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# If 0.00012345 is between 1/10^n and 1/10^{n-1}, what is the value of n

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42
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If 0.00012345 is between 1/10^n and 1/10^{n-1}, what is the value of n  [#permalink]

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10 Apr 2019, 00:46
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Difficulty:

45% (medium)

Question Stats:

44% (01:03) correct 56% (01:31) wrong based on 39 sessions

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[GMAT math practice question]

If $$0.00012345$$ is between $$\frac{1}{10^n}$$ and $$\frac{1}{10^{n-1}}$$, what is the value of $$n$$?

A. 2
B. 3
C. 4
D. 5
E. 6

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" GMAT Club Legend Joined: 12 Sep 2015 Posts: 4009 Location: Canada Re: If 0.00012345 is between 1/10^n and 1/10^{n-1}, what is the value of n [#permalink] ### Show Tags 10 Apr 2019, 06:16 2 Top Contributor MathRevolution wrote: [GMAT math practice question] If $$0.00012345$$ is between $$\frac{1}{10^n}$$ and $$\frac{1}{10^{n-1}}$$, what is the value of $$n$$? A. 2 B. 3 C. 4 D. 5 E. 6 We need to examine powers of 10 that are smaller than AND greater than 0.00012345 We know that: 0.0001 < 0.00012345 < 0.001 Rewrite as FRACTIONS to get: 1/10,000 < 0.00012345 < 1/1,000 Rewrite as POWERS OF 10 to get: 1/10⁴ < 0.00012345 < 1/10³ We're told that 0.00012345 is between 1/10^n and 1/10^{n-1} So, we can now see that n = 4 Answer: C Cheers, Brent _________________ Test confidently with gmatprepnow.com Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8017 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: If 0.00012345 is between 1/10^n and 1/10^{n-1}, what is the value of n [#permalink] ### Show Tags 12 Apr 2019, 01:38 => $$0.0001 < 0.00012345 < 0.001$$ $$10^{-4} < 0.00012345 < 10^{-3}$$ $$\frac{1}{10^4} < 0.00012345 < \frac{1}{10^3}$$ Comparing this with $$\frac{1}{10^n} < 0.00012345 < \frac{1}{10^{n-1}}$$ yields $$n = 4$$. Therefore, the answer is C. Answer: C _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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Re: If 0.00012345 is between 1/10^n and 1/10^{n-1}, what is the value of n   [#permalink] 12 Apr 2019, 01:38
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