Read the following information carefully and answer the given questions.

A $\$$ B means A is to the north of B at a distance of either $4$m or $9$m.

A $\&$ B means A is to the west direction of B at a distance of either $3$m or $12$m.

A $\%$ B means A is to the south direction of B at a distance of either $4$m or $9$m.

A $\#$ B means A is to the east direction of B at a distance of either $3$m or $12$m.

A $\$\#$ B means A is to the northeast of B.

A $\%\#$ B means A is to the southeast direction of B.

Statement:

B$\$$A, C$\&$B, D%$\$$C, D$\$$$\&$A, D$\&$H$\&$G, B$H, A&F, (CB>AF)

What is the distance between D and G?

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.

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?

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

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

If A$\times$B means $\mathrm{A}$ is to the south of B; A $+$ B means A is to the north of B; A$\%$B means A is to the east of B; A$-$B means A is to the west of B; then in P$\%$Q$+$R$-$S, S is in which direction with respect to Q?

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

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.

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?

Yaibiren is standing $4$ metres East of Rajib, who is $1$ metre North of Achira. If Sahibah is standing $3$ metres South of Achira, then in which direction of Yaibiren, is Sahibah?