A) let find a odd length string
P->QR
P->cR
P->cddQ
P->cddc
OR
P->RcRR
P->ddQcddQddQ
P->ddccddcddc
no odd string found so it’s even length string True
B) for d’s one production
R->ddQ
P->There is no way to produce single d’s, it will be always even
True
C)
P→ QR
P→ RcRR
P→ ddQcRR
P→ ddRcRcRR
P→ddddQcRcRR
there are 4 consecutive d's
False
D)
P→ QR
P→ cR
P→ cddQ
P→ cddRcR
P→ cddddQcR
P→ cddddccR
P→ cddddccddQ
P→ cddddccddc
no way to produce 3 consecutive c’s
True
E)
P-> QR
P-> cR
P->cddQ
P->cddc
and as per D option it's proved that d<=c
True