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Five boys A, B, C, D, E are sitting in a park in a circle. A is facing South-West, D is facing South-East, B and E are right opposite A and D respectively, and C is equidistant between D and B. Which direction is C facing?
  • a)
    West
  • b)
    South
  • c)
    North
  • d)
    East
Correct answer is option 'D'. Can you explain this answer?
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Five boys A, B, C, D, E are sitting in a park in a circle. A is facin...
Solution:
To determine the direction in which C is facing, we need to follow the given information step by step.

Step 1: Draw a rough diagram
We can start by drawing a rough diagram of the situation described in the problem. Since the boys are sitting in a circle, we can draw a circle and label the positions of the boys as shown below:

A -- E
| |
B -- C
| |
D --

Step 2: Determine the directions
We are given that A is facing South-West and D is facing South-East. We can use this information to determine the directions of the other boys as follows:

- A is facing South-West, which means that he is facing towards the direction halfway between South and West.
- D is facing South-East, which means that he is facing towards the direction halfway between South and East.
- B is right opposite A, which means that he is facing towards the direction opposite to South-West, i.e. North-East.
- E is right opposite D, which means that he is facing towards the direction opposite to South-East, i.e. North-West.

Step 3: Determine the position of C
We are given that C is equidistant between D and B. This means that C is located halfway between D and B on the circle. Since B is facing North-East and D is facing South-East, we can determine the direction in which C is facing as follows:

- We draw a line from D to B, which represents the shortest distance between them.
- We mark the midpoint of this line, which represents the position of C.
- We draw a line from C to the center of the circle, which represents the direction in which C is facing.

The resulting diagram looks like this:

A -- E
| |
B -- C
| |
D --

Step 4: Determine the direction of C
By looking at the diagram, we can see that the line from C to the center of the circle is pointing towards the direction halfway between East and North, which is East-North-East. Therefore, the direction in which C is facing is East-North-East.

Answer:
The correct answer is option (d) East.
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Five boys A, B, C, D, E are sitting in a park in a circle. A is facing South-West, D is facing South-East, B and E are right opposite A and D respectively, and C is equidistant between D and B. Which direction is C facing?a)Westb)Southc)Northd)EastCorrect answer is option 'D'. Can you explain this answer?
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