Two different positions of the same dice are given below. Which is the number on the face opposite the face containing 1?

Correct — A. Rule: two faces visible in the same view can never be opposite each other.

The first view shows 6, 5 and 4 together. The second shows 6, 3 and 2 together.

So 6 is adjacent to 5, 4, 3 and 2 — four distinct faces.

A cube has six faces: four neighbours and one opposite. With 2, 3, 4 and 5 all neighbouring 6, the only face left to lie opposite 6 is 1.

Opposition works both ways, so the face opposite 1 is 6 — option (a).

Why the others are wrong

• (b)
  4 — 4 appears beside 6 in the first view, so it belongs to the ring of four faces around the 1-6 axis and touches 1 instead of facing it.
• (c)
  5 — 5 sits with 6 in the first view. Every face adjacent to 6 is also adjacent to 1, because 1 and 6 are the opposite pair.
• (d)
  3 — 3 shares the second view with 6, which puts it in the same ring of neighbours, so it cannot be the face opposite 1.

Two-view dice questions are usually settled by adjacency, not by rotating the cube in your head.

List every face that shares a view with a given face — those are its neighbours. Once a face has four distinct neighbours, the one number still unlisted must be its opposite.

Here 6 is common to both views, so its neighbours accumulate across the two pictures (5 and 4 from the first, 3 and 2 from the second) instead of stopping at three.

Key facts

• View 1 shows 6 on top with 5 and 4 on the visible sides.
• View 2 shows 6 on top with 3 and 2 on the visible sides.
• A cube face has exactly four neighbours and one opposite, so 6 neighbouring 2, 3, 4 and 5 forces 6 opposite 1.

Common traps

• Trying to rotate the two cubes into alignment when a neighbour count answers it outright
• Relying on the habit that opposite faces sum to 7, which happens to agree here but is not what the pictures prove
• Misreading the top face of the second view as a different number from the first

No directly related past PYQ was found.