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The correct IUPAC name of the structure is:
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A) 3-isopropyl-5,5-dimethyl heptane
B) 5-Ethyl-3,3,6-trimethyl heptane
C) 3,3-Dimethyl-5-isopropyl heptane
D) 3-Ethyl-2,5,5-trimethyl heptane

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Answer
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Hint:
To write the name we have to follow the IUPAC nomenclature. First of all we need to select the straight chain of longest carbon. While writing the names, side substituents are written first and then the name.

Complete step by step solution:
First of all we need to select a parent chain that contains the maximum number of carbons. The chain must be a straight chain and no branching should be there. In whatsoever manner we select, in the above question we will get a straight chain of maximum 7 carbon atoms and has all single bonds. The name of the parent chain will be heptane.
Now we will select that carbon chain which has maximum number of side substituent and that is:
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The numbering is done according to that the side substituents get maximum number. If we will start numbering from right then we will get the number 2234 and if we start numbering from left then we will get the number 2355. Hence we will start with the left.
There are 3 methyl groups as substituent and 1 ethyl group. Naming of substituent is done alphabetically so ethyl will be written first.
Ethyl group is on carbon number 3, methyl groups are in carbon number 2, 5 and 5 and there are trees so we will use tri as a prefix. Hence the name will be:
3-Ethyl-2,5,5-trimethyl heptanes

Thus, the correct option is D.

Note:
The IUPAC stands for International Union for Pure and Applied Chemistry. The IUPAC has set some norms for naming the organic compounds so that the standard names can be used worldwide and they are universally accepted.