Olympiad – Class X – Reasoning ( Non-Verbal ) - Cubes and Dice

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Question - 1

A dice has been thrown four times that produces results as shown below.

Which number will appear opposite to the number 3?

  • A 4
  • B 5
  • C 6
  • D 1

Question - 2

Count the number of cubes for the following figure.

  • A 80
  • B 87
  • C 89
  • D 90

Question - 3

Count the number of cubes in the given figure.

  • A 48
  • B 49
  • C 50
  • D 52

Question - 4

A cube, painted yellow on all faces is cut into 27 small cubes of equal size. How many small cubes are painted on one face only?

  • A 1
  • B 6
  • C 8
  • D 12

Question - 5

A cube is coloured red on all faces. It is cut into 64 smaller cubes of equal size. How many cubes have no face coloured?

  • A 24
  • B 16
  • C 8
  • D 4

Question - 6

A cube is painted red on two adjacent faces and black on the faces opposite to the red faces and green on the remaining faces. It is now cut into sixty-four smaller cubes of equal size.
How many cubes have only one face painted red?

  • A 8
  • B 12
  • C 16
  • D 24

Question - 7

A cube is painted red on two adjacent faces and black on the faces opposite to the red faces and green on the remaining faces. It is now cut into sixty-four smaller cubes of equal size.
How many cubes have one face green and one of the adjacent faces black or red?

  • A 8
  • B 16
  • C 24
  • D 28

Question - 8

A cube is cut in two equal parts along a plane parallel to one of its faces. One piece is then coloured red on the two larger faces and green on the remaining, while the other is coloured green on two smaller adjacent faces and red on the remaining. Each is then cut into 32 cubes of same size and mixed up.
How many cubes have one red face each?

  • A 28
  • B 32
  • C 0
  • D 50

Question - 9

A cube is cut in two equal parts along a plane parallel to one of its faces. One piece is then coloured red on the two larger faces and green on the remaining, while the other is coloured green on two smaller adjacent faces and red on the remaining. Each is then cut into 32 cubes of same size and mixed up.
How many cubes have atleast two faces coloured red?

  • A 0
  • B 32
  • C 80
  • D 128

Question - 10

A cube is cut in two equal parts along a plane parallel to one of its faces. One piece is then coloured red on the two larger faces and green on the remaining, while the other is coloured green on two smaller adjacent faces and red on the remaining. Each is then cut into 32 cubes of same size and mixed up.
What is the total number of red faces?

  • A 0
  • B 64
  • C 80
  • D 128