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GATE 2021 BM – Question 4

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

Define operators by p⊙q=p−q and p⊕q=p×q. Evaluate (9⊙(6⊕7))⊙(7⊕(6⊙5)).

  1. 40
  2. −26
  3. −33
  4. −40

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Correct answer: (D) −40

Explanation

First 6⊕7=42, so 9⊙42=−33. Also 6⊙5=1 and 7⊕1=7. Finally −33⊙7=−33−7=−40. Parentheses fix the evaluation order and prevent ordinary operator assumptions. Choose D.

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