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u don't have to do anything until 10th april
see here

7^(7^7) and (7^7)^7 are different .

(7^7)^7 = 7^49 . The seventh root of this no. is 7^7.

But the question asked is 7^(7^7)
It's 7th root is 7^[(7^7)/7] which is equal to 7^(7^6)

There are 6 gaps into which 10 people have to be put . each of the gaps should have atleast 1 person.

this is equal to the no . of positive solutions to the equation :
x1 + x2 + .... + x6 = 10

So answer = ^10-1C_6-1 = 126.

Note that the chairman is given so he will not change. if u put the solutions of x1 , x2 ... into the gaps , it will correspond to exactly 1 solution.

All the last years answers with marking scheme http://cbse.nic.in/curric~1/Computer%20Science-Marking%20Schemes%20Science%20Subjects-XII-2007.pdf

dont say that u copied from here http://www.artofproblemsolving.com/Forum/viewtopic.php?t=190940&start=360

Follow my answer , that's all

I am getting ,

$\frac{2}{3} [ 2^{2n+1} \frac{n-1}{n+2} +1]$

\frac{2}{3} [ 2^{2n+1} \frac{n-1}{n+2} +1]

The expression can be written as

$\sum_{k=1}^{n} [4^k - \frac{4^{k+1}}{k+2} + \frac{4^{k}}{k+1} ]$

\sum_{k=1}^{n} [4^k - \frac{4^{k+1}}{k+2} + \frac{4^{k}}{k+1} ]

Now use telescopic cancellation and sum of GP

the function strrev(str) in the header file string.h will reverse the string.

if u want to reverse it ( displaying in the reverse order is not same as reversing)
use this,

char t;
for( int i=0, j= strlen(s)-1 ; i<j; i++ , j--)
{
t=s[i];
s[i]=s[j];
s[j]=t;
}

Is it 3:2?

Draw the lines and plot the points , u can easily get the answer.

fabs() is a function that returns the absolute value of a float

@ spidey he asking about SQL not c++

double quotes are used to label a column of a table with some name .
e.g. select sum(sal) "total salary" from emp;

will display the sum of sal but the column name will be "total salary " instead of sum(sal)

single quotes are used in all other places where strings are used. e.g. if there is a char array , then u can input the value 'hello'

a+2b is collinear with b-y???

what's 'y' here?

answer is k= 2
One way of rephrasing this question is to consider a cuboid of diagonal length d.

Then d1, d2 , d3 will be the diagonals of the rectangular faces ( and not the length of the sides )

If we take a, b, c as the sides of the cuboid , then
a^2 + b^2 + c^2 = d^2

Also ,
$a^2 + b^2 = {d_1}^2$

$b^2 + c^2 = {d_2}^2$

$a^2 + c^2 = {d_3}^2$

A tough part of this question is to identify why k=1 does n't work.

The reason is that the projection on the coordinate planes ( not axes ) are given. if axes were given then the answer is 1.

I don't understand how ppl like sandeepramesh and hsbhatt sir expects everyone to know about modulus and euler theorem.
Here's my answer.

3¹⁰⁰=9⁵⁰

=(10-1)⁵⁰

Expand using binomial theorem ,

= <some multiple of 100> - ⁵⁰C₁10 +⁵⁰C₀1
=<some multiple of 100> -500+1
=<some multiple of 100> +1
so the last two digits are 01.