Circular Table?

Question

86 people are seated equally spaced around a circular table. They are numbered in order from 1 through 86. What is the number of the person sitting directly across the table from person number 58? Please can anyone explain how to do this? Thanks, your help is much appreciated! ^_^

Thank you all so much for your answers! They're all great, I wish I could pick them all ^_^ Now I see it's not as hard as it seems, I was just a little confused.

Answer 1

Person number 15
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Ok, this is easier than it seems:

look at the clock, see how the 12 is directly opposite from the 6?
well you can then conclude that the number directly opposite the highest number is its half.

So, across 86 is 43
and then whichever direction you go (less than 43 spaces), the two numbers will change by the same amount

going from 86 to 58 takes.....86-58 = 28 spaces
so 28 spaces from 43 will be.....43-28 = 15

Person number 15 is directly across number 58.

Answer 2

There are 86 people. So count from your position thru half the people. So if your position is n, the person across from you is

n + 86/3 = n + 43

If n + 43 ≤ 86, then that is the answer.
If n + 43 > 86, then (n + 43) - 86 = n - 43 is the answer.

Start with

n + 43 = 58 + 43 = 101 > 86

So n - 43 = 58 - 43 = 15 is the answer.

Answer 3

the respond is 10! / 10. 10! or Ten factorial = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x a million. photograph the ten human beings status with all the chairs empty. the 1st guy or woman to take a seat down has ten chair alternatives. the subsequent guy or woman can fill between the 9 ultimate chairs, etc. There are, extraordinarily, 3,628,800 diverse approaches for those human beings to take a seat down. (10!) although: simply by fact the table is around, there are ten occurrences of each diverse association. (After everybody sits down, they could rotate around the table in 10 diverse positions, yet all of those are an identical "association." So we divide the above quantity by using 10, and there you have it. 362,880 diverse seating arrangements. Bon appetit!

Answer 4

15?
I'm italian, can't speak english...
Anyway, splitted the number in two, 43 and 43. In front of number 1 it will be number 44, right? Plus 14 is 58 and 1+14 is 15
is it right?

Answer 5

To solve this, I would start by drawing it out. Draw a circle, and put 43 lines through it (86 people, one at each end of each line). Then put in the numbers all around and see who is across from 58.

Answer 6

see a round table has a total of 360 degrees
therefore if 86 people are sitting each person will occupy a seat at every 4.186 deg {360/86}.
now the 86 person will be sitting at 242.79 deg {86 * 4.186}
a person sitting directly opposite him would be at 62.79 deg {242.79 - 180}
a person occupying seat at 62.79 deg would be the 15 person
{62.79/4.186}
ans : person no : 15