What is the distance between point A and G ........

Logical Reasoning(IBPS CL) Direction Sense

Directions: Study the following information to answer the given Questions: In the following questions, the symbols #, %, &, @ are used with the following meaning illustrated.

P @ Q → Point P is in east of point Q.

P * Q → Point P is in west of Point Q.

P # Q → Point P is in south of Point Q.

P & Q → Point P is in north of Point Q.

P @20 → means point P is 20 km in the east of point Q.

Two persons V and U started from point A and point G respectively and finally meet at point W. Point G is exactly in the east of point A.

V follows: A *16 B #10 C @8 D #14 E *23 F &16 W

U follows: G #4 H @9 I &6 J @5 K #9 L @10 W

What is the distance between point A and G?

This questions was previously asked in

IBPS CLERK MAINS (19 JAN 2020)

View All IBPSCl Previous Year Papers

55 km

54 km

60 km

44 km

None of the above

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Explanation:

Let’s break this down step by step, since these movement puzzles slip up a lot of people:

- First, the movements for person V from point A:

- A *16 B: V goes 16 km west to B

- B #10 C: Then 10 km south to C

- C @8 D: 8 km east to D

- D #14 E: 14 km south to E

- E *23 F: 23 km west to F

- F &16 W: 16 km north to W

- Person U from G:

- G #4 H: 4 km south to H

- H @9 I: 9 km east to I

- I &6 J: 6 km north to J

- J @5 K: 5 km east to K

- K #9 L: 9 km south to L

- L @10 W: 10 km east to W

- Key info: A and G are directly east-west of each other.

Let’s crunch numbers for net EAST-WEST distance between A and G:

1. V’s total horizontal (West-East):

- West: 16 + 23 = 39 km

- East: 8 km

- Net WEST: 39 - 8 = 31 km to left (west) of A from A to F.

2. U’s total horizontal (East):

- East: 9 + 5 + 10 = 24 km

- West: 0 km

- So from G, U ends up 24 km east at W.

But, total horizontal displacement between A and G = gap between where V comes from and U comes from, since both end up at W.

Both end up at W, meaning A’s displacement *to the west* (31 km) and G’s displacement *to the east* (24 km) together make up the total distance between A and G:

- Distance AG = 31 km (west from A) + 24 km (east from G) = 55 km.

Here’s what this really means: The correct answer is 55 km—all you do is add up the absolute net horizontal displacements for both paths.

- Option 1 is 55 km: This is correct.

- The other options don’t add up when you run the numbers.