Answer : D
Statement 1 : Non-CFL is closed under reversal operation .
It's True.
Proof :
We can prove it by Contradiction.
We know that "Set of all CFL languages is closed under Reversal Operation." (Refer link below)
Let $L$ be a Non-CFL. And Let's assume Set Non-CFL of all Non-CFL languages is Not Closed under Reversal Operation (i.e. Reversal of a Non-CFL is Not Necessarily Non-CFL... It could be CFL also.). And let $L$ is such a Non-CFL that $L^R$ is CFL.
Since $L^R$ is CFL, $(L^R)^R$ has to be CFL. But $(L^R)^R = L,$ which has to be CFL, which contradicts our assumption.
Hence, Set Non-CFL of all Non-CFL languages is indeed Closed under Reversal Operation.
https://cs.stackexchange.com/questions/6992/context-free-languages-closed-under-reversal
Statement 2 : $L = \left \{ 0^n1^m0^m | (n+m) \,\,mod\,6=2 \right \}$
Hint : Language $L$ can be seen as Intersection of Two Languages. i.e. $L = L_1 \cap L_2$ where
$L_1 = \left \{ 0^n1^m0^m | n,m \geq 0 \right \}$
$L_2 = \left \{ 0^i1^j0^k | (i+j) \,\,mod\,6=2; i,j,k \geq 0 \right \}$
Now, It's easy to see that $L_1$ is CFL whereas $L_2$ is Regular. And Intersection of a CFL and a Regular is Necessarily a CFL. (Refer link below)
Hence, $L$ is CFL (Moreover it is DCFL because $L_1$ is DCFL and Intersection of DCFL and Regular is also DCFL.)
https://www.cs.ucsb.edu/~cappello/136/lectures/17cfls/slides.pdf
Statement 3 : if $L$ is context free and $R$ and $S$ are regular ,then $MAJORITY(L,R,S)=$ {$ w| \,w\,\,\, is\,\,\, in\,\,\, atleast\,\,\, two\,\,\, of\,\,\, R,L,S$ } is also context free.
This One is Pretty simple. If $w$ belongs to at least two of $R,L,S$ then It means It will definitely be in one of the following language : $R \cap L$, $R \cap S$, $L \cap S$
Hence, $Majority(L,R,S) = (R \cap L) \cup (R \cap S) \cup (L \cap S)$
And Since Intersection/Union of a CFL and a regular is CFL. And Regular set is closed under Intersection.
$Majority(L,R,S)$ will be CFL.
https://www.cs.ucsb.edu/~cappello/136/lectures/17cfls/slides.pdf
https://courses.engr.illinois.edu/cs373/fa2013/Lectures/lec08.pdf