Directions : Read the following information carefully and answer the following…
2020
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?
- A.
One
- B.
Two
- C.
Three
- D.
Four
- E.
None of these
Show answer & explanation
Correct answer: C
Concept
In a circular seating arrangement with an even number of seats, two people sit "opposite" each other when they are diametrically across the table. For a table of 8 seats, an "opposite" pair always has the same number of seats on each of the two arcs joining them: (8 ÷ 2) − 1 = 3 persons on each side. This holds no matter which way anyone faces, because "opposite" is a fixed geometric relationship, not a direction-dependent one.
Application
Fix the two professions the question asks about. From "P sits opposite to Q, who is a Banker", Q is the Banker. From "S, who is a doctor", S is the Doctor. From "D is an Engineer", D is the Engineer.
Locate the Doctor and the Engineer relative to each other. The clue "D is the mother of Q and she sits opposite to S" places D (the Engineer) directly opposite S (the Doctor).
Apply the opposite-pair rule. With 8 seats, an opposite pair has exactly (8 ÷ 2) − 1 = 3 seats between them on each arc. So whichever direction you count, 3 persons sit between the Engineer and the Doctor.
Cross-check
The question asks for the count "from the right of the Engineer". Since both arcs between an opposite pair on an 8-seat table contain 3 persons, the count from the Engineer's right side is also 3 — the choice of side cannot change the answer. A full grid solved from the remaining clues confirms the same spacing.
Result
Three persons sit between the Doctor and the Engineer when counted from the right of the Engineer.