Study the following information carefully and answer the questions given below:
Seven persons A, E, S, O, D, B and Care standing in a straight line facing north (but not necessarily in the same order.) The distance between a person and his immediate neighbour is same for all the persons at the instant when they all are standing in a straight line. D stands third from the right end. E stands third to the right of C, who is not an immediate neighbor of S or A.D is an immediate neighbour of O and E who stands on the immediate left of S. After some time, two of them started moving from their initial positions. S moved eiglit meters towards North to reach point L. Shortest distance between O and point L is ten meters. O is in line with point Rand L. After moving a certain distance towards north B reached point Q. From point Q, B kept on moving in a circular path in clockwise direction till he reached point R. Point Ris to the south of initial position of B. Shortest distance between point Rand L is fifteen meters.
What is the shortest distance between point D and C?

Options

A. 4 meters
B. 2 meters
C. 3 meters
D. 6 meters

Answer

A

Explanation

Step 1. From the information given in the question we will first determine the initial positions of all the persons.
D stands third from the right end. D is an immediate neighbour of O and E, who stands on the immediate left of S. It means S is standing at the rightmost end and O is standing to the immediate left of D. E stands third to the right of C who is not an immediate neighbour of A.
So we have,

Step 2. Now we will determine their final positions,
S moved eight meters towards North to reach point L. Shortest distance between 0 and point L is ten meters.
By using Pythagoras theorem,
The distance between O and initial position of `S=sqrt("")(10^(2)-8^(2))=6`
So 3x = 6
x = 2,
Proceeding with the remaining information,
O is in line with point Rand L. After moving a certain distance towards north B reached point Q. From point Q B kept on moving in a circular path till he reached point R. Point Ris to the south of initial position of B. Shortest distance between point R and L is fifteen meters it means shortest distance between Rand O is five meters.
From Pythagoras theorem,
Shortest distance between initial position of B-and point `R=sqrt("") (5^(2)+4^(2))=3` meters.
So we have,