Two positions of the same dice are shown . Select the number that will be on the face opposite to the one showing the number 6?

Correct — A.
Rule: two faces common to both views → the two leftover faces are opposite.

View 1: 3 on top, 1 on the left face, 5 on the right face.
View 2: 6 on top, 3 on the left face, 5 on the right face.

3 and 5 appear in both views, so they share an edge.
Just two faces touch both 3 and 5, one at each end of that edge, and those two are opposite each other.

The leftover face of each view is one of that pair: 1 in view 1, 6 in view 2.
So 1 is opposite 6 → option (a).

Why the others are wrong

• (b)
  4 — 4 never shows in either view, which makes it look like the hidden opposite. But the shared 3 and 5 already pair 1 with 6, so 4 must sit opposite 3 or 5.
• (c)
  3 — 3 sits beside 6 in view 2, on the left face under 6. Faces seen in the same view share an edge, so 3 cannot be opposite 6.
• (d)
  5 — 5 is also beside 6 in view 2, on the right face. Any face visible next to 6 touches it and cannot be the face opposite 6.

A die has six faces in three opposite pairs. Two faces seen in the same view share an edge, so they are never opposite.

When two views share two faces, those faces meet along one edge. Just two other faces touch both of them, one at each end of that edge, and that pair is opposite.

Each view shows one of the pair as its third face, so the two leftover faces are opposite each other.

Key facts

• Faces seen in the same view are adjacent, never opposite.
• If two views share two faces, the leftover face of one view is opposite the leftover face of the other.
• Here 3 and 5 are shared, so 1 and 6 are opposite.

Common traps

• Picking 4 because it never appears, as if an unseen face must be the opposite one
• Trusting the real-die habit that opposite faces add to 7 instead of reading the two views

No directly related past PYQ was found.