Murphy's Laws

Ok, now these are some of the most interesting quotes i have ever read.... or maybe anyone has ever read.

these are my 15 favourite Murphy's Laws on Tech and Logic. there are laws on all topics.

But here are 15 of em which are relevant for this blog.

check em out:

1. Logic is a systematic method of coming to the wrong conclusion with confidence.

2.Technology is dominated by those who manage what they do not understand.

3.If builders built buildings the way programmers wrote programs, then the first woodpecker that came along would destroy civilization.

4.Tell a man there are 300 billion stars in the universe and he'll believe you. Tell him a bench has wet paint on it and he'll have to touch to be sure. great discoveries are made by mistake.

5.An expert is one who knows more and more about less and less until he knows absolutely everything about nothing.

6. The primary function of the design engineer is to make things difficult for the fabricator and impossible for the serviceman.

7.Any circuit design must contain at least one part which is obsolete, two parts which are unobtainable and three parts which are still under development.

8.If mathematically you end up with the incorrect answer, try multiplying by the page number.

9.Computers are unreliable, but humans are even more unreliable. Any system which depends on human reliability is unreliable.

10.If you can't understand it, it is intuitively obvious.

11.Work smarder and not harder and be careful of yor speling.

12. If an experiment works, something has gone wrong.

13.When all else fails, read the instructions.

14. A man with one watch is certain about time. A man with two watches isn't.

15.if it works in theory, it won't work in practice.
if it works in practice it won't work in theory.

The Final round of the intersection mathematics quiz for class X will be held on Wednesday, the 16^th of May, in the AVH at 9:30. The qualifying teams are requested to report there at 9:20 sharp i.e. as soon as the break ends. Carry with you only a pen and nothing else.

The list of the teams that have qualified has already been put up on the notice boards in the CB block.

INTERSECTION MATHS QUIZ CLASS X PRELIMS

The solutions are as follows:

1)) there were many solutions but the easiest ones are
1+2+3+4+5+6+7+(8*9)
(1*2*3*4)*(5+6)+7 - (8+9)

2)) 2^0 , 2^1 , 2^2 , ..................... , 2^9

3)) it is LCM - 1
LCM is 2520 and the number is 2519


4)) the triangle numbers are represented by 1/2(n^2 + n) = nth term
we had to show that nth term + (n+1)th term is a perfect square
s=1/2(n^2 + n + n^2 + 1 + 2n + n+ 1)
=(n + 1)^2


5)) 4 6
7 1 8 2
3 5

6))simple geometry
area of shaded area is 3 times area of sector of angle 60 degrees(eq. triangle) - 2 times area of equilateral triangle
comes out to be 1/2(Pi - sqrt3) = 0.7047 approximately


7)) S= a+ar+ar^2+.................+ar^(n-1) [these are n terms]
rS= ar+ar^2+ar^3+.......................+ar^n [still n terms----multiplyng throughout by r]
Subtracting
S(1-r) = a - ar^n
S=a(1-r^n)/(1-r)

8))i admit this was the toughest one according to your standards
S = 1+3+6+10+15+....................t(n) [t(n) is the nth term]
S= 1+3+ 6+ 10+ ..................t(n-1) + t(n) [shifting and writing again]
Subtracting
0= 1+2+3+4+.........+n - t(n)
t(n)=n(n+1)/2 [these are triangle numbers]

Now the question waxs to find the sum
S=summation[t(n)] summation is given by sigma
= 1/2Sum(n^2) + 1/2Sum(n)
= 1/2{1/6n(n+1)(2n+1) + 1/2n(n+1)}

after simplifying
S= 1/6(n)(n+1)(n+2)


pretty simple!!