R. S. Aggarwal Solutions for Exercise 5: Exercise

Two positions of a block are shown below:

When six is at the bottom, what number will be at the top?

Each of the six faces of a cube is numbered by one of the six digits from $1$ to $6.$ This cube is shown in its four different positions in the figures (i),(ii), (iii) and (iv).

Consider the following statements:

I. Figures (ii) and (iii) are sufficient to know as to which face is opposite to the face numbered $6.$

II. Figures (ii) and (iii) are sufficient to know as to which face is opposite to the face numbered $4.$

III. Figures (i) and (iv) are sufficient to know as to which face is opposite to the face numbered $3.$

Which of the statements given above are correct?

The question are based on a dice numbered $1$ to $6$ in different ways as indicated:

If $1$ is adjacent to $2, 4$ and $6$, then which of the following statements is necessarily true?

The question are based on a dice numbered $1$ to $6$ in different ways as indicated:

If $1$ is opposite to $5$ and $2$ is opposite to $3$, then

The question are based on a dice numbered $1$ to $6$ in different ways as indicated:

If $1$ is adjacent to $2, 3$ and $5$, then which of the following statements is necessarily true?

The question are based on a dice numbered $1$ to $6$ in different ways as indicated:

If $2$ is opposite to $3$ and adjacent to $4$ and $6$, then which of the following statements is necessarily true?

The lateral sides of a block in the shape of a six-sided prism is painted in Violet, Blue, Green, Yellow, Orange and Red. Two of its positions are shown below:

When the block is laid as in the figure given below, then what are the colours adjacent to the Red side?

A cylinder is painted in $6$ colours - Green, Blue, Yellow, Violet, Red and Orange. Three positions are shown below:

What is the colour in the empty space?