$A$ man leaves for his office from his house. He walks towards east. After moving a distance of $20 \, m$,he turns towards south and walks $10 \, m$. Then he walks $35 \, m$ towards west and further $5 \, m$ towards north. He then turns towards east and walks $15 \, m$. What is the straight distance in metres between his initial and final positions?

Two ladies and two men are playing cards and are seated at north,east,south and west of a table. No lady is facing east. The persons sitting opposite to each other are not of the same sex. One man is facing south. Which directions are the ladies facing?

Among six friends $L, M, N, P, Q$ and $S,$ each having a different height,$N$ is taller than $Q$ and $P$ but shorter than $M.$ $P$ is taller than only $Q$ while $S$ is shorter only than $L.$ Which of the following pairs represents the tallest and the shortest among the six friends?

Rupa and Saroj want to attend a seminar together between $9 \, am$ and $5 \, pm$ on Friday. Saroj cannot leave till after her lunch break which begins at $1:30 \, pm$. Rupa is free after her meeting which begins at noon. For how many hours can the two of them attend the seminar?

Point $D$ is $14 \,m$ towards the West of point $A.$ Point $B$ is $4 \,m$ towards the South of point $D.$ Point $F$ is $9 \,m$ towards the South of point $D.$ Point $E$ is $7 \,m$ towards the East of point $B.$ Point $C$ is $4 \,m$ towards the North of point $E.$ Point $G$ is $4 \,m$ towards the South of point $A.$ $A$ directional post is erected on a crossing. In an accident,it was turned in such a way that the arrow which was first showing East is now showing South. $A$ passerby went in a wrong direction thinking it is West. In which direction is he actually travelling now?

Sachin and Vinod want to visit the museum after their exams. Sachin's exams finish on $9^{th}$ April and he is leaving for a holiday on $12^{th}$ April. Vinod's exams will be over by $10^{th}$ April,after which he is free. On which of the following dates can the two definitely meet?