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?

From the original position given in the above figure,$A$ and $B$ move one arm length clockwise and then cross over to the corner diagonally opposite. $C$ and $D$ move one arm length anticlockwise and cross over to the corner diagonally opposite. The original configuration $ADBC$ has now changed to:

$A$ rat runs $20$ towards East and turns to right,runs $10$ and turns to right,runs $9$ and again turns to left,runs $5$ and then turns to left,runs $12$ and finally turns to left and runs $6.$ Now,which direction is the rat facing?

Raman starts from point $P$ and walks towards South and stops at point $Q.$ He now takes a right turn followed by a left turn and stops at point $R.$ He finally takes a left turn and stops at point $S.$ If he walks $5 \, km$ before taking each turn,towards which direction will Raman have to walk from point $S$ to reach point $Q$?

Sanjeev walks $10 \, m$ towards the South. Turning to the left,he walks $20 \, m$ and then moves to his right. After moving a distance of $20 \, m,$ he turns to the right and walks $20 \, m.$ Finally,he turns to the right and moves a distance of $10 \, m.$ How far and in which direction is he from the starting point?

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