A dice has numbers 2, 3, 5, 6, 7 and 8 on its sides. Two different positions of the same dice are shown below. Select the number that will be on the face opposite to the one having 8.

The correct answer is 7.

Step-by-step Explanation:

Step 1: Analyze the given positions of the dice
We are given two different positions of the same dice containing six numbers on its faces: 2, 3, 5, 6, 7, and 8.


By observing the two positions in the image, we list the visible faces on each:

• Position 1: Displays faces with numbers 5 (top), 3 (front-left), and 7 (front-right).
• Position 2: Displays faces with numbers 6 (top), 2 (front-left), and 7 (front-right).

Step 2: Identify adjacent faces
The number 7 appears in both positions of the dice.

• From Position 1, the faces adjacent to 7 are 3 and 5.
• From Position 2, the faces adjacent to 7 are 2 and 6.

Since adjacent faces on a dice can never be opposite to each other, the face with number 7 cannot be opposite to 2, 3, 5, or 6.

Step 3: Determine the opposite face
The total six numbers on the dice are {2, 3, 5, 6, 7, 8}.

Since 7 is adjacent to four of these numbers (2, 3, 5, and 6), the only remaining number available to be on the face opposite to 7 is 8.

Therefore, the face opposite to 8 is 7.