$A$ postman was returning to the Post Office,which was in front of him to the north. When the Post Office was $100 \, m$ away from him,he turned to the left and moved $50 \, m$ to deliver the last letter at Shanti Villa. He then moved in the same direction for $40 \, m$,turned to his right,and moved $100 \, m$. How many metres away was he now from the Post Office? (in $m$)

  • A
    $0$
  • B
    $150$
  • C
    $90$
  • D
    $100$

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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?

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$A$ and $B$ start moving towards each other from two places $200 \,m$ apart. After walking $60 \,m$,$B$ turns left and goes $20 \,m$,then he turns right and goes $40 \,m$. He then turns right again and comes back to the road on which he had started walking. If $A$ and $B$ walk with the same speed,what is the distance between them now? (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?

If the digits of a watch are replaced by every alternate letter of the alphabet beginning from $12$ in the reverse order,i.e.,$12$ is replaced by $A$,$11$ is replaced by $C$,and so on,then on which alphabet would the small hand be when the time is $5:00 \, P.M.$?

Ravi walked $2 \, km$ west of his house and then turned south,covering $4 \, km$. Finally,he moved $3 \, km$ towards east and then again $1 \, km$ west. How far is he from his initial position (in $, km$)?

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