February 18 , 2019
February 18 , 2019
10:00 PM PST
11:00 PM PST
We don’t care what your relationship status this year - we love you just the way you are. AND we want you to crush the GMAT!
February 18 , 2019
February 18 , 2019
10:00 PM PST
11:00 PM PST
Buy "All-In-One Standard ($149)", get free Daily quiz (2 mon). Coupon code : SPECIAL
Author
Message
TAGS:
Math Expert
Joined: 02 Sep 2009
Posts: 52917
If 10^x equals 0.1 percent of 10^y, where x and y are integers, which
[#permalink ]
Show Tags
15 Jul 2018, 07:42
D
E
Add Notes
Question Stats:
63% (01:26) correct
37% (01:25) wrong
based on 120 sessions
Hide Show timer Statistics
Retired Moderator
Joined: 25 Feb 2013
Posts: 1216
Location: India
GPA: 3.82
If 10^x equals 0.1 percent of 10^y, where x and y are integers, which
[#permalink ]
Show Tags
15 Jul 2018, 07:49
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
Joined: 31 Oct 2013
Posts: 1128
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 ]
Show Tags
15 Jul 2018, 09:44
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.
VP
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1398
Location: India
Concentration: International Business, Operations
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 ]
Show Tags
20 Jul 2018, 00:13
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)
_________________
"Do not watch clock; Do what it does. KEEP GOING."
Senior Manager
Joined: 04 Jun 2018
Posts: 417
Location: Germany
Concentration: General Management, Finance
GPA: 3.6
WE: Analyst (Transportation)
Re: If 10^x equals 0.1 percent of 10^y, where x and y are integers, which
[#permalink ]
Show Tags
05 Jan 2019, 04:36
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.
_________________
A couple of things that helped me in verbal:https://gmatclub.com/forum/verbal-strategies-268700.html#p2082192 Gmat Prep CAT #1: V42, Q34, 630 Gmat Prep CAT #2: V46, Q35, 660 Gmat Prep CAT #3: V41, Q42, 680 On the mission to improve my quant score, all help is appreciated!
SVP
Joined: 18 Aug 2017
Posts: 1792
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 ]
Show Tags
27 Jan 2019, 04:48
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
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Re: If 10^x equals 0.1 percent of 10^y, where x and y are integers, which
[#permalink ]
27 Jan 2019, 04:48