Vijeta Competitions Editorial Board Solutions for Chapter: Direction Test, Exercise 3: EXERCISE

$A$ started from a place. After walking for a kilometer, he turns to the left. Then, walking for a half $\mathrm{km}$, he again turns to the left. Now, he is going eastward direction. In which direction did he originally start?

Ramya walks towards the northwest for $5 \mathrm{km}$. Then she walks $3 \mathrm{km}$ towards the east and is just above where she started. Then, she moved $7 \mathrm{km}$ North. How far is she from her original position?

Ramesh walks $30$ metres towards the south. Then, turning to his right, he walks $30$ metres. Then turning to his left, he walks $20$ metres. Again turning to his left, he walks $30$ metres. How far is he from his starting position?

A cat was chasing a mouse. It leapt left when the mouse ran straight. The cat thinking ahead, moved straight, then right of the comer table. The mouse went under the chair left of the table and ran straight finally it turned right and went into its hole. All the while from near the table, the cat followed the mouse. In which direction is the mouse hole?

$A$ walks $10$ metres in front and $10$ metres to the right. Then, every time turning to his left, he walks $5, 15$ and $15$ metres, respectively. How far is he now from his starting point?

A person walks facing north $10 \mathrm{m}$, and then he turns left and walks $5 \mathrm{m}$. He again turns left and walks $10 \mathrm{m}$. How far is he from his original position and towards which direction?

One day Ravi left home and cycled $10 \mathrm{km}$ southwards, turned right and cycled $5 \mathrm{km}$ and turned right back and cycled $10 \mathrm{km}$ and turned left and cycled $10 \mathrm{km}$. How many kilometers straight will he have to cycle to reach his home?

Anita started from home and walked some distance towards North-East and then turned $90°$ left. After some time, she again turned $90°$ left. In what direction is she walking now?