\)
\(y = x + 3\)
(B)
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Re: If 10^x equals 0.1 percent of 10^y, where x and y are integers, which
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selim wrote:
Bunuel wrote:
If 10^x equals 0.1 percent of 10^y, where x and y are integers, which of the following must be true?
Given
10^x equals 0.1 percent of 10^y.
So, we can translate into equation.
\(10^x\) = 0.1% * \(10^y\)
\(10^x\) = (0.1 /100)* \(10^y\)
\(10^x\) = 0.001 *\(10^y\)
\(10^x\) = 1*\(10^{y-3}\)
\(10^x\) = \(10^{y-3}\)
x = y-3
y = x+3
Thus the best answer is B.
Thank you for the explanation, that made the problem quite clear.
Although, I have to admit it feels weird learning math from Johnny Sins.
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A couple of things that helped me in verbal:https://gmatclub.com/forum/verbal-strategies-268700.html#p2082192
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Re: If 10^x equals 0.1 percent of 10^y, where x and y are integers, which
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Bunuel wrote:
If 10^x equals 0.1 percent of 10^y, where x and y are integers, which of the following must be true?
10^x=10^-3*10^y
x=-3+y
y=x+3
IMO B
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Re: If 10^x equals 0.1 percent of 10^y, where x and y are integers, which
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27 Jan 2019, 04:48
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63% (01:26) correct 
