If $$‘+’$$ means $$‘\times’, ‘-’$$ means $$‘\div’, ‘\div’$$ means $$‘+’, ‘\times’$$ means ‘$$−$$’, then what is the value of the following expression?
$$19 + 72 - 3 \times 56 \div 65 =$$?

The instructions tell us to replace each symbol in the given expression by a different arithmetic operation:

$$‘+’ \rightarrow ‘\times’,\quad ‘-’ \rightarrow ‘\div’,\quad ‘\div’ \rightarrow ‘+’,\quad ‘\times’ \rightarrow ‘−’$$

Rewrite the given expression $$19 + 72 - 3 \times 56 \div 65$$ by carrying out those replacements symbol-by-symbol:

$$19\;+\;72\;-\;3\;\times\;56\;\div\;65$$ becomes $$19\;\times\;72\;\div\;3\;-\;56\;+\;65$$

Now evaluate the new expression using the usual BODMAS/PEMDAS order (multiplication and division first, then addition and subtraction, working from left to right within the same rank):

1. Multiply: $$19 \times 72 = 1368$$

2. Divide: $$1368 \div 3 = 456$$

3. Subtract: $$456 - 56 = 400$$

4. Add: $$400 + 65 = 465$$

Hence the required value is $$465$$.

Option A which is: 465