The representation of the voltaic cell shows that $$Zn$$ is oxidised to $$Zn^{2+}$$, whereas, $$Cu^{2+}$$ is reduced to $$Cu$$.
These two phenomenons can be written by two equations-
$$Cu^{2+}$$$$+$$$$2e^-$$$$\rightarrow$$$$Cu$$..... $$E^o$$$$=$$ $$+0.34V$$, (since $$Cu^{2+}$$ is reduced)..... $$eq(1)$$
and
$$Zn^{2+}$$$$+$$$$2e^-$$$$\rightarrow$$$$Zn$$..... $$E^o$$$$=$$ $$-0.76V$$
But the voltaic cell represents that $$Zn$$ is oxidised to $$Zn^{2+}$$, hence the equation must be written as-
$$Zn$$$$\rightarrow$$$$Zn^{2+}$$$$+$$$$2e^-$$..... $$E^o$$$$=$$ $$+0.76V$$, (since $$Zn$$ is oxidised)......$$eq(2)$$
Adding $$eq(1)$$ and $$eq(2)$$, we get,
$$Cu^{2+}$$$$+$$$$Zn$$$$+$$$$2e^-$$$$\rightarrow$$$$Cu$$$$+$$$$Zn^{2+}$$$$+$$$$2e^-$$...... $$E^o$$$$=$$$$0.34+0.76$$$$=$$$$1.10V$$
Or, $$Cu^{2+}$$$$+$$$$Zn$$$$\rightarrow$$$$Cu$$$$+$$$$Zn^{2+}$$..... $$E^o$$$$=$$ $$+1.10V$$
We also know the formula-
$$E$$ $$=$$ $$E^o$$ $$-$$ $$\dfrac{0.0591}{n}$$$$(logQ)$$
Q can be written as $$Q$$$$=$$$$\dfrac{[Zn^{2+}]}{[Cu^{2+}]}$$ and $$n$$ is the number of electrons, that is $$2$$
Putting the values of all the known quantities in the given equation we get,
$$E$$ $$=$$ $$1.10$$ $$-$$ $$\dfrac{0.0591}{2}$$$$log$$$$\dfrac{[0.2]}{[4.0]}$$
Thus, $$E$$$$=$$$$1.10-(-0.038)$$
$$E$$$$=$$$$1.138V$$, that is $$1.14V$$
Option D is the correct answer.