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Math Expert V
Joined: 02 Sep 2009
Posts: 58390
If n is a positive integer and m = 6.25 × 10^n, what is the value of n  [#permalink]

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Difficulty:   15% (low)

Question Stats: 76% (01:11) correct 24% (01:33) wrong based on 178 sessions

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If n is a positive integer and m = 6.25 × 10^n, what is the value of n?

(1) 500 < m < 5,000
(2) m < 6,250

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Current Student G
Joined: 22 Jun 2016
Posts: 231
Re: If n is a positive integer and m = 6.25 × 10^n, what is the value of n  [#permalink]

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1
If n is a positive integer, n can have values: 1,2,3,4 and so on.
So m can be 6.25, 62.5, 625, 6250 and so on.

Statement 1:
500 < m < 5,000
m can only be 625. So n will be 3.

Sufficient!

Statement 2:
m < 6,250
So, m can only be 6.25, 62.5 or 625. So n can be 1,2 or 3.

Insufficient!

Hence, the answer will be A.
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P.S. Don't forget to give Kudos Intern  B
Joined: 15 Oct 2014
Posts: 16
If n is a positive integer and m = 6.25 × 10^n, what is the value of n  [#permalink]

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14101992 wrote:
If n is a positive integer, n can have values: 1,2,3,4 and so on.
So m can be 6.25, 62.5, 625, 6250 and so on.

Statement 1:
500 < m < 5,000
m can only be 625. So n will be 3.

Sufficient!

Statement 2:
m < 6,250
So, m can only be 6.25, 62.5 or 625. So n can be 1,2 or 3.

Insufficient!

Hence, the answer will be A.

Your Option is right but the value of n will be 2 not 3.

Posted from my mobile device

Originally posted by awdxzs on 09 Mar 2017, 23:52.
Last edited by awdxzs on 09 Mar 2017, 23:55, edited 1 time in total.
Intern  B
Joined: 15 Oct 2014
Posts: 16
Re: If n is a positive integer and m = 6.25 × 10^n, what is the value of n  [#permalink]

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14101992 wrote:
If n is a positive integer, n can have values: 1,2,3,4 and so on.
So m can be 6.25, 62.5, 625, 6250 and so on.

Statement 1:
500 < m < 5,000
m can only be 625. So n will be 3.

Sufficient!

Statement 2:
m < 6,250
So, m can only be 6.25, 62.5 or 625. So n can be 1,2 or 3.

Insufficient!

Hence, the answer will be A.

Your Option is right but the value of n will be 2 not 3.

Posted from my mobile device

Posted from my mobile device
Director  S
Status: Come! Fall in Love with Learning!
Joined: 05 Jan 2017
Posts: 532
Location: India
Re: If n is a positive integer and m = 6.25 × 10^n, what is the value of n  [#permalink]

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m = 6.25 x 10^n
St 1: 500<m<5000. for n=1, m=62.5; for n=2, m=625 and for n=3, m=6250. the condition holds true only for n=2. ANSWER

St 2: m<6250. for this condition to hold true n will be 1,2. INSUFFICIENT

Option A
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GMAT Mentors Intern  Joined: 12 Oct 2017
Posts: 3
Re: If n is a positive integer and m = 6.25 × 10^n, what is the value of n  [#permalink]

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2
1
Statement 2:
If m < 6,250 then n can be 1, 2, 3. Insufficient

Statement 1:
For this type of statement, it will be difficult if you try to divide both sides of the inequality by the same number. Instead, you can try replacing n with different values, beginning from 1 (as n is a positive integer). The only value of n satisfied here is 2. Sufficient

=> A
Non-Human User Joined: 09 Sep 2013
Posts: 13204
Re: If n is a positive integer and m = 6.25 × 10^n, what is the value of n  [#permalink]

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_________________ Re: If n is a positive integer and m = 6.25 × 10^n, what is the value of n   [#permalink] 18 Jan 2019, 20:49
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