Arithmetic Puzzles
Can we place a single digit in each \( \square \), such that the following equation is true:
\[ \square \, \times \, \square = 11 ? \]
What (possibly different) single digit should we place in \( \square \) and \( \bigcirc\) to make the following equation true:
\[ 8 \square \div \bigcirc 8 = 3 \]
Give your answer as \( ( \square, \bigcirc ) \).
This is an arithmetic puzzle, where \( 8 \square \) would represent the 2-digit number 89 if \( \square = 9 \). It does not represent the algebraic expression \( 8 \times \square \). The same logic applies for the 2-digit integer \( \bigcirc 8\).
Does there exist (possibly different) digits which we can replace the \( \square \) with, to make the following expression true:
\[ \square 2 \times 4 = \square 8 ? \]
If in each of the squares, we must fill in a distinct digit, what is the minimum possible positive value of the difference?
\[ \begin{array} { l l l }
& \square & \square \\
- & \square & \square \\
\hline \end{array} \]
What identical digit can we place in \( \square \), to make the following statement true:
\[ \Large 1 \square \times \square = \square 9 ?\]