Cengage Experts Team (CET) Solutions for Exercise 1: Practice Exercise

The six sides of a solid cube are painted in different colours. The top of the cube is painted black and the bottom is painted white. The rest of the four sides are painted blue, red, golden and silver, respectively in the anticlockwise direction. The cube is now turned in such a manner that the golden side is at the top. Which of the following three sides are adjacent to the white side? 
 

Three different positions of the given dice are shown below. Find the number on the side opposite to the side showing $3$?

The unbiased dice is thrown twice as shown in the given below. Which number is on the side opposite to the side showing $6$?

An unbiased dice is thrown $4$ times as shown in the figure given below. Which number is on the side opposite to side showing $2$?

Three different positions of the same dice are shown below. Find the number on the side opposite to the side $6$.

Two-position, of a dice is shown below. Which side might be at the bottom when the dice is in the position as shown in fig (2)?

If it is known that the total number of dots on the opposite sides of the die is always $7$, find the correct dice from among the given dice?

Four usual dice are thrown on the ground. The total of the numbers appearing on the top sides of these four dice is $13$ as the top sides showed $4, 3, 1 \mathrm{and} 5,$ respectively. What is the total of the numbers appearing on the sides touching the ground (In a usual die, the sum of the opposite sides is $7$)?