and are operators such that p q=p-q and p q=pq. Then (9(67))(7(65))=

GATE 2021 PH – Question 4

$\oplus$ and $\odot$ are operators such that $p\odot q=p-q$ and $p\oplus q=pq$. Then $(9\odot(6\oplus7))\odot(7\oplus(6\odot5))=$

Show answer and explanation

Correct answer: (D) -40

The first bracket is $9-6(7)=-33$ and the second is $7(6-5)=7$. Their difference is −40.

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