$A$ 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?

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 other pairs,besides $SU$,are diagonally opposite to each other?

From the positions in the original figure,$C$ and $A$ move diagonally to opposite corners and then one side each clockwise and anticlockwise respectively. $B$ and $D$ move two sides each clockwise and anticlockwise respectively. Where is $A$ now?

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?

If the third day of a month is Tuesday,which of the following would be the $4^{th}$ day before the $27^{th}$ day of that month?

$A, B, C$ and $D$ are playing cards. $A$ and $B$ are partners. $D$ faces towards North. If $A$ faces towards West,then who faces towards South?