Q1
A dice is thrown four times and its four different positions are shown below. Find the number on the face opposite the face showing 2.
Answer: C
Asked: the number opposite 2.
Faces visible together in each figure (any two faces seen together are adjacent):
- Figure 1: 6, 2, 4
- Figure 2: 2, 3, 4
- Figure 3: 3, 5, 4
- Figure 4: 1, 3, 2
Faces adjacent to 2: 6 and 4 (figure 1), 3 (figures 2 and 4) and 1 (figure 4).
A face has exactly four neighbours, so the remaining number, 5, is opposite 2.
Check the other pairs: 4 appears with 6, 2, 3 and 5, so 4 is opposite 1. That leaves 3 opposite 6. All four figures fit these pairs: none of them shows 2 with 5, 4 with 1, or 3 with 6.
The value 4 cannot be the answer, because 2 and 4 are seen side by side in figures 1 and 2.
Answer: 5