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.

(d) There are 8 cubes in layer I, 4 cubes in layer II, 4 cubes in layer III and 8 cubes in layer IV which have only two faces painted. Thus, there are 8 + 4 + 4 + 8 = 24 such cubes.

Hence he correct option is D.

In the above question, there is cube given :

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.

(c) There are 4 cubes in layer 1, 8 cubes in layer II, 8 cubes in layer III and 4 cubes in layer IV which have only one face painted. Thus, there are  4 + 8 + 8 + 4 = 24 such cubes.

Hence the correct option is C.

In the above question,there is 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.

(b) There are 4 + 4 = 8 cubes in layer I and  4 + 4 = 8  cubes in layer IV which have one face painted blue and one face painted red. Thus, there are 16 such cubes.

Hence the correct option is B.