Key Point The carbon, which is bonded with four different atoms/groups is known as chiral carbon.
The structure of the given IUPAC names are as follows:
(a) 3 -methylhexane
CH3​6​−CH2​5​−CH2​4​−CH3CH3​∣​ −CH2​2​−CH3​1​ or
C3​H7​−•C∣HCH3​∣​−C2​H5​ (It has one chiral carbon atom, marked with dot.)
(b) 2 -methylhexane
H3​C6​−CH2​5​−CH2​4​−CH2​3​−C∣HCH3​∣​2​−CH3​1​ H3​C5​−CH4CH3​∣​−CH2​3​−CH2CH3​∣​−CH3​1​ It has no chiral carbon atom.
(c) 2, 4-dimethyl pentane
H3​C5​−CH2​4​−CH2​3​−CH2CH3​∣​−CH3​1​ It has also no chiral carbon atom.
(d) 2 -methyl pentane
H3​C5​−CH2​4​−CH2​3​−2CH​CH3​​−CH3​1​ It has also no chiral carbon atom.
Thus, option (a) is the correct answer.