Beauty of Maths:

1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321

1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 +10= 1111111111

9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888

and finally take a look at this symmetry

1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111=12345678987654321

HOW ABOUT THIS ONE

3 GUYS WALKS IN TO THE HOTEL AND ASK FOR A ROOM. RECEPTIONIST SAYS ITS £30 PER NIGHT. 3 OF THEM DECIDES TO SHARE AND PUTS IN £10 EACH. LATER ON, THE RECEPTIONIST FINDS OUT THAT ACTUAL PRICE OF THE ROOM WAS £25, SHE DECIDES TO SEND £5 BACK TO THE GUYS WITH THE BELL BOY. BELL BOY BEING GREEDY DECIDES TO KEEP £2 FOR HIMSELF AND GIVES £1 EACH BACK (£3 IN TOTAL). NOW GUYS HAVE PAID £9 EACH FOR THE ROOM. NOW YOU DO THE SUM £9 PER PERSON TIMES 3 = £27, AND BELL HAS GOT £2,, EQUALS £29, WHERE THE HECK IS £1?

Three guys total pay $27. $25 for room 2 for Bell boy.
Nothing wrong.

Blue_moon, come on man, everybody knows that, but if you follow as you read, it is bit confusing. I bet you got £29 at the begining.

One more ugly maths:

In a closed room 30ft x 12ft x 12ft, there is a spider in the middle of one of the square walls exactly 1ft below the ceiling. In the middle of the opposite wall, exactly 1 feet above the floor, lies a fly. What is the shortest distance that the spider will have to crawl to reach fly?

in an ordinary case, the spider has to crawl at least 42 feet..
if there is a channel between them, then minimun distance by pythagorus theorem =
31.62 feet

by pythagorus theorem my answer is 43.17 feet (for a right-angle triangle of 10 feet height and 42 feet base)

the base is supposed to be 30 ft

Well, the spider has to crawl along the wall; it cannot fly in the air. The floor is 30 ft x 12 ft, and the height of the room is 12 ft.

10*Sqrt(10) Ft.

tregor, slowPoison, thyangboche,

The straight line joining the two locations will be 10*sqrt(10) ft. But what is required is the distance that the spider will have to crawl along the wall / ceiliing / floor to reach the fly. Yes, 42 ft is the ordinary guess, but that's not the length of the shortest possible route to crawl along.

if you assume that the spider can drop itself from the top of the ceiling to the floor rather than crawling, the shortest distance will be 31 feet.........

It's a problem on ordinary geometry.. no tricks are to be assumed.

Man what comes 2 my head are::

31ft, if you dont consider the jump 'or'
42ft if it can't jump.

but are u sure my answer is wrong???

gem....

use separate thread next time coz itz messy!!!

ya thts what i said earlier
42 and 31

Thyangboche,

The spider cannot jump. And the correct answer is less than 42 ft.

buddhu spider!!
this spider is good for nothing......it'll crawl 42 feet or 31 ft(if it's a real SPIDERMAN) .....and see....how sweet the fly is......she is eagerly waiting there only meanwhile for her dear Spider....???

The spider has to move: 38.6349082376012411 FT.

But how's that??? This is not the correct answer.

the nearest possible distance is the straight line which is 42
or 31