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Bunuel
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If n is a positive integer and m = 6.2*10^n, what is the value of m? 20 Aug 2019, 01:49
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58% (01:58) correct 42% (02:07) wrong based on 95 sessions

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If n is a positive integer and \(m = 6.2*10^n\), what is the value of m?

(1) \(6*10^3 < m < 5*10^5\)

(2) \(m^2 = 3.844*10^9\)
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B
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If n is a positive integer and m = 6.2*10^n, what is the value of m? 20 Aug 2019, 04:22
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Bunuel
If n is a positive integer and \(m = 6.2*10^n\), what is the value of m?

(1) \(6*10^3 < m < 5*10^5\)

(2) \(m^2 = 3.844*10^9\)
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given \(m = 6.2*10^n\),
or say 62*10^n-1

#1
\(6*10^3 < m < 5*10^5\)
here from m = 62*10^n-1 value of n can be 3,4 ,5 insufficient
#2
\(m^2 = 3.844*10^9\)[/quote]

m^2= 3844*10^6
m= 62*10^3
sufficient
IMO B
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If n is a positive integer and m = 6.2*10^n, what is the value of m? 20 Aug 2019, 05:45
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Bunuel
If n is a positive integer and \(m = 6.2*10^n\), what is the value of m?

(1) \(6*10^3 < m < 5*10^5\)

(2) \(m^2 = 3.844*10^9\)
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Given:
1. n is a positive integer
2. \(m = 6.2*10^n\)

Asked: What is the value of m?

(1) \(6*10^3 < m < 5*10^5\)
m>6*10^3 = > m>6.2*10^2
m<5*10^5 = > m<6.2*10^5
m = 3 or 4
NOT SUFFICIENT

(2) \(m^2 = 3.844*10^9\)
m = \sqrt{38.44}*10^4
m = 6.2*10^4
SUFFICIENT

IMO B
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If n is a positive integer and m = 6.2*10^n, what is the value of m? 20 Aug 2019, 05:47
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Archit3110
Bunuel
If n is a positive integer and \(m = 6.2*10^n\), what is the value of m?

(1) \(6*10^3 < m < 5*10^5\)

(2) \(m^2 = 3.844*10^9\)


given \(m = 6.2*10^n\),
or say 62*10^n-1

#1
\(6*10^3 < m < 5*10^5\)
here from m = 62*10^n-1 value of n can be 3,4 ,5 insufficient
#2
\(m^2 = 3.844*10^9\)
Show more

m^2= 3844*10^6
m= 62*10^3
sufficient
IMO B[/quote]

Archit3110

If m = 6.2 * 10^5 => m is NOT <5*10^5
n = 3 or 4 and NOT 5
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If n is a positive integer and m = 6.2*10^n, what is the value of m? 20 Aug 2019, 18:34
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Are the 2 options supposed to reference n and not m, otherwise they give straight solutions.

1. m is between 6k and 500k, obviously not a specific value of m => not sufficient
2. m^2 allows for a solution for a specific value of m => sufficient
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If n is a positive integer and m = 6.2*10^n, what is the value of m? 24 Apr 2020, 07:09
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while we take square root for st 2 - will it not give a +/- answer?
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If n is a positive integer and m = 6.2*10^n, what is the value of m? 24 Apr 2020, 07:34
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ajaykv
while we take square root for st 2 - will it not give a +/- answer?
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But m=6.2*10^n, so m will always be positive....
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