Logic

Cryptograms

Algebraic Techniques - Cryptograms

         

13+7100 \begin{array}{ccccc} & & & & 1&3 \\ + & & & & \bigtriangledown &7\\ \hline & & & 1 & 0 &0 \end{array}

Find the value of \bigtriangledown satisfying the cryptogram above.

2+178 \begin{array}{ccccc} & & & & \spadesuit&2 \\ & & & & \spadesuit&\spadesuit\\ + & & & & 1 &\spadesuit\\ \hline & & & & 7 &8 \end{array}

Find the value that represents the symbol \spadesuit.

9PPQQ6 \begin{array}{ccccc} & & & & 9 &P \\ - & & & & P & Q \\ \hline & & & & Q & 6 \end{array}

Find the value of 2-digit integer PQ \overline{PQ} .

AB+CDEF \begin{array}{ccccc} & & & & \color{#D61F06} A & B \\ + & & & & \color{#D61F06} C & D \\ \hline & & & & \color{#D61F06} E & F \end{array}

The cryptogram above shows the sum of two 2-digit integers producing another 2-digit integer. In the leftmost column highlighted in red, which of the following cannot be true?

9518 \begin{array}{ccccc} & & & & 9 &5 \\ - & & & & 1 &\blacktriangle \\ \hline & & & & \blacktriangle & 8 \end{array}

Find the value that represents the symbol \blacktriangle.

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