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GATE Civil 2021 Set 2 | GA Question: 4

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$\oplus$ and $\odot$ are two operators on numbers $p$ and $q$ such that $p \odot q = p-q,$ and $p \oplus q = p\times q$

Then, $\left ( 9\odot \left ( 6\oplus 7 \right ) \right )\odot \left ( 7\oplus \left ( 6 \odot 5 \right ) \right )=$

  1. $40$
  2. $-26$
  3. $-33$
  4. $-40$
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Migrated from GO Civil 2 years ago by Arjun

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Given that, $p \odot q = p-q,$ and $p \oplus q = p\times q$

Then, $\left ( 9\odot \left ( 6\oplus 7 \right ) \right )\odot \left ( 7\oplus \left ( 6 \odot 5 \right ) \right )= (9 \odot 42) \odot (7 \oplus 1) = -33 \odot 7 = -33-7  = -40.$

So, the correct answer is  $(D).$

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