# CRE 1 - Basics | LR - Directions

**Answer the next 4 questions based on the information given below:**

Bhanu travels 6 km towards the west from his office, then travels 8 km towards the north, followed by 3 km towards the west and finally 4 km towards the north.

**CRE 1 - Basics | LR - Directions**

What is the horizontal distance (in km) travelled by him?

- (a)
9

- (b)
10

- (c)
12

- (d)
15

- (e)
None of these

Answer: Option A

**Explanation** :

The path travelled by Bhanu is as shown below.

∴ Horizontal distance = 6 + 3 = 9 km

Hence, option (a).

Workspace:

**CRE 1 - Basics | LR - Directions**

What is the vertial distance (in km) travelled by him?

- (a)
9

- (b)
10

- (c)
12

- (d)
15

- (e)
None of these

Answer: Option C

**Explanation** :

Consider the solution for the first question of this set.

∴ Vertical distance = 8 + 4 = 12 km

Hence, option (c).

Workspace:

**CRE 1 - Basics | LR - Directions**

What is the distance (in km) between his starting point and end point?

- (a)
9

- (b)
10

- (c)
12

- (d)
15

- (e)
None of these

Answer: Option D

**Explanation** :

Consider the solution for the first question of this set.

∴ Effective horizontal distance travelled = 6 + 3 = 9 km

∴ Effective vertical distance travelled = 8 + 4 = 12 km

∴ Distance between starting and end point = $\sqrt{{9}^{2}+{12}^{2}}$ = 15 kms.

Hence, option (d).

Workspace:

**CRE 1 - Basics | LR - Directions**

In which direction is end point w.r.t. starting point?

- (a)
West

- (b)
South-east

- (c)
North

- (d)
North-west

- (e)
None of these

Answer: Option D

**Explanation** :

Consider the solution for the first question of this set.

End point is towards north-west of the starting point.

Hence, option (d).

Workspace:

**CRE 1 - Basics | LR - Directions**

C is to the west of E who is to the south of D. A is to the north of B who is to the west of D. In which direction is E with respect to A?

- (a)
West

- (b)
South-east

- (c)
North

- (d)
North-west

- (e)
None of these

Answer: Option B

**Explanation** :

The position of the points is as shown below:

Thus, E is to the south-east of A.

Hence, option (b).

Workspace:

**Answer the next 3 questions based on the information given below:**

A is 12 kms to the west of B. C is 8 kms to the north of A. D is 6 kms to the west of C. E is 5 kms to the south of B.

**CRE 1 - Basics | LR - Directions**

Where is E w.r.t. D?

- (a)
North South-west

- (b)
South-east

- (c)
North-west

- (d)
North-east

Answer: Option B

**Explanation** :

The position of the various people is as shown below:

Hence, E is to the South-east of D.

Hence, option (b).

Workspace:

**CRE 1 - Basics | LR - Directions**

How far (in km) is D away from A?

- (a)
19

- (b)
11

- (c)
14

- (d)
12

- (e)
10

Answer: Option E

**Explanation** :

Consider the solution to the first question of this set.

From the figure: DA^{2} = 6^{2} + 8^{2 }= 36 + 64 = 100

∴ DA = 10 km

Hence, option (e).

Workspace:

**CRE 1 - Basics | LR - Directions**

How far (in km) is D away from E?

- (a)
√450

- (b)
21

- (c)
√493

- (d)
22

- (e)
24

Answer: Option C

**Explanation** :

Consider the solution to the first question of this set.

From the figure: DE^{2} = 18^{2} + 13^{2 }= 324 + 169 = 493

∴ DA = √493 km

Hence, option (c).

Workspace:

**Answer the next 2 questions based on the information given below:**

A person walks towards the north, then moves to the right, then moves towards the north again. Now, the person moves towards the west, then north and finally takes a right turn again. What is the direction of the person w.r.t. the original position?

**CRE 1 - Basics | LR - Directions**

In which direction is the person facing now?

- (a)
North

- (b)
South

- (c)
East

- (d)
West

Answer: Option C

**Explanation** :

The path of the person can be as shown below:

∴ The person is finally facing towards east.

Hence, option (c).

Workspace:

**CRE 1 - Basics | LR - Directions**

Where is the person now w.r.t his starting position. Assume that the person travels an equal distance at each step

- (a)
North

- (b)
North-west

- (c)
North-east

- (d)
None of these

Answer: Option A

**Explanation** :

Consider the solution to first question of this set.

Distance travelled in east direction is same as distance travelled in west direction.

∴ Effective horizontal distance travelled is 0.

∴ The person is exactly north of the starting point.

Hence, option (a).

Workspace:

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