Puzzles contest - 105

HELP · 01-06-06, 02:30 PM

1. 153 = 13 + 53 + 33 Can you find some other three digit numbers like this?

2. Can you tell what curve has been called the 'Helen of Geometers'?

3. Naval collected 8 spiders and beetles into a little box. When he
counted the legs he found that there were altogether 54. How many
beetles and how many spiders did he collect ?

4. 543450 What number must be substituted with '5' to make it divisible by 36?

5) We have an angle of 1 W How big will it look
through a glass that magnifies things three times?

meera · 02-06-06, 10:24 AM

3) spider-- 8 legs

beetle--6 legs

let x=spider

y=beetle

x+y=8--(1)

8x+6y=54--(2)

Solving these eqn we get x=3 ,y = 5

3 spider ,24 legs

5 beetle , 30 legs

Rena · 02-06-06, 10:25 AM

Hi,

1.It is 153=1^3+5^3+3^3

Answer:370=3^3+7^3,407=4^3+7^3

2.Cycloid.

3.The boy collected 54 legs.

5 beetles=30 legs

3 spiders= 24 legs

30+24=54 legs totally.

4.

01-06-06, 02:30 PM	#1 (permalink)
HELP Senior Member Join Date: Jan 2006 Posts: 976 Thanks: 0 Thanked 27 Times in 20 Posts Thanks: 0 Thanked 27 Times in 20 Posts Rep Power: 14	1. 153 = 13 + 53 + 33 Can you find some other three digit numbers like this? 2. Can you tell what curve has been called the 'Helen of Geometers'? 3. Naval collected 8 spiders and beetles into a little box. When he counted the legs he found that there were altogether 54. How many beetles and how many spiders did he collect ? 4. 543450 What number must be substituted with '5' to make it divisible by 36? 5) We have an angle of 1 W How big will it look through a glass that magnifies things three times? __________________ WE WISH YOU ALL THE BEST SURESHKUMAR.NET TEAM

02-06-06, 10:24 AM	#2 (permalink)
meera Senior Member Join Date: Feb 2006 Location: Posts: 476 Thanks: 0 Thanked 2 Times in 2 Posts Thanks: 0 Thanked 2 Times in 2 Posts Rep Power: 8	3) spider-- 8 legs beetle--6 legs let x=spider y=beetle x+y=8--(1) 8x+6y=54--(2) Solving these eqn we get x=3 ,y = 5 3 spider ,24 legs 5 beetle , 30 legs __________________ Fill the brain with high thoughts, highest ideals, place them day and night before you, and out of that will come great work.[img]smileys/smiley1.gif[/img]

02-06-06, 10:25 AM	#3 (permalink)
Rena Senior Member Join Date: Mar 2006 Posts: 609 Thanks: 0 Thanked 26 Times in 9 Posts Thanks: 0 Thanked 26 Times in 9 Posts Rep Power: 10	Hi, 1.It is 153=1^3+5^3+3^3 Answer:370=3^3+7^3,407=4^3+7^3 2.Cycloid. 3.The boy collected 54 legs. 5 beetles=30 legs 3 spiders= 24 legs 30+24=54 legs totally. 4. __________________ \"A GREAT PLEASURE IN LIFE IS DOING WHAT PEOPLE SAY YOU CANNOT DO\".

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