JIPMAT 2021
Logical Reasoning
Dices & Cubes
Hard
This question is based on the information given below: The six faces of cube are painted in a manner that no two adjacent faces have the same colour. The three colours used in painting are red, blue and green. The cube is then cut into 36 smaller cubes in a manner that 32 cubes are of one size and the rest of a bigger size and each of the bigger cube has no red side. How many cubes only have one side coloured?
This question is based on the information given below: The six faces of cube are painted in a manner that no two adjacent faces have the same colour. The three colours used in painting are red, blue and green. The cube is then cut into 36 smaller cubes in a manner that 32 cubes are of one size and the rest of a bigger size and each of the bigger cube has no red side. How many cubes only have one side coloured?
Correct Option: 4
Given information:Total cubes after cutting cubes of one size, cubes biggerSix faces painted with red, blue, greenNo adjacent faces have same colorBigger cubes have no red sideTo find cubes with exactly one colored side:From standard cube layout:Corner pieces () have three colorsEdge pieces () have two colorsCenter pieces () have one colorInner pieces () have no colorWhen cut into pieces:Must be a cube with an extra layer making it pieces smaller cubes and bigger onesTo find cubes with only one side:Center pieces would have only one color = Edge middle pieces in extended layer = moreTotal = Therefore, cubes have exactly one colored face.
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