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If m^3-n^2=-300

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If m^3-n^2=-300

by guerrero » Mon Apr 01, 2013 12:24 am
If m^3-n^2=-300, then the lowest possible value of m is between

(A)-20 and -15
(B)-15 and -10
(C)-10 and -5
(D)-5 and 0
(E)0 and 5

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by Anju@Gurome » Mon Apr 01, 2013 12:35 am
guerrero wrote:If m³ - n² = -300, then the lowest possible value of m is between
m³ = n² - 300

For lowest value of m, m³ will also have the lowest value.
And m³ will have the lowest value when n² will be lowest.

Lowest possible value of n² is 0.
So, lowest possible value of m³ is -300
Hence, lowest possible value of m is -(cube root of 300)

Now, look at the options.
0³ = 0, 5³ = 125, 10³ = 1000

Hence, -10 < m < -5

The correct answer is C.
Anju Agarwal
Quant Expert, Gurome

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