Three position of a cube are shown below. Which number will be opposite to the…

Concept

A cube has 6 faces forming 3 pairs of opposite faces. Two faces seen together in any single view are always ADJACENT, never opposite. So the rule is: collect every face that shares a corner/edge with a given face across the views; whichever remaining face never appears beside it is the one OPPOSITE to it.

Application

Read the three views (Top / Left-front / Right):

1. View 1 — Top 6, Front 4, Right 2: so 6 is adjacent to 4 and 2.

2. View 2 — Top 3, Front 1, Right 2: so 3 is adjacent to 1 and 2.

3. View 3 — Top 5, Front 6, Right 1: so 5 is adjacent to 6 and 1.

Now fix the pairs by elimination:

1. 6 sits next to 4, 2 (view 1) and next to 5, 1 (view 3). The only face never seen beside 6 is 3, so 6 is opposite 3.

2. 2 sits next to 6, 4 (view 1) and next to 3, 1 (view 2) — i.e. beside 1, 3, 4, 6. The only face never beside 2 is 5, so 2 is opposite 5.

3. The two faces left over, 1 and 4, must form the last pair, so 1 is opposite 4.

The face opposite 5 is 2.

Cross-check

The three deduced pairs are 5–2, 6–3, 1–4. Test every view: no view shows both members of any pair together — View 1 (6,4,2), View 2 (3,1,2), View 3 (5,6,1) each contain three faces from three different pairs. The pairing is consistent, confirming 5 lies opposite 2.