Dice Reasoning MCQ Questions & Answers [PDF Download]
A standard dice is thrown three times and shows faces 2, 4, and 6 on top. These faces were never on the bottom during these throws. In a standard dice, which face is opposite to face 1?
Two dice are placed edge-to-edge such that their touching faces show the same number. If one dice shows 3 on top and 2 on the front face, and the other shows 5 on top, what number could be on the touching face between them?
A dice net is shown below. When folded, which number will be opposite to 4?
| 2 | ||
| 6 | 4 | 1 |
| 5 | ||
| 3 |
A dice shows different faces in three positions. Based on these observations, determine what face is opposite to A:
- Position 1: A on top, B visible on front
- Position 2: A on top, C visible on right
- Position 3: B on top, A visible on front
A special dice has symbols ♠, ♥, ♦, ♣, ★, ● on its faces. From the given information, determine what symbol is opposite to ♠:
- ♠ is adjacent to ♥, ♦, and ♣
- ★ is adjacent to ♥ and ♦
- ● is adjacent to ♣ and ★
Four dice are arranged in a 2×2 grid. Each dice shows different numbers on top: 2, 4, 6, 8. If these are special 8-sided dice where opposite faces sum to 9, and the sum of all bottom faces is 18, what number arrangement satisfies all constraints?
A dice with faces labeled A, B, C, D, E, F is placed showing A on top. Around the sides, reading clockwise, you see B, C, D, E. If the dice is flipped 180° over its front-back axis, what letter will be on top?
Three identical dice are stacked vertically. The bottom dice shows 3 on top, the middle dice shows 5 on top, and the top dice shows 1 on top. If all dice follow standard rules (opposite faces sum to 7), what is the sum of all hidden faces?
Two standard dice are rolled. The first shows an even number on top, the second shows an odd number on top. If the sum of their bottom faces is 9, how many different combinations of top faces are possible?
A dice with faces A, B, C, D, E, F shows A on top and B on the front. After a 90° clockwise rotation around the vertical axis (looking from above), which face is now at the front?
Three dice are arranged in a row showing prime numbers 2, 3, 5 on their top faces. The middle dice is rotated 180° around its vertical axis. If the sum of the new top faces is 12, what was the original sum?
Four dice are arranged in a square pattern. Each shows different numbers on top: 1, 3, 4, 6. The dice are positioned so that adjacent dice share edges. What is the sum of all bottom faces?
A modified dice has faces numbered 0, 1, 2, 3, 4, 5 where opposite faces sum to 5. Three such dice show 0, 2, 4 on their top faces. What is the product of all their bottom faces?
Six dice are arranged in a 2×3 rectangular grid. The sum of all top faces is 21. If no two adjacent dice have the same number on top, what is the sum of all bottom faces?
A dice lands in a corner showing three prime numbers on the visible faces with sum 10. The three hidden faces have a product of 24. What number is opposite to 5?
Two dice share a common edge such that their adjacent faces along this edge show the same number. If one dice shows 6 on top and 4 on the shared edge, what number does the other dice show on top?
A large cube is formed using 27 small dice (3×3×3). Each small dice follows standard rules. If the sum of all visible faces on the outer surface is 378, what is the sum of all completely hidden internal faces?
A dice has faces W, X, Y, Z, P, Q with these relationships: W↔Q, Y↔Z, and X is adjacent to all others except its opposite. If W is on top and X on front, what letter is on the right face?
In a probability experiment, three standard dice are rolled. What is the probability that the sum of bottom faces equals exactly half the sum of top faces? Express as a simplified fraction a/b and find a+b.
A creative dice has mathematical expressions on faces that evaluate to 1-6:
- 2⁰ = 1, √4 = 2, 3¹ = 3, 2² = 4, 10÷2 = 5, 3! = 6
If '10÷2' is on top and you see '3¹' and '2²' on adjacent sides, what expression is on the bottom?