$A$ walks $10 \, m$ in front and $10 \, m$ to the right. Then,every time turning to his left,he walks $5, 15, \text{ and } 15 \, m$ respectively. How far is he now from his starting point? (in $m$)

Six flats on a floor in two rows facing North and South are allotted to $P, Q, R, S, T$ and $U$.
$(i)$ $Q$ gets a North-facing flat and is not next to $S$.
(ii) $S$ and $U$ get diagonally opposite flats.
(iii) $R$,next to $U$,gets a South-facing flat and $T$ gets a North-facing flat.
Which of the following combinations get South-facing flats? To arrive at the answer to the above question,which of the following statements can be dispensed with?

$A$ clock gaining $2 \, \text{minutes}$ every hour was synchronized at midnight with a clock losing $1 \, \text{minute}$ every hour. How many minutes behind will the second clock be at $11:00 \, \text{AM}$ the following morning compared to the clock gaining $2 \, \text{minutes}$ every hour?

Nitin correctly remembers that Nidhi's birthday is after Tuesday but before Friday. Derek correctly remembers that Nidhi's birthday is after Wednesday but before Saturday. On which of the following days does Nidhi's birthday definitely fall?

Point $B$ is $12 \,meters$ south of point $A.$ Point $C$ is $24 \,meters$ east of point $B.$ Point $D$ is $8 \,meters$ south of point $C.$ Point $D$ is $12 \,meters$ east of point $E$ and point $F$ is $8 \,meters$ north of point $E.$ If a man has to travel to point $E$ from point $A$ (through these points by the shortest distance),which of the following points will he pass through first?

$A$ is $40 \, m$ South-west of $B.$ $C$ is $40 \, m$ South-east of $B.$ Then,$C$ is in which direction of $A$?