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

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If n is a positive integer and m = 6.25 × 10^n, what is the value of n  [#permalink]

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01 Sep 2016, 03:51
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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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Re: If n is a positive integer and m = 6.25 × 10^n, what is the value of n  [#permalink]

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01 Sep 2016, 08:54
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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If n is a positive integer and m = 6.25 × 10^n, what is the value of n  [#permalink]

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Updated on: 09 Mar 2017, 23:55
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.
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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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09 Mar 2017, 23:54
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
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Re: If n is a positive integer and m = 6.25 × 10^n, what is the value of n  [#permalink]

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10 Mar 2017, 01:31
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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Re: If n is a positive integer and m = 6.25 × 10^n, what is the value of n  [#permalink]

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13 Oct 2017, 20:30
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
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Re: If n is a positive integer and m = 6.25 × 10^n, what is the value of n  [#permalink]

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18 Jan 2019, 20:49
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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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