Instructions

A questionis followed by data in the form of two statements labelled as I and II. You must decide whether the data given in the statements are
sufficient to answer the questions.

Question 19

For integers a and b is $$\left(a^3 + b^3\right)^{\frac{1}{3}}$$ an integer?
I. $$a^3 + b^3$$ is an even integer
II. $$a^3 + b^3$$ is equal to the volume of a box with dimensions 12 cm, 18 cm and 125 cms.

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AP ICET 2012

For integers a and b is $$\left(a^3 + b^3\right)^{\frac{1}{3}}$$ an integer?I. $$a^3 + b^3$$ is an even integerII. $$a^3 + b^3$$ is equal to the volume of a box with dimensions 12 cm, 18 cm and 125 cms.

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For integers a and b is $$\left(a^3 + b^3\right)^{\frac{1}{3}}$$ an integer?
I. $$a^3 + b^3$$ is an even integer
II. $$a^3 + b^3$$ is equal to the volume of a box with dimensions 12 cm, 18 cm and 125 cms.