The Maths and Science Thread - Collection of Problems and Facts

[Varun]

70 Seemed right, but so did 80. I had a feeling it should be 70,

I too figured till this but lost way after that.
Well done, Mr. Intelligent!

 

[Aussie Team]

Red = 1 = $6
Yellow = 29 = $87
Blue = 70 = $7

Sum:
1+29+70 = 100
6+87+7=100

lol! How did you do that. I don't know that someone knows that answer

 

[Abhas]

lol! How did you do that. I don't know that someone knows that answer

There was definitely a method of using Linear Programming.

We clearly have 2 equations:
6x+3y+0.1z=100
x+y+z=100

But, to solve the 3 unknowns, we need 3 equations. Assumed a value of any of the options, and check for equality.

I used a logic that the Blue should be in multiples of ten.
And, considering the total needed to be 100, a majority had to be from the blue.
I started off by assuming Blue = 60, then 70, then 80.
60 seemed too little, because the remaining 40 needed to be filled by the Yellow and Red, and it was not possible.
70 Seemed right, but so did 80. I had a feeling it should be 70, and tried to find a combination for it.
Putting B=70, I had 30 places left.. and $93. Dividing 93 by 3, I got 31. This meant 29 Yellow, and 1 Red.

Crude, but effective. I managed to solve it quicker than it seems, so not a bad effort

That's how.

 

[P Squared]

I have a sum which if anyone solves I will call them as a legend in my sig. Only problem- I dont know how to type underoot on the keyboard.

 

[Varun]

I have a sum which if anyone solves I will call them as a legend in my sig. Only problem- I dont know how to type underoot on the keyboard.

Use character map. And do it quickly! I wanna see that sum!

 

[P Squared]

Whats character map?

 

[Varun]

Whats character map?

Start >>> All Programs >>> Accessories >>> System Tools >>> Character Map

Just copy and paste the underroot sign from there.

 

[P Squared]

Find the value of

√(a+x) - √(a-x)
――――――――
√(a+x) + √(a-x)

when x =
2ab
――――
b2 +1
Note- the b2 expression means b squared.

And its not as easy as it looks.

 

[Varun]

In the mean time, a fact.

Did you know that by remembering just 3 courses - Bsc MA PhD, you can learn the names of the major coastal cities of Australia clockwise.
It expands to Brisbane, Sydney, Canberra, Melbourne, Adelaide, Perth, Hobart and Darwin.

 

[P Squared]

Cant anyone do it? Then you wont be called a legend.

 

[Bounce]

Find the value of

√(a+x) - √(a-x)
――――――――
√(a+x) + √(a-x)

when x =
2ab
――――
b2 +1
Note- the b2 expression means b squared.

And its not as easy as it looks.

Looked pretty easy but it isn't. Tried solving it on a piece of paper for a couple of minutes and I think I almost got it, but unsure.

Is the final answer 0?

 

[Kshitiz_Indian]

I gave it a try, I got the answer as 1/b, though I dunno if its needed in that form...

 

[P Squared]

Looked pretty easy but it isn't. Tried solving it on a piece of paper for a couple of minutes and I think I almost got it, but unsure.

Is the final answer 0?

Thats wrong.

P Squared added 1 Minutes and 52 Seconds later...

I gave it a try, I got the answer as 1/b, though I dunno if its needed in that form...

You've given IIT. You'd obviously know how to solve it. It was intended more for the 9th and 10th(my age) guys but full marks for you, your a legend.

P Squared added 3 Minutes and 7 Seconds later...

This question is closed.... no more legends!!!!

 

[Kshitiz_Indian]

Hahahah lol you should have specified it then. And never mind that sig, I don't need you to put it in there!

 

[Meet]

^you are too old compare to us.