Hint: If a species releases an electron, it is called oxidation and if a species accepts an electron, it is called reduction.
Step 1: Option A
$${CrO_4}^{2-}\rightarrow {Cr_2{O_7}^{2-}}$$
Here oxidation number of $$Cr$$ in $${CrO_4}^{2-}$$
is-
$$x+{(4\times{-2})}=-2$$, where $$x$$ is the oxidation
number of $$Cr$$.
$$x=+6$$.
Oxidation number of $$Cr$$ in $${Cr_2O_7}^{2-}$$ is-
$$2x-14=-2$$
$$x=+6$$
So, there is no change in oxidation number. It does
not undergo an oxidation or reduction reaction.
Step 2: Option B
$$Cr\rightarrow CrCl_3$$
Oxidation number of $$Cr$$ is $$0$$ and oxidation
number of $$Cr$$ in $$CrCl_3$$ is
$$x-3=0$$, where $$x$$ is the oxidation number of
$$Cr$$.
$$x=+3$$
Here $$Cr$$ releases three electrons to get converted to $$Cr^{+3}$$
and undergoes oxidation.
Step 3: Option C
$$Na\rightarrow Na^+$$
Here $$Na$$ converted to $$Na^+$$ by releasing an
electron and undergoes oxidation.
Step 4: Option C
$${S_2O_6}^{2-}\rightarrow {S_4O_6}^{2-}$$
Oxidation number of $$S$$ in $${S_2O_6}^{2-}$$ is-
$$2y-12=-2$$ , where $$y$$ is the oxidation number
of $$S$$.
$$y=+5$$
Oxidation number of $${S_4O_6}^{2-}$$ is-
$$4y-12=-2$$
$$y=2.5$$
So, here oxidation number decreases that means $$S$$
accepts electrons and undergoes reduction reaction.
Final Step: Correct option is $$(A)$$.