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?
- 1 Answers
- 12709 Views
- I also Faced
- E-Mail Answers
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 ? | 26 Yes | 2 No |
SkyFi city is served by 6 subway lines - A, E, I, O, U and Z. ? When it snows, morning service on line E is delayed. ? When it rains or snows, service on the lines A, U and Z is delayed both morning and afternoon. ? When the temperature drops below 20 C, afternoon service is cancelled on either line A or line O, but not both. ? When the temperature rises above 40 C, afternoon service is cancelled on either line I or line Z, but not both. ? When service on line A is delayed or cancelled, service on line I is also delayed. ? When service on line Z is delayed or cancelled, service on line E is also delayed. On February 10, it snows all day with the temperature at 18C. On how many lines service will be delayed or cancelled, including both morning and afternoon?
Kate, Demi, Madona, Sharon, Britney and Nicole decided to lunch together in a restaurant. The waiter led them to a round table with six chairs. How many different ways can they seat?
Mr. Black, Mr. White and Mr. Grey were chatting in the Yahoo conference. They were wearing a black suit, a white suit and a grey suit, not necessarily in the same order. Mr. Grey sent message, "We all are wearing suit that are of the same color as our names but none of us is wearing a suit that is the same color as his name." On that a person wearing the white suit replied, "What difference does that make?" Can you tell what color suit each of the three persons had on?
In how many ways can we put numbers 1 to 9 without repeating in a 3*3 matrix,so that the sum of all elements in any row and column and diagonal is 15??
A frog starts climbing 15 feet wall. Each hour he climbs 3 feet and rests for 30 minutes. During rest, he slips back 2 feet. How many hours does the frog take to reach the top?
1) You have 8 coins. 3 of them weigh x units, 3 y units, 1 a units and 1 b units. They are all mixed and look identical. You have to find the lightest coin in minimum number of weighing .
9 Answers Bhel, Mechanical, Microsoft, Oracle,
3 men are running in circle man A run with 20m/hr, man B run with 40m/hr, man C run with 50 m/hr , and the radius of cirlce is 200m then at what time they will meet together
If a monkey climbes 3mts in 1hr and slips back 2mts. What the time taken to climb 20mts .
IDear sir, I have had a data containing of 4 numbers on daily basis for which I would like to know what is the next comming 4 numbers. Based on that data I would like to find out the next comming numbers. Support needed. regards chandramohan gudivada 09849974512 cm116_99@yahoo.com Example : 4513, 4132, 1465, 2941, 1762, 1432, 3412, 5283, 7261, 2643, 4751, 2581, 6513 .... and what is the next number in the sequence?
Find out the smallest four digit number which is divisible from 1 to 10?
33 Answers IBM, Infosys, TCS,
sir i need catholic syrian bank previous question papers fully. it will be helpful for me to greater extend .please do the needful to me.
1..Potatoes are made up of 99% water and 1% "potato matter." Jack bought 100 pounds of potatoes and left them outside in the sun for a while. When he returned, he discovered that the potatoes had dehydrated and were now only made up of 98% water. How much did the potatoes now weigh? 2..One boy can eat 100 chocolates in half a minute, and another can eat half as many in twice the length of time. How many chocolates can both boys eat in 15 seconds? 3..In the Olympic Games, the flags of six nations were flown on the masts in the following way. The flag of America was to the left of Indian tricolour and to the right of the flag of France. The flag of Australia was on the right of the Indian flag but was to the left of the flag of Japan, which was to the left of the flag of China. Find the two flags which are in the centre.
10 Answers CTS, MBA, Ramco,
English 
