GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
If 10^(n-1)< 0.000125 <10^n, what is the value of an integer n? A. -4
[#permalink]
17 Mar 2021, 09:56
17 Mar 2021, 09:56
Expert Reply
1
Bookmarks
00:00
Question Stats:
61% (01:38) correct
38% (01:21) wrong based on 21 sessions
Hide Show timer Statistics
If \(10^{(n-1)}< 0.000125 <10^n\), what is the value of an integer n?
A. -4
B. -3
C. -2
D. 3
E. 4
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. -4
B. -3
C. -2
D. 3
E. 4
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If 10^(n-1)< 0.000125 <10^n, what is the value of an integer n? A. -4
[#permalink]
17 Mar 2021, 17:03
17 Mar 2021, 17:03
1
Carcass wrote:
If \(10^{(n-1)}< 0.000125 <10^n\), what is the value of an integer n?
A. -4
B. -3
C. -2
D. 3
E. 4
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. -4
B. -3
C. -2
D. 3
E. 4
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Let's TEST some values.
Answer choice A
If n = -4, when we get: 10^(-4-1)< 0.000125 < 10^(-4)
Simplify to get: 10^(-5) < 0.000125 < 10^(-4)
Or we can say: 1/100,000 < 0.000125 < 1/10,0000
Rewrite as decimals to get: 0.00001 < 0.000125 < 0.0001
This is NO GOOD, because 0.000125 is GREATER than 0.0001
ELIMINATE A
Answer choice B
If n = -3, when we get: 10^(-3-1)< 0.000125 < 10^(-3)
Rewrite as decimals to get: 0.0001 < 0.000125 < 0.001
PERFECT!!
Answer: B
Cheers,
Brent
Re: If 10^(n-1)< 0.000125 <10^n, what is the value of an integer n? A. -4
[#permalink]
16 Apr 2021, 01:26
16 Apr 2021, 01:26
1
If 10^(n-1)< 0.000125 <10^n
Rewrite as: If 10^(n-1)< 125 * 10 ^-6 <10^n
Take first half of inequality: 10 ^(n-1) < 125 * 10^-6
10 ^(n+5) < 125
Of the powers of 10, 10 ^2 = 100 < 125
n + 5 = 2 --> n = -3
Rewrite as: If 10^(n-1)< 125 * 10 ^-6 <10^n
Take first half of inequality: 10 ^(n-1) < 125 * 10^-6
10 ^(n+5) < 125
Of the powers of 10, 10 ^2 = 100 < 125
n + 5 = 2 --> n = -3
