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?






A soldier looses his way in a thick jungle. At random he walks from his camp but mathematically in..

Answer / guest


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.

Is This Answer Correct ?    21 Yes 1 No

Post New Answer




More Puzzles Interview Questions

A rich man died. In his will, he has divided his gold coins among his 5 sons, 5 daughters and a manager. According to his will: First give one coin to manager. 1/5th of the remaining to the elder son. Now give one coin to the manager and 1/5th of the remaining to second son and so on..... After giving coins to 5th son, divided the remaining coins among five daughters equally. All should get full coins. Find the minimum number of coins he has?

5 Answers  


500 men are arranged in an array of 10 rows and 50 columns according to their heights. Tallest among each row of all are asked to come out. And the shortest among them is A. Similarly after resuming them to their original positions, the shortest among each column are asked to come out. And the tallest among them is B. Now who is taller A or B ?

14 Answers   ANZ, Infosys,


To move a Safe, two cylindrical steel bars 7 inches in diameter are used as rollers. How far will the safe have moved forward when the rollers have made one revolution?

3 Answers  


greatest achievement in life

3 Answers  


2-3 ques on GDP growth rate ?

0 Answers   ONGC,






A cube painted on all six sides by red color is divided into 125 equal cubes find i) number of cubes having a)3 faces colored b)2 faces colored c) 1 face colored d)0 faces colored ii)Find probability of picking a cube having red face

6 Answers   Infosys,


There is a 50m long army platoon marching ahead. The last person in the platoon wants to give a letter to the first person leading the platoon. So while the platoon is marching he runs ahead, reaches the first person and hands over the letter to him and without stopping he runs and comes back to his original position. In the mean time the whole platoon has moved ahead by 50m. The question is how much distance did the last person cover in that time. Assuming that he ran the whole distance with uniform speed.

4 Answers  


A number of 9 digits has the following properties: ? The number comprising the leftmost two digits is divisible by 2, that comprising the leftmost three digits is divisible by 3, the leftmost four by 4, the leftmost five by 5, and so on for the nine digits of the number i.e. the number formed from the first n digits is divisible by n, 2<=n<=9. ? Each digit in the number is different i.e. no digits are repeated. ? The digit 0 does not occur in the number i.e. it is comprised only of the digits 1-9 in some order. Find the number.

1 Answers  


can anyone provide the answer for the puzzle below There are 25 horses,in each race only 5 horses can participate.how many races are required to select best 5 horses out of 25. need answer with detailed explanation

33 Answers   Wipro,


3. During a recent school reunion, four men were discussing their starting salaries back in 1962. the salaries in questring were 8, 10,12 and 14 thousand pounds per year. of course the MP earned the most. Alan earned more than Brian and the doctor earned more thanb Derek, the vet. carles could not remember what he started on. Brian, the lawyer, did not start on 10,000 pounds nor did Derek. can you determine who has which job and their starting salaries?

2 Answers  


There are 3 colored boxes - Red, Green and Blue. Each box contains 2 envelopes. Each envelope contains money - two of them contain Rs. 25000 each, two of them contain Rs. 15000 each and remaining two contain Rs. 10000 each. There is one statement written on the cover of each box. * Red Box: Both, a red box and a blue box contain Rs. 10000 each. * Green Box: Both, a green box and a red box contain Rs. 25000 each. * Blue Box: Both, a blue box and a green box contain Rs. 15000 each. Only one of the above 3 statements is true and the corresponding box contains the maximum amount. Can you tell which box contains the maximum amount and how much?

2 Answers  


All of the students at a college are majoring in psychology, business, or both. 73% of the students are psychology majors, & 62% are business majors. If there are 200 students, how many of them are majoring in both psychology & business?

6 Answers  






Categories