From the positions of a cube are shown below, Which letter will be on the face opposite to face with 'A'?

Here the common faces with number 3, are in same positions. Hence 6 is opposite to 2 and 5 is opposite to 1. Therefore 4 is opposite to 3.

The symbols of the adjacent faces to the face with symbol * are @, -, + and $. Hence the required symbol is 8.

In these 2 positions one common face with number 1 is in the same position. Hence according to the rule number (3), 2 is opposite 6 and 3 is opposite to 5. Therefore opposite to 4 is 1.

The pattern is + 5, + 20, + 80, + 320, ...... i.e. + (5 x 1²), + (5 x 2²), + (5 x 4²), + (5 x 8²),.....

So, missing term = 427 + (5 x 16²) = 427 + 1280 = 1707.

The pattern is - 1, x 10 + 1, - 1, x 10 + 1, - 1, x 10 + 1, .....

So, missing term = 10 x 10 + 1 = 101.

Here the common faces with 4 dots are in same positions.

Hence 2 will be opposite to 5.

In these 2 positions one common face with number 3, is in same position. Hence according to rule (3), 1 is opposite to 6 and 4 is opposite to 2. Therefore 5 is opposite to 3.

In first two positions of dice one common face containing 5 is same. Therefore according to rule no. (3) the face opposite to the face which contains 2 point, will contains 6 points.

The colours adjacent to yellow are orange, blue, red and rose. Hence violet will be opposite to yellow.

From position I and III common face with % is in the same position. Hence according to rule (3) opposite is X.