Hi guys!

Here is a math quiz.
I was carrying a stone weighing 40 kgs. As I was walking thru the road( chilpo bato,rat mato) , my feet slipped and I fell down. The stone broke into 4 pieces. To my suprise, it broke into such pieces that now with the combination of those four pieces of stone , I can weigh any integer number of kgs from 1 to 40. To elaborate, i can weigh 1, 2, 3 ... 40 kgs of rice with the combination of those stones.
U guys need to find out the weights of those four stones...Mathematical proof of the answer will be truely welcomed.

Ka chipli ra yaar. Hamilai tension nai nahune. Lets sue the municipalty.

Kiwiland,

It broke into the 4 pieces with following weights.
1Kg
3Kg
5Kg
31Kg

Logic:

40=31+5+3+1
39=31+5+3
38=31+5+3-1
37=31+5+1
36=31+5
35=31+3+1
34=31+3
33=31+3-1
34=31+3
33=31+3-1
32=31+1
31=31
30=31-1
29=31+1-3
28=31-3
27=31-3-1
26=31-5
25=31-5-1
24=31-5-3+1
23=31-5-3
22=31-5-3-1
21= Do the rice Fifty Fifty(You get 20kgs) +1
20= Do the rice Fifty Fifty
19= Do the rice Fifty Fifty -1
18= Do the rice Fifty Fifty -3+1
17= Do the rice Fifty Fifty -3
16= Do the rice Fifty Fifty -3-1
15= Do the rice Fifty Fifty -5
14= Do the rice Fifty Fifty -5-1
13= Do the rice Fifty Fifty -5-3+1
12= Do the rice Fifty Fifty -5-3
11= Do the rice Fifty Fifty -5-3-1
10= Do the rice Fifty Fifty(Ypu get 20kgs) & Agian do it Fifty Fifty from 20 Kgs(You get 10 Kgs.).
9=5+3+1
8=5+3
7=5+3-1
6=5+1
5=5
4=3+1
3=3
2=3-1
1=1

Jay Never Ending Peace And Love

KiwiLand,

I solved your quiz.
But you could not solve mine earlier.

try it man you are the genious one.

Questions:
Suppose Aa Bb Cc are going to cross a river with only one boat. Where A means a boy and a means his GF. And similarly Bb and cc too. All of them know how to drive the boat. The boat can carry at most 2 persons at a time.

How do they cross the river.
Conditions: If a girl is in the different side that of her BF, she will be kissed by the other boys even if they are with their GFs.

Kiwiland try gara na.
You can do it man.

kiwiland,

it doesnt matter on what four pieces the stone broke into. but for ur sake lets assume it broke into 35+2+2+1

now, to get the weight of the Rice, just place the rice in one side of the balance and the wieght in other side of the balance, you know the weight of the balance so, the only thing is whatever the balance shows you, just subtract it from the weight..

for example, if it shows 13 on the balance with the rice on it, then the wieght wud be..

35-13= 22

did i get it right :p

dude, the pieces are....

1+3+9+27

now my question....

In your cellar there are three light switches in the OFF position. Each switch controls 1 of 3 light bulbs on floor above. You may move any of the switches but you may only go upstairs to inspect the bulbs one time. How can you determine the switch for each bulb with one inspection??

Paras Shah is right... it is 1 3 9 and 27..
Bhinaju and confused.. i need to work a lil hard...:P.. if we have 4 number that fits without making the rice fifty fifty or whatever ..why wud u bother to do that.
Sorry! ur answers were wrong....Anyway thanks for the response.
Paras! can u provide me the mathematical proof of the solution u gave.. that wud be cool.

Paras! i think ur question is missing something.. wud u have a look at it again?

Try this guys; it?s interesting.

A disk of radius 1 cm has a small hole at a point half way between the center and the circumference. The disk is lying inside a circle of radius at 2 cm. A pen is put through the hole in the disk, and then the disk is moved once round the inside of the circle, keeping the disk in contact with the circle without slipping, so the pen draws the curve. What is the area enclosed by the curve?

