Time for a break

Suli, Keep the paper strip straight infront of you and pick up the top right corner with your hands. Now, place that corner anywhere along the left edge. Make a fold and now you will be able to see a triangle made by the fold.

The area of the triangle will depend on the point on the left edge at which the top right corner was placed.

So, the question is, what is the minimum area of the triangle that can be formed.

zedadiah, That is not the right answer. It is not that simple. You need to think and apply pythagorus, similar triangles, quadratic equations and finally calculus..:)

KR - Minimum area is 50cm2

-

it is not very clear KR

Getting bored..so remembered an interesting problem. It goes like this..

Take a sheet of paper strip of 10 cm width whose length can be considered as infinite. Now, fold the paper forming a triangle such that the right corner of the rectangular sheet of paper sits anywhere on the left edge.

Question is: What is the minimum area of the triangle formed?

Note: Maximum area is infinity as the paper strip is infinitely long.

ok ok ... we get it... well... so 38% and 62% was the right answer when rounding

OK, let me give you some hints..

Let the length of the full line be 100% so written as 1 in decimel. Let the smaller ratio be P and the bigger ratio will be then (1-P).

Now, based on the condition, (1-P)/1 = P/(1-P) this is the quad. equation.

simplifying it we get, 1-3*P+P*P = 0 which can be solved easily for two values. Taking the realistic value

P = (3-SQRT(5))/2

p = 0.381966011250105151...( this is an irrational number so this much accuracy is fine..:))

KR ,,, GRRRR

Yes you are right

but am not sure that we can use the 0.62 as it has a (-) signal

But the equation should be correct,, Right?

X/Z = Y/X

Z = X + Y

X(X+Y) = Y/X

1 +(X/Y) = Y/X

Assume Y/X = M

1+ (1/M) = M

M^2 - M - 1 = 0

M = 1.62 , and M = -0.62

So Y = 1.62 X

Suli, your equation isn't correct. You have chosen Y to be the smaller part...so how can it be 1.62 times the bigger part.

I was dumb.... i forgot that y is also under the square root... so the answer is x=10%x (y under square root. lol...

Yes, you are close but not accurate. Once you form the quadratic equation you will get the accurate answer i am looking for.

sorry Suli... you mentioned it first... and yes at first i was wrong

Yes Snakky, this is the equation. Now you have to form a quadratic equation out of it and solve for the ratio. Iam sure you will get it once an equation is formed..:)

if this is it... then my calculations are right... if z = 100% then appeoximately x = 62% and y = 38%.

snakyy yes this is it :)

Dude.. let's try it one last ime.... you are saying

x/z=y/x ?

where x is large side, z the whole line and y is the smaller side ? pls confirm

snakky, your math isn't correct! Try to cross check by calculating the two ratios. The value of the first ratio is 0.909 while the value of the second ratio is 0.1

I am afraid you are not able to convert percentage into decimel properly..

if you want the reverse answer then it is approximately 62% vs 38% and the ratio would be approximately 0.61

kr... this is just a typo.. the argument is valid though...

you end up with x2=zy ... so what i wrote earlier is right... just the first line was type.. sorry. so if z = 100%... then x=90.9 and y is 9.09%.. oops.. little marginal error.. yeah.. so the answer is

x=90.9 and y is 9.09%

and ration wise... 1 to 10 .. meaning larger line should be ten times larger than smaller line.

Suli, your answer is close but its not accurate. This is a simple quadratic equation and the name of the problem is 'golden ratio' of a line.

I am sure if you form a quadratic equation and then solve it, you will get an accurate answer. Good try though!!

KR ,, I had a headache now

It is not working

but the closest answer was

If we assumed that z = 100

Then x =62

and y =38

0.62 = 0.613 ,,, i know it is not right

but this is what i got :(

Snakky, Please read the question again!! The condition required as per your variables is x/z = y/x.

Your answer is not satisfying the condition of the question.

Sorry KR... I know about it.. and that is the correct answer... you might be looking just for a different representation of the same solution.. this is very simple question .. if x is larger part .. y is smaller.. and z is the total length.. then x/z=x/y which is x2-zy... assuming z = 100% of line... x = 10 y... which is x = 91.91% and y = 9.09%... sorry.. the answer can not be incorrect

Snakky21, The line definitely finite. You can actually find the solution of it by making and solving a quadratic equation. This isn't the right answer.

Once you come with an answer, you should cross check if the conditions are being satisfied.

x=10y... where x is larger side and y is smaller...in other words smaller part should be 10 times smaller than the larger part... another representation is

90.91% vs 9.09%.

unless we assume that line is infinite.. then there is no solution...

any other questions ? :-)

Now here is a math question..

In what ratio a line should be divided into two parts so that the ratio of the bigger part to the whole line is the same as the ratio of the smaller part to the bigger part.

1+2+3 = 6

1*2*3 = 6

what are the three numbers which their multiplication is equal to their summation?

Seems a math period is in progress in QL. Did someone actually try to solve the Beal Conjecture?

but the good thing is that they agreed on what the judge did and did not fight after the distribution (The buzzle stops on what the judge did and we do not know what happened after).

But sinece we are talking about fairness prior to them negotiating the outcome... the first bother who gets 0.5 of a camel is the largest beneficiary... and the last brother who gets -0.11 of the remaining is the least beneficiary.. considering first got most camels and last got least camels it is not a fair rounding... if we include negotiation then the first brother should give one of his camels to the last one... and say... here you go bro... at least you got 3 camels.. i still got 8 ;-)

Dude... i dont think you are getting what I am saying:

17/2 = 8.5

17/3 = 5.67

17/9 = 1.89

If you round them up using a common sense... you end up with 9, 6 and 2.. and the sum is 17... you dont need a camell for that.

Now on the topic of fairness.... naturally if they agree on something it does not matter... even one brother can tell another take all my camels... i got enough wells... you dont owe me anything... Khalas

and if all the brothers agree then it is fair, another point if you make rounding and sum it up will not reach the exact original number

and here is the proff:

17/2 + 17/3 + 17/9 does not equal 17

but

18/2 + 18/3 + 18/9 equals 17

Dude..... you wrote exactly what I did... what is your point... what i said is

1. nobody needs an extra camel from the judge.. it is obvious how to divide camels if you just round up the numbers

2. While rounding you are benefiting the one who gets the largest rounding.. so it is by definition not a fair division.

Now what is your point ?

is that 17 can not be divded by three without having a fraction, so the judge addid his camel to have 18 which can be divided by 3

The father already died and left the 17 camels for his sons, and the sons did not how they can divide the camels as per their father wishes.

17/2 = 8.5

17/3 = 5.67

17/9 = 1.89

Now = 1.89 + 5.67 + 8.5 = 16.07 so there is one camel left and I can say this is not fair

here what the judge did

17 camel + Judge camel = 18 camels

18/2= 9

18/3= 6

18/9= 2

Now let us see 2+6+9 = 17 and remaining camel took by the judge which obviously his camel.

oh... and btw.... not all brothers benefited equally from rounding up... they guy who already got half... got the largest part of rounding up... which is unfair cause his starting share was already large

SA... you just repeated my point... so what is your point ? Why do you need an extra camel ?

In mathematics preliminary schools one of the lesson is how can you divide a number without having a fraction or remaining one or two numbers or more, so the teacher ask the students divde 13 by 2 for example, the students must add 1 so it becomes 13+1 = 14, and 14/2 = 7

SA in a sense i was right but i was also little bit confuse with equally so i said 6 to each otherwise could have done the mathematics too.

SA, your answer is actually incorrect:

1. You said equally... should have said fairly as per father will

2. Even if you did follow father's will... it is still incorrect.. Here is how it should have been:

1 bro 1/2 - 8.50 camels

2 bro 1/3 - 5.67 camel

3 bro 1/9 - 1.89

It all adds up to 16.05... the rest of the camel should have been given to poor people - 0.95 camel. Alternatively brothers could agree on gifting or buying additional shares. Alternatively if you round up all the figures with the remainder of the camels you get 9, 6 and 2... so no need for judge's camel

The bottom line: Most likely his father did not understand that the total of his wealth should be eqaul to 100%.

my friend Osama, I think the question should be what did the judge do to distribute the camels according to their father wish.

17/2 = 8.5 camel !! how can some one take 8 camels and half a camel, so the judge avoided this by adding his camel and now it became 18, and 18/2 = 9, can you buy a dog and half a dog for your house for example? Yes if the dog is dead.

but the question was:

what the judge do to divide the camels equally?

and that doesn't seem to be "equally"!

The judge put his camel with their camels = 17+1 = 18

the first takes half = 18/2 = 9 camels

the second takes one thirs = 18/3 = 6 camels

the third sone take ninth = 18/9 = 2 camels

so now we have 9 + 6 + 2 = 17 camels, and the remaining one the judge took it and left the sons.

6 camels for each the judge was riding one all together 17+1 18

Osama... you are the man... i am wondering if you getting answers from somewhere or heard it before.... if you are figuring it out then you are amazing.. you should try Mena test...

2 is confusing... was the judge supposed to distribute them equally.. or as per father's will ?

Also why dont you start a new thread tomorrow morning along the same lines... and dont give answers until noon... have a cut off time specified in thread.. will be more fun

but 2. wrong

1. maybe the driver was not driving a car but walking!

2. he will give 5 to each and take the remaining 2

OR he will step down the camel and give 6 to each

3. 5 children

2. A man had 17 camel and he asked that these camels must be divided among his three sons, the first son takes half of the camels, the second son takes one third of the camels, the third son takes ninth (1/9) of the camels, the father of the sons died and when the three sons were back to home with the 17 camels they saw a man on a camel and they new he was the judge, they told of what their father told them, what the judge do to divide the camels equally?

3. A number of children were standing in a line, where one of the children has 4 children infront of him and one of the children has 4 children behind him, how many children are there?

1. A car driver was on the right side of the road and suddenly this car driver turned left and hit a beam and a man, the police man did not issue a violation how?

SA add some more questions

and for 2. I would also say letter envelop

osamabawab you got it right buddy

2. currency

1. hand watch

3. family tree

right

1. A pitch or field of glass with twelve players and three refrees?

2. Some od these are the same size of your hand and travels around the world?

3. A tree but does not have fruits or shadow?

Have a good day guys.

RB73.. very quick! hehe, 5 minutes away from my place and a lady.. ya know, no queue haha

Well.. i am going to give you my summary which in turn inspired by other QLers answers:

1. Breakfast (plagerized)

2. Air or Ghousts / Spirits

3. Hole (plagerized)

4. Spounge or Cloude

5. Fatality in Mortal Combat.. you cut your oponent's head and it rains !! Or might be cloud too.

Now the poster should give us the answers he / she had in mind.

like shady till i die and for

5. it is trains, when you you remove the t it becomes rains

3. is hole and age.

i am fully confident that rizks answers are the best ones

Janneeyy03 it was quick at Public Prosecution Office.

3.age

LOL you Rizks! :O

Rizks u silly ,, when i cut your blad head it will rain blood ,, whaahahaha :O)

Pen

Last one is Umbrella

DAMN only 4 what about my neat and clean handwriting? no extra marks??

4/5

1.Breakfast

2.Time

3.Hole

4.sponge

5.??????

1. Sunflower oil

2. Fart

3. Condom

4. Dotted condoms

5. P***s ?