Question Details

Directions (18-21): Read the given information carefully and answer the related questions:

Six persons A, B, C, D, E and F stand in a row in the same order from right to left. Three of them face south and three face north direction. Consecutive distance between any two persons is 8m. They all start walking either in north or south direction, covering some certain distances, then reach their final positions.

A walks 14m in a certain direction and then turns right and walks 20m to reach his final position. C walks 10m in certain direction and then turns left and walks 6m to reach his final destination. E walks 6m in a certain direction and then turns left and walks 8m to reach his final position. F walks 8m in certain direction and then turns left and walks 22m to reach his final position. D walks 16m in a certain direction and then turns right and walks 6m to reach his final position. B walks 12m north and then turns left and walks certain meter to reach his final position which is in the south of D’s final position. C’s final destination is not in south-east of F’s final destination.

E’s initial position is in which direction of B’s final position?

Options

A

North-east

B

South

C

South-west

D

None of these

E

South-east

Show Answer

Correct Answer :

Option C

South-west

South-west

Solution :

Let's analyze the initial positions of the six persons: A, B, C, D, E, and F. They stand in a row from right to left in the same order.

Thus, their order from left to right is:
F, E, D, C, B, A.

Since the consecutive distance between any two persons is 8m, let's place them along a horizontal axis (let the position of A be at the origin 0 along the x-axis, increasing to the left):
A is at x = 0m
B is at x = 8m
C is at x = 16m
D is at x = 24m
E is at x = 32m
F is at x = 40m

Now let's trace the movements of each person to find their final positions:

1. B's movement:
B starts at (8, 0). B walks 12m North, reaching (8, 12). Then, B turns left (which is West, since he was facing North) and walks a certain distance to reach his final position, which is directly South of D's final position. This means B's final x-coordinate will be the same as D's final x-coordinate.

2. D's movement:
D starts at (24, 0). D walks 16m in a certain direction (either North or South) and then turns right and walks 6m to reach his final position.
- If D walks North (to y = 16) and turns right (East), D reaches x = 24 - 6 = 18m, giving final position (18, 16).
- If D walks North (to y = 16) and turns right (West, if facing South - but wait, the turn right depends on the direction of walking. If walking North, right is East. If walking South, right is West).
Let's determine the direction of walking based on the facing directions. D either faces North or South initially and walks in that direction.
If D walks North: turns right (East) 6m → final position is (18, 16).
If D walks South: turns right (West) 6m → final position is (30, -16).

Let's find the combination where B's final position is in the South of D's final position. B starts at (8, 12) after walking 12m North, and then turns left (West), which increases his x-coordinate (since x increases to the left). Since B turns left from North, he walks West (increasing x). So B's final x-coordinate must be greater than 8.
If D's final x-coordinate is 30, B can walk West from x = 8 to x = 30 (distance of 22m), so B's final position is (30, 12). Since B's final position (30, 12) is in the South of D's final position (30, 16) (or if D walked South, D's final position is (30, -16), but then B's final position (30, 12) would be North of D, which contradicts "B's final position is in the south of D's final position"). Therefore, D's final position must be (30, 16), which means D walked 16m North and turned right (East? No, if D walks 16m North, turning right goes to the East, which is x = 24 - 6 = 18. If D walked South, turning right goes to the West, which is x = 24 + 6 = 30. But if D walked South, D's final y is -16. Then B's final position at y = 12 is North of D, which violates the condition. Let's re-verify the direction of D's walk and turn: if D faces South initially, walks 16m South, then D is at (24, -16) facing South. Turning right from South is West, so he walks 6m West to (30, -16). But B's final position is south of D's final position. If B is at (30, 12), it is North of D at (30, -16). Thus, D must have walked 16m North. If D walks 16m North, he is at (24, 16) facing North. Turning right from North is East, so he walks 6m East to (18, 16). Then B, turning left from North (West), walks to x = 18, reaching (18, 12). Since 12 is less than 16, B's final position (18, 12) is indeed South of D's final position (18, 16). This is perfectly consistent! So, B's final position is (18, 12).

Now, let's find the direction of E's initial position relative to B's final position:
- E's initial position is at x = 32m, y = 0m, which is (32, 0).
- B's final position is at x = 18m, y = 12m, which is (18, 12).

Comparing E's initial position (32, 0) to B's final position (18, 12):
- E's x-coordinate is 32, which is larger than 18 (so E is to the West of B).
- E's y-coordinate is 0, which is smaller than 12 (so E is to the South of B).

Combining these, E's initial position is in the South-west direction of B's final position.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • SSC
  • intermediate
  • 1 hour
  • english, general awareness, general intelligence and reasoning, logical reasoning, quant

  • SSC
  • intermediate
  • 1 hour
  • english, general awareness, general intelligence and reasoning, logical reasoning, quant

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...