GATE CSE 2024 Session 1 Q33: Evaluate an expression under unusual precedence and associativity

Consider the operator precedence and associativity rules for the integer arithmetic operators given in the table below.

The value of the expression $3 + 1 + 5 * 2 / 7 + 2 - 4 - 7 - 6 / 2$ as per the above rules is __________

Try it: numerical answer: type the value

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Answer: 6 (official GATE 2024 final answer key)

Concept used: Parenthesise by precedence first, then group equal operators by associativity.

First step: Do the additions first: $(3 + 1 + 5) = 9$ and $(7 + 2) = 9$ , giving $9 * 2 / 9 - 4 - 7 - 6 / 2$ .

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Source: official GATE 2024 Session 1 CS question paper and final answer key, organised by IISc Bangalore. Question paper · Answer key