In the above question, there a cube given below :

Clearly, 16 columns of 4 cubes each, are formed , by cutting the cube of 8 cm side into cubes of 2 cm side. To analyse the figure, four horizontal layers of 16 cubes each, are studied separately.

In layer I : four central cubes have only one face painted red, four cubes at the corners have three faces painted - red, blue and black . Out of the remaining  8 cubes , four cubes have two faces painted - red and black and four cubes have two faces painted - red and blue.

In layer II : four central  cubes have no face painted, four cubes at the corners have two faces painted - blue and black. Out of the remaining 8 cubes - four cubes have only one face painted - blue  and four cubes have only one face painted - black.

In layer III : four central cubes have no face painted, four cubes at the corners have two faces painted - blue  and black. Out of the remaining 8 cubes - four cubes have only one  face painted - blue and four cubes have only one face painted - black.

In layer IV : four central cubes have only one face painted - red, four cubes at the corners have three faces painted - red, blue and black. Out of the remaining 8 cubes - four cubes have two faces painted - red and black and four cubes have two faces painted - red and blue.

(d) Four corner cubes in layer I and four corner cubes in layer IV have three faces painted. Thus, there are 8 such cubes.

Hence the correct option is D.

In the above question there is cube given below :

Clearly, 16 columns of 4 cubes each, are formed , by cutting the cube of 8 cm side into cubes of 2 cm side. To analyse the figure, four horizontal layers of 16 cubes each, are studied separately.

In layer I : four central cubes have only one face painted red, four cubes at the corners have three faces painted - red, blue and black . Out of the remaining  8 cubes , four cubes have two faces painted - red and black and four cubes have two faces painted - red and blue.

In layer II : four central  cubes have no face painted, four cubes at the corners have two faces painted - blue and black. Out of the remaining 8 cubes - four cubes have only one face painted - blue  and four cubes have only one face painted - black.

In layer III : four central cubes have no face painted, four cubes at the corners have two faces painted - blue  and black. Out of the remaining 8 cubes - four cubes have only one  face painted - blue and four cubes have only one face painted - black.

In layer IV : four central cubes have only one face painted - reed, four cubes at the corners have three faces painted - red, blue and black. Out of the remaining 8 cubes - four cubes have two faces painted - red and black and four cubes have two faces painted - red and blue.

(a) There are four layers of 16 cubes each. Thus, there are cubes in all.

Hence the correct option is A.

In the above question there is cube given below :

Clearly, 16 columns of 4 cubes each, are formed , by cutting the cube of 8 cm side into cubes of 2 cm side. To analyse the figure, four horizontal layers of 16 cubes each, are studied separately.

In layer I : four central cubes have only one face painted red, four cubes at the corners have three faces painted - red, blue and black . Out of the remaining  8 cubes , four cubes have two faces painted - red and black and four cubes have two faces painted - red and blue.

In layer II : four central  cubes have no face painted, four cubes at the corners have two faces painted - blue and black. Out of the remaining 8 cubes - four cubes have only one face painted - blue  and four cubes have only one face painted - black.

In layer III : four central cubes have no face painted, four cubes at the corners have two faces painted - blue  and black. Out of the remaining 8 cubes - four cubes have only one  face painted - blue and four cubes have only one face painted - black.

In layer IV : four central cubes have only one face painted - red, four cubes at the corners have three faces painted - red, blue and black. Out of the remaining 8 cubes - four cubes have two faces painted - red and black and four cubes have two faces painted - red and blue.

(b) There are four cubes in layer I and four cubes in layer IV which have two faces painted  red and black and all other faces unpainted. Thus, there are 8 such cubes.

Hence the correct option is B.