# Microsoft Direction Puzzle

The puzzle was posed by Microsoft as a challenge. Looks pretty simple though you have to have a knowledge of directions. Puzzle looked almost as simple as a high school guy can do but it was got wrong my most of the people.

No, its not at all a trick question , very logical , very interesting.

Lets go for it

How many distinct points are there on the surface of the Earth from which you can walk one mile due South, then one mile due East, and then one mile due North, and end up at the same exact spot from which you started?

Give yourself a complete jerk and think about every possibility. It surely is a great question!!

One point for sure would be the north pole, where in we can go south, east and then north to be at the same point again.

South pole can not be for we cannot go south at the south pole.

But I guess there would be some line where we would complete one full circle above the south pole in 1 mile, and the condition should be satisfied at this line. I am not sure about this, but I guess it should be.

There would be infinite such points including the North Pole.

If we move away from the south pole a distance slightly greater than 1 mile, and then start with the movements, there would exist such a circle where after moving 1 mile south, when we make 1 mile east trip we will reach back the same point encircling from 1 to N times.

So there would be a given number of N such circles, all points lying on which will satisfy the given problem. Hence the answer would be infinite points.

The North pole solution is but obvious.

I guess I am right this time 😉

No,Sandee3p u r wrong again, If u go away from south, mind u that u are travelling nothwards and definitely a circle will b thr passing thro that point, but apply ur mind a lil to get the answer.if u consider the point u mentioned the order in which u can move in is South,North And then East. So the sequence of directions break down and the purpose of the puzzle is defeated. So, in my view this explanation of urs is not correct.

Only one such point….

i.e. the NORTH POLE.

yes…infinite number of points…

I got what Sandeep is tellin…

the points lie on a circle from which if we travel 1 mile south reaching pointA and then move 1 mile east, then we complete a circle around south pole reaching back pointA and thus the point we started after movin 1 mile north..

and also that there can be N such circles of starting points

there can be N such circles of starting points each corresponding to different no. of rotations around south pole

there must be infinite such points.

1+infinity+infinity

all the 1 milles completed with a square so there are a square distinct points

Wht is the correct answer man.

i believe its only possible if one of the point is pole and the triangle formed is equilateral.

thus infinite triangles can be formed keeping one point as south pole of side 1 mile

. hence infinite points including north pole.

i believe its only possible if one of the point is pole and the triangle formed is equilateral.

thus infinite triangles can be formed keeping one point as south pole of side 1 mile

. hence infinite points including north pole.

there should be 2 such points…one is certainly the north pole…the other is a point (say A) above south pole such that when you move 1 mile southwards from that point (to reach a pt still above the south pole say B)and move 1 mile eastward thereafter ,then you reach the same pt. B ,such that moving 1 mile north you again reach pt.A…

if you carry a compass which shows u the direction…then if we try this in real time, its IMPOSSIBLE to reach the same point from where you have started….

and the reason:if we travel 1 mile, a small mismatch in the angle where the north or south is.. think of it..

I always welcome criticisers

the correct answer to this should be infinite.

Hi everyone! I do not know where to start but hope this site will be useful for me.

Hope to get some assistance from you if I will have any quesitons.

Thanks and good luck everyone! 😉

In my opinion the solution is simple… the center of the earth when the circumference of the sphere is exactly 1 mile