Interview Question

Junior Business Analyst Interview

-London, England, England

3H Partners

You have a cube which is built from smaller cubes, dimensions are 10x10x10cubes. The cube fell into a bucket with red paint. How many cubes left uncoloured.

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11 Answers

2

it was a straightforward question and numerical answer expected

interviewed on

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Cube is 10 x 10 x 10 meaning W=10, L=10 D=10. To get the total number of cubes we need to calculate the area of 1 face of the cube (L10 x W10 = 100) and multiply it by D10 = 1000 cubes inside. Now if the cube fell into a bucket with red paint the only cubes that won't be colored are those on the inside. therefore we know that a cube has 6 faces, each of them has (L10 x W10) cubes, therefore 1000 - (100 x 6) = 400 cubes won't be colored.

Anonymous on

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pretty sure you've got it totally wrong

interviewed on

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yes, it is wrong but not totally, just the calculation of the internal cubes which should have been W8 x L8 x D8 = 512 cubes not painted

Anonymous on

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This question requires more details. Firstly, it did not state clearly whether the smaller individual cubes are 10x10x10 or the big cube. The question did not state the nature of the paint, whether it is very aqueous and fluid or very thick. Is it a water-based or oil based paint? Is the bucket of paint bigger than the cube or is the cube bigger than the bucket or are they both about the same size? The question did not also take account of the the nature of the cube itself, what material is it made of? Is it permeable or is it sealed? Is it heavy and submersible or very light and floats easily. All these parameters need to be taken into consideration.

Arthur Gimba on

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I got 512, just counted all the cubes inside (hopefully correctly 😁👌)

Ilana Aleksejenko on

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400 cubes will have no colour

Juliet Asemota on

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Requirement Elicitation is necessary at this point How many cubes where used were they collapsible or squashable is it penetrable

Juliet Asemota on

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I guess 9x9x9

mary on

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400 cubes left uncoloured, total cubes are 1000 (10×10×10). When submerged in paint total affected will be the total surface area 600 cubes 6 × (10×10). Therefore the difference between the total and the total affected would give you 400 cubes unaffected.

Chidi Ewulonu on

1

This is a taught answer, they want to know the logic behind your thinking. I would ask: How did it fall? did someone pushed it or it was blew by wind? At what angle did it fall? Side or middle of paint? How close was this bucket? Is the paint water base? this will determine if the cube sank or shallow. As a BA, you need to ask lots of questions and gather or analyse data before you can even begin to give answers or recommendations.

Sharon on

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