Directions : Questions (73-77), A solid black is formed by arranging some cubes of equal dimensions, as shown in the figure given below. Whole of the block except the base has been coloured Green. Answer the following questions.

73. How many cubes have four faces coloured?

  A.  0
  B.  2
  C.  1
  D.  3
     
   
View Answer

Option (B) is the correct answer.

74. How many cubes have exactly three faces coloured?

  A.  8
  B.  2
  C.  4
  D.  11
     
   
View Answer

Option (A) is the correct answer.


75. How many cubes have exactly two faces coloured?
  A.  9
  B.  11
  C.  15
  D.  13
     
   
View Answer

Option (D) is the correct answer.


76. How many cubes have only one face coloured?

  A.  14
  B.  18
  C.  24
  D.  26
     
   
View Answer

Option (C) is the correct answer.


77. How many cubes are not coloured on any face?
  A.  6
  B.  9
  C.  8
  D.  11
     
   
View Answer

Option (B) is the correct answer.


78. The minimum number of colours required to paint all the sides of a cube that no two adjacent faces may have the same colours is:
  A.  1
  B.  4
  C.  6
  D.  3
     
   
View Answer

Option (D) is the correct answer.


Directions : Questions (79-82), Three adjacent faces of a cube are coloured brown. The cube is then cut (once horizontally and once vertically to form four cuboids of equal size each of these cuboids is coloured magenta on all the uncoloured faces and is then cut (as before) into four cuboids of equal size.

79. How many cuboids have two faces coloured magenta?
  A.  6
  B.  3
  C.  4
  D.  8
     
   
View Answer

Option (A) is the correct answer.


80. How many cuboids have three faces coloured magenta?
  A.  8
  B.  7
  C.  9
  D.  3
     
   
View Answer

Option (C) is the correct answer.


81. How many cuboids have three faces coloured brown?
  A.  0
  B.  1
  C.  2
  D.  4
     
   
View Answer

Option (B) is the correct answer.


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