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Q.

Intermediate species Number of Hybrid orbitals 
CarbocationA
CarbanionB
Free RadicalC
Singlet CarbeneD
Triplet NitreneE

Then, the value of  A+B+CDE3

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answer is 1.66.

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Detailed Solution

carbocations undergoes sp2 hybridization, hence 3 hybridorbitals 
Carbocations undergoes sp2  hybridization, hence 4 hybridorbitals
Free radicals sp2 hybridization, hence 3 hybridorbitals
Singlet carbenes sp2  hybridization, hence 3 hybridorbitals
Triplet Nitrenes  sp hybridization, hence 2 hybridorbitals
Hence A+B+CDE3 is 1.66

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