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GATE 2021 CE (CE2) – Question 4

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · Multiple choice

Define $p\odot q=p-q$ and $p\oplus q=pq$. Evaluate $(9\odot(6\oplus7))\odot(7\oplus(6\odot5))$.

  1. 40
  2. −26
  3. −33
  4. −40

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Correct answer: (D) −40

Explanation

Evaluate innermost brackets: $6\oplus7=42$ and $6\odot5=1$. The two outer arguments are $9-42=-33$ and $7\times1=7$. Finally $-33\odot7=-33-7=\mathbf{-40}$, **D**.