Six numbers 1, 2, 3, 4, 5 and 6 are written on different faces of a dice. Two positions of this dice are shown in the following figure. Find the number on the face opposite to 2.
- A1
- B5
- C4
- D6
Solution & Step-by-step Explanation
Let's compare the two positions of the dice:
Position 1 shows faces: 1, 2, 3
Position 2 shows faces: 1, 5, 6
The face number 1 is common to both positions. Keeping 1 fixed and moving in a clockwise direction for both dice:
From first position: 1→2→3
From second position: 1→6→5
By matching the corresponding positions:
2 is opposite to 6.
3 is opposite to 5.
1 is opposite to the remaining number, which is 4.
Therefore, the face opposite to 2 is 6.
Position 1 shows faces: 1, 2, 3
Position 2 shows faces: 1, 5, 6
The face number 1 is common to both positions. Keeping 1 fixed and moving in a clockwise direction for both dice:
From first position: 1→2→3
From second position: 1→6→5
By matching the corresponding positions:
2 is opposite to 6.
3 is opposite to 5.
1 is opposite to the remaining number, which is 4.
Therefore, the face opposite to 2 is 6.