Latest general Aptitude Question SOLUTION: A soldier looses his way in a thick jungle. At random he walks from his camp but mathematically in an interesting fashion. First he walks one mile East then half mile to North. The

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(#M40000167) GENERAL question Keep an EYE

A soldier looses his way in a thick jungle. At random he walks from his camp but mathematically in an interesting fashion.
First he walks one mile East then half mile to North. Then 1/4 mile to West, then 1/8 mile to South and so on making a loop.
Finally how far he is from his camp and in which direction?

Asked In general Naveen (14 years ago)

Solved C.T.Narayanan Read Solution (8)

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sathya4046  (14 years ago)

9/64 + 9/16 =(9+36)/64 = 45/64
sqroot(45/64)= 3root(5)/8= 0.839 miles from camp

Is this solution Helpfull? Yes (3) | No (1)  

devender singh saini   (14 years ago)

i+1/2j-1/4i-1/8j+1/16i....

=4/5i+2/5j
direction=tan(inverse)1/2

Is this solution Helpfull? Yes (3) | No (2)  

muthusamy  (14 years ago)

He is in South Direction
He is 1.125 miles from Camp

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C.T.Narayanan  (14 years ago)

2 / root(5) miles in north east direction

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avinash reddy  (14 years ago)

4-20

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sathya4046  (14 years ago)

(0.5-0.125)= 0.375, (1.0-0.25)=0.75, sqrt(0.375^2 + 0.75^2)= 0.8385

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Saranya Kumar  (14 years ago)

He is 3 root(5)/8 miles from his camp..
i.e 0.84 miles from his camp

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madhu sudan tinker  (9 years ago)

The soldier is 0.8944 miles away from his camp towards East-
North.

It is obvious that he is in East-North direction.

Distance travelled in North and South directions
= 1/2 - 1/8 + 1/32 - 1/128 + 1/512 - 1/2048 + and so on...
(a geometric series with r = (-1/4) )

(1/2) * ( 1 - (-1/4)n )
= ---------------------------
( 1 - (-1/4) )

= 1 / ( 2 * ( 1 - (-1/4) ) )
= 2/5

Similarly in East and West directions
= 1 - 1/4 + 1/16 - 1/64 + 1/256 - and so on... (a geometric
series with r = (-1/4) )

(1) * ( 1 - (-1/4)n )
= ---------------------------
( 1 - (-1/4) )

= 1 / ( ( 1- (-1/4) )
= 4/5

So the soldier is 4/5 miles away towards East and 2/5 miles
away towards North. So using right angled triangle, soldier
is 0.8944 miles away from his camp.

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