Read the second sentence as:
The disk is lying inside a circle of radius 2 cm.

hi guji,

the area of the circle ( not the curve) would be 1.5 X1.5 X 3.14 square cm where 3.14 is the calue of pi and the radius of the circle made by sticking the pen inside the circle and then adhering the disc to circumference of the circle.

however, if the circle (curve) is made without adhering the disc to the bigger circle, then the radius simply would be 3.14 X 0.5X0.5 square cm.

hi guji,

the area of the circle ( not the curve) would be 1.5 X1.5 X 3.14 square cm where 3.14 is the calue of pi and the radius of the circle made by sticking the pen inside the circle and then adhering the disc to circumference of the circle.

however, if the circle (curve) is made without adhering the disc to the bigger circle, then the area simply would be 3.14 X 0.5X0.5 square cm.

Ops.... Wrong thread haha...
Hated Maths Hate Maths and will always Hate it,
but i wish I was good at it.. I wish... haha.
Aiiight Guys have fun...
Indisguise.

hey guji!

U reminded me of my childhood... I used to play making different geometrical figures. Actually if u keep doing that for several times .. u will have a wonderful flower drawn.

But as per ur question, if u do it once.. u get an ellipse...
Ellipse with ( 4- 0.5-0.5) = 3 cm longer side and ( 4- 1.5-1.5) = 1 shorter side.. and so the area of ellipse is pi*longer *shorter/4 = 2.356 sq cm
:)
Cheers!

Okay Guys,

Paras,
1st switch: ON
2nd switch: OFF
3rd switch: ON

Here goes my quiz:

Question:

There is a pond with 10 Cms depth. There is a Frog.
Always it goes up 5 Cms & in the night it slips 3 Cms below.
After how many Days it can go out from the pond?

(Mathmatical proof is also welcomed with your answer.)

Hey Lonely,
That?s not the right answer though. I am ignoring your second answer (area of the curve without adhering to the bigger circle) since that?s not what the question asked for.
In your first answer, you are assuming something which is not true.

Hey Kiwi,
I did not see your answer first. You got the right answer. Good intuition.

And to the question about the frog.
The frog will be out of the pond by after 4 days.

Questions:
Suppose Aa Bb Cc are going to cross a river with only one boat. Where A means a boy and a means his GF. And similarly Bb and cc too. All of them know how to drive the boat. The boat can carry at most 2 persons at a time.

How do they cross the river.
Conditions: If a girl is in the different side that of her BF, she will be kissed by the other boys even if they are with their GFs.

Here is the answer for this one.

First Aa go to the other side of the river. Then, only A comes back leaving his gf alone on the other side. Then Bb take the boat and go to the other side. After Bb take off the boat, a takes the boat and go back to where she was originally. Then AC, two guys, take the boat and go to the other side. On returning, b takes the boat leaving all three guys on one side and all three girls on the other side. Then any two girls, say a and c, take the boat and go to the other side. While returning B takes the boat and goes to the other side to meet his gf b. Then Bb take the boat and go to the other side to join the other two pair.

Unlucky guys--did not get the chance to kiss any ladies.

One more:

The radius of the base of a right circular cone is 1. The vertex of the cone is V, and P is a point on the circumference of the base. The length of PV is 6 and the midpoint PV is M. A piece of string is attached to M and wound tightly twice round the cone finishing at P. What is the length of the string?

Hey Guji!
Its really a difficult question..u need to do either lot of thinking or lot of surfing...
I think this question is way high upto the reach of many people here... I could understand the proof but its no point copy pasting in this thread.
This was asked in Virginia Tech Regional Mathematics Contest 98.
And by the way ... no body gave a mathematical proof to my question of 4 stones... it was 1 3 9 and 27? but how? mathematically?
Guji..u sud try that out.
cheers!