Directions : Read the following information carefully and answer the following…

Directions : Read the following information carefully and answer the following questions.

Seven persons A, B, C, D, P, R, and S are related to Q in some manner. They all are sitting around a circular table such that some of them are facing the inside and some of them are facing outside. They all have different profession viz. Banker, Writer, Singer, Doctor, Nurse, Dancer, Engineer, and Teacher but not necessarily in the same order. One person has only one profession. Not more than four persons face same direction.
The singer sits second to the right of Q. Three persons sit between A, who doesn’t sit near to Banker and the one who is Nurse. D is an Engineer. P sits opposite to Q, who is a Banker. C is a female but she is not a dancer. The teacher and the writer face inside. The one who is Brother of Q sits second to the left of Banker. Two persons sit between S, who is a doctor and brother of Q. D is the mother of Q and she sits opposite to S. D’s Daughter sits third to the left of D. A is the father of Q, who is a female. Both C and R is children of P, who is married to Q. B and R are the male members. B who faces inside sits opposite to the Dancer. The Writer sits second to the right of the Dancer. The Singer is married to the Doctor. S is the sister-in-law of Q. R does not sit immediate left of S.

How many persons sit between the Doctor and Engineer, when counted from the right of Engineer?