Logic

Cryptograms

Cryptograms: Level 1 Challenges

         

ABC×8ACCC\Large \begin{array} {c c c } & \color{#3D99F6}A & \color{#D61F06}B & \color{#EC7300}C \\ \times& & & 8 \\ \hline \color{#3D99F6}A & \color{#EC7300}C & \color{#EC7300}C & \color{#EC7300}C \\ \end{array}

In the cryptogram above, AA, BB, and CC are distinct digits. Find the value of A+B+C+8.A+B+C+8.

If A,B,C, A, B, C, and DD are distinct digits, find the maximum possible value of the following sum:

AB+CD \begin{array} {ccc} & A & B \\ + & C & D \\ \hline \end{array}

114X9×1X821 123456789\large{\begin{array}{lllllllll}&&&&&&&1&1&4&X&9\\\times&&&&&&&1&X&8&2&1\\\hline &\ &&1&2&3&4&5&6&7&8&9 \\\hline\end{array}}

Above shows an incomplete long multiplication for which X represents a single digit integer. What is the value of X?

Find

XYZXYZ+XYZZZZ \begin{array} { l l l } & & & X & Y & Z \\ & & & X & Y & Z \\ &+ & & X & Y & Z \\ \hline & & & Z & Z & Z \\ \end{array}

If X,Y,X, Y, and ZZ are distinct digits, then what is the value of X×Y×Z?X \times Y \times Z ?

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