A man walks $4$ km. to East then he turns left walks $4$ km. and turns left and walk $4$ km. In which direction is he facing now?

X walks $3$ km to the south then moves right and walks $5$ km. Again he moves right and walks $7$ km. Finally, in which direction X was moving?

(A) North

(B) West

(C) South

(D) East

Direction: Study the following question carefully and choose the correct option given below.
Having heard a sound, a policeman moves $4 \mathrm{km}$ in the south direction from its post towards A. At that point, he hears one more sound and moves $4 \mathrm{km}$ towards his left to reach point B. At B, he discovered that sound was coming from the left of B. He moves $4 \mathrm{km}$ left of B to reach the place sound was coming from. In which direction should he move to reach his post finally:
(A) West
(B) East
(C) North
(D) South

A shopper in a mart loads his trolley and walks $30 m$ through an alley which is going South, then he turns to his left and walks $10 m$, then he turns North and walks another $10 m$, then he turns West and walks $45 m$ and then he turns North and walks $20 m$.

Where is he now with reference to his starting position?

A girl was riding a bicycle towards the north. Then she turned left and from left she went ahead $1$ km. Then she found herself at $2$ km, from the starting point. At the beginning towards the north, how much distance she covered:

(A) $\sqrt{3}$ km

(B) $\sqrt{2}$ km.

(C) $\sqrt{1}$ km.

(D) $\sqrt{5}$ km.

Shivani started running from her office. She first ran for $16 \mathrm{kms}$ towards the north, then she turned towards the east and ran $\sqrt{68} \mathrm{kms}$ in that direction. How far and in which direction is Shivani from her office?

There are three paths from $A$ to $B$ each consists of one or more semi-circles of unknown radii. The path $AXB, AYB, AZB$ are called I, II and III respectively. Which of the following is true?

A man walking towards the north covers distance of $15.6$ km, then moves $7$ km. to left. Again he moves left covering $31$ km, again he moves left and then stops after covering $7$ km. Now, how far is he from his house?

(A) $60.5$ km. 

(B)$46.5$ km.

(C) $8.5$ km.

(D) $15.5$ km.

Sunil and Manohar are playing carom. If Sunil is facing the North–East direction, then which direction is his opponent Manohar facing?

Read the given information carefully and answer the questions given below:

Two siblings start from home to go to the school. The brother goes $2 \mathrm{km}$ North then turns right and goes $1 \mathrm{km}$ and reaches his school. The sister goes $3 \mathrm{km}$ West and $5 \mathrm{km}$ South, then turns left and goes $4 \mathrm{km}$ and reaches her school. Where is the sister's school with respect to the brother's school?