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Cryptograms

Cryptograms are puzzles where some (or all) digits are missing from an arithmetic operation. Tinker with different combinations of numbers and letters to unlock the right answer. See more

Number Theory Techniques

\[ \begin{array}{ccccc} & & & & A&B\\ \times & & & & &9 \\ \hline & & & C & 2 &3 \end{array} \]

Use the divisibility rules of 9 to find the value of \(C\).

\[ \begin{array} { l l l l }
& & & & \ 9 \\ \times & & & 3 & X \\ \hline & & 3 & 3 & 3 \\ \end{array} \]

What digit \(X\) satisfies the cryptarithm above?

\[ \large{\begin{array}{ccccccc} && & & & & 5& P \\ \times && & & & &Q &R\\ \hline & & & & & 8& 0&0 \end{array}} \]

Knowing that \(800 = 2^5\times5^2\), find the value of the 2-digit integer \(\overline{QR}\).

\[ \large{\begin{array}{ccccccc} && & & & & 4& E \\ \times && & & & & 2&1 \\ \hline & & & & & F & 4 & 5 \end{array}} \]

Determine the value of \(F\).

\[ \large{\begin{array}{ccccccc} && & & & & & E \\ \times && & & & & &E \\ \hline & & & & & & 3 & E \end{array}} \]

Find the value of \(E\).

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