(i) and (ii) cannot be possible as the shaded face will not be adjacent to doted face.

Correct Option: D

(i) and (ii) cannot be possible as the shaded face will not be adjacent to doted face.

According to the rule ( 1 ) of dice , we know that
Two opposite faces cannot be adjacent to one another.

Correct Option: B

According to the rule ( 1 ) of dice , we know that
Two opposite faces cannot be adjacent to one another.
Clearly, the number 4 lies to the opposite of 2.

On the basis of question figure pattern ,
The numbers 1, 2, 5 and 6 are on the adjacent faces of number 3.
Therefore, the number 4 lies opposite 3.
The numbers 3, 4 and 6 cannot be on the faces opposite to 1.

Correct Option: D

On the basis of question figure pattern ,
The numbers 1, 2, 5 and 6 are on the adjacent faces of number 3.
Therefore, the number 4 lies opposite 3.
The numbers 3, 4 and 6 cannot be on the faces opposite to 1.
Therefore, 5 lies opposite 1.
Now, 2 lies opposite 6.

On the basis of question figure pattern , we can see that
The numbers 1, 2, 5 and 6 are on the faces adjacent to the number 4.
So, the number 3 lies opposite 4.
The numbers 1, 3, 4 and 6 lies on the faces adjacent to the number 2.

Correct Option: A

On the basis of question figure pattern , we can see that
The numbers 1, 2, 5 and 6 are on the faces adjacent to the number 4.
So, the number 3 lies opposite 4.
The numbers 1, 3, 4 and 6 lies on the faces adjacent to the number 2.
So, the number 5 lies opposite 2.
Now, the number 1 lies opposite 6.

There is 6 columns with 2 cubes each.

Correct Option: C

There is 6 columns with 2 cubes each.
Total boxes = 6 × 2 = 12