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If m = n = 3s and m*n*s = 243, then s is equal to:

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Bunuel
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If m = n = 3s and m*n*s = 243, then s is equal to: [#permalink] If m = n = 3s and m*n*s = 243, then s is equal to:   03 Oct 2019, 05:36
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A
B
C
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E

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Question Stats:

79% (01:02) correct 21% (01:39) wrong based on 94 sessions
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If m = n = 3s and m*n*s = 243, then s is equal to:

A. 2√2
B. 3
C. 4
D. 3√3
E. 9
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B
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Mohammadmo
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Re: If m = n = 3s and m*n*s = 243, then s is equal to: [#permalink] If m = n = 3s and m*n*s = 243, then s is equal to:   03 Oct 2019, 05:39
9s³=243
s³=27
So,s=3
hence, option B

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Re: If m = n = 3s and m*n*s = 243, then s is equal to: [#permalink] If m = n = 3s and m*n*s = 243, then s is equal to:   03 Oct 2019, 06:04
Bunuel
If m = n = 3s and m*n*s = 243, then s is equal to:

A. 2√2
B. 3
C. 4
D. 3√3
E. 9

\(m = n = 3s\)and
\(m*n*s = 243\)
—> \((3s)*(3s)*s = 243\)
—> \(9*s^3 = 243\)
—> \(s^3 = 27\)
—> \(s = 3\)

IMO Option B

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Re: If m = n = 3s and m*n*s = 243, then s is equal to: [#permalink] If m = n = 3s and m*n*s = 243, then s is equal to:   03 Oct 2019, 08:59
Bunuel
If m = n = 3s and m*n*s = 243, then s is equal to:

A. 2√2
B. 3
C. 4
D. 3√3
E. 9

\(243 = 3^5\)

If s = 3 , we have m = 3^2 , \(n = 3^2\) thus we have \(3^2*3^2*3 = 3^5\) , Thus, Answer must be \(s = 3\) (B)
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Re: If m = n = 3s and m*n*s = 243, then s is equal to: [#permalink] If m = n = 3s and m*n*s = 243, then s is equal to:   07 Oct 2019, 11:32
Expert Reply
Bunuel
If m = n = 3s and m*n*s = 243, then s is equal to:

A. 2√2
B. 3
C. 4
D. 3√3
E. 9

Simplifying, we have:

3s * 3s * s = 243

9s^3 = 243

s^3 = 27

s = 3

Answer: B
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gmatclubot
Re: If m = n = 3s and m*n*s = 243, then s is equal to: [#permalink]
07 Oct 2019, 11:32
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Bunuel
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