When the digit 5 is on the bottom then which number will be on its upper surface ?
A dice has numbers 1, 2, 3, 4, 5 and 6 on its face. Four positions of the dice are given below. The number on the face opposite to the face with number 2 is
Six cubes with their upper faces erased are as shown.
The sum of the numbers on the opposite faces is 7.
If the dice (1), (2) and (3) have even numbers on their bottom faces then what would be the sum of the numbers on their top faces?
Since the sum of digits on opposite faces is 7, faces with odd digits would have even digits opposite them. Hence, the digits at the top of all these dice are odd. Let's deduce them. To find the odd number at the top, we should prove that two out of the three odd numbers 1, 3 and 5 appear on the sides. Then the third will automatically be on the top.
- Dice 1: The number opposite 6 is 1, and the number 3 is already visible, so the number at the top is 5.
- Dice 2: The number opposite 4 is 3, so the number at its top is 1.
- Dice 3: The number opposite 6 is 1, the number opposite 4 is 3, so the number at the top is 5.
The sum is: 5 + 1 + 5 = 11.
Two positions of a cuboidal brick are shown below. The brick contains all numbers up to 6.
When six is at the bottom, what number will at the top?
Which digit will appear on the face opposite to the face with number 4 ?
This Blog Post/Article "Cubes and Dice Quiz Set 03" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-08-12.