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Bunuel
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If n is a positive integer and p = 3.021 × 10n, what is the value of n 12 Oct 2017, 04:09
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

65% (hard)

Question Stats:

51% (01:41) correct 49% (01:34) wrong based on 105 sessions

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If n is a positive integer and p = 3.021*10^n, what is the value of n?

(1) 3,021 < p < 302,100
(2) 10^3 < p < 10^5
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A
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niks18
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If n is a positive integer and p = 3.021 × 10n, what is the value of n 12 Oct 2017, 08:25
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Bunuel
If n is a positive integer and p = 3.021*10^n, what is the value of n?

(1) 3,021 < p < 302,100
(2) 10^3 < p < 10^5
Show more

Statement 1: \(3021<3.021*10^n<302100\). divide both sides of the inequality by \(3.021\) to get

\(10^3<10^n<10^5\) as \(n\) is an integer, only value in this range is \(n=4\). Sufficient

Statement 2: \(1000<p<100000\)

now if \(n=3\), then \(p = 3021\) and \(1000<3021<100000\)

but if \(n = 4\), then \(p=30210\) and \(1000<30210<100000\)

Hence there is no unique value. Insufficient

Option A
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If n is a positive integer and p = 3.021 × 10n, what is the value of n 14 Jul 2018, 08:54
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niks18
Bunuel
If n is a positive integer and p = 3.021*10^n, what is the value of n?

(1) 3,021 < p < 302,100
(2) 10^3 < p < 10^5

Statement 1: \(3021<3.021*10^n<302100\). divide both sides of the inequality by \(3.021\) to get

\(10^3<10^n<10^5\) as \(n\) is an integer, only value in this range is \(n=4\). Sufficient

Statement 2: \(1000<p<100000\)

now if \(n=3\), then \(p = 3021\) and \(1000<3021<100000\)

but if \(n = 4\), then \(p=30210\) and \(1000<30210<100000\)

Hence there is no unique value. Insufficient

Option A
Show more

Dear Moderator,
Kindly explain how OA is D? IMO it should be A
statement B :
\(10^3\)< P \(< 10^5\)

since 3021 and 30210 both are between \(10^3\) and \(10^5\) hence does not seem sufficient.

1,000 < 3,021 <30,210 <100,000 hence value of P can be 3021 or 30210
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If n is a positive integer and p = 3.021 × 10n, what is the value of n 15 Jul 2018, 00:43
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niks18
Bunuel
If n is a positive integer and p = 3.021*10^n, what is the value of n?

(1) 3,021 < p < 302,100
(2) 10^3 < p < 10^5

Statement 1: \(3021<3.021*10^n<302100\). divide both sides of the inequality by \(3.021\) to get

\(10^3<10^n<10^5\) as \(n\) is an integer, only value in this range is \(n=4\). Sufficient

Statement 2: \(1000<p<100000\)

now if \(n=3\), then \(p = 3021\) and \(1000<3021<100000\)

but if \(n = 4\), then \(p=30210\) and \(1000<30210<100000\)

Hence there is no unique value. Insufficient

Option A

Dear Moderator,
Kindly explain how OA is D? IMO it should be A
statement B :
\(10^3\)< P \(< 10^5\)

since 3021 and 30210 both are between \(10^3\) and \(10^5\) hence does not seem sufficient.

1,000 < 3,021 <30,210 <100,000 hence value of P can be 3021 or 30210
Show more

_________________________
The OA ia A. Edited. Thank you.
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