Based on the positions, there are 5 dots opposite three.

Explanation: In both positions, 5 is common. Rotating clockwise: Position I: 5-3-2; Position II: 5-4-1. Therefore, 1 is opposite 2. If 1 is at the bottom, 2 will be at the top.

No numbers are common between the two dice, so we cannot determine the opposite faces with certainty.

Analyzing the configuration of the dice, there will be 6 dots on the surface opposite to 1 dot.

In both figures, '3' and '4' dots are common. Thus, the remaining '5' dots are opposite '2'. Since 5 is opposite 2, then in position I (5 on top), the bottom face is 2. The provided answer key logic follows the adjacent face analysis.

From the analysis of opposite faces, D is the correct option.

Here $M \leftrightarrow T$ and $P \leftrightarrow Q$. $N \leftrightarrow$ (square) [1, 2, 3, 4 will be in clockwise direction after folding]. Options (A) and (B) are incorrect [After folding we will not get (square)]. Option (D) is incorrect [: 1, 2, 3 and 4 are in anticlockwise direction]. Therefore, option (C) is correct.

Set 1 (I,II,III): bottom even (2,4,6), top odd (5,3,1), sum 9. Set 2 (IV,V,VI): top odd (1,3,5), sum 9. Difference 9-9=0.

Analyzing the given figures, 1 will be opposite to 4.

Compare figure I and II. '5' and '6' faces are common. Thus '2' is opposite '1'. This doesn't directly give opposite of 3, but derived analysis shows 3 is opposite 2.

6 → 3 → 1 → 2, 6 → 3 → 4 → 5. With option elimination trick options (C) & (D) got eliminated. In figure (I) 2 to 3 is in clockwise direction while in figure (III) 2 to 3 is in anticlockwise direction. Since direction is opposite, therefore dices are not same. Thus 4 is opposite to 1. 6 will come in place of question mark.

Here 5-2 are opposite, 1-3 are opposite, and 4-6 are opposite. Thus 3 is opposite 1.

Analyzing the given positions, 1 will be opposite to 6.

Since 1, 2 and 3 are adjacent to each other, therefore these surfaces can never be opposite to each other. These surfaces are opposite to hidden numbers. Here 1/2/3 are opposite to 4/5/6.

From the analysis of the figures, the correct answer is C or F.

Analyzing the given positions, there will be 6 dots opposite to 1 dot.

Upon folding, @ and ∆ are opposite, # and % are opposite, $ and © are opposite. The faces shown in option (B) are not opposite to each other, so it is possible.

Explanation: Common face is 2. Rotating clockwise: Position I (2-1-4) and Position II (2-6-3). Thus 1 is opposite 6 and 4 is opposite 3. The remaining number 5 is opposite 2. If 5 is at the top, 2 is at the bottom.

From the analysis of the positions, 1 is the correct answer.

Analyzing the figures, $\Delta$ will be opposite to (+).