Question

A man goes towards east 5 kms, then he takes a turn to south-west and goes 5 kms. again takes a turn towards north-westa goes 5 kms. With respect to the point from where he started, where is he now?
(A) East
(B) North
(C) West
(D) South

Answer 1

The answer is the D south because at last he turned to south

Hope it will help you

Answer 2

$\underline{\underline{\Huge{\textbf{Solution:}}}}$

$\underline{\Large{\textsf{Step-1:}}}$
$\sf\textsf{Mark a starting point}$

$\sf\textsf{Let Starting position be indicated by } \lq \textbf{A} \lq$


$\underline{\Large{\textsf{Step-2:}}}$
$\sf\textsf{Picturize the given data}\\\sf\textsf{in accordance with the direction map.}$

$\sf\textsf{Here, the interest is only on direction}\\\sf\textsf{wrt the point where the man started,}\\\sf\textsf{the magnitude (5 km) is not considered.}$
$\sf\textsf{[As the options to the given}\\\sf\textsf{question are Directions]}$

$\sf\textsf{Picturize as per data given below :}$

$\sf\textsf{From the starting point A}$
$\small{ \blacktriangleright} \normalsize{\sf\textsf{Man goes towards of East}}\\ \sf\textsf{(and reaches point 1)} \\ \small{\blacktriangleright} \normalsize{\sf\textsf{He then goes in the direction}}\\ \normalsize{\sf\textsf{of South West}}\\ \textsf{(and reaches point 2)}\\ \small{\blacktriangleright} \normalsize{\sf\textsf{He then goes in the direction}}\\ \normalsize{\sf\textsf{of North West}}\\\sf\textsf{(and reaches Point B)}$

$\underline{\Large{\textsf{Step-3:}}}$
$\sf\textsf{Note the direction of Final point w.r.t}\\\sf\textsf{the point from where man started.}$

$\sf\textsf{If the man now goes towards East,}\\\sf\textsf{He will be moving in the same direction as that of he moved from starting point.}$

$\implies \sf\textsf{His Final Point \textbf{B} is in the \textbf{West} of Starting Point \textsf{A}}$

$\sf\textbf{The direction map and the pictorial representation}\\\sf\textsf{of the complete given data is as shown below:}$

$\begin{array}{ccccc}\bf NW&&\bf N&&\bf NE\\&\nwarrow&\uparrow&\nearrow&\\\bf W&\leftarrow&\bigstar&\rightarrow&\bf E\\&\swarrow&\downarrow&\searrow&\\\bf SW&&\bf S&&\bf SE\end{array}\qquad\quad\begin{array}{cccccccc}\tiny{\boxed{\textbf{B}}}&&&\Large{\Lsh}\tiny{\boxed{\textbf{A}}}&\rightarrow&\rightarrow&\rightarrow&\tiny{\boxed{1}}\\ &\nwarrow&&&&&\swarrow&&\\ &&\nwarrow&&&\swarrow&&&\\ &&&\nwarrow&\swarrow&&&\\ &&&&\tiny{\boxed{2}}&&&&\\ \end{array}$


$\blacksquare\: \: \: \textsf{With respect to the point from where man started,}\\\qquad\sf\textsf{ he is now to the \underline{\Large{\textbf{West}}}}$