A certain number of persons are sitting in a line. All are facing to North. They like different colour. Q sits `2^(nd)` to the right of R, who likes red colour. Four persons are sitting between the persons who like White and Black colours. P sits 4th from an extreme end. Seven persons are sitting between P and the person who like Black colour. There are as many persons to the right of the person who likes Pink colour as left of R. Q sits immediate left of S, who likes white colour. T sits immediate left of Q and is 3rd to the left of extreme end.
How many persons are sitting in a line?

Options

A. 16
B. 17
C. 18
D. 19

Answer

B

Explanation

From the given statements, P sits `4^(th)` from an Textreme end. Seven persons are sitting between P and the person who like Black color. Four persons are sitting between the persons who like White and Black colors. Here, we get four possibilities i.e. Case 1, Case 2, Case 3 and Case 4.

From the given statements, Q sits immediate left of S, who likes White color, Q sits 2nd to the right of R, who likes red color, Here, Case 1 is ruled out.

From the given statements, T sits immediate left of Q and is 3rd to the left of extreme end. Here, Case 3 and Case 4 are ruled out. There are as many persons are right of the person who like Pink color as left of R.
So, the final arrangement will be: