In a dice, if 2 is adjacent to 3, 5 and 6, then which of the following is necessarily true?
TNPSC Group 1 - 2025, TNPSC - 2025,
Answer: B
If 2 is adjacent to 3, 5 and 6, its fourth neighbour is one of 1 and 4 and the other one is opposite to 2. The face opposite 2 touches all four faces around it, so it touches 3, 5, 6 and the remaining one of 1 and 4.
Therefore 1 and 4 are always adjacent, option B. 3 and 6 are adjacent in some arrangements but not necessarily, and 2 is adjacent to only one of 1 and 4, so the other options are not forced.
A die has three pairs of opposite faces, and each face is adjacent to the four faces other than itself and its opposite, which is the rule used above.
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