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Math Expert V
Joined: 02 Sep 2009
Posts: 58402
If 10^x equals 0.1 percent of 10^y, where x and y are integers, which  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 63% (01:22) correct 37% (01:26) wrong based on 139 sessions

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If 10^x equals 0.1 percent of 10^y, where x and y are integers, which of the following must be true?

A. y = x + 2
B. y = x + 3
C. x = y + 3
D. y = 1,000x
E. x = 1,000y

_________________
Retired Moderator D
Joined: 25 Feb 2013
Posts: 1178
Location: India
GPA: 3.82
If 10^x equals 0.1 percent of 10^y, where x and y are integers, which  [#permalink]

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1
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?

A. y = x + 2
B. y = x + 3
C. x = y + 3
D. y = 1,000x
E. x = 1,000y

$$10^x=0.1$$%$$*10^y$$

$$=>10^x=\frac{0.1}{100}*10^y=>10^x*100=10^{-1}*10^y$$

$$=>10^{x+2}=10^{y-1}$$

$$=>x+2=y-1 => y=x+3$$

Option B
VP  D
Joined: 31 Oct 2013
Posts: 1464
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
If 10^x equals 0.1 percent of 10^y, where x and y are integers, which  [#permalink]

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1
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?

A. y = x + 2
B. y = x + 3
C. x = y + 3
D. y = 1,000x
E. x = 1,000y

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.
SVP  V
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1685
Location: India
Concentration: International Business, Operations
Schools: INSEAD Jan '19
GPA: 3.01
WE: Engineering (Real Estate)
Re: If 10^x equals 0.1 percent of 10^y, where x and y are integers, which  [#permalink]

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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?

A. y = x + 2
B. y = x + 3
C. x = y + 3
D. y = 1,000x
E. x = 1,000y

$$10^x$$ $$=$$ $$\frac{0.1}{100}$$ $$*$$ $$10^y$$

$$10^x = \frac{1}{1000} * 10^y$$

$$10^x = 10^{-3} * 10^y$$

$$x = -3 + y$$

$$y = x + 3$$

(B)
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LBS Moderator D
Joined: 04 Jun 2018
Posts: 648
Location: Germany
Concentration: General Management, Finance
GMAT 1: 730 Q47 V44 GPA: 3.4
WE: Analyst (Transportation)
Re: If 10^x equals 0.1 percent of 10^y, where x and y are integers, which  [#permalink]

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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?

A. y = x + 2
B. y = x + 3
C. x = y + 3
D. y = 1,000x
E. x = 1,000y

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. _________________
GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 5014
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If 10^x equals 0.1 percent of 10^y, where x and y are integers, which  [#permalink]

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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?

A. y = x + 2
B. y = x + 3
C. x = y + 3
D. y = 1,000x
E. x = 1,000y

10^x=10^-3*10^y
x=-3+y
y=x+3
IMO B Re: If 10^x equals 0.1 percent of 10^y, where x and y are integers, which   [#permalink] 27 Jan 2019, 05:48
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