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Adjoint of a Matrix

54Z leaves re...

Question

$54 Z$ leaves remainder $2$ when divided by $5$ , and leaves remainder $1$ when divided by $3$ , what is the value of $Z$ ?

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Solution

Since on dividing by $5$ remainder is $2$
then, Z can be $2, 7$
Now, on dividing by $3$ the remainder is $1$
then, Z can be $4, 7$
Therefore Answer is $Z \to 7$

